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Fractions Template: Interactive Visualizing Fractions with Geometric Constructio

Fractions Template: Interactive Visualizing Fractions with Geometric Constructio
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2020-04-01 17:50
CircleTransformationGeometric ConstructionSlider Animation
① This template demonstrates fraction concepts through an interactive geometric model, where fractions are represented by partitioned shapes and labeled parts. ② Core mathematical concepts include fraction representation, unit fraction division, and the correspondence between fractions and geometric figures such as circles and segments, along with transformations like symmetry and rotation. ③ Construction highlights: Based on the summary, the template uses GeoGebra commands including Point, Segment, Mirror, CircleSector, Rotate, Midpoint, Line, and Circle, creating multiple auxiliary points (A, B, C, etc.) and text objects (texte1, texte2) to label fraction values, enabling dynamic linkage between fractions and shapes. ④ Suitable for upper elementary to middle school students learning fractions, and serves as a customizable template for teachers to create fraction lessons or for students to explore fraction-geometry relationships interactively.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 2]) → B
  2. Segment(A, B) → a
  3. Mirror(B, A) → B'
  4. CircleSector(A, B, B') → c
  5. Point(Circle[C, 2]) → D
  6. Segment(C, D) → b
  7. Rotate(D, 90°, C) → D'
  8. CircleSector(C, D, D') → d
  9. Point(Circle[E, 2]) → F
  10. Segment(E, F) → e
  11. Rotate(F, 60°, E) → F'
  12. Point(Circle[G, 2]) → H
  13. Segment(G, H) → f
  14. Rotate(H, 45°, G) → H'
  15. CircleSector(E, F, F') → g
  16. CircleSector(G, H, H') → h
  17. Point(Circle[I, 2]) → J
  18. Segment(I, J) → i
  19. Rotate(J, 72°, I) → J'
  20. CircleSector(I, J, J') → k
  21. Point(Circle[K, 2]) → L
  22. Segment(K, L) → j
  23. Rotate(L, 120°, K) → L'
  24. CircleSector(K, L, L') → p
  25. Midpoint(D, C) → N
  26. Rotate(N, 45°, C) → N'
  27. CircleSector(C, D, D') → q
  28. Point(Circle[C_2, 2]) → D_2
  29. Segment(C_2, D_2) → b_2
  30. Rotate(D_2, 90°, C_2) → D'_2
  31. CircleSector(C_2, D_2, D'_2) → d_2
  32. Midpoint(D_2, C_2) → N_1
  33. Rotate(N_1, 45°, C_2) → N'_1
  34. CircleSector(C_2, D_2, D'_2) → q_2
  35. Point(Circle[C_1, 2]) → D_1
  36. Segment(C_1, D_1) → b_1
  37. Rotate(D_1, 90°, C_1) → D'_1
  38. CircleSector(C_1, D_1, D'_1) → d_1
  39. Midpoint(D_1, C_1) → N_2
  40. Rotate(N_2, 45°, C_1) → N'_2
  41. CircleSector(C_1, D_1, D'_1) → q_1
  42. Point(Circle[C_3, 2]) → D_3
  43. Segment(C_3, D_3) → b_3
