File:Dodecagonal quasicrystal.png
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English: I was looking for a dodecagonal quasicrystal that was actually like this one where it can be split into closely repeating cells or into even more closely repeating larger cells in Google images and couldn't find one I was sure was like this one in that way so I made one. We all know that the slope of a line 60° from horizontal is square root of 3. And 2 plus root 3 has a multiplicative inverse in the numbers that can be expressed as an integer plus root 3 times an integer and it's 2 minus root 3. Taking negative powers of 2 plus root 3, we get 2 - root 3 then 7 - 4 root 3 then 26 - 15 root 3. Taking positive powers, we get 2 + root 3 then 7 + 4 root 3 then 26 + 15 root 3. This is supposed to be a triangular dot pattern superimposed on another triangular dot pattern rotation 90° from it but it's too hard to make it exact so I made a pattern of black dots with a slope of 26/15 and then using transparent selection and multiple microsoft paints, turned the dot pattern red then rotated it then superimposed it on this one. And then 4 corners are where a dot from one is exactly superimposed on a dot from the other. |
| Date | |
| Source | Own work |
| Author | Blackbombchu |
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I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:05, 15 March 2021 | | 785 × 785 (12 KB) | Blackbombchu (talk | contribs) | Uploaded own work with UploadWizard |
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