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Aug 1st, 2013
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  1. algebraic3d
  2. solid cube = orthobrick (0, 0, 0; 1, 1, 1);
  3.  
  4. solid zwickl0 = polyhedron(0.250000, 0.266667, 0.800000;
  5. 0.266667, 0.233333, 0.783333;
  6. 0.483333, 0.500000, 0.800000;
  7. 0.527778, 0.222222, 0.500000;
  8. 0.538889, 0.233333, 0.500000;
  9. 0.533333, 0.233333, 0.516667;
  10. 0.516667, 0.566667, 0.233333;
  11. 0.533333, 0.516667, 0.233333;
  12. 0.533333, 0.766667, 0.483333;
  13. 0.183333, 0.766667, 0.233333;
  14. 0.233333, 0.783333, 0.233333;
  15. -0.016667, 0.766667, 0.433333;
  16. -0.033333, 0.516667, 0.766667;
  17. -0.016667, 0.566667, 0.766667;
  18. -0.033333, 0.766667, 0.516667;
  19. -0.033333, 0.483333, 0.233333;
  20. -0.033333, 0.233333, 0.483333;
  21. -0.016667, 0.233333, 0.433333;
  22. 0.250000, 0.777778, 0.222222;
  23. 0.266667, 0.766667, 0.216667;
  24. 0.250000, 0.766667, 0.211111;
  25. 0.250000, 0.733333, 0.800000;
  26. 0.016667, 0.500000, 0.800000;
  27. 0.233333, 0.766667, 0.783333;
  28. 0.266667, 0.783333, 0.766667;
  29. 0.316667, 0.766667, 0.766667;
  30. 0.516667, 0.766667, 0.566667;
  31. 0.233333, 0.216667, 0.233333;
  32. -0.016667, 0.216667, 0.483333;
  33. 0.250000, 0.233333, 0.211111;
  34. 0.250000, 0.222222, 0.222222;
  35. 0.266667, 0.233333, 0.216667;
  36. -0.050000, 0.266667, 0.500000;
  37. -0.127778, 0.500000, 0.500000;
  38. -0.050000, 0.500000, 0.733333;
  39. 0.266667, 0.783333, 0.233333;
  40. 0.316667, 0.766667, 0.233333;
  41. 0.316667, 0.233333, 0.766667;
  42. 0.516667, 0.433333, 0.766667;
  43. 0.516667, 0.233333, 0.566667;
  44. 0.233333, 0.783333, 0.766667;
  45. -0.016667, 0.783333, 0.516667;
  46. 0.250000, 0.800000, 0.733333;
  47. 0.550000, 0.266667, 0.500000;
  48. 0.250000, 0.777778, 0.777778;
  49. 0.266667, 0.766667, 0.783333;
  50. -0.050000, 0.733333, 0.500000;
  51. -0.050000, 0.500000, 0.266667;
  52. -0.033333, 0.766667, 0.483333;
  53. -0.016667, 0.516667, 0.216667;
  54. 0.016667, 0.500000, 0.200000;
  55. -0.016667, 0.500000, 0.211111;
  56. -0.027778, 0.777778, 0.500000;
  57. -0.038889, 0.766667, 0.500000;
  58. 0.266667, 0.216667, 0.233333;
  59. 0.250000, 0.211111, 0.233333;
  60. -0.016667, 0.216667, 0.516667;
  61. -0.027778, 0.222222, 0.500000;
  62. -0.033333, 0.233333, 0.516667;
  63. 0.516667, 0.516667, 0.783333;
  64. 0.516667, 0.500000, 0.788889;
  65. 0.483333, 0.200000, 0.500000;
  66. 0.250000, 0.200000, 0.733333;
  67. 0.516667, 0.216667, 0.516667;
  68. 0.266667, 0.216667, 0.766667;
