Baravelle Cube

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2019-01-03 08:11

This example demonstrates the geometric construction and net of a Baravelle cube, involving core mathematical concepts like cubes, midpoints, rhombuses, logarithms, binomial distributions, and standard deviations. It utilizes various GeoGebra commands and objects such as Intersect, Point, Midpoint, Segment, Cube, Net, Distance, Polygon, Circle, Plane, Line, Angle, Rotate, and OrthogonalLine. Suitable for high school and above students studying solid geometry and geometric constructions.

GeoGebra Commands & Parameters

Intersect(xAxis, zAxis) → A
Point(xAxis) → B
Midpoint(A, B) → M_{AB}
Segment(A + (0.001, 0), M_{AB}) → q_{13}
Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, Q
Distance(A, W) → AW
Polygon(W, W_1, 4, xOyPlane) → poly1, f, g, h, i, Z, A_1
Distance(A, B) → AB
Circle(W, (r * Distance[W, W_1]), xOyPlane) → d
Intersect(f, d) → B_1, U_5
Circle(W_1, Radius[d], xOyPlane) → r_2
Intersect(g, r_2) → C_1, V_5
Polygon(B_1, C_1, 4, xOyPlane) → poly2, j, k, l, m, D_1, E_1
Circle(B_1, (r * Distance[B_1, C_1]), xOyPlane) → p
Intersect(j, p) → F_1, W_5
Circle(C_1, Radius[p], xOyPlane) → r_3
Intersect(k, r_3) → G_1, C_6
Polygon(F_1, G_1, 4, xOyPlane) → poly3, n, s, t, f_1, H_1, I_1
Circle(F_1, (r * Distance[F_1, G_1]), xOyPlane) → c_1
Intersect(n, c_1) → J_1, D_6
Circle(G_1, Radius[c_1], xOyPlane) → r_4
Intersect(s, r_4) → K_1, E_6
Polygon(J_1, K_1, 4, xOyPlane) → poly4, g_1, h_1, i_1, j_1, L_1, M_1
Polygon(W, B, W_1) → t1_b, w_1, w, b_1
Polygon(B_1, W_1, C_1) → t2_b, c_2, b_2, w_2
Polygon(F_1, C_1, G_1) → t3_b, g_2, f_2, c_3
Polygon(J_1, G_1, K_1) → t4_b, k_1, j_2, g_3
Circle(J_1, (r * Distance[J_1, K_1]), xOyPlane) → e_1
Intersect(g_1, g_3) → N_1
Intersect(g_1, g_3) → O_1
Intersect(g_1, g_3) → P_1
Intersect(g_1, g_3) → Q_1
Intersect(g_1, g_3) → R_1
Intersect(g_1, g_3) → S_1
Intersect(g_1, g_3) → T_1
Intersect(g_1, g_3) → U_1
Intersect(g_1, g_3) → V_1
Intersect(g_3, e_1) → Z_1, A_2
Circle(K_1, Radius[e_1], xOyPlane) → r_5
Intersect(h_1, r_5) → B_2, F_6
Polygon(A_2, B_2, 4, xOyPlane) → poly5, l_1, m_1, n_1, q_1, C_2, D_2
Polygon(B_2, K_1, A_2) → t5_b, a_2, b_3, k_2
Circle(B, W_1, faceJKTS) → r_1
Circle(S, Radius[r_1], faceJKTS) → s_1
Intersect(edgeJS, s_1) → E_2, F_2