  44. Rotate(D_3, 90°, C_3) → D'_3
  45. CircleSector(C_3, D_3, D'_3) → d_3
  46. Midpoint(D_3, C_3) → N_3
  47. Rotate(N_3, 45°, C_3) → N'_3
  48. CircleSector(C_3, D_3, D'_3) → q_3
  49. Point(Circle[C_4, 2]) → D_4
  50. Segment(C_4, D_4) → b_4
  51. Rotate(D_4, 90°, C_4) → D'_4
  52. CircleSector(C_4, D_4, D'_4) → d_4
  53. Midpoint(D_4, C_4) → N_4
  54. Rotate(N_4, 45°, C_4) → N'_4
  55. CircleSector(C_4, D_4, D'_4) → q_4
  56. Point(Circle[C_5, 2]) → D_5
  57. Segment(C_5, D_5) → b_5
  58. Rotate(D_5, 90°, C_5) → D'_5
  59. CircleSector(C_5, D_5, D'_5) → d_5
  60. Midpoint(D_5, C_5) → N_5
  61. Rotate(N_5, 45°, C_5) → N'_5
  62. CircleSector(C_5, D_5, D'_5) → q_5
  63. Point(Circle[C_6, 2]) → D_6
  64. Segment(C_6, D_6) → b_6
  65. Rotate(D_6, 90°, C_6) → D'_6
  66. CircleSector(C_6, D_6, D'_6) → d_6
  67. Midpoint(D_6, C_6) → N_6
  68. Rotate(N_6, 45°, C_6) → N'_6
  69. CircleSector(C_6, D_6, D'_6) → q_6
  70. Point(Circle[C_7, 2]) → D_7
  71. Segment(C_7, D_7) → b_7
  72. Rotate(D_7, 90°, C_7) → D'_7
  73. CircleSector(C_7, D_7, D'_7) → d_7
  74. Midpoint(D_7, C_7) → N_7
  75. Rotate(N_7, 45°, C_7) → N'_7
  76. CircleSector(C_7, D_7, D'_7) → q_7
  77. Midpoint(A, B) → M
  78. Rotate(M, 90°, A) → M'
  79. CircleSector(A, B, B') → r
  80. Point(Circle[A_3, 2]) → B_3
  81. Segment(A_3, B_3) → a_3
  82. Mirror(B_3, A_3) → B'_3
  83. CircleSector(A_3, B_3, B'_3) → c_3
  84. Midpoint(A_3, B_3) → M_3
  85. Rotate(M_3, 90°, A_3) → M'_3
  86. CircleSector(A_3, B_3, B'_3) → r_3
  87. Point(Circle[O, 2]) → P
  88. Segment(O, P) → l
  89. Rotate(P, 51.42857142857143°, O) → P'
  90. CircleSector(O, P, P') → s
  91. Midpoint(O, P) → Q
  92. Midpoint(Q, P) → R
  93. CircleSector(O, P, P') → t
  94. Midpoint(G, H) → S
  95. Rotate(S, 22.5°, G) → S'
  96. CircleSector(G, H, H') → e_1
  97. Point(Circle[G_1, 2]) → H_1
  98. Segment(G_1, H_1) → f_1
  99. Rotate(H_1, 45°, G_1) → H'_1
  100. CircleSector(G_1, H_1, H'_1) → h_1
  101. Midpoint(G_1, H_1) → S_1
  102. Rotate(S_1, 22.5°, G_1) → S'_1
  103. CircleSector(G_1, H_1, H'_1) → e_2
  104. Point(Circle[G_2, 2]) → H_2
  105. Segment(G_2, H_2) → f_2
  106. Rotate(H_2, 45°, G_2) → H'_2
  107. CircleSector(G_2, H_2, H'_2) → h_2
  108. Midpoint(G_2, H_2) → S_2
  109. Rotate(S_2, 22.5°, G_2) → S'_2
  110. CircleSector(G_2, H_2, H'_2) → e_3
  111. Point(Circle[G_3, 2]) → H_3
  112. Segment(G_3, H_3) → f_3
  113. Rotate(H_3, 45°, G_3) → H'_3
  114. CircleSector(G_3, H_3, H'_3) → h_3
  115. Midpoint(G_3, H_3) → S_3
  116. Rotate(S_3, 22.5°, G_3) → S'_3
  117. CircleSector(G_3, H_3, H'_3) → e_4
  118. Point(Circle[G_4, 2]) → H_4
  119. Segment(G_4, H_4) → f_4
  120. Rotate(H_4, 45°, G_4) → H'_4