  69. 0.233333, 0.216667, 0.766667;
  70. 0.316667, 0.233333, 0.233333;
  71. 0.516667, 0.433333, 0.233333;
  72. 0.516667, 0.483333, 0.216667;
  73. -0.016667, 0.483333, 0.216667;
  74. -0.027778, 0.500000, 0.222222;
  75. 0.538889, 0.500000, 0.233333;
  76. 0.550000, 0.500000, 0.266667;
  77. -0.016667, 0.566667, 0.233333;
  78. 0.233333, 0.766667, 0.216667;
  79. -0.016667, 0.783333, 0.483333;
  80. 0.516667, 0.483333, 0.783333;
  81. 0.533333, 0.483333, 0.233333;
  82. 0.516667, 0.233333, 0.433333;
  83. 0.516667, 0.216667, 0.483333;
  84. 0.527778, 0.500000, 0.222222;
  85. -0.016667, 0.766667, 0.566667;
  86. 0.533333, 0.483333, 0.766667;
  87. 0.527778, 0.500000, 0.777778;
  88. 0.250000, 0.733333, 0.200000;
  89. 0.250000, 0.500000, 0.122222;
  90. 0.533333, 0.516667, 0.766667;
  91. 0.538889, 0.500000, 0.766667;
  92. 0.550000, 0.500000, 0.733333;
  93. 0.233333, 0.233333, 0.216667;
  94. 0.516667, 0.566667, 0.766667;
  95. 0.533333, 0.766667, 0.516667;
  96. 0.250000, 0.266667, 0.200000;
  97. 0.533333, 0.233333, 0.483333;
  98. 0.250000, 0.233333, 0.788889;
  99. 0.250000, 0.222222, 0.777778;
  100. 0.233333, 0.233333, 0.783333;
  101. 0.516667, 0.788889, 0.500000;
  102. 0.527778, 0.777778, 0.500000;
  103. 0.516667, 0.783333, 0.483333;
  104. 0.483333, 0.800000, 0.500000;
  105. 0.250000, 0.877778, 0.500000;
  106. 0.250000, 0.788889, 0.766667;
  107. 0.516667, 0.783333, 0.516667;
  108. -0.033333, 0.483333, 0.766667;
  109. -0.038889, 0.500000, 0.766667;
  110. -0.027778, 0.500000, 0.777778;
  111. 0.183333, 0.766667, 0.766667;
  112. -0.038889, 0.233333, 0.500000;
  113. 0.250000, 0.200000, 0.266667;
  114. 0.516667, 0.211111, 0.500000;
  115. 0.538889, 0.766667, 0.500000;
  116. -0.016667, 0.433333, 0.233333;
  117. -0.016667, 0.516667, 0.783333;
  118. 0.250000, 0.800000, 0.266667;
  119. 0.016667, 0.200000, 0.500000;
  120. 0.016667, 0.800000, 0.500000;
  121. 0.516667, 0.500000, 0.211111;
  122. 0.483333, 0.500000, 0.200000;
  123. -0.016667, 0.433333, 0.766667;
  124. -0.016667, 0.233333, 0.566667;
  125. -0.033333, 0.516667, 0.233333;
  126. -0.016667, 0.500000, 0.788889;
  127. 0.250000, 0.211111, 0.766667;
  128. 0.516667, 0.516667, 0.216667;
  129. -0.016667, 0.483333, 0.783333;
  130. 0.550000, 0.733333, 0.500000;
  131. 0.250000, 0.788889, 0.233333;
  132. 0.250000, 0.122222, 0.500000;
  133. 0.183333, 0.233333, 0.233333;
  134. 0.516667, 0.766667, 0.433333;
  135. -0.016667, 0.211111, 0.500000;
  136. 0.250000, 0.766667, 0.788889;
  137. 0.183333, 0.233333, 0.766667;
  138. -0.038889, 0.500000, 0.233333;