Polygon(W_1, F_2, 4, faceJKTS) → poly6, t_1, a_1, h_2, i_2, G_2, H_2
Polygon(B, F_2, W_1) → t1_b', w_3, b_4, f_3
Circle(F_2, Radius[d], faceJKTS) → d_2
Circle(W_1, Radius[d_2], faceJKTS) → e_2
Intersect(i_2, e_2, 2) → I_2
Intersect(t_1, d_2, 2) → J_2
Polygon(I_2, J_2, 4, faceJKTS) → poly7, l_2, m_2, n_2, p_2, K_2, L_2
Circle(I_2, Radius[p], faceJKTS) → q_2
Circle(J_2, Radius[p], faceJKTS) → r_{13}
Intersect(p_2, q_2) → M_2, N_2
Intersect(l_2, r_{13}) → O_2, P_2
Polygon(N_2, P_2, 4, faceJKTS) → poly8, s_2, t_2, h_3, i_3, Q_2, R_2
Circle(N_2, Radius[c_1], faceJKTS) → d_3
Circle(P_2, Radius[c_1], faceJKTS) → e_3
Intersect(i_3, d_3) → S_2, T_2
Intersect(s_2, e_3) → U_2, V_2
Polygon(T_2, V_2, 4, faceJKTS) → poly9, j_3, k_3, l_3, m_3, W_2, Z_2
Circle(T_2, Radius[r_5], faceJKTS) → p_3
Circle(V_2, Radius[r_5], faceJKTS) → q_3
Intersect(j_3, q_3) → A_3, B_3
Intersect(m_3, p_3) → C_3, D_3
Polygon(D_3, B_3, 4, faceJKTS) → poly10, n_3, r_{14}, s_3, t_3, E_3, F_3
Polygon(I_2, W_1, J_2) → t2_g', j_4, i_4, w_4
Polygon(N_2, I_2, P_2) → t3_p', p_4, n_4, i_5
Polygon(T_2, N_2, V_2) → t4_y', v_2, t_4, n_5
Polygon(D_3, T_2, B_3) → t5_b', b_5, d_4, t_5
Circle(A_2, (r * Distance[A_2, B_2]), xOyPlane) → c_4
Circle(B_2, Radius[c_4], xOyPlane) → r_6
Circle(D_3, Radius[r_6], faceJKTS) → f_4
Circle(B_3, Radius[f_4], faceJKTS) → g_4
Intersect(t_3, f_4) → G_3, H_3
Intersect(n_3, t_5) → I_3
Intersect(n_3, t_5) → J_3
Intersect(n_3, t_5) → K_3
Intersect(n_3, t_5) → L_3
Intersect(n_3, t_5) → M_3
Intersect(t_5, g_4) → N_3, G_6
Polygon(H_3, N_3, 4, faceJKTS) → poly11, a_3, h_4, k_4, l_4, O_3, P_3
Intersect(l_1, k_2) → Q_3
Intersect(k_2, c_4) → R_3, H_6
Intersect(faceIJKL, poly1) → S_3, T_3, U_3, V_3, W_3, Z_5, A_6, B_6
Intersect(m_1, r_6) → Z_3, I_6
Polygon(R_3, Z_3, 4, xOyPlane) → poly12, m_4, q_4, r_{15}, s_4, A_4, B_4
Circle(R_3, (r * Distance[R_3, Z_3]), xOyPlane) → c_5
Circle(Z_3, Radius[c_5], xOyPlane) → r_7
Intersect(m_4, c_5) → C_4, J_6
Intersect(q_4, r_7) → D_4, K_6
Polygon(C_4, D_4, 4, xOyPlane) → poly13, a_4, f_5, g_5, h_5, E_4, F_4
Circle(H_3, Radius[r_7], faceJKTS) → e_5
Circle(N_3, Radius[e_5], faceJKTS) → k_5
Intersect(t_5, a_3) → G_4
Intersect(a_3, k_5) → H_4, I_4
Intersect(l_4, e_5) → J_4, K_4
Polygon(K_4, I_4, 4, faceJKTS) → poly14, j_5, l_5, m_5, p_5, L_4, M_4
