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Cube Construction and Properties Demo

Cube Construction and Properties Demo
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2017-10-31 05:42
VectorSolid GeometryGeometric Construction
This example demonstrates the construction of a cube in GeoGebra, showcasing its vertices, edges, and faces. Core math concepts include solid geometry, spatial relationships, and geometric construction. The construction uses commands like Point, Cube, edge, and face as detailed in the summary. Suitable for high school and above students to learn and understand the composition and properties of 3D geometric figures, or for supplementary teaching demonstrations.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Point(Circle[V, Distance[U, V], Segment[U, V]]) → W
  3. Point(Circle[F_1, Distance[E_1, F_1], Segment[E_1, F_1]]) → G_1
  4. Point(Circle[N_1, Distance[M_1, N_1], Segment[M_1, N_1]]) → O_1
  5. Point(Circle[E, Distance[D, E], Segment[D, E]]) → F
  6. Cube(D, E, F) → a, G, faceFGKJ, faceHIJK, edgeDG, edgeDE, edgeEF, edgeFG, edgeDH, edgeGK, edgeHK, edgeHI, H, edgeEI, edgeIJ, edgeFJ, edgeJK, I, J, K, faceDEFG, faceDGKH, faceDEIH, faceEFJI
  7. Point(Circle[M, Distance[L, M], Segment[L, M]]) → N
  8. Cube(L, M, N) → b, O, faceNOSR, facePQRS, edgeLO, edgeLM, edgeMN, edgeNO, edgeLP, edgeOS, edgePS, edgePQ, P, edgeMQ, edgeQR, edgeNR, edgeRS, Q, R, S, faceLMNO, faceLOSP, faceLMQP, faceMNRQ
  9. Point(Circle[Z, Distance[T, Z], Segment[T, Z]]) → A_1
  10. Cube(T, Z, A_1) → c, B_1, face5, face6, edge1, edgeTZ, edge3, edge5, edge2, edge7, edge9, edge8, C_1, edge4, edge10, edge6, edge11, D_1, H_1, I_1, face1, face3, face2, face4
  11. Point(Circle[D_1, Distance[C_1, D_1], Segment[C_1, D_1]]) → J_1
  12. Cube(C_1, D_1, J_1) → d, K_1, face11, face12, edge13, edge12, edge15, edge17, edge14, edge19, edge21, edge20, L_1, edge16, edge22, edge18, edge23, P_1, Q_1, R_1, face7, face9, face8, face10
  13. Point(Circle[P_1, Distance[L_1, P_1], Segment[L_1, P_1]]) → S_1
  14. Cube(L_1, P_1, S_1) → e, T_1, face17, face18, edge25, edge24, edge27, edge29, edge26, edge31, edge33, edge32, U_1, edge28, edge34, edge30, edge35, V_1, W_1, Z_1, face13, face15, face14, face16
  15. Point(Circle[T, Distance[A_2, T], Segment[A_2, T]]) → B_2
  16. Cube(A_2, T, B_2) → f, C_2, face23, face24, edge39, edge36, edge37, edge41, edge40, edge43, edge45, edge44, D_2, edge38, edge46, edge42, edge47, E_2, F_2, G_2, face19, face22, face20, face21
  17. Point(edgeDG) → I_2
  18. Point(Circle[I_2, Distance[H_2, I_2], Segment[H_2, I_2]]) → J_2
  19. Cube(H_2, I_2, J_2) → g, K_2, face29, face30, edge49, edge48, edge51, edge53, edge50, edge55, edge57, edge56, L_2, edge52, edge58, edge54, edge59, M_2, N_2, O_2, face25, face27, face26, face28