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Dodecahedron Exploration Template

Dodecahedron Exploration Template
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2018-12-31 10:30
PolygonSolid GeometryGeometric Construction
In collections GeoGebra 3D & AR: Geometry Resources & Challenges Platonic Solids
This example demonstrates the geometric construction and net of a dodecahedron, involving core math concepts like polygons, solid geometry, and geometric construction. Key GeoGebra commands used include Intersect, Point, Dodecahedron, and Net, making it suitable for high school students and math enthusiasts exploring solid geometry properties.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[((A * (1 - sqrt(5))) + (B * (3 + sqrt(5)))) / 4, (Distance[A, B] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[A, B]]) → C
  4. 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
  5. 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