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Cube Net Animation

Cube Net Animation
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2017-10-19 01:21
PolygonSolid GeometryGeometric Construction
This example demonstrates the dynamic transformation of a cube's net. It involves core math concepts like solid geometry, polygons, and spatial visualization. Constructed using GeoGebra commands such as Point, Cube, Net, it illustrates the relationship between 3D objects and their 2D unfoldings. Suitable for high school students or geometry education purposes.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → kotak, D, faceCDHG, faceEFGH, AD, AB, BC, CD, AE, DH, EH, EF, E, BF, FG, CG, GH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  3. Net(kotak, k, faceABCD, BC, AE, EF, EH, CD, CG, FG) → JAR11, I, R, S, T, U, V, face1, face2, face3, face4, face5, J, face6, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, edge9, K, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, edge18, edge19, L, M, N, O, P, Q
  4. Net(kotak, k, faceABCD, AB, AE, EF, CD, DH, GH, FG) → JAR1, W, H_1, I_1, J_1, K_1, L_1, face7, face8, face10, face9, face11, Z, face12, edge20, edgeWZ, edge22, edge25, edge28, edge29, edge21, edge23, edge24, A_1, edge36, edge34, edge33, edge26, edge35, edge37, edge27, edge31, edge32, edge30, B_1, C_1, D_1, E_1, F_1, G_1
  5. Net(kotak, k, faceABCD, AB, AE, EF, CG, DH, GH, FG) → JAR2, M_1, V_1, W_1, Z_1, A_2, B_2, face13, face14, face16, face15, face17, N_1, face18, edge39, edge38, edge41, edge44, edge47, edge49, edge40, edge42, edge43, O_1, edge55, edge54, edge53, edge45, edge46, edge56, edge48, edge51, edge52, edge50, P_1, Q_1, R_1, S_1, T_1, U_1
  6. Net(kotak, k, faceABCD, AB, AE, EF, CG, CD, GH, FG) → JAR3, C_2, L_2, M_2, N_2, O_2, P_2, face19, face20, face22, face21, face23, D_2, face24, edge58, edge57, edge60, edge63, edge65, edge67, edge59, edge61, edge62, E_2, edge75, edge74, edge73, edge64, edge66, edge71, edge69, edge70, edge72, edge68, F_2, G_2, H_2, I_2, J_2, K_2
  7. Net(kotak, k, faceABCD, AB, AE, EF, CG, CD, DH, FG) → JAR4, Q_2, B_3, C_3, D_3, E_3, F_3, face25, face26, face28, face27, face30, R_2, face29, edge77, edge76, edge79, edge82, edge84, edge85, edge78, edge80, edge81, S_2, edge94, edge93, edge92, edge83, edge87, edge88, edge91, edge90, edge89, edge86, T_2, U_2, V_2, W_2, Z_2, A_3
  8. Net(kotak, k, faceABCD, BF, AE, EF, CG, GH, DH, FG) → JAR5, G_3, P_3, Q_3, R_3, S_3, T_3, face31, face33, face32, face34, face35, H_3, face36, edge96, edge95, edge99, edge102, edge105, edge107, edge97, edge98, edge111, I_3, edge100, edge101, edge112, edge103, edge104, edge113, edge106, edge109, edge110, edge108, J_3, K_3, L_3, M_3, N_3, O_3
  9. Net(kotak, k, faceABCD, BF, AE, EF, CG, GH, CD, FG) → JAR6, U_3, F_4, G_4, H_4, I_4, J_4, face37, face39, face38, face40, face41, V_3, face42, edge115, edge114, edge118, edge121, edge123, edge125, edge116, edge117, edge131, W_3, edge119, edge120, edge132, edge122, edge124, edge129, edge127, edge128, edge130, edge126, Z_3, A_4, B_4, C_4, D_4, E_4
  10. Net(kotak, k, faceABCD, BC, AE, EF, CG, GH, CD, FG) → JAR8, K_4, T_4, U_4, V_4, W_4, Z_4, face43, face45, face44, face46, face47, L_4, face48, edge134, edge133, edge137, edge140, edge141, edge143, edge135, edge136, edge149, M_4, edge138, edge150, edge151, edge139, edge142, edge147, edge145, edge146, edge148, edge144, N_4, O_4, P_4, Q_4, R_4, S_4
  11. Net(kotak, k, faceABCD, BC, AE, EF, CG, GH, DH, FG) → JAR7, A_5, J_5, K_5, L_5, M_5, N_5, face49, face51, face50, face52, face53, B_5, face54, edge153, edge152, edge156, edge159, edge161, edge163, edge154, edge155, edge167, C_5, edge157, edge168, edge169, edge158, edge160, edge170, edge162, edge165, edge166, edge164, D_5, E_5, F_5, G_5, H_5, I_5
  12. Net(kotak, k, faceABCD, BC, AE, EF, CG, CD, DH, FG) → JAR9, O_5, Z_5, A_6, B_6, C_6, D_6, face55, face57, face56, face58, face60, P_5, face59, edge172, edge171, edge175, edge178, edge179, edge180, edge173, edge174, edge187, Q_5, edge176, edge188, edge189, edge177, edge182, edge183, edge186, edge185, edge184, edge181, R_5, S_5, T_5, U_5, V_5, W_5
  13. Net(kotak, k, faceABCD, BC, AE, EF, GH, CD, DH, FG) → JAR10, E_6, N_6, O_6, P_6, Q_6, R_6, face61, face63, face62, face64, face66, F_6, face65, edge191, edge190, edge