  121. CircleSector(G_4, H_4, H'_4) → h_4
  122. Midpoint(G_4, H_4) → S_4
  123. Rotate(S_4, 22.5°, G_4) → S'_4
  124. CircleSector(G_4, H_4, H'_4) → e_5
  125. Point(Circle[G_5, 2]) → H_5
  126. Segment(G_5, H_5) → f_5
  127. Rotate(H_5, 45°, G_5) → H'_5
  128. CircleSector(G_5, H_5, H'_5) → h_5
  129. Midpoint(G_5, H_5) → S_5
  130. Rotate(S_5, 22.5°, G_5) → S'_5
  131. CircleSector(G_5, H_5, H'_5) → e_6
  132. Point(Circle[G_6, 2]) → H_6
  133. Segment(G_6, H_6) → f_6
  134. Rotate(H_6, 45°, G_6) → H'_6
  135. CircleSector(G_6, H_6, H'_6) → h_6
  136. Midpoint(G_6, H_6) → S_6
  137. Rotate(S_6, 22.5°, G_6) → S'_6
  138. CircleSector(G_6, H_6, H'_6) → e_7
  139. Point(Circle[G_7, 2]) → H_7
  140. Segment(G_7, H_7) → f_7
  141. Rotate(H_7, 45°, G_7) → H'_7
  142. CircleSector(G_7, H_7, H'_7) → h_7
  143. Midpoint(G_7, H_7) → S_7
  144. Rotate(S_7, 22.5°, G_7) → S'_7
  145. CircleSector(G_7, H_7, H'_7) → e_8
  146. Midpoint(E, F) → U
  147. Rotate(U, 30°, E) → U'
  148. CircleSector(E, F, F') → g_1
  149. Point(Circle[E_1, 2]) → F_1
  150. Segment(E_1, F_1) → e_9
  151. Rotate(F_1, 60°, E_1) → F'_1
  152. CircleSector(E_1, F_1, F'_1) → g_2
  153. Midpoint(E_1, F_1) → U_1
  154. Rotate(U_1, 30°, E_1) → U'_1
  155. CircleSector(E_1, F_1, F'_1) → g_3
  156. Point(Circle[E_2, 2]) → F_2
  157. Segment(E_2, F_2) → e_{10}
  158. Rotate(F_2, 60°, E_2) → F'_2
  159. CircleSector(E_2, F_2, F'_2) → g_4
  160. Midpoint(E_2, F_2) → U_2
  161. Rotate(U_2, 30°, E_2) → U'_2
  162. CircleSector(E_2, F_2, F'_2) → g_5
  163. Point(Circle[E_3, 2]) → F_3
  164. Segment(E_3, F_3) → e_{11}
  165. Rotate(F_3, 60°, E_3) → F'_3
  166. CircleSector(E_3, F_3, F'_3) → g_6
  167. Midpoint(E_3, F_3) → U_3
  168. Rotate(U_3, 30°, E_3) → U'_3
  169. CircleSector(E_3, F_3, F'_3) → g_7
  170. Point(Circle[E_4, 2]) → F_4
  171. Segment(E_4, F_4) → e_{12}
  172. Rotate(F_4, 60°, E_4) → F'_4
  173. CircleSector(E_4, F_4, F'_4) → g_8
  174. Midpoint(E_4, F_4) → U_4
  175. Rotate(U_4, 30°, E_4) → U'_4
  176. CircleSector(E_4, F_4, F'_4) → g_9
  177. Point(Circle[E_5, 2]) → F_5
  178. Segment(E_5, F_5) → e_{13}
  179. Rotate(F_5, 60°, E_5) → F'_5
  180. CircleSector(E_5, F_5, F'_5) → g_{10}
  181. Midpoint(E_5, F_5) → U_5
  182. Rotate(U_5, 30°, E_5) → U'_5
  183. CircleSector(E_5, F_5, F'_5) → g_{11}
  184. Midpoint(K, L) → T
  185. Rotate(T, 60°, K) → T'
  186. CircleSector(K, L, L') → k_1
  187. Point(Circle[K_1, 2]) → L_1
  188. Segment(K_1, L_1) → j_1
  189. Rotate(L_1, 120°, K_1) → L'_1
  190. CircleSector(K_1, L_1, L'_1) → p_1
  191. Midpoint(K_1, L_1) → T_1
  192. Rotate(T_1, 60°, K_1) → T'_1
  193. CircleSector(K_1, L_1, L'_1) → k_2
  194. Point(Circle[K_2, 2]) → L_2