Circle(C_4, (r * Distance[C_4, D_4]), xOyPlane) → q_5
Intersect(a_4, q_5) → N_4, L_6
Circle(D_4, Radius[q_5], xOyPlane) → r_8
Circle(K_4, Radius[r_8], faceJKTS) → s_5
Circle(I_4, Radius[s_5], faceJKTS) → c_6
Intersect(p_5, s_5) → O_4, P_4
Intersect(j_5, c_6) → Q_4, R_4
Polygon(P_4, R_4, 4, faceJKTS) → poly15, a_5, f_6, g_6, h_6, S_4, T_4
Intersect(f_5, r_8) → U_4, M_6
Polygon(N_4, U_4, 4, xOyPlane) → poly16, i_6, j_6, k_6, l_6, V_4, W_4
Circle(N_4, (r * Distance[N_4, U_4]), xOyPlane) → d_6
Intersect(i_6, d_6) → Z_4, N_6
Circle(U_4, Radius[d_6], xOyPlane) → r_9
Intersect(j_6, r_9) → A_5, O_6
Polygon(Z_4, A_5, 4, xOyPlane) → poly17, m_6, n_6, p_6, q_6, B_5, C_5
Circle(P_4, Radius[r_9], faceJKTS) → r_{12}
Circle(R_4, Radius[r_{12}], faceJKTS) → s_6
Intersect(h_6, r_{12}) → D_5, E_5
Intersect(a_5, s_6) → F_5, G_5
Polygon(E_5, G_5, 4, faceJKTS) → poly18, t_6, a_6, b_6, f_7, H_5, I_5
Circle(Z_4, (r * Distance[Z_4, A_5]), xOyPlane) → c_7
Circle(A_5, Radius[c_7], xOyPlane) → r_{10}
Circle(E_5, Radius[c_7], faceJKTS) → e_7
Circle(G_5, Radius[e_7], faceJKTS) → g_7
Intersect(f_7, e_7) → J_5, K_5
Intersect(t_6, g_7) → L_5, M_5
Polygon(K_5, M_5, 4, faceJKTS) → poly19, h_7, i_7, j_7, k_7, N_5, O_5
Intersect(n_6, r_{10}) → P_5, P_6
Intersect(m_6, c_7) → Q_5, Q_6
Polygon(Q_5, P_5, 4, xOyPlane) → poly20, l_7, m_7, n_7, p_7, R_5, S_5
Polygon(R_3, B_2, Z_3) → t6_b, z_3, r_{11}, b_7
Polygon(Z_3, D_4, C_4) → t7_b, c_8, z_1, d_8
Polygon(D_4, U_4, N_4) → t8_b, n_8, d_9, u_4
Polygon(U_4, A_5, Z_4) → t9_b, z_4, u_1, a_7
Polygon(A_5, P_5, Q_5) → t10_b, q_7, a_8, p_8
Polygon(N_3, D_3, H_3) → t6_g', h_8, n_9, d_1
Polygon(I_4, H_3, K_4) → t7_p', k_8, i_8, h_9
Polygon(R_4, K_4, P_4) → t8_y', p_1, r_{16}, k_9
Polygon(G_5, P_4, E_5) → t9_b', e_4, g_8, p_9
Polygon(M_5, E_5, K_5) → t10_g', k_{10}, m_8, e_6
Polygon(Z, C, W_1) → t1_g, w_5, z_2, c_9
Polygon(D_1, Z, C_1) → t2_g, c_{11}, d_7, z_6
Polygon(H_1, D_1, G_1) → t3_g, g_9, h_{10}, d_5
Polygon(L_1, H_1, K_1) → t4_g, k_{11}, l_8, h_{11}
Polygon(C_2, L_1, B_2) → t5_g, b_8, c_{10}, l_9
Polygon(A_4, C_2, Z_3) → t6_g, z_5, a_9, c_{12}
Polygon(E_4, A_4, D_4) → t7_g, d_{10}, e_8, a_{10}
Polygon(E_4, V_4, U_4) → t8_g, u_2, e_9, v_4
Polygon(V_4, B_5, A_5) → t9_g, a_{11}, v_1, b_9
Polygon(P_5, B_5, R_5) → t10_g, r_{17}, p_{10}, b_{10}
