Pin having nonaligned cube axis and pin axis and bundle of such pins

Abstract

A pin for use in making the reflector includes an elongated snank shank of regular polygon outline and a cube-corner formation at one end. The cube axis of the cube-corner formation is at an angle other than zero degrees with respect to the pin axis. A group of such pins are assembled into a pin bundle for use in making a mold insert for the reflector.

Description

This is a division of application Ser. No. 354,153, filed Apr. 24, 1973adajcent adjacent reflector elements 60. A slippage loss results when there is a discontinuity or axial displacement between adjacent reflector elements, with the result that a portion of one element is blocked by a portion of another element to rays at more than a predetermined inclination to the cube axes. All of the element axes 68b are parallel, and therefore each element 60 has a square outline in the same plane; i.e., the elements 60 are bounded by a set of laterally extending parallel planes intersecting a set of longitudinally extending parallel planes. Accordingly, there is no slippage between the reflecting elements. Although the reflector 50 is comprised of reflector elements having cube axis in two different directions, all the faces 61 have been arranged more nearly parallel to the front face 52.

In a wide angle reflector in which the cube axes of some reflector elements are inclined in one direction and the cube axes of other reflector elements are inclined in another direction, it is often desirable that all of the reflector elements have one face which is more parallel to the front face of the reflector. Examination of the response characteristics of cube corner reflector elements shows that, if the entrance angle formed by incident light in a plane containing the cube axes and one edge of the cube-corner formation increases, the percentage of reflected light decreases in such plane. Moreover, as the angle between a ray of incident light and such plane increases, there is a further decrease in the percentage of reflected light. However, the loss in specific intensity for light rays out of such plane is much less when the face is more nearly parallel to the front face of the reflector. It is desirable that the reflector have not only wide angle response in a given plane, it is also desirable that the response not deteriorate substantially for light rays out of such plane.

Turning now to FIGS. 10 and 14, the method of making the reflector shown in FIGS. 1 to 9 will be described. There is shown in FIGS. 10 to 12 a pin 98 (the pin 98 is shown very much enlarged and may have side-to-side dimension of .04 inches or less) having a square outline, which pin has an elongated shank 99 and a cube-corner formation 100 at one end thereof. The cube-corner formation 100 has three mutually-perpendicular faces 101, 102, and 103, adjacent pairs of faces respectively meeting at edges 104, 105, and 106. The faces 101, 102, and 103 are inclined away from a common peak or apex 107. Each of the faces is substantially perpendicular to the other faces, that is, the face 101 is perpendicular to the faces 102 and 103; the face 103 is perpendicular top the faces 101 and 102; etc. The pin 98 has one side 109 of the square boundary which is right angle, rectilinear and is contained by the face 101. It should be noted that none of the other three sides of the square outline of the pin 98 is rectilinear. Specifically, the end of the edge 104 divides the lower (as viewed in FIG. 10) side 112 into a shorter side portion and a longer side portion. The edge 105 intersects the right (as viewed in FIG. 10) side at the center thereof to provide equal side portions. Finally, the edge 106 intersects the upper (as viewed in FIG. 10) side to provide a longer side portion and a shorter side portion. The faces 102 and 103 are mirror images of each other but each has a different shape and area than the face 101. The faces 102 and 103 are symmetrical and symmetrically disposed on opposite sides of their intersection or edge 105, while the face 101 is symmetrical with respect to an extension of the edge 105.

The pin 98 has a cube axis which is an imaginary line passing through the apex 107 and with respect to which each of the faces 101, 102, and 103 are symmetrically arranged. In other words, the same angle 34°16' is formed between the cube axis 108a and each of the faces 101, 102, and 103. Similarly the cube axis 108a is symmetrically arranged with respect to the edges 104, 105, and 106, the angle between each of the edges and the cube axes 108a being the same.

The pin 98 also has a pin axis 108b which, in FIG. 10, is perpendicular to the plane of the paper. Thus, the pin 98 and the cube-corner formation 100 have a square outline when projected in a plane perpendicular to the element axis 108b. It should be noted that the cube 108a is not aligned with the pin axis 108b. In the particular form illustrated, there is an angle of 6° between these two axes. This is in distinction to the usual pin wherein the cube axis and the pin axis are aligned. The arrangement of the standard pin is depicted by the dotted lines in FIG. 10. The three mutually perpendicular edges are respectively designated 104a, 105a, and 106a intersecting in an apex 107a. The apex 107a is located at the geometric center of the square outline depicted. With such an arrangement, the cube axis and the pin axis would be in alignment. In the modified form illustrated by the solid lines, the entire cube-corner formation 100 has been tilted to the right, as viewed in FIG. 10, so as to cause the angle between the face 101 and the axis 108a to increase from its nominal value of 35°16'. Assuming a 6° angle between the axes 108a and 108b, the angle between the face 101 and the pin axis 108b would increase to 41°16'. Of course the edge 105 remains perpendicular to the face 101 so that the nominal value of the angle between the edge 105 and the pin axis 108b decreases from its nominal value of 54°44' to 48°44', in the example described. It is to be noted that despite the modification to the cube-corner formation 100, the side 69 continues to be right angle rectilinear.