  195. Segment(K_2, L_2) → j_2
  196. Rotate(L_2, 120°, K_2) → L'_2
  197. CircleSector(K_2, L_2, L'_2) → p_2
  198. Midpoint(K_2, L_2) → T_2
  199. Rotate(T_2, 60°, K_2) → T'_2
  200. CircleSector(K_2, L_2, L'_2) → k_3
  201. Point(Circle[K_3, 2]) → L_3
  202. Segment(K_3, L_3) → j_3
  203. Rotate(L_3, 120°, K_3) → L'_3
  204. CircleSector(K_3, L_3, L'_3) → p_3
  205. Midpoint(K_3, L_3) → T_3
  206. Rotate(T_3, 60°, K_3) → T'_3
  207. CircleSector(K_3, L_3, L'_3) → k_4
  208. Point(Circle[K_4, 2]) → L_4
  209. Segment(K_4, L_4) → j_4
  210. Rotate(L_4, 120°, K_4) → L'_4
  211. CircleSector(K_4, L_4, L'_4) → p_4
  212. Midpoint(K_4, L_4) → T_4
  213. Rotate(T_4, 60°, K_4) → T'_4
  214. CircleSector(K_4, L_4, L'_4) → k_5
  215. Midpoint(I, J) → V
  216. Rotate(V, 36°, I) → V'
  217. CircleSector(I, J, J') → s_1
  218. Point(Circle[I_1, 2]) → J_1
  219. Segment(I_1, J_1) → i_1
  220. Rotate(J_1, 72°, I_1) → J'_1
  221. CircleSector(I_1, J_1, J'_1) → k_6
  222. Midpoint(I_1, J_1) → V_1
  223. Rotate(V_1, 36°, I_1) → V'_1
  224. CircleSector(I_1, J_1, J'_1) → s_2
  225. Point(Circle[I_2, 2]) → J_2
  226. Segment(I_2, J_2) → i_2
  227. Rotate(J_2, 72°, I_2) → J'_2
  228. CircleSector(I_2, J_2, J'_2) → k_7
  229. Midpoint(I_2, J_2) → V_2
  230. Rotate(V_2, 36°, I_2) → V'_2
  231. CircleSector(I_2, J_2, J'_2) → s_3
  232. Point(Circle[I_3, 2]) → J_3
  233. Segment(I_3, J_3) → i_3
  234. Rotate(J_3, 72°, I_3) → J'_3
  235. CircleSector(I_3, J_3, J'_3) → k_8
  236. Midpoint(I_3, J_3) → V_3
  237. Rotate(V_3, 36°, I_3) → V'_3
  238. CircleSector(I_3, J_3, J'_3) → s_4
  239. Point(Circle[I_4, 2]) → J_4
  240. Segment(I_4, J_4) → i_4
  241. Rotate(J_4, 72°, I_4) → J'_4
  242. CircleSector(I_4, J_4, J'_4) → k_9
  243. Midpoint(I_4, J_4) → V_4
  244. Rotate(V_4, 36°, I_4) → V'_4
  245. CircleSector(I_4, J_4, J'_4) → s_5
  246. Point(Circle[I_5, 2]) → J_5
  247. Segment(I_5, J_5) → i_5
  248. Rotate(J_5, 72°, I_5) → J'_5
  249. CircleSector(I_5, J_5, J'_5) → k_{10}
  250. Midpoint(I_5, J_5) → V_5
  251. Rotate(V_5, 36°, I_5) → V'_5
  252. CircleSector(I_5, J_5, J'_5) → s_6
  253. Point(Circle[I_6, 2]) → J_6
  254. Segment(I_6, J_6) → i_6
  255. Rotate(J_6, 72°, I_6) → J'_6
  256. CircleSector(I_6, J_6, J'_6) → k_{11}
  257. Midpoint(I_6, J_6) → V_6
  258. Rotate(V_6, 36°, I_6) → V'_6
  259. CircleSector(I_6, J_6, J'_6) → s_7
  260. Rotate(R, 25.714285714285715°, O) → R'
  261. Point(Circle[O_1, 2]) → P_1
  262. Segment(O_1, P_1) → l_1
  263. Rotate(P_1, 51.42857142857143°, O_1) → P'_1
  264. CircleSector(O_1, P_1, P'_1) → s_8
  265. Midpoint(O_1, P_1) → Q_1
  266. Midpoint(Q_1, P_1) → R_1
  267. CircleSector(O_1, P_1, P'_1) → t_1