Polygon(W_1, C, H_2) → t1_g', h_{12}, w_6, c_{13}
Polygon(H_2, I_2, L_2) → t2_p', l_{10}, h_{13}, i_9
Polygon(L_2, N_2, R_2) → t3_y', r_{18}, l_{11}, n_{10}
Polygon(R_2, T_2, Z_2) → t4_b', z_7, r_{19}, t_7
Polygon(Z_2, D_3, F_3) → t5_g', f_8, z_8, d_{11}
Polygon(F_3, H_3, P_3) → t6_p', p_{11}, f_9, h_{14}
Polygon(K_4, P_3, M_4) → t7_y', m_9, k_{12}, p_{12}
Polygon(P_4, M_4, T_4) → t8_b', t_8, p_{13}, m_{10}
Polygon(E_5, T_4, I_5) → t9_g', i_{10}, e_{10}, t_9
Polygon(K_5, I_5, O_5) → t10_p', o_5, k_{13}, i_{11}
Polygon(A_1, A, W) → t1_p, w_7, a_{12}, a_{13}
Polygon(E_1, W, B_1) → t2_p, b_{11}, e_{11}, w_8
Polygon(I_1, B_1, F_1) → t3_p, f_{10}, i_{12}, b_{12}
Polygon(M_1, F_1, J_1) → t4_p, j_8, m_{11}, f_{11}
Polygon(D_2, J_1, A_2) → t5_p, a_{14}, d_{12}, j_9
Polygon(B_4, A_2, R_3) → t6_p, r_{20}, b_{13}, a_{15}
Polygon(F_4, R_3, C_4) → t7_p, c_{14}, f_{12}, r_{21}
Polygon(W_4, C_4, N_4) → t8_p, n_{11}, w_9, c_{15}
Polygon(C_5, N_4, Z_4) → t9_p, z_9, c_{16}, n_{12}
Polygon(S_5, Z_4, Q_5) → t10_p, q_8, s_7, z_{10}
Polygon(G_2, F_2, S) → t1_y', s_8, g_{10}, f_{13}
Polygon(K_2, J_2, F_2) → t2_b', f_{14}, k_{14}, j_{10}
Polygon(Q_2, P_2, J_2) → t3_g', j_{11}, q_9, p_{14}
Polygon(V_2, P_2, W_2) → t4_p', w_{10}, v_3, p_{15}
Polygon(B_3, V_2, E_3) → t5_y', e_{12}, b_{14}, v_5
Polygon(B_3, N_3, O_3) → t6_b', o_3, b_{15}, n_{13}
Polygon(N_3, I_4, L_4) → t7_g', l_{12}, n_{14}, i_{13}
Polygon(I_4, R_4, S_4) → t8_p', s_9, i_{14}, r_{22}
Polygon(R_4, G_5, H_5) → t9_y', h_{15}, r_{23}, g_{11}
Polygon(G_5, M_5, N_5) → t10_b', n_{15}, g_{12}, m_{12}
Polygon(Z, D, A_1) → t1_y, a_{16}, z_{11}, d_{13}
Polygon(D_1, A_1, E_1) → t2_y, e_{13}, d_{14}, a_{17}
Polygon(H_1, E_1, I_1) → t3_y, i_{15}, h_{16}, e_{14}
Polygon(L_1, I_1, M_1) → t4_y, m_{13}, l_{13}, i_{16}
Polygon(C_2, M_1, D_2) → t5_y, d_{15}, c_{17}, m_{14}
Polygon(A_4, D_2, B_4) → t6_y, b_{16}, a_{18}, d_{16}
Polygon(E_4, B_4, F_4) → t7_y, f_{15}, e_{15}, b_{17}
Polygon(V_4, F_4, W_4) → t8_y, w_{11}, v_6, f_{16}
Polygon(B_5, W_4, C_5) → t9_y, c_{18}, b_{18}, w_{12}
Polygon(R_5, C_5, S_5) → t10_y, s_{10}, r_{24}, c_{19}
Polygon(G_2, T, H_2) → t1_p', q, e, t_{11}
Polygon(L_2, G_2, K_2) → t2_y', k_{15}, l_{14}, g_{15}
Polygon(R_2, K_2, Q_2) → t3_b', q_{10}, r_{25}, k_{16}
Polygon(Z_2, Q_2, W_2) → t4_g', w_{13}, z_{12}, q_{11}