Thus, the cube-corner formation 100 at the end of the pin 98 is identical to the reflector element 60 illustrated in FIGS. 3 to 5. Also the relationship of the pin 98 to its axes 108a and 108b is the same as the relationship between the element 60 and its axes 68a and 68b.

A number of the pins 98 are arranged into a pin bundle as illustrated in FIGS. 13 and 14. In plan view, the pin bundle has the same appearance as the rear of the reflector illustrated in FIG. 6. The longitudinally extending pin axes 108b of the pins 98 are parallel to each other so that the flat sides of each pin can respectively abut against the flat sides of adjacent pins. Accordingly, the pin bundle will have the same compact arrangement achieved with non-angled pins, despite the fact that the cube-corner formations 100 are skewed. In the interest of brevity, the details of the manner in which the pins 98 are assembled into the pin bundle will not be described further, except to point out that the parts of the pin bundle correspond to the reflector 50 and similar reference numerals having been applied; for example, the element axis is marked 68b and the corresponding pin axis is marked 108b.

The pin bundle is placed in a plating tank in which nickel or the like is deposited or electroformed onto the faces 101, 102, and 103 of the pins 98. After a period of time, a sufficient thickness of material has been electroformed onto the faces to render the electroform self-supporting. At that time, it is pried off the pins 98, and the electroform that is separated therefrom is further processed, and after being cut and otherwise treated, becomes a mold part. Of course, the steps of electroforming are known in the art, whereby the above description is a sketchy one, simply to describe the over-all process. It is to be understood that there may be a great many steps in the process of forming the pins into the desired array, all the way up to obtaining an electroform for use as a mold. The electroform may be used in an injection molding process to furnish the reflector of FIGS. 1 to 9.

Turning now to FIGS. 15 to 26 of the drawings, a second embodiment of the present invention will be described. The reflector illustrated in FIGS. 1 to 9 responded to light rays in a combined zone of reflectorization in a plane parallel to planes containing the edges 65 of the reflector elements 60. The instant embodiment has a zone of reflectorization in two planes which may be perpendicular. The reflector elements have cube axes inclined at two different angles in each of two planes as opposed to the first embodiment in which the reflector elements 60 had cube axes at two different angles in a single plane.

The reflector incorporating the features of the second embodiment is designated generally 150 and has a construction generally similar to the reflector 50. The reflector 150 operates in the same manner to reflect light rays back to the source within predetermined zones of reflectorization which are defined by the various cube axes.

The reflector 150 comprises a plurality of reflector elements 160, each including three faces 161, 162, and 163 which intersect along edges 164, 165, and 166. The faces 161, 162, and 163 are inclined away from a common peak or apex 167. Each of the faces is substantially perpendicular to the other faces, that is, the face 161 is perpendicular to the faces 162 and 163; the face 163 is perpendicular to the faces 161 and 162, etc. The cube axis 168a is an imaginary line which passes through the apex 167 and with respect to which axis each of the faces 161, 162, and 163 are symmetrically arranged. In other words, the same angle is formed between the cube axis 168a and each of the faces 161, 162 and 163. Similarly, the cube axis 168a is symmetrically arranged with respect to the edges 164, 165 and 166, the angle between each of the edges and the cube axis 168a being the same.

The reflector element 160 also has an element axis 168b which in FIG. 15, is perpendicular to the plane of the paper. The reflectory element 150 has a rectangular outline when projected in a plane perpendicular to the element axis 168b; the outline is square in the embodiment illustrated. It should be noted that the cube axis 168a is not aligned with the element axis 168b. The arrangement of a reflector element in which these axes are aligned is depicted by the dotted lines in FIG. 15. The three mutually perpendicular edges are designated 164a, 165a, and 166a, intersecting in an apex 167a. The apex 167a is located at the geometric center of the square outline depicted. Although not apparent from the drawings, the ends of the edges 166 and 166a do not intersect the side 170 at a common point; similarly the edges 164 and 164a do not intersect the side 172 at a common point.

In the modified form illustrated by the solid lines, the entire cube-corner formation has been tilted to the right and upwardly, as viewed in FIG. 15. In this second embodiment, such tilt is performed in a diagonal plane 175, which contains the cube axis 168a and the element axis 168b. It is in this predetermined plane that a wide angle response is attained. The angle between the cube axis 168a and the element axis 168b, measured in such predetermined plane, is preferably in the range of about 6° to 13°. In the particular form illustrated, such angle is 6°.

Each reflector element 160 has one side 169 of the square outline which is rectilinear, although no longer right angle, and is contained by the face 161. The end of the edge 164 divides the lower (as viewed in FIG. 15) side 172 into shorter and longer side portions; the edge 165 intersects the right side 171 to divide it into longer and shorter side portions; and the edge 166 intersects the upper side 170 to divide it into longer and shorter portions.