  268. Rotate(R_1, 25.714285714285715°, O_1) → R'_1
  269. Point(Circle[O_{14}, 2]) → P_2
  270. Segment(O_{14}, P_2) → l_2
  271. Rotate(P_2, 51.42857142857143°, O_{14}) → P'_2
  272. CircleSector(O_{14}, P_2, P'_2) → s_9
  273. Midpoint(O_{14}, P_2) → Q_2
  274. Midpoint(Q_2, P_2) → R_2
  275. CircleSector(O_{14}, P_2, P'_2) → t_2
  276. Rotate(R_2, 25.714285714285715°, O_{14}) → R'_2
  277. Point(Circle[O_{21}, 2]) → P_3
  278. Segment(O_{21}, P_3) → l_3
  279. Rotate(P_3, 51.42857142857143°, O_{21}) → P'_3
  280. CircleSector(O_{21}, P_3, P'_3) → s_{10}
  281. Midpoint(O_{21}, P_3) → Q_3
  282. Midpoint(Q_3, P_3) → R_3
  283. CircleSector(O_{21}, P_3, P'_3) → t_3
  284. Rotate(R_3, 25.714285714285715°, O_{21}) → R'_3
  285. Point(Circle[O_{28}, 2]) → P_4
  286. Segment(O_{28}, P_4) → l_4
  287. Rotate(P_4, 51.42857142857143°, O_{28}) → P'_4
  288. CircleSector(O_{28}, P_4, P'_4) → s_{11}
  289. Midpoint(O_{28}, P_4) → Q_4
  290. Midpoint(Q_4, P_4) → R_4
  291. CircleSector(O_{28}, P_4, P'_4) → t_4
  292. Rotate(R_4, 25.714285714285715°, O_{28}) → R'_4
  293. Point(Circle[O_{35}, 2]) → P_5
  294. Segment(O_{35}, P_5) → l_5
  295. Rotate(P_5, 51.42857142857143°, O_{35}) → P'_5
  296. CircleSector(O_{35}, P_5, P'_5) → s_{12}
  297. Midpoint(O_{35}, P_5) → Q_5
  298. Midpoint(Q_5, P_5) → R_5
  299. CircleSector(O_{35}, P_5, P'_5) → t_5
  300. Rotate(R_5, 25.714285714285715°, O_{35}) → R'_5
  301. Point(Circle[O_{42}, 2]) → P_6
  302. Segment(O_{42}, P_6) → l_6
  303. Rotate(P_6, 51.42857142857143°, O_{42}) → P'_6
  304. CircleSector(O_{42}, P_6, P'_6) → s_{13}
  305. Midpoint(O_{42}, P_6) → Q_6
  306. Midpoint(Q_6, P_6) → R_6
  307. CircleSector(O_{42}, P_6, P'_6) → t_6
  308. Rotate(R_6, 25.714285714285715°, O_{42}) → R'_6
  309. Point(Circle[O_{49}, 2]) → P_7
  310. Segment(O_{49}, P_7) → l_7
  311. Rotate(P_7, 51.42857142857143°, O_{49}) → P'_7
  312. CircleSector(O_{49}, P_7, P'_7) → s_{14}
  313. Midpoint(O_{49}, P_7) → Q_7
  314. Midpoint(Q_7, P_7) → R_7
  315. CircleSector(O_{49}, P_7, P'_7) → t_7
  316. Rotate(R_7, 25.714285714285715°, O_{49}) → R'_7
  317. Point(Circle[O_{56}, 2]) → P_8
  318. Segment(O_{56}, P_8) → l_8
  319. Rotate(P_8, 51.42857142857143°, O_{56}) → P'_8
  320. CircleSector(O_{56}, P_8, P'_8) → s_{15}
  321. Midpoint(O_{56}, P_8) → Q_8
  322. Midpoint(Q_8, P_8) → R_8
  323. CircleSector(O_{56}, P_8, P'_8) → t_8
  324. Rotate(R_8, 25.714285714285715°, O_{56}) → R'_8
  325. Point(Circle[O_{63}, 2]) → P_9
  326. Segment(O_{63}, P_9) → l_9
  327. Rotate(P_9, 51.42857142857143°, O_{63}) → P'_9
  328. CircleSector(O_{63}, P_9, P'_9) → s_{16}
  329. Midpoint(O_{63}, P_9) → Q_9
  330. Midpoint(Q_9, P_9) → R_9
