铰链分解：十二面体分解为两个立方体

GeoGebra 命令及参数

1. Intersect(yAxis, xAxis) → A
2. Point(xAxis) → B
3. Point(Circle[((A * (1 - sqrt(5))) + (B * (3 + sqrt(5)))) / 4, (Distance[A, B] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[A, B]]) → C
4. Dodecahedron(A, B, C) → a, D, M, N, O, P, Q, R, S, T, faceABCDE, faceAEIOJ, E, faceABFKJ, faceBCGLF, faceCDHMG, faceDEINH, faceINSTO, faceJKPTO, faceFKPQL, faceGLQRM, faceHMRSN, facePQRST, F, edgeAE_1, edgeAB_1, edgeBC_1, edgeCD_1, edgeDE_1, edgeAJ_1, edgeEI_1, edgeIO_1, edgeJO_1, edgeJK_1, G, edgeFK_1, edgeBF_1, edgeFL_1, edgeGL_1, edgeCG_1, edgeGM_1, edgeHM_1, edgeDH_1, edgeHN_1, edgeIN_1, H, edgeNS_1, edgeST_1, edgeOT_1, edgePT_1, edgeKP_1, edgePQ_1, edgeLQ, edgeQR_1, edgeMR_1, edgeRS_1, I, J, K, L
5. Prism(I, J, B, D, S) → b, U, edgeIJ_1, edgeBJ_1, edgeBD_1, edgeDI_1, edgeIS_1, edgeJU, edgeBV, edgeDW, edgeSU, edgeUV, V, edgeVW, edgeSW, W, faceBDIJ_1, faceIJUS, faceBJUV, faceBDWV, faceDISW, faceSUVW
6. Pyramid(P, S, M, V, R) → c, faceMSPV, edgePR_1, edgeRS, edgeMR, edgeRV_1, facePRS, faceMRS, faceMRV, facePRV_1, edgePS_1, edgeMS_1, edgeMV, edgePV_1
7. Pyramid(P, V, Q, R) → d, facePQV, edgeQR, facePRV, faceQRV, facePQR, edgePV, edgeQV, edgePQ, edgePR, edgeRV
8. Rotate(c, (n * π), Segment[L, M]) → c'
9. Rotate(d, (n * π), Segment[L, M]) → d'
10. Rotate(P, (n * π), Segment[L, M]) → P'
11. Rotate(S, (n * π), Segment[L, M]) → S'
12. Pyramid(J, I, S, P, O) → e, faceIJPS, edgeJO, edgeIO, edgeOS_1, edgeOP_1, faceIJO, faceIOS, faceOPS_1, faceJOP, edgeIJ_2, edgeIS_2, edgePS_2, edgeJP_1
13. Pyramid(P, S, T, O) → f, facePST, edgeOT, faceOPS, faceOST, faceOPT, edgePS, edgeST, edgePT, edgeOP, edgeOS
14. Rotate(e, (n * π), Segment[L, M]) → e'
15. Rotate(f, (n * π), Segment[L, M]) → f'
16. Rotate(f', (n * π), Segment[P', S']) → f''
17. Rotate(e', (n * π), Segment[P', S']) → e''
18. Pyramid(B, L, M, D, C) → g, faceBDML, edgeBC, edgeCL_1, edgeCM_1, edgeCD, faceBCL, faceCLM_1, faceCDM, faceBCD, edgeBL_1, edgeLM_1, edgeDM_1, edgeBD_2
19. Pyramid(L, M, G, C) → h, faceGLM, edgeCG, faceCLM, faceCGM, faceCGL, edgeLM, edgeGM, edgeGL, edgeCL, edgeCM
20. Pyramid(J, P, L, B, K) → i, faceBJPL, edgeJK, edgeKP, edgeKL_1, edgeBK_1, faceJKP, faceKLP, faceBKL_1, faceBJK, edgeJP, edgeLP, edgeBL_2, edgeBJ_2
21. Pyramid(B, L, F, K) → j, faceBFL, edgeFK, faceBKL, faceFKL, faceBFK, edgeBL, edgeFL, edgeBF, edgeBK, edgeKL
22. Rotate(i, (n * π), Segment[B, L]) → i'
23. Rotate(j, (n * π), Segment[B, L]) → j'
24. Pyramid(M, S, I, D, H) → k, faceDISM, edgeHM, edgeHS_1, edgeHI_1, edgeDH, faceHMS, faceHIS_1, faceDHI, faceDHM, edgeMS, edgeIS_3, edgeDI_2, edgeDM
25. Pyramid(S, I, N, H) → l, faceINS, edgeHN, faceHIS, faceHIN, faceHNS, edgeIS, edgeIN, edgeNS, edgeHS, edgeHI
26. Rotate(k, (n * π), Segment[M, D]) → k'
27. Rotate(l, (n * π), Segment[M, D]) → l'
28. Pyramid(D, I, J, B, E) → m, faceBDIJ, edgeDE, edgeEI, edgeEJ_1, edgeBE_1, faceDEI, faceEIJ, faceBEJ_1, faceBDE, edgeDI, edgeIJ, edgeBJ_3, edgeBD
29. Pyramid(B, J, A, E) → o, faceABJ, edgeAE, faceBEJ, faceAEJ, faceABE, edgeBJ, edgeAJ, edgeAB, edgeBE, edgeEJ
30. Rotate(o, (n * π), Segment[D, B]) → o'
31. Rotate(m, (n * π), Segment[D, B]) → m'