Turning now to FIGS. 18 to 20, further details of the reflector 150 will be described. The reflector elements are arranged into rectangular units, each having four elements situated in the four quadrants of a rectangle. The unit shown in FIG. 19 includes two reflector elements 160 and two additional elements 180 each of which differs from the element 160, in that they are mirror images of each other. It is to be understood, however, that the element 180 is in all other respects essentially identical to the element 160. For convenience, the parts of the element 180 are identified by numbers which correspond to those used with respect to the corresponding parts of the element 160.

The cube axis 168a of the first reflector element 160 (in the upper left quadrant, as viewed in FIG. 19) lies in a diagonal plane 175 and is inclined downwardly and to the left, as viewed in FIG. 19. The cube axis 188a of the second reflector element 180 (upper right quadrant) lies in a diagonal plane 195 and is directed downwardly and to the right; the cube axis 168a of the third reflector element 160 (lower right quadrant) lies in a diagonal plane 175 and is directed upwardly and to the right; and the cube axis 188a of the fourth reflector element 180 (lower left quadrant) lies in a diagonal plane 195 and is directed upwardly and to the left. In all four elements, the associated cube axis is assumed to extend in the specified direction from behind FIG. 19; i.e., from the front face 152 to the rear surface 153.

The first reflector element 160 is the mirror image of the second reflector element 180, and the third reflector element 160 is the mirror image of the fourth reflector element 180. The edge 165 of one reflector element 160 and the edge 185 of a laterally adjacent reflector element 180 lie in a common plane. In the form illustrated, the angle of the cube axis of the third element 160 is substantially equal to the angle of the first element 160, but is opposite in sign; similarly, the angle of the cube axis of the fourth element 180 is substantially equal to the angle of the second element 180, but is opposite in sign. All of the element axes of the elements 160 and 180 are parallel throughout the reflector 150.

The sides 170 of the reflector elements 160 are respectively in common with the sides 190 of the longitudinally adjacent reflector elements 180. The sides 169 of the reflector elements 160 are respectively in common with the sides 189 of the laterally adjacent elements. Thus, each mating pair of sides within the unit is substantially identical, so that each juncture is substantially perfect.

Each lateral side of the unit, as outlined in FIG. 19, is defined by the sides 171 and 191 respectively of the reflector elements 160 and 180. The sides 171 and 191 of the reflector elements 160 and 180 in one unit respectively mate with the sides 191 and 171 of the reflector elements 180 and 160 of laterally adjacent units. Each longitudinal side of the unit is defined by the sides 172 and 192 respectively of the reflector elements 160 and 180. The sides 172 and 192 of the reflector elements 160 and 180 in one unit respectively mate with the sides 192 and 172 of the reflector elements 180 and 160 in longitudinally adjacent units. Each mating pair of adjoining units is identical, so that each juncture is substantially perfect; i.e., no axial displacement of one element with respect to an adjacent element. Each unit is bounded by one set of two parallel planes defined by the sides 172 and 192 and by another set of two parallel planes defined by the sides 171 and 191. The faces 161 and 181 are planar continuations respectively of longitudinally adjacent faces 161 and 181.

Each reflector element is capable of reflecting light back toward the source thereof within a zone of reflectorization defined by the associated cube axis and in a predetermined plane containing the associated cube axis and element axis. In the first reflector element 160, for example, the zone of reflectorization is in the diagonal plane 175. Assuming the same exemplary values used in respect to the first embodiment, the reflector 150 has a zone of reflectorization of -26° to +8° in one of the planes 175, and -8° to +26° in the other one of the planes 175. The combined zone of reflectorization resulting from the individual zones of reflectorization in the two planes 175 is measured in a single plane parallel thereto and is equal to ±26°. Similarly, the reflector 150 has a zone of reflectorization of -26° to +8° in one of the planes 195, and -8° to +26° in the other one of the planes 195. The combined zone of reflectorization resulting from the individual zones of reflectorization in the two planes 195 would be measured in a single plane parallel thereto and is equal to ± 26°. Thus, it can be seen that the reflector 150 furnishes zones of reflectorization in two perpendicular planes. By a suitable modification of the inclination of the cube axes, the reflector 150 may have zones of reflectorization in two planes which are not perpendicular.

The units illustrated in FIG. 19 are interspersed throughout the reflector 150, so that it will appear fully illuminated throughout its area to a vehicle which is in the combined zones of reflectorization.

A particular advantage achieved by the reflector 150 is the absence of "slippage" and resultant "shadowing" between adjacent reflector elements 160 and 180, whether in a unit or between units. No slippage loss is present since there is no discontinuity or axial displacement between adjacent reflector elements. All of the element axes 168b and 188b are parallel, and, therefore, each element 160 and 180 has a square outline in the same plane. Accordingly, there is no "slippage" between the reflector elements.