Polygon(F_3, W_2, E_3) → t5_p', e_{16}, f_{17}, w_{14}
Polygon(P_3, E_3, O_3) → t6_y', o_1, p_{16}, e_{17}
Polygon(M_4, O_3, L_4) → t7_b', l_{15}, m_{15}, o_2
Polygon(T_4, L_4, S_4) → t8_g', s_{11}, t_{10}, l_{16}
Polygon(I_5, S_4, H_5) → t9_p', h_{18}, i_{17}, s_{12}
Polygon(H_5, O_5, N_5) → t10_y', n_{16}, h_{19}, o_4
Plane(K, B, R) → o
Line(K, B) → j_{12}
Line(R, B) → q_{12}
Angle(K, B, R, o) → α
Line(I, B) → t_{12}
Rotate(t1_b, α, t_{12}) → t1_b''
Rotate(t2_b, α, t_{12}) → t2_y''
Rotate(t3_y, α, t_{12}) → t3_b''
Rotate(t4_g, α, t_{12}) → t4_b''
Rotate(t5_b, α, t_{12}) → t5_b''
Rotate(t6_p, α, t_{12}) → t6_b''
Rotate(t7_y, α, t_{12}) → t7_b''
Rotate(t8_b, α, t_{12}) → t8_p''
Rotate(t9_b, α, t_{12}) → t9_b''
Rotate(t10_b, α, t_{12}) → t10_y''
Rotate(t1_p, α, t_{12}) → t1_p''
Rotate(t2_p, α, t_{12}) → t2_b''
Rotate(t3_g, α, t_{12}) → t3_p''
Rotate(t4_b, α, t_{12}) → t4_p''
Rotate(t5_p, α, t_{12}) → t5_p''
Rotate(t6_y, α, t_{12}) → t6_p''
Rotate(t7_g, α, t_{12}) → t7_p''
Rotate(t8_p, α, t_{12}) → t8_g''
Rotate(t9_p, α, t_{12}) → t9_p''
Rotate(t10_p, α, t_{12}) → t10_b''
OrthogonalLine(B, xOyPlane) → g_{13}
Rotate(t2_y, α, t_{12}) → t2_p''
Rotate(t8_g, α, t_{12}) → t8_b''
Rotate(t10_y, α, t_{12}) → t10_p''
Rotate(t8_y, α, t_{12}) → t8_y''
Rotate(t9_y, α, t_{12}) → t9_g''
Rotate(t10_g, α, t_{12}) → t10_g''
Rotate(t9_g, α, t_{12}) → t9_y''
Rotate(t7_p, α, t_{12}) → t7_y''
Rotate(t7_b, α, t_{12}) → t7_g''
Rotate(t6_g, α, t_{12}) → t6_g''
Rotate(t6_b, α, t_{12}) → t6_y''
Rotate(t5_y, α, t_{12}) → t5_g''
Rotate(t5_g, α, t_{12}) → t5_y''
Rotate(t4_p, α, t_{12}) → t4_g''
Rotate(t4_y, α, t_{12}) → t4_y''
Rotate(t3_p, α, t_{12}) → t3_y''
Rotate(t1_g, α, t_{12}) → t1_y''
Rotate(t3_b, α, t_{12}) → t3_g''
Rotate(t2_g, α, t_{12}) → t2_g''
Rotate(t1_y, α, t_{12}) → t1_g''
Line(D, K) → j_{13}
Rotate(t1_g, (-α), j_{13}) → t1_g'''
Rotate(t2_b, (-α), j_{13}) → t2_g'''
Rotate(t3_p, (-α), j_{13}) → t3_g'''
Rotate(t4_y, (-α), j_{13}) → t4_g'''
Rotate(t5_g, (-α), j_{13}) → t5_g'''
Rotate(t6_b, (-α), j_{13}) → t6_g'''
Rotate(t7_p, (-α), j_{13}) → t7_g'''
Rotate(t8_y, (-α), j_{13}) → t8_g'''
Rotate(t9_g, (-α), j_{13}) → t9_g'''
Rotate(t10_b, (-α), j_{13}) → t10_g'''
Rotate(t1_b, (-α), j_{13}) → t1_p'''
Rotate(t2_p, (-α), j_{13}) → t2_p'''
Rotate(t3_y, (-α), j_{13}) → t3_p'''
