Cube and its Net

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2017-03-04 01:27

Polygon Solid Geometry

This example demonstrates the 3D shape of a cube and its net. Core math concepts include solid geometry, polygons, and geometric transformations. Construction involves commands like Polygon to create the cube and its net, using objects such as A, B, C, D, poly1, a, b, c, d, e, E, F, G, H, I, J, faceADEF, etc. Suitable for high school geometry teaching or geometric construction learning.

GeoGebra Commands & Parameters

Polygon(A, B, C, D) → poly1, a, b, c, d
Cube(A, D, poly1) → e, E, faceDEIH, faceEFJI, faceGHIJ, edgeAF, edgeAD, edgeDE, edgeEF, edgeAG, edgeFJ, edgeGJ, F, edgeGH, edgeDH, edgeHI, edgeEI, edgeIJ, G, H, I, J, faceADEF, faceAFJG, faceADHG
Net(e, f) → g, K, T, U, V, W, Z, faceKLMN, faceKNPO, faceKLTS, faceLMVU, faceMNZW, L, faceOPQR, edgeKN, edgeKL, edgeLM, edgeMN, edgeNP, edgeOP, edgeKO, edgeKS, edgeST, M, edgeLT, edgeLU, edgeUV, edgeMV, edgeMW, edgeWZ, edgeNZ, edgePQ, edgeQR, edgeOR, N, O, P, Q, R, S
Net(e, animated) → i, A_1, J_1, K_1, L_1, M_1, N_1, face1, face3, face2, face4, face5, B_1, face6, edge2, edge1, edge5, edge8, edge11, edge13, edge3, edge4, edge17, C_1, edge6, edge7, edge18, edge9, edge10, edge19, edge12, edge15, edge16, edge14, D_1, E_1, F_1, G_1, H_1, I_1

AI Drawing Prompt Reference

Draw a cube and its net. First, create a quadrilateral with points A, B, C, and D as one of the cube's faces. Then, construct a cube using points A and D and the quadrilateral, including six faces and twelve edges. Finally, unfold the cube to create a flat net with six rectangular faces and twelve edges.

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