Turning now to FIGS. 22 to 26, the method of making the reflector 150 shown in FIGS. 15 to 21 will be described. There is shown in FIG. 22 a pin 198 (the pin 198 is shown very much enlarged and may have side-to-side dimension of .04 inches or less) having a square outline, which pin has an elongated shank 199 and a cube-corner formation 200 at one end thereof. The cube-corner formation 200 has three mutually perpendicular faces 201, 202, and 203, adjacent pairs of faces respectively meeting at edges 204, 205, and 206. The faces 201, 202 and 203 are inclined away from a common peak or apex 207. Each of the faces is substantially perpendicular to the other faces, that is, the face 201 is perpendicular to the faces 202 and 203; the face 203 is perpendicular to the faces 201 and 202, etc. The pin 198 has one side 209 of the square outline which is rectilinear and is contained by the face 201. It should be noted that none of the other three sides of the square outline of the pin 198 is rectilinear. Specifically, the end of the edge 204 divides the lower (as viewed in FIG. 22) side 210 in a shorter side portion and a longer side portion. The edge 205 intersects the right side to divide it into longer and shorter side portions. Finally, the edge 206 intersects the upper side 212 to divide it into a longer side portion and a shorter side portion.

The pin 198 has a cube axis 208a which is an imaginary line passing through the apex 207 and with respect to which each of the faces 201, 202, and 203 are symmetrically arranged. In other words, the same angle 34°16' is formed between the cube axis 108a and each of the faces 201, 202, and 203. Similarly the cube axis 208a is symmetrically arranged with respect to the edges 204, 205, and 206, the angle between each of the edges and the cube axes 208a being the same.

The pin 198 also has a pin axis 208b which, in FIG. 22, is perpendicular to the plane of the paper. Thus, the pin 198 and the cube-corner formation 200 have a square outline when projected in a plane perpendicular to the pin axis 208b. It should be noted that the cube axis 208a is not aligned with the pin axis 208b. In the particular form illustrated, the angle between the cube axes 208a and the pin axis 208b in a diagonal plane of the square outline is about 6°. The arrangement of the standard pin is depicted by the dotted lines in FIG. 22. The three mutually perpendicular edges are respectively designated 204a, 205a, and 206a, intersecting in an apex 207a. The apex 207a is located at the geometric center of the square outline depicted. With such an arrangement, the cube axis and the pin axis would be in alignment. In the modified form illustrated by the solid lines, the entire cube-corner formation 200 has been tilted along the diagonal of the square outline. Thus, the cube-corner formation has the same characteristics as the reflector element 150. A second pin 218 has the same construction as the pin 198, except that one is the mirror image of the other. The relationship of the pins 198 and 218 to their respective cube and pin axes is the same as the relationship of the reflector elements 160 and 180 to their respective cube and element axes.

A number of the pins 98 and 208 are arranged into a pin bundle, as illustrated in FIGS. 25 and 26. In plan view, the pin bundle has the same appearance as the rear of the reflector 150 illustrated in FIG. 13. The longitudinally extending pin axes of the pins 198 and 218 are parallel to each other, so that the flat sides of each pin respectively abut against the flat sides of adjacent pins. Accordingly, the pin bundle will have the same compact arrangement achieved with nonangled pins, despite the fact that the cube-corner formations 200 and 220 are skewed. In the interest of brevity, the details of the manner in which the pins 198 and 218 are assembled into the pin bundle will not be described further, except to point out that the parts of the pin bundle correspond to the reflector 150 and similar reference numerals having been applied; for example, an element axis is marked 168b and the corresponding pin axis is marked 208b. The pin bundle is used to make a reflector in the same manner used in respect to the first embodiment.

Turning now to FIGS. 27 to 38 of the drawings, a third embodiment of the present invention will be described. The instant embodiment has a zone of reflectorization in each of two perpendicular planes, and the reflector elements have cube axes inclined at two different angles in each plane. The reflector incorporating the features of the second embodiment is designated generally 250. The reflector 250 operates in the same manner as the reflector 50 to reflect light rays back to the source within predetermined zones of reflectorization which are defined by the various cube axes.

The reflector 250 comprises a plurality of reflector elements 260, each including three faces 261, 262, and 263 which intersect along edges 264, 265, and 266. The faces 261, 262, and 263 are inclined away from a common peak or apex 267. Each of the faces is substantially perpendicular to the other faces, that is, the face 261 is perpendicular to the faces 262 and 263; the face 263 is perpendicular to the faces 261 and 262; etc. The cube axis 268a is an imaginary line which passes through the apex 267 and with respect to which axis each of the faces 261, 262, and 263 are symmetrically arranged. In other words, the same angle is formed between the cube axis 268a and each of the faces 261, 262, and 263. Similarly, the cube axis 268a is symmetrically arranged with respect to the edges 264, 265, and 266, the angle between each of the edges and the cube axis 268a being the same.

