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Views of a Cube Building

Views of a Cube Building
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2017-07-23 18:00
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates different perspectives of a cube building. It involves basic concepts of solid geometry, such as the construction of a cube and perspective transformation. Using GeoGebra commands like `Cube` and `对象`, it dynamically shows the various faces and edges of the cube. Suitable for middle school and above students to learn solid geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Cube((0, 0, 0), (1, 0, 0), (1, 1, 0)) → a, A, face5, faceBCDE, edge2, edge1, edge4, edge6, edge3, edgeAE, edgeBE, edgeBC, B, edge5, edgeCD, edge7, edgeDE, C, D, E, face1, face3, face2, face4
  2. Cube((2, 1, 0), (3, 1, 0), (3, 2, 0)) → b, F, face10, faceGHIJ, edge9, edge8, edge11, edge13, edge10, edgeFJ, edgeGJ, edgeGH, G, edge12, edgeHI, edge14, edgeIJ, H, I, J, face6, face8, face7, face9
  3. Cube((1, 2, 0), (2, 2, 0), (2, 3, 0)) → c, K, face15, faceLMNO, edge16, edge15, edge18, edge20, edge17, edgeKO, edgeLO, edgeLM, L, edge19, edgeMN, edge21, edgeNO, M, N, O, face11, face13, face12, face14
  4. Cube((1, 0, 1), (2, 0, 1), (2, 1, 1)) → d, P, face20, faceQRST, edge23, edge22, edge25, edge27, edge24, edgePT, edgeQT, edgeQR, Q, edge26, edgeRS, edge28, edgeST, R, S, T, face16, face18, face17, face19
  5. Cube((0, 1, 1), (1, 1, 1), (1, 2, 1)) → e, U, face25, face26, edge30, edge29, edge32, edge34, edge31, edge36, edge37, edgeVW, V, edge33, edgeWZ, edge35, edge38, W, Z, A_1, face21, face23, face22, face24
  6. Cube((2, 2, 1), (3, 2, 1), (3, 3, 1)) → f, B_1, face31, face32, edge40, edge39, edge42, edge44, edge41, edge46, edge48, edge47, C_1, edge43, edge49, edge45, edge50, D_1, E_1, F_1, face27, face29, face28, face30
  7. Cube((2, 0, 2), (3, 0, 2), (3, 1, 2)) → g, G_1, face37, face38, edge52, edge51, edge54, edge56, edge53, edge58, edge60, edge59, H_1, edge55, edge61, edge57, edge62, I_1, J_1, K_1, face33, face35, face34, face36
  8. Cube((1, 1, 2), (2, 1, 2), (2, 2, 2)) → h, L_1, face43, face44, edge64, edge63, edge66, edge68, edge65, edge70, edge72, edge71, M_1, edge67, edge73, edge69, edge74, N_1, O_1, P_1, face39, face41, face40, face42
  9. Cube((0, 2, 2), (1, 2, 2), (1, 3, 2)) → i, Q_1, face49, face50, edge76, edge75, edge78, edge80, edge77, edge82, edge84, edge83, R_1, edge79, edge85, edge81, edge86, S_1, T_1, U_1, face45, face47, face46, face48
  10. Cube((0, 0, 0), (3, 0, 0), (3, 3, 0)) → j, V_1, face55, face56, edge88, edge87, edge90, edge92, edge89, edge94, edge96, edge95, W_1, edge91, edge97, edge93, edge98, Z_1, A_2, B_2, face51, face53, face52, face54