  331. CircleSector(O_{63}, P_9, P'_9) → t_9
  332. Rotate(R_9, 25.714285714285715°, O_{63}) → R'_9
  333. Point(Circle[W, 2]) → Z
  334. Rotate(Z, 40°, W) → Z'
  335. Midpoint(W, Z) → W_1
  336. Midpoint(W_1, Z) → W_2
  337. Rotate(W_2, 20°, W) → Z_1
  338. CircleSector(W, Z, Z') → c_5
  339. CircleSector(W, Z, Z') → p_5
  340. Point(Circle[W_3, 2]) → Z_2
  341. Rotate(Z_2, 40°, W_3) → Z'_1
  342. Midpoint(W_3, Z_2) → W_4
  343. Midpoint(W_4, Z_2) → W_5
  344. Rotate(W_5, 20°, W_3) → Z_3
  345. CircleSector(W_3, Z_2, Z'_1) → c_6
  346. CircleSector(W_3, Z_2, Z'_1) → p_6
  347. Point(Circle[W_6, 2]) → Z_4
  348. Rotate(Z_4, 40°, W_6) → Z'_2
  349. Midpoint(W_6, Z_4) → W_7
  350. Midpoint(W_7, Z_4) → W_8
  351. Rotate(W_8, 20°, W_6) → Z_5
  352. CircleSector(W_6, Z_4, Z'_2) → c_7
  353. CircleSector(W_6, Z_4, Z'_2) → p_7
  354. Point(Circle[W_9, 2]) → Z_6
  355. Rotate(Z_6, 40°, W_9) → Z'_3
  356. Midpoint(W_9, Z_6) → W_{10}
  357. Midpoint(W_{10}, Z_6) → W_{11}
  358. Rotate(W_{11}, 20°, W_9) → Z_7
  359. CircleSector(W_9, Z_6, Z'_3) → c_8
  360. CircleSector(W_9, Z_6, Z'_3) → p_8
  361. Point(Circle[W_{12}, 2]) → Z_8
  362. Rotate(Z_8, 40°, W_{12}) → Z'_4
  363. Midpoint(W_{12}, Z_8) → W_{13}
  364. Midpoint(W_{13}, Z_8) → W_{14}
  365. Rotate(W_{14}, 20°, W_{12}) → Z_9
  366. CircleSector(W_{12}, Z_8, Z'_4) → c_9
  367. CircleSector(W_{12}, Z_8, Z'_4) → p_9
  368. Point(Circle[W_{15}, 2]) → Z_{10}
  369. Rotate(Z_{10}, 40°, W_{15}) → Z'_5
  370. Midpoint(W_{15}, Z_{10}) → W_{16}
  371. Midpoint(W_{16}, Z_{10}) → W_{17}
  372. Rotate(W_{17}, 20°, W_{15}) → Z_{11}
  373. CircleSector(W_{15}, Z_{10}, Z'_5) → c_{10}
  374. CircleSector(W_{15}, Z_{10}, Z'_5) → p_{10}
  375. Point(Circle[W_{18}, 2]) → Z_{12}
  376. Rotate(Z_{12}, 40°, W_{18}) → Z'_6
  377. Midpoint(W_{18}, Z_{12}) → W_{19}
  378. Midpoint(W_{19}, Z_{12}) → W_{20}
  379. Rotate(W_{20}, 20°, W_{18}) → Z_{13}
  380. CircleSector(W_{18}, Z_{12}, Z'_6) → c_{11}
  381. CircleSector(W_{18}, Z_{12}, Z'_6) → p_{11}
  382. Point(Circle[W_{21}, 2]) → Z_{14}
  383. Rotate(Z_{14}, 40°, W_{21}) → Z'_7
  384. Midpoint(W_{21}, Z_{14}) → W_{22}
  385. Midpoint(W_{22}, Z_{14}) → W_{23}
  386. Rotate(W_{23}, 20°, W_{21}) → Z_{15}
  387. CircleSector(W_{21}, Z_{14}, Z'_7) → c_{12}
  388. CircleSector(W_{21}, Z_{14}, Z'_7) → p_{12}
  389. Point(Circle[W_{24}, 2]) → Z_{16}
  390. Rotate(Z_{16}, 40°, W_{24}) → Z'_8
  391. Midpoint(W_{24}, Z_{16}) → W_{25}
  392. Midpoint(W_{25}, Z_{16}) → W_{26}
  393. Rotate(W_{26}, 20°, W_{24}) → Z_{17}
  394. CircleSector(W_{24}, Z_{16}, Z'_8) → c_{13}
  395. CircleSector(W_{24}, Z_{16}, Z'_8) → p_{13}
  396. Point(Circle[W_{27}, 2]) → Z_{18}