The reflector element 260 also has an element axis 268b, which in FIG. 27, is perpendicular to the plane of the paper. The reflector element 260 has a rectangular outline when projected in a plane perpendicular to the element axis 268b; the outline is square in the embodiment illustrated. It should be noted that the cube axis 268a is not aligned with the element axis 268b. The arrangement of a reflector element in which these axes are aligned is depicted by the dotted lines in FIG. 27. The three mutually perpendicular edges are designated 264a, 265a, and 266a, intersecting in an apex 267a. The apex 267a is located in the geometric center of the square outline depicted. With such an arrangement, the cube axis and the element axis are in alignment.

In the modified form illustrated by the solid lines, the entire cube-corner formation has been tilted to the right and upwardly, as viewed in FIG. 27. In this third embodiment, such tilt is performed in a diagonal plane, which contains the edge 265, the cube axis 268a, and the element axis 268b. It is in this predetermined plane that a wide angle response is attained. The angle between the cube axis 268a and the element axis 268b, measured in such predetermined plane is in the range of about 6° to 13°. In the particular form illustrated, such angle is 6°.

The reflector element 260 has two rectilinear sides 270 and 271, which sides and the edge 265 intersect in a common point. A third side 272 of the element 260 is divided by the end of the edge 264 into longer and shorter side portions. The remaining side 269 of the reflector element 260 is divided into shorter and longer side portions by virtue of the intersection of the edge 266 with such side.

The faces 262 and 263 are symmetrical and symmetrically disposed on opposite sides of the edge 265, while the face 261 is symmetrical about a plane passing through the edge 265 and the opposite corner of the element 260. The faces 262 and 263 are mirror images, and each has a different shape and area than the face 261.

Referring to FIG. 31, there is shown a unit consisting of four elements 260 each being rotated 90° with respect to the adjacent reflector element and disposed in the four quadrants of a square outline. Thus, a plane passing through the edges 265 of one pair of diagonally opposite reflector elements 260 is perpendicular to a plane passing through the edges 265 of another pair of diagonally opposite reflector elements 260. The four faces 261 meet at a common point which is the center of the unit.

All of the element axes 268b of the reflector elements 260 are parallel throughout the reflector 250. The sides 269 of the reflector elements 260 are respectively in common with the sides 272 of adjacent reflector elements 260. Each mating pair of sides within the unit is substantially identical, so that each juncture is substantially perfect (no axial displacement).

Each unit, as illustrated in FIG. 31, is bounded by one set of two parallel planes defined by the sides 270 and 271, and by another set of two parallel planes, also defined by the sides 270 and 271, which intersect the first two planes. Each mating pair of sides of adjoining units is identical, so that each juncture is substantially perfect (no axial displacement).

Each reflector element 260 is capable of reflecting light back toward the source thereof within a zone of reflectorization defined by the associated cube axis 268a and in a diagonal plane containing the cube axis 268a and the element axis 268b. Assuming the same exemplary values used in respect to the first and second embodiments, each reflector element 260 has a zone of reflectorization of -26° to +8° in each diagonal plane. The combined zone of reflectorization resulting from the individual zones of reflectorization of one pair of diagonally opposite reflector elements is measured in a first plane passing diagonally through the unit and is equal to ±26°. The combined zone of reflectorization resulting from the individual zones of reflectorization in the other pair of diagonally opposite reflector elements is measured in a second plane passing diagonally through the unit perpendicular to the first plane and is equal to ±26°. Thus, it can be seen that the reflector 250 furnishes zones of reflectorization in two perpendicular planes.

The units illustrated in FIG. 31 are interspersed throughout the reflector 250, so that it will appear fully illuminated throughout its area to a viewer in the combined zones of reflectorization.

A particular advantage achieved by the reflector 250 is the absence of "slippage" and resultant "shadowing" between adjacent reflector elements 260, whether in a unit or between units. No slippage loss is present since there is no discontinuity or axial displacement between adjacent reflector elements. All of the element axes 268b are parallel, and, therefore, each element 260 has a square outline in the same plane. Accordingly, there is no "slippage" between the reflector elements.

Turning now to FIGS. 34 to 38, the method of making the reflector shown in FIGS. 27 to 33 will be described. There is shown in FIG. 34 a pin 298 (the pin 298 is shown very much enlarged and may have side-to-side dimension of .04 inches or less) having a square outline, which pin has an elongated shank 299 and a cube-corner formation 300 at one end thereof. The cube-corner formation 300 has three mutually perpendicular faces 301, 302, and 303, adjacent pairs of faces respectively meeting at edges 304, 305, and 306. The faces 301, 302, and 303 are inclined away from a common peak or apex 307. Each of the faces is substantially perpendicular to the other faces, that is: the face 301 is perpendicular to the faces 302 and 303; the face 303 is perpendicular to the faces 301 and 302; etc. The pin 298 has two rectilinear sides 310 and 311, which sides and the edge 305 intersect in a common point. A third side 312 of the cube-corner formation 300 is divided by the end of the edge 304 into longer and shorter side portions. The remaining side 309 of the cube-corner formation 300 is divided into shorter and longer side portions by virtue of the intersection of the edge 306 with such side.