Rotate(t4_g, (-α), j_{13}) → t4_p'''
Rotate(t5_b, (-α), j_{13}) → t5_p'''
Rotate(t6_p, (-α), j_{13}) → t6_p'''
Rotate(t7_y, (-α), j_{13}) → t7_p'''
Rotate(t8_g, (-α), j_{13}) → t8_p'''
Rotate(t9_b, (-α), j_{13}) → t9_p'''
Rotate(t10_p, (-α), j_{13}) → t10_p'''
Rotate(t1_y, (-α), j_{13}) → t1_y'''
Rotate(t2_g, (-α), j_{13}) → t2_y'''
Rotate(t3_b, (-α), j_{13}) → t3_y'''
Rotate(t4_p, (-α), j_{13}) → t4_y'''
Rotate(t5_y, (-α), j_{13}) → t5_y'''
Rotate(t6_g, (-α), j_{13}) → t6_y'''
Rotate(t7_b, (-α), j_{13}) → t7_y'''
Rotate(t8_p, (-α), j_{13}) → t8_y'''
Rotate(t9_y, (-α), j_{13}) → t9_y'''
Rotate(t10_g, (-α), j_{13}) → t10_y'''
Rotate(t1_p, (-α), j_{13}) → t1_b'''
Rotate(t2_y, (-α), j_{13}) → t2_b'''
Rotate(t3_g, (-α), j_{13}) → t3_b'''
Rotate(t4_b, (-α), j_{13}) → t4_b'''
Rotate(t5_p, (-α), j_{13}) → t5_b'''
Rotate(t6_y, (-α), j_{13}) → t6_b'''
Rotate(t7_g, (-α), j_{13}) → t7_b'''
Rotate(t8_b, (-α), j_{13}) → t8_b'''
Rotate(t9_p, (-α), j_{13}) → t9_b'''
Rotate(t10_y, (-α), j_{13}) → t10_b'''
Rotate(t1_y, α, edgeAD) → t1_y''''
Rotate(t2_g, α, edgeAD) → t2_y''''
Rotate(t3_b, α, edgeAD) → t3_y''''
Rotate(t4_p, α, edgeAD) → t4_y''''
Rotate(t5_y, α, edgeAD) → t5_y''''
Rotate(t6_g, α, edgeAD) → t6_y''''
Rotate(t7_b, α, edgeAD) → t7_y''''
Rotate(t8_p, α, edgeAD) → t8_y''''
Rotate(t9_y, α, edgeAD) → t9_y''''
Rotate(t10_g, α, edgeAD) → t10_y''''
Rotate(t1_g, α, edgeAD) → t1_b''''
Rotate(t2_b, α, edgeAD) → t2_b''''
Rotate(t3_p, α, edgeAD) → t3_b''''
Rotate(t4_y, α, edgeAD) → t4_b''''
Rotate(t5_g, α, edgeAD) → t5_b''''
Rotate(t6_b, α, edgeAD) → t6_b''''
Rotate(t7_p, α, edgeAD) → t7_b''''
Rotate(t8_y, α, edgeAD) → t8_b''''
Rotate(t9_g, α, edgeAD) → t9_b''''
Rotate(t10_b, α, edgeAD) → t10_b''''
Rotate(t1_p, α, edgeAD) → t1_p''''
Rotate(t2_y, α, edgeAD) → t2_p''''
Rotate(t3_g, α, edgeAD) → t3_p''''
Rotate(t4_b, α, edgeAD) → t4_p''''
Rotate(t5_p, α, edgeAD) → t5_p''''
Rotate(t6_y, α, edgeAD) → t6_p''''
Rotate(t7_g, α, edgeAD) → t7_p''''
Rotate(t8_b, α, edgeAD) → t8_p''''
Rotate(t9_p, α, edgeAD) → t9_p''''
Rotate(t10_y, α, edgeAD) → t10_p''''
Rotate(t1_b, α, edgeAD) → t1_g''''
Rotate(t2_p, α, edgeAD) → t2_g''''
Rotate(t3_y, α, edgeAD) → t3_g''''
Rotate(t4_g, α, edgeAD) → t4_g''''
Rotate(t5_b, α, edgeAD) → t5_g''''
Rotate(t6_p, α, edgeAD) → t6_g''''
Rotate(t7_y, α, edgeAD) → t7_g''''