  397. Rotate(Z_{18}, 40°, W_{27}) → Z'_9
  398. Midpoint(W_{27}, Z_{18}) → W_{28}
  399. Midpoint(W_{28}, Z_{18}) → W_{29}
  400. Rotate(W_{29}, 20°, W_{27}) → Z_{19}
  401. CircleSector(W_{27}, Z_{18}, Z'_9) → c_{14}
  402. CircleSector(W_{27}, Z_{18}, Z'_9) → p_{14}
  403. Point(Circle[A_5, 2]) → B_5
  404. Rotate(B_5, 36°, A_5) → K_5
  405. Midpoint(A_5, B_5) → L_5
  406. Midpoint(L_5, B_5) → M_5
  407. Rotate(M_5, 18°, A_5) → T_5
  408. CircleSector(A_5, B_5, K_5) → r_5
  409. CircleSector(A_5, B_5, K_5) → r_6
  410. Point(Circle[A_6, 2]) → B_6
  411. Rotate(B_6, 36°, A_6) → K_6
  412. Midpoint(A_6, B_6) → L_6
  413. Midpoint(L_6, B_6) → M_6
  414. Rotate(M_6, 18°, A_6) → T_6
  415. CircleSector(A_6, B_6, K_6) → r_7
  416. CircleSector(A_6, B_6, K_6) → r_8
  417. Point(Circle[A_7, 2]) → B_7
  418. Rotate(B_7, 36°, A_7) → K_7
  419. Midpoint(A_7, B_7) → L_7
  420. Midpoint(L_7, B_7) → M_7
  421. Rotate(M_7, 18°, A_7) → T_7
  422. CircleSector(A_7, B_7, K_7) → r_9
  423. CircleSector(A_7, B_7, K_7) → r_{10}
  424. Point(Circle[A_8, 2]) → B_8
  425. Rotate(B_8, 36°, A_8) → K_8
  426. Midpoint(A_8, B_8) → L_8
  427. Midpoint(L_8, B_8) → M_8
  428. Rotate(M_8, 18°, A_8) → T_8
  429. CircleSector(A_8, B_8, K_8) → r_{11}
  430. CircleSector(A_8, B_8, K_8) → r_{12}
  431. Point(Circle[A_9, 2]) → B_9
  432. Rotate(B_9, 36°, A_9) → K_9
  433. Midpoint(A_9, B_9) → L_9
  434. Midpoint(L_9, B_9) → M_9
  435. Rotate(M_9, 18°, A_9) → T_9
  436. CircleSector(A_9, B_9, K_9) → r_{13}
  437. CircleSector(A_9, B_9, K_9) → r_{14}
  438. Point(Circle[A_{10}, 2]) → B_{10}
  439. Rotate(B_{10}, 36°, A_{10}) → K_{10}
  440. Midpoint(A_{10}, B_{10}) → L_{10}
  441. Midpoint(L_{10}, B_{10}) → M_{10}
  442. Rotate(M_{10}, 18°, A_{10}) → T_{10}
  443. CircleSector(A_{10}, B_{10}, K_{10}) → r_{15}
  444. CircleSector(A_{10}, B_{10}, K_{10}) → r_{16}
  445. Point(Circle[A_{11}, 2]) → B_{11}
  446. Rotate(B_{11}, 36°, A_{11}) → K_{11}
  447. Midpoint(A_{11}, B_{11}) → L_{11}
  448. Midpoint(L_{11}, B_{11}) → M_{11}
  449. Rotate(M_{11}, 18°, A_{11}) → T_{11}
  450. CircleSector(A_{11}, B_{11}, K_{11}) → r_{17}
  451. CircleSector(A_{11}, B_{11}, K_{11}) → r_{18}
  452. Point(Circle[A_{12}, 2]) → B_{12}
  453. Rotate(B_{12}, 36°, A_{12}) → K_{12}
  454. Midpoint(A_{12}, B_{12}) → L_{12}
  455. Midpoint(L_{12}, B_{12}) → M_{12}
  456. Rotate(M_{12}, 18°, A_{12}) → T_{12}
  457. CircleSector(A_{12}, B_{12}, K_{12}) → r_{19}
  458. CircleSector(A_{12}, B_{12}, K_{12}) → r_{20}
  459. Point(Circle[A_{13}, 2]) → B_{13}
  460. Rotate(B_{13}, 36°, A_{13}) → K_{13}
  461. Midpoint(A_{13}, B_{13}) → L_{13}
  462. Midpoint(L_{13}, B_{13}) → M_{13}
