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Dodecahedron

Dodecahedron
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2019-06-12 22:55
PolygonSolid GeometryGeometric Construction
This example demonstrates the geometric construction and properties of a dodecahedron, involving core math concepts like polygons, solid geometry, symmetry, spheres, and geometric transformations. It uses commands such as Polygon, Dodecahedron, Barycenter, Sphere, PointIn, and Segment in GeoGebra. Suitable for high school students and math enthusiasts learning solid geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. Dodecahedron(poly1, true) → a, F, O, P, Q, R, S, T, faceAEIOJ, faceABFKJ, faceBCGLF, faceCDHMG, G, faceDEINH, faceINSTO, faceJKPTO, faceFKPQL, faceGLQRM, faceHMRSN, facePQRST, edgeAJ, edgeEI, edgeIO, H, edgeJO, edgeJK, edgeFK, edgeBF, edgeFL, edgeGL, edgeCG, edgeGM, edgeHM, edgeDH, I, edgeHN, edgeIN, edgeNS, edgeST, edgeOT, edgePT, edgeKP, edgePQ, edgeLQ, edgeQR, J, edgeMR, edgeRS, K, L, M, N
  3. Barycenter({M, G, L, F, K, J, O, I, N, H, R, Q, P, T, S, D, C, B, A, E}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}) → SUN
  4. Sphere(SUN, L) → b
  5. PointIn(b) → earth
  6. Segment(Q, earth) → g_1
  7. Segment(R, earth) → f_1
  8. Segment(D, earth) → e
  9. Segment(S, earth) → d
  10. Segment(I, earth) → c
  11. Segment(N, earth) → k_2
  12. Segment(H, earth) → l
  13. Segment(M, earth) → m
  14. Segment(G, earth) → n
  15. Segment(L, earth) → p
  16. Segment(F, earth) → q
  17. Segment(K, earth) → r
  18. Segment(J, earth) → s
  19. Segment(O, earth) → t
  20. Segment(B, earth) → h_1
  21. Segment(P, earth) → i_1
  22. Segment(A, earth) → j_1
  23. Segment(E, earth) → k_1
  24. Segment(T, earth) → l_1
  25. Segment(C, earth) → m_1
  26. Segment(SUN, earth) → n_1