Rotate(t8_g, α, edgeAD) → t8_g''''
Rotate(t9_b, α, edgeAD) → t9_g''''
Rotate(t10_p, α, edgeAD) → t10_g''''
Rotate(t1_b'''', α, edgeMN) → t1_b'''''
Rotate(t2_y'''', α, edgeMN) → t2_b'''''
Rotate(t3_p'''', α, edgeMN) → t3_b'''''
Rotate(t4_g'''', α, edgeMN) → t4_b'''''
Rotate(t5_b'''', α, edgeMN) → t5_b'''''
Rotate(t6_y'''', α, edgeMN) → t6_b'''''
Rotate(t7_p'''', α, edgeMN) → t7_b'''''
Rotate(t8_g'''', α, edgeMN) → t8_b'''''
Rotate(t9_b'''', α, edgeMN) → t9_b'''''
Rotate(t10_y'''', α, edgeMN) → t10_b'''''
Rotate(t2_g'''', α, edgeMN) → t2_y'''''
Rotate(t1_p'''', α, edgeMN) → t1_y'''''
Rotate(t2_b'''', α, edgeMN) → t2_g'''''
Rotate(t1_g'''', α, edgeMN) → t1_g'''''
Rotate(t3_b'''', α, edgeMN) → t3_y'''''
Rotate(t4_y'''', α, edgeMN) → t4_y'''''
Rotate(t5_p'''', α, edgeMN) → t5_y'''''
Rotate(t6_g'''', α, edgeMN) → t6_y'''''
Rotate(t7_b'''', α, edgeMN) → t7_y'''''
Rotate(t8_y'''', α, edgeMN) → t8_y'''''
Rotate(t9_p'''', α, edgeMN) → t9_y'''''
Rotate(t10_g'''', α, edgeMN) → t10_y'''''
Rotate(t3_y'''', α, edgeMN) → t3_g'''''
Rotate(t4_p'''', α, edgeMN) → t4_g'''''
Rotate(t5_g'''', α, edgeMN) → t5_g'''''
Rotate(t6_b'''', α, edgeMN) → t6_g'''''
Rotate(t7_y'''', α, edgeMN) → t7_g'''''
Rotate(t8_p'''', α, edgeMN) → t8_g'''''
Rotate(t9_g'''', α, edgeMN) → t9_g'''''
Rotate(t10_b'''', α, edgeMN) → t10_g'''''
Rotate(t1_y'''', α, edgeMN) → t1_p'''''
Rotate(t2_p'''', α, edgeMN) → t2_p'''''
Rotate(t3_g'''', α, edgeMN) → t3_p'''''
Rotate(t4_b'''', α, edgeMN) → t4_p'''''
Rotate(t5_y'''', α, edgeMN) → t5_p'''''
Rotate(t6_p'''', α, edgeMN) → t6_p'''''
Rotate(t7_g'''', α, edgeMN) → t7_p'''''
Rotate(t8_b'''', α, edgeMN) → t8_p'''''
Rotate(t9_y'''', α, edgeMN) → t9_p'''''
Rotate(t10_p'''', α, edgeMN) → t10_p'''''

AI Drawing Prompt Reference

Draw a Baravelle cube and its net. Start with a cube, then on each face construct a series of rhombi sharing edges, with side lengths decreasing proportionally, creating a spiral nested pattern. Unfold the cube into a flat net and repeat the same rhombus pattern on each square face of the net, preserving the connections between faces. The final image shows both the 3D cube with nested rhombi and its corresponding 2D net with matching patterns.

The prompt above was compiled from the original drawing commands and is for reference only.