Image Copyright © 1998, B. Bensley, all rights reserved.
Kaleidoscope Resource
Mirror Systems
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Image
Copyright © 1998, B.
Bensley, all rights reserved.
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These are images of mirror designs that create 3 dimensional objects. Even though these say they are copyrighted in 1992, the resulting mirror systems are patented by Don Doak, and are thus protected by the patent rights of the patent holder. The patents should be respected, and in no way does the posting of these mirror systems or the copyright notice grants any rights of manufacture or production of these mirror systems (especially for commercial work)! Please contact the patent holder for such permission! |
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Note: I am still looking for more scanned mirror system designs, or the original drawings, especially one in the icosohedron family, that to my knowledge has never been reproduced before. In addition, a number of these mirror systems can be combined together to produce a mirror system that produces multiple images of the shapes that can continue off into infinity. Such mirror systems were also drawn up at this early date, however I have not been able to find the scans or original drawings....yet! |
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Angles between mirrors vs. number of reflections. The following table shows the angles between mirrors and how many reflections are created. Please note that the reflections should be even numbers to create a complete reflection in the last segment of the image.
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degree (n) |
Reflections = 360/n |
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180 |
2 |
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90 |
4 |
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60 |
6 |
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45 |
8 |
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36 |
10 |
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30 |
12 |
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25.71 |
14 |
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22.5 |
16 |
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20 |
18 |
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18 |
20 |
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16.36 |
22 |
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15 |
24 |
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13.85 |
26 |
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12.86 |
28 |
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12 |
30 |
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11.25 |
32 |
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10.59 |
34 |
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10 |
36 |
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9.47 |
38 |
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9 |
40 |
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8.57 |
42 |
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8.18 |
44 |
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7.83 |
46 |
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7.5 |
48 |
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7.2 |
50 |
If you have or know of site that tells you how to make kaleidoscopes, or other information on kaleidoscope making, please let me know and I will add it as soon as I can. Please email me at bdbensley@eiu.edu
Copyright © 1995-2001, 2009, B. Bensley
Note: I will not be held responsible for the information or content located on the sites these links direct you to. Please address all issues and concerns with the site owners!
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