Net of Cube and Cuboid

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2017-11-22 17:10

This example demonstrates the nets of a cube and cuboid. It involves basic concepts in solid geometry, such as the unfolding and folding of polyhedra. Using GeoGebra commands like Polygon and Prism, it provides a visual representation of these geometric structures. Suitable for middle and high school students studying solid geometry.

GeoGebra Commands & Parameters

Polygon(A, B, 4) → poly1, f, g, h, i, C, D
Prism(poly1, 0) → a, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
Prism(faceEFGH, c) → d, M, edgeEM, edgeFN, edgeGO, edgeHP, edgeMN, edgeNO, edgeOP, edgeMP, N, O, P, faceEFNM, faceFGON, faceGHPO, faceEHPM, faceMNOP
Net(d, Cube) → e, I, V, W, Z, A_1, B_1, faceIJKL, faceIJRQ, faceJKTS, faceKLVU, faceILWZ, J, face1, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIQ, edgeQR, edgeJR, edgeJS, edgeST, K, edgeKT, edgeKU, edgeUV, edgeLV, edgeLW, edgeWZ, edgeIZ, edge2, edge3, edge1, L, Q, R, S, T, U
Polygon(C_1, D_1, 4) → poly2, k, l, m, n, E_1, F_1
Prism(poly2, p) → q, K_1, edge12, edge13, edge14, edge15, edge16, edge18, edge19, edge17, L_1, M_1, N_1, face7, face9, face10, face8, face11
Net(q, Cuboid) → r, G_1, T_1, U_1, V_1, W_1, Z_1, face2, face3, face5, face6, face4, H_1, face12, edge4, edge8, edge11, edge5, edge6, edge24, edge9, edge10, edge27, I_1, edge20, edge21, edge28, edge22, edge23, edge29, edge7, edge26, edge30, edge25, J_1, O_1, P_1, Q_1, R_1, S_1