The faces 302 and 303 are symmetrical and symmetrically disposed on opposite sides of the edge 305, while the face 301 is symmetrical about a plane passing through the edge 305 and the opposite corner of the formation 300. The faces 302 and 303 are mirror images, and each has a different shape and area than the face 301.

The pin 298 has a cube axis 308a which is an imaginary line passing through the apex 307 and with respect to which each of the faces 301, 302, and 303 are symmetrically arranged. In other words, the same angle 34°16' is formed between the cube axis 208a and each of the faces 301, 302, and 303. Similarly, the cube axis 308a is symmetrically arranged with respect to the edges 304, 305, and 306, the angle between each of the edges and the cube axes 308a being the same.

The pin 298 also has a pin axis 308b which, in FIG. 34, is perpendicular to the plane of the paper. Thus, the pin 298 and the cube-corner formation 300 have a square outline when projected in a plane perpendicular to the pin axis 308b. It should be noted that the cube axis 308a is not aligned with the pin axis 308b. In the particular form illustrated, there is an angle of 6° between these two axes in a diagonal plane containing the edge 305, the cube axis 308a, and the pin axis 308b. The arrangement of the standard pin is depicted by the dotted lines in FIG. 34. The three mutually perpendicular edges are respectively designated 304a, 305a, and 306a, intersecting in an apex 307a. The apex 307a is located at the geometric center of the square outline depicted. With such an arrangement, the cube axis and the pin axis would be in alignment. In the modified form illustrated by the solid lines, the entire cube-corner formation 300 has been tilted along the diagonal of the outline. Thus, the cube-corner formation has the same characteristics as the reflector element 260. The relationship of the pin 298 to its cube axis 308a and pin axis 308b is the same as the relationship of the reflector element 160 to its cube axis 168a and element axis 168b.

A number of the pins 298 are arranged into a pin bundle as illustrated in FIGS. 37 and 38. In plan view, the pin bundle has the same appearance as the rear of the reflector 250 illustrated in FIG. 30. The longitudinally extending pin axes of the pins 298 are parallel to each other, so that the flat sides of each pin respectively abut against the flat sides of adjacent pins. Accordingly, the pin bundle will have the same compact arrangement achieved with nonangled pins, despite the fact that the cube-corner formations 300 are skewed. In the interest of brevity, the details of the manner in which the pins 298 are assembled into the pin bundle will not be described further, except to point out that the parts of the pin bundle correspond to the reflector 250 and similar reference numerals having been applied; for example, an element axis is marked 268b and the corresponding pin axis is marked 308b. The pin bundle is used to make a reflector in the same manner used in respect to the first and second embodiments.

What has been described, therefore, are three embodiments of a side angle reflector which accepts light within a relatively broad zone. In the first embodiment, that zone is measured in one plane; in the second and third embodiments, two such zones are provided in two perpendicular planes, so as to accept light over a broad range of entrance angles. The latter two embodiments are also less susceptible to variation by virtue of change in orientation (that is, rotated by an axis parallel to the element axes). An approved apparatus of making each of the three reflectors has also been described, which consists in providing a pin with its cube-corner formation tilted with respect to the pin axis.

It is believed that the invention, its mode of construction and assembly, and many of its advantages should be readily understood from the foregoing without further description, and it should also be manifest that, while preferred embodiments of the invention have been shown and described for illustrative purposes, the structural details are, nevertheless, capable of wide variation within the purview of the invention as defined in the appended claims.

Claims

1. A pin for use in making cube-corner reflectors capable of reflecting light back to the source thereof said pin comprising an elongated shank being of regular polygon outline and having a longitudinally extending pin axis, and a cube-corner formation at one end of said shank and having a cube axis at an angle to said pin axis of other than zero degrees, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges.

2. The pin set forth in claim 1, wherein said elongated shank is square in outline.

3. The pin set forth in claim 1, wherein said pin is constructed of stainless steel.

4. The pin set forth in claim 1, wherein said predetermined angle is in the range of about 6° to 13°.

5. A pin for use in making cube-corner reflectors capable of reflecting light back to the source thereof said pin comprising an elongated shank being of rectangular outline and having a longitudinally extending pin axis, and a cube-corner formation at one end of said shank and having a cube axis at an angle to said pin axis of other than zero degrees, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, said cube-corner formation having a given side which is rectilinear and is contained by one of said faces and lies in a plane perpendicular to said pin axis.

6. The pin set forth in claim 5, wherein one of said one edges lies in the plane containing said pin axis and said cube axis.

7. The pin set forth in claim 5, wherein none of said edges lies in the plane containing said pin axis and said cube axis.

