dodecagonal-antiprism-ring-toroid-05-all-components-aligned : 無料・フリー素材/写真
dodecagonal-antiprism-ring-toroid-05-all-components-aligned / Ardonik
| ライセンス | クリエイティブ・コモンズ 表示-継承 2.1 |
|---|---|
| 説明 | Instead of a donut, I got a helix for my trouble. The polyhedron didn't even close.I tried to keep it flat--honestly, I did. But that became harder and harder as more and more flaps were glued and the reality of the underlying geometry began to assert itself.The most plausible technical explanation I have for why this occurred is that the "twist angle" for an N-antiprism (that is, the number of degrees by which the bottom face rotates with respect to the top face) is 180° divided by N, which means that the twist for a dodecagonal antiprism is 15° less than the twist for a hexagonal antiprism. I suspect--without proof--that the twist angles would have to be equal for the top and bottom rings to connect together in the way I wanted, and that both the toroid's final failure to close and its inability to simply lie flat were the indirect result of this angular disparity.An explanation from an expert on the subject matter would be greatly appreciated. |
| 撮影日 | 2010-06-11 19:31:53 |
| 撮影者 | Ardonik |
| タグ | |
| 撮影地 | |
| カメラ | Canon PowerShot A470 , Canon |
| 露出 | 0.025 sec (1/40) |
| 開放F値 | f/3.0 |
| 焦点距離 | 13714.28571 dpi |