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Cube Construction Demo by cicilia intan

Cube Construction Demo by cicilia intan
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2016-12-20 02:50
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to construct a cube and its faces, edges, and vertices using GeoGebra. It involves core math concepts like solid geometry, points, lines, planes, and coordinate geometry. Key GeoGebra commands/objects used include Intersect, Point, and Cube. Suitable for high school and above students to learn about the structure and properties of 3D geometric figures.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD_1, edgeAE, edgeDH, edgeEH, edgeEF_1, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Point(xAxis) → I
  6. Point(Circle[I, Distance[B, I], Segment[B, I]]) → J
  7. Cube(B, I, J) → b, K, faceJKON, faceLMNO, edgeBK, edgeBI, edgeIJ, edgeJK, edgeBL, edgeKO, edgeLO, edgeLM, L, edgeIM, edgeMN, edgeJN, edgeNO, M, N, O, faceBIJK, faceBKOL, faceBIML, faceIJNM
  8. Point(Circle[C, Distance[D, C], Segment[D, C]]) → P
  9. Cube(D, C, P) → c, Q, facePQUT, faceRSTU, edgeDQ, edgeCD, edgeCP, edgePQ, edgeDR, edgeQU, edgeRU, edgeRS, R, edgeCS, edgeST, edgePT, edgeTU, S, T, U, faceCDQP, faceDQUR, faceCDRS, faceCPTS
  10. Point(Circle[J, Distance[C, J], Segment[C, J]]) → V
  11. Cube(C, J, V) → d, W, face4, face5, edgeCW, edgeCJ, edgeJV, edgeVW, edgeCZ, edge3, edge5, edge4, Z, edge1, edge6, edge2, edge7, A_1, B_1, C_1, faceCJVW, face2, face1, face3
  12. Point(Circle[F, Distance[E, F], Segment[E, F]]) → D_1
  13. Cube(E, F, D_1) → e, E_1, face10, face11, edge8, edgeEF, edge10, edge12, edge9, edge14, edge16, edge15, F_1, edge11, edge17, edge13, edge18, G_1, H_1, I_1, face6, face8, face7, face9
  14. Point(Circle[M, Distance[F, M], Segment[F, M]]) → J_1
  15. Cube(F, M, J_1) → f, K_1, face16, face17, edge19, edgeFM, edge21, edge23, edge20, edge25, edge27, edge26, L_1, edge22, edge28, edge24, edge29, M_1, N_1, O_1, face12, face14, face13, face15
  16. Point(Circle[D_1, Distance[H, D_1], Segment[H, D_1]]) → P_1
  17. Cube(H, D_1, P_1) → g, Q_1, face22, face23, edge31, edge30, edge33, edge35, edge32, edge37, edge39, edge38, R_1, edge34, edge40, edge36, edge41, S_1, T_1, U_1, face18, face20, face19, face21
  18. Point(Circle[J_1, Distance[D_1, J_1], Segment[D_1, J_1]]) → V_1
  19. Cube(D_1, J_1, V_1) → h, W_1, face28, face29, edge43, edge42, edge45, edge47, edge44, edge49, edge51, edge50, Z_1, edge46, edge52, edge48, edge53, A_2, B_2, C_2, face24, face26, face25, face27
  20. Point(Circle[V, Distance[I, V], Segment[I, V]]) → D_2
  21. Cube(I, V, D_2) → i, E_2, face34, face35, edge54, edgeIV, edge56, edge58, edge55, edge60, edge62, edge61, F_2, edge57, edge63, edge59, edge64, G_2, H_2, I_2, face30, face32, face31, face33

AI Drawing Prompt Reference

In 3D space, starting from the origin, place a series of points along the x-axis. For each consecutive pair of points, construct a square and extrude it into a cube. These cubes are arranged sequentially along the x-axis, sharing edges or vertices, forming a continuous chain. Each cube clearly shows its six faces, twelve edges, and eight vertices, demonstrating spatial relationships among points, lines, and planes.
The prompt above was compiled from the original drawing commands and is for reference only.