8. A pin for use in making cube-corner reflectors capable of reflecting light back to the source thereof said pin comprising an elongated shank being of rectangular outline and having a longitudinally extending pin axis, a cube-corner formation at one end of said shank and having a cube axis at an angle to said pin axis of other than zero degrees, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, said cube-corner formation having one of said edges thereof terminating at a corner of the associated outline.

9. The pin set forth in claim 8, wherein said one edge lies in a plane containing said cube axis and said pin axis.

10. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of regular polygon outline and having a longitudinally extending pin axis, said cube-corner formation having a cube axis at an angle to said pin axis of other than zero degrees, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, the pin axes respectively of said pins being disposed substantially parallel to one another.

11. The pin bundle set forth in claim 10, wherein said elongated shank has a square outline.

12. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of regular polygon outline and having a longitudinally extending pin axis, each of said cube-corner formations having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, the pin axes respectively of said pins being disposed substantially parallel to one another, the cube axes of a first group of said pins being inclined with respect to the associated pin axes at a first angle as measured in a predetermined plane, the cube axes of a second group of said pins being inclined with respect to the associated pin axes at a second different angle as measured in said predetermined plane.

13. The pin bundle set forth in claim 12, wherein the cube axes of the pins in said first group are substantially parallel to one another, and the cube axes of the pins in said second group are substantially parallel to one another.

14. The pin bundle set forth in claim 12, wherein said first and second groups of pins are interspersed.

15. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of regular polygon outline and having a longitudinally extending pin axis, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting three mutually perpendicular edges, said cube-corner formation having a given side which is rectilinear and is contained by one of said faces and lies in a plane perpendicular to said pin axis, one edge of said cube-corner formation being substantially perpendicular to said one face and lying in a predetermined plane, the pin axes respectively of said pins being disposed substantially parallel to one another, said pins being arranged in said first and second rows, the cube axes of the pins in said first rows being inclined with respect to the associated pin axes at a first angle as measured in said predetermined plane, the cube axes of the pins in said second rows being inclined with respect to the associated pin axes at a second different angle as measured in said predetermined plane.

16. The pin bundle set forth in claim 15, wherein all of said one edges are parallel.

17. The pin bundle set forth in claim 15, wherein said first and second rows of pins alternate.

18. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of regular polygon outline and having a longitudinally extending pin axis, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, said cube-corner formation having a given side which is rectilinear and is contained by one of said faces and lies in a plane perpendicular to said pin axis, one edge of said cube-corner formation being substantially perpendicular to said one face, the pin axes respectively of said pins being disposed substantially parallel to one another, said pins being arranged in units each having first and second and third and fourth pins respectively clockwise situated in the four quadrants of a rectangle, the cube axes of said first and second and third and fourth pins being inclined with respect to the associated pin axes respectively at first and second and third and fourth angles as measured respectively in first and second and third and fourth planes.

19. The pin bundle set forth in claim 18, wherein said first pin is a mirror image of said second pin, and said third pin is the mirror image of said fourth pin.

20. The pin bundle set forth in claim 18, wherein said first and third planes are substantially parallel, and said second and fourth planes are substantially parallel.

21. The pin bundle set forth in claim 18, wherein said one edges of said first and second pins lie in a common plane and said one edges of said third and fourth pins lie in a common plane.

22. The pin bundle set forth in claim 18, wherein said one edges of said first and fourth pins are not parallel, and said one edges of said second and third pins are not parallel.

23. The pin bundle set forth in claim 18, wherein said third pin is rotated 180° with respect to said first pin, and said fourth pin is rotated 180° with respect to said second pin.

24. The pin bundle set forth in claim 18, wherein said first pin is the mirror image of said fourth pin, and said third pin is the mirror image of said second pin.

25. The pin bundle set forth in claim 18, wherein said given side of said first pin is in common with said given side of said second pin so as to provide a rectilinear boundary between said first and second pins, and said given side of said third pin is in common with said given side of said fourth pin so as to provide a rectilinear boundary between said third and fourth pins.

26. The pin bundle set forth in claim 18, wherein said unit is substantially square in outline when projected in a plane perpendicular to the associated pin, and each of said pins is substantially square in outline when projected in a plane perpendicular to the associated pin axes.

27. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of regular polygon outline and having a longitudinally extending pin axis, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, said cube-corner formation having one of said edges thereof terminating at a corner of the associated outline, the pin axes respectively of said pins being disposed substantially parallel to one another, said pins being arranged into rectangular units having four pins respectively situated in the four quadrants of a rectangle, the cube axes respectively of said first and second and third and fourth pins being inclined with respect to the associated pin axes respectively at first and second and third and fourth angles as measured respectively in first and second and third and fourth planes.

28. The pin bundle set forth in claim 27, wherein said first and third planes are substantially coplanar, and said second and fourth planes are substantially coplanar.

