Dodecahedron AR Exploration Template

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2020-04-17 09:44

In collections GeoGebra 3D Grafikrechner mit AR - Beispielsammlung

This example demonstrates a 3D model of a dodecahedron and its net, integrating concepts of polygons, solid geometry, and net unfolding. It uses GeoGebra commands like Intersect, Point, Dodecahedron, and Net. Suitable for high school students and math enthusiasts exploring AR technology in geometry learning.

GeoGebra Commands & Parameters

Intersect(zAxis, xAxis) → A
Point(xAxis) → B
Point(Circle[((A * (1 - sqrt(5))) + (B * (3 + sqrt(5)))) / 4, (Distance[A, B] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[A, B]]) → C
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, edgeAB, edgeBC, edgeCD, edgeDE, edgeAJ, edgeEI, edgeIO, edgeJO, edgeJK, G, edgeFK, edgeBF, edgeFL, edgeGL, edgeCG, edgeGM, edgeHM, edgeDH, edgeHN, edgeIN, H, edgeNS, edgeST, edgeOT, edgePT, edgeKP, edgePQ, edgeLQ, edgeQR, edgeMR, edgeRS, I, J, K, L
Net(a, CreateNet) → c, U, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, V, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, W, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, face1, Z, face3, face2, face4, face5, face6, face8, face7, face10, face11, face12, A_1, face9, edge1, edgeUV, edgeVW, edgeWZ, edge8, edge11, edge15, edge13, edge2, B_1, edge3, edge27, edge28, edge4, edge5, edge33, edge34, edge6, edge7, edge39, C_1, edge40, edge9, edge10, edge45, edge46, edge12, edge16, edge19, edge20, edge17, D_1, edge18, edge25, edge26, edge14, edge29, edge31, edge32, edge30, edge35, edge37, E_1, edge38, edge36, edge41, edge43, edge44, edge42, edge21, edge23, edge24, edge22