  139. 0.627778, 0.500000, 0.500000;
  140. 0.250000, 0.500000, 0.877778;
  141. -0.016667, 0.788889, 0.500000;
  142. ;
  143. 1,2,3;
  144. 4,5,6;
  145. 8,7,9;
  146. 11,10,12;
  147. 13,14,15;
  148. 17,16,18;
  149. 19,20,21;
  150. 23,22,24;
  151. 25,26,27;
  152. 28,29,18;
  153. 31,30,32;
  154. 34,33,35;
  155. 36,37,20;
  156. 39,38,40;
  157. 42,41,43;
  158. 5,44,6;
  159. 45,46,25;
  160. 48,47,49;
  161. 50,51,52;
  162. 34,47,48;
  163. 15,53,54;
  164. 31,55,56;
  165. 58,57,59;
  166. 60,3,61;
  167. 63,62,64;
  168. 40,38,65;
  169. 66,57,63;
  170. 68,67,69;
  171. 70,52,51;
  172. 52,70,71;
  173. 3,60,46;
  174. 72,8,73;
  175. 50,74,75;
  176. 49,76,12;
  177. 37,7,20;
  178. 73,8,9;
  179. 77,61,3;
  180. 69,78,68;
  181. 79,80,55;
  182. 72,78,81;
  183. 42,15,82;
  184. 2,38,77;
  185. 77,83,84;
  186. 51,85,86;
  187. 87,88,89;
  188. 30,31,90;
  189. 83,6,89;
  190. 27,91,92;
  191. 93,32,30;
  192. 44,5,94;
  193. 96,95,97;
  194. 56,28,31;
  195. 98,99,100;
  196. 43,101,102;
  197. 5,4,94;
  198. 25,103,45;
  199. 104,98,101;
  200. 106,105,107;
  201. 24,41,108;
  202. 58,109,17;
  203. 41,24,45;
  204. 97,1,23;
  205. 28,56,110;
  206. 4,64,111;
  207. 40,64,6;
  208. 49,53,76;
  209. 76,11,12;
  210. 47,35,15;
  211. 99,112,9;
  212. 16,113,18;
  213. 114,23,24;
  214. 92,104,27;
  215. 36,115,100;
  216. 91,27,26;
  217. 116,29,110;
  218. 117,42,43;
  219. 118,69,119;
  220. 120,105,121;
  221. 87,89,92;
  222. 26,25,46;
  223. 122,48,49;
  224. 40,6,39;
  225. 11,76,115;
  226. 23,114,123;
  227. 117,102,115;
  228. 84,60,61;
  229. 65,63,64;
  230. 107,13,106;
  231. 55,31,32;
  232. 64,40,65;
  233. 93,90,51;
  234. 71,122,50;
  235. 57,116,63;
  236. 91,26,46;
  237. 22,3,46;
  238. 124,66,63;
  239. 7,125,20;
  240. 98,100,101;
  241. 123,126,23;
  242. 127,73,9;
  243. 94,79,68;
  244. 110,55,80;
  245. 115,128,11;
  246. 16,17,48;
  247. 62,129,110;
  248. 31,28,90;
  249. 69,118,81;
  250. 130,18,113;
  251. 38,39,77;
  252. 14,108,82;
  253. 85,119,86;
  254. 83,88,84;
  255. 100,9,131;
  256. 80,79,94;
  257. 132,58,29;
  258. 78,72,73;
  259. 91,87,92;
  260. 45,24,133;
  261. 134,66,97;
  262. 18,29,17;
  263. 48,122,135;
  264. 96,65,2;
  265. 11,75,10;
  266. 73,127,136;
  267. 44,94,73;
  268. 22,133,24;
  269. 103,25,43;
  270. 105,126,107;
  271. 63,65,124;
  272. 105,120,126;
  273. 59,105,35;
  274. 45,103,41;
  275. 126,97,23;
  276. 81,125,8;
  277. 13,107,114;
  278. 80,4,111;
  279. 112,127,9;
  280. 36,128,115;
  281. 36,100,131;
  282. 35,13,15;
  283. 33,34,48;