  463. Rotate(M_{13}, 18°, A_{13}) → T_{13}
  464. CircleSector(A_{13}, B_{13}, K_{13}) → r_{21}
  465. CircleSector(A_{13}, B_{13}, K_{13}) → r_{22}
  466. Point(Circle[A_{14}, 2]) → B_{14}
  467. Rotate(B_{14}, 36°, A_{14}) → K_{14}
  468. Midpoint(A_{14}, B_{14}) → L_{14}
  469. Midpoint(L_{14}, B_{14}) → M_{14}
  470. Rotate(M_{14}, 18°, A_{14}) → T_{14}
  471. CircleSector(A_{14}, B_{14}, K_{14}) → r_{23}
  472. CircleSector(A_{14}, B_{14}, K_{14}) → r_{24}
  473. Point(Circle[A_{15}, 2]) → B_{15}
  474. Rotate(B_{15}, 36°, A_{15}) → K_{15}
  475. Midpoint(A_{15}, B_{15}) → L_{15}
  476. Midpoint(L_{15}, B_{15}) → M_{15}
  477. Rotate(M_{15}, 18°, A_{15}) → T_{15}
  478. CircleSector(A_{15}, B_{15}, K_{15}) → r_{25}
  479. CircleSector(A_{15}, B_{15}, K_{15}) → r_{26}
  480. Line(E_6, F_6) → m
  481. Point(Circle[A_1, 2]) → B_1
  482. Segment(A_1, B_1) → a_1
  483. Mirror(B_1, A_1) → B'_1
  484. CircleSector(A_1, B_1, B'_1) → c_1
  485. Midpoint(A_1, B_1) → M_1
  486. Rotate(M_1, 90°, A_1) → M'_1
  487. CircleSector(A_1, B_1, B'_1) → r_1
  488. Point(Circle[A_2, 2]) → B_2
  489. Segment(A_2, B_2) → a_2
  490. Mirror(B_2, A_2) → B'_2
  491. CircleSector(A_2, B_2, B'_2) → c_2
  492. Midpoint(A_2, B_2) → M_2
  493. Rotate(M_2, 90°, A_2) → M'_2
  494. CircleSector(A_2, B_2, B'_2) → r_2
  495. Point(Circle[A_4, 2]) → B_4
  496. Segment(A_4, B_4) → a_4
  497. Mirror(B_4, A_4) → B'_4
  498. CircleSector(A_4, B_4, B'_4) → c_4
  499. Midpoint(A_4, B_4) → M_4
  500. Rotate(M_4, 90°, A_4) → M'_4
  501. CircleSector(A_4, B_4, B'_4) → r_4
  502. Circle(U_6, 2) → d_8
  503. Circle(U_7, 2) → d_9
  504. Circle(U_8, 2) → d_{10}
  505. Circle(U_9, 2) → d_{11}
  506. Circle(U_{10}, 2) → d_{12}
  507. Circle(U_{13}, 2) → d_{13}
  508. Circle(U_{12}, 2) → d_{14}
  509. Circle(U_{11}, 2) → d_{15}
  510. Circle(U_{14}, 2) → d_{16}
  511. Circle(U_{17}, 2) → d_{17}
  512. Circle(U_{16}, 2) → d_{18}
  513. Circle(U_{15}, 2) → d_{19}
  514. Circle(U_{18}, 2) → d_{20}
  515. Circle(U_{21}, 2) → d_{21}
  516. Circle(U_{20}, 2) → d_{22}
  517. Circle(U_{19}, 2) → d_{23}

AI Drawing Prompt Reference

Draw a circle and then draw multiple sectors on it, each representing a fraction. Start by taking a point A on the circle and drawing a circle with radius 2 centered at A. Then take a point B on the circle, draw a segment AB, and mirror B to get B'. Next, draw three sectors with A, B, and B' as the centers. Repeat this process for points C, D, and E on the circle. Finally, take point D and draw a circle with radius 2 centered at D, and repeat the process to draw sectors.
The prompt above was compiled from the original drawing commands and is for reference only.