29. The pin bundle set forth in claim 27, wherein said unit is substantially square in outline when projected in a plane perpendicular to the associated pin axes, and each of said reflector elements is substantially square in outline when projected in a plane perpendicular to the asociated pin axis.

30. The pin bundle set forth in claim 27, wherein said one edges respectively of said reflector elements extend respectively to the corners of said unit.

31. A pin for use in making cube-corner reflectors capable of reflecting light back to the source thereof, said pin comprising an elongated shank being of polygon outline and having a longitudinally extending pin axis, and a cube-corner formation at one end of said shank and having a cube axis at an angle to said pin axis of other than zero degrees, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges.

32. The pin set forth in claim 31, wherein said predetermined angle is in the range of about 6° to 13°.

33. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof, said elongated shank being of polygon outline and having a longitudinally extending pin axis, said cube-corner formation having a cube axis at an angle to said pin axis of other than zero degrees, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, the pin axes respectively of said pins being disposed substantially parallel to one another.

34. The pin bundle set forth in claim 33, wherein said elongated shank has a rectangular outline.

35. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of polygon outline and having a longitudinally extending pin axis, each of said cube-corner formations having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, the pin axes respectively of said pins being disposed substantially parallel to one another, the cube axes of a first group of said pins being inclined with respect to the associated pin axes at a first angle as measured in a predetermined plane, the cube axes of a second group of said pins being inclined with respect to the associated pin axes at a second different angle as measured in said predetermined plane.

36. The pin bundle set forth in claim 35, wherein said first and second groups of pins are interspersed.

37. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a side angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of polygon outline and having a longitudinally extending pin axis, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting three mutually perpendicular edges, said cube-corner formation having a given side which is rectilinear and is contained by one of said faces and lies in a plane perpendicular to said pin axis, one edge of said cube-corner formation being substantially perpendicular to said one face and lying in a predetermined plane, the pin axes respectively of said pins being disposed substantially parallel to one another, said pins being arranged in said first and second rows, the cube axes of the pins in said first rows being inclined with respect to the associated pin axes at a first angle as measured in said predetermined plane, the cube axes of the pins in said second rows being inclined with respect to the associated pin axes at a second different angle as measured in said predetermined plane.

38. The pin bundle set forth in claim 37, wherein all of said one edges are parallel.

39. The pin bundle set forth in claim 37, wherein said first and second rows of pins alternate.

40. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of polygon outline and having a longitudinally extending pin axis, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, said cube-corner formation having a given side which is rectilinear and is contained by one of said faces and lies in a plane perpendicular to said pin axis, one edge of said cube-corner formation being substantially perpendicular to said one face, the pin axes respectively of said pins being disposed substantially parallel to one another, said pins being arranged in units each having a first and second and third and fourth pins respectively clockwise situated in the four quadrants of a rectangle, the cube axes of said first and second and third and fourth pins being inclined with respect to the associated pin axes respectively at first and second and third and fourth angles as measured respectively in first and second and third and fourth planes.

41. The pin bundle set forth in claim 40, wherein said one edges of said first and second pins lie in a common plane and said one edges of said third and fourth pins lie in a common plane.

42. The pin bundle set forth in claim 40, wherein said one edges of said first and fourth pins are not parallel, and said one edges of said second and third pins are not parallel.

43. The pin bundle set forth in claim 40, wherein said third pin is rotated 180° with respect to said first pin, and said fourth pin is rotated 180° with respect to said second pin.

44. The pin bundle set forth in claim 40, wherein said first pin is the mirror image of said fourth pin, and said third pin is the mirror image of said second pin.

45. The pin bundle set forth in claim 40, wherein said given side of said first pin is in common with said given side of said second pin so as to provide a rectilinear boundary between said first and second pins, and said given side of said third pin is in common with said given side of said fourth pin so as to provide a rectilinear boundary between said third and fourth pins.

46. A pin bundle for use in making cube-corner reflectors capable of reflecting light back to the source thereof over a wide angle, said pin bundle comprising a plurality of pins each including an elongated shank and a cube-corner formation at one end thereof and a cube axis, said elongated shank being of polygon outline and having a longitudinally extending pin axis, said cube-corner formation having three mutually perpendicular faces symmetrically arranged with respect to said cube axis and respectively intersecting in three mutually perpendicular edges, said cube-corner formation having one of said edges thereof terminating at a corner of the associated outline, the pin axes respectively of said pins being disposed substantially parallel to one another, said pins being arranged into rectangular units each having four pins respectively situated in the four quadrants of a rectangle, the cube axes respectively of said first and second and third and fourth pins being inclined with respect to the associated pin axes respectively at first and second and third and fourth angles as measured respectively in first and second and third and fourth planes.

47. A pin bundle set forth in claim 46, wherein said first and third planes are substantially coplanar, and said second and fourth planes are substantially coplanar.

48. The pin bundle set forth in claim 46, wherein said one edges respectively of said cube-corner formation of each pin extend respectively to the corners of said unit.