  284. 14,82,15;
  285. 128,19,11;
  286. 93,86,119;
  287. 122,71,135;
  288. 109,58,59;
  289. 69,32,119;
  290. 20,19,36;
  291. 127,89,136;
  292. 131,7,37;
  293. 105,106,35;
  294. 89,127,92;
  295. 121,134,120;
  296. 115,101,100;
  297. 70,90,113;
  298. 13,35,106;
  299. 103,43,41;
  300. 74,50,122;
  301. 61,77,84;
  302. 74,122,49;
  303. 85,51,75;
  304. 22,23,137;
  305. 57,121,59;
  306. 60,91,46;
  307. 10,74,12;
  308. 129,63,116;
  309. 85,21,20;
  310. 125,119,20;
  311. 1,97,95;
  312. 2,77,3;
  313. 78,94,68;
  314. 67,68,79;
  315. 28,130,90;
  316. 78,69,81;
  317. 94,78,73;
  318. 53,15,42;
  319. 17,33,48;
  320. 108,41,82;
  321. 83,77,39;
  322. 90,70,51;
  323. 104,92,99;
  324. 4,80,94;
  325. 138,117,76;
  326. 114,14,13;
  327. 88,83,89;
  328. 66,96,97;
  329. 46,45,133;
  330. 66,124,96;
  331. 117,138,42;
  332. 65,38,2;
  333. 14,114,24;
  334. 95,96,2;
  335. 59,33,109;
  336. 58,132,57;
  337. 134,97,120;
  338. 90,130,113;
  339. 29,28,110;
  340. 29,58,17;
  341. 62,110,80;
  342. 7,8,125;
  343. 60,84,87;
  344. 129,62,63;
  345. 64,4,6;
  346. 53,49,54;
  347. 135,16,48;
  348. 54,47,15;
  349. 33,17,109;
  350. 67,32,69;
  351. 104,25,27;
  352. 75,19,21;
  353. 67,55,32;
  354. 99,98,104;
  355. 110,129,116;
  356. 33,59,35;
  357. 128,36,19;
  358. 32,93,119;
  359. 105,59,121;
  360. 127,112,92;
  361. 113,16,70;
  362. 71,50,52;
  363. 47,54,49;
  364. 6,83,39;
  365. 51,50,75;
  366. 133,22,46;
  367. 3,22,137;
  368. 101,115,102;
  369. 87,91,60;
  370. 57,66,121;
  371. 138,76,53;
  372. 86,93,51;
  373. 66,134,121;
  374. 7,131,9;
  375. 21,85,75;
  376. 119,125,118;
  377. 16,135,71;
  378. 119,85,20;
  379. 29,116,132;
  380. 37,36,131;
  381. 2,1,95;
  382. 47,34,35;
  383. 67,79,55;
  384. 42,138,53;
  385. 137,1,3;
  386. 12,74,49;
  387. 41,42,82;
  388. 74,10,75;
  389. 112,99,92;
  390. 70,16,71;
  391. 9,100,99;
  392. 6,44,89;
  393. 90,93,30;
  394. 136,44,73;
  395. 8,72,81;
  396. 102,117,43;
  397. 65,96,124;
  398. 43,25,104;
  399. 114,107,123;
  400. 75,11,19;
  401. 76,117,115;
  402. 108,14,24;
  403. 101,43,104;
  404. 126,123,107;
  405. 116,57,132;
  406. 97,126,120;
  407. 55,110,56;
  408. 44,136,89;
  409. 130,28,18;
  410. 125,81,118;
  411. 1,137,23;
  412. 111,62,80;
  413. 88,87,84;
  414. 62,111,64);
  415.  
  416.  
  417. solid rev = cube and not zwickl0;
  418.  
  419. solid inc = cube and zwickl0;
  420.  
  421. tlo rev -col=[0,0,1] -transparent;
  422.  
  423. tlo inc -col=[1,0,0];
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