立方体内四个正六边形构成截角立方体（立方八面体）

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Circle(A, B) → c
4. Point(c, 1 - a) → C
5. Rotate(C, 90°, A) → C'
6. Angle(C, A, C') → α
7. Mirror(C, A) → C'_1
8. Cube(C, C', C'_1) → b, D, face3, faceEFGH, edgeCD, edgeCC', edge1, edge2, edgeCE, edgeDH, edgeEH, edgeEF, E, edgeC'F, edgeFG, edge3, edgeGH, F, G, H, face1, faceCDHE, faceCC'FE, face2
9. Midpoint(edgeFG) → I
10. Midpoint(edgeEF) → J
11. Midpoint(edgeEH) → K
12. Midpoint(edgeGH) → L
13. Midpoint(edgeDH) → M
14. Midpoint(edge2) → N
15. Midpoint(edge1) → O
16. Midpoint(edgeC'F) → P
17. Midpoint(edge3) → Q
18. Midpoint(edgeCD) → R
19. Midpoint(edgeCE) → S
20. Midpoint(edgeCC') → T
21. Polygon(I, J, S, R, N, Q) → poly1, i, j, s, r, n, q
22. Polygon(L, K, S, T, O, Q) → poly2, l, k, s_1, t, o, q_1
23. Polygon(K, J, P, O, N, M) → poly3, k_1, j_1, p, o_1, n_1, m
24. Polygon(I, L, M, R, T, P) → poly4, i_1, l_1, m_1, r_1, t_1, p_1
25. Polygon(P, I, Q, O) → q1, p_2, i_2, q_2, o_2
26. Polygon(I, J, K, L) → q2, i_3, j_2, k_2, l_2
27. Polygon(Q, L, M, N) → q3, q_3, l_3, m_2, n_2
28. Polygon(S, J, P, T) → q4, s_2, j_3, p_3, t_2
29. Polygon(R, M, K, S) → q5, r_2, m_3, k_3, s_3
30. Polygon(Q, I, L) → t1, l_4, q_4, i_4
31. Polygon(P, J, I) → t2, i_5, p_4, j_4
32. Polygon(S, K, J) → t3, j_5, s_4, k_4
33. Polygon(M, L, K) → t4, k_5, m_4, l_5
34. Polygon(N, M, R) → t5, r_3, n_3, m_5
35. Polygon(O, Q, N) → t6, n_4, o_3, q_5
36. Polygon(R, S, T) → t7, t_3, r_4, s_5
37. Polygon(T, P, O) → t8, o_4, t_4, p_5
38. Polygon(O, N, R, T) → q6, o_5, n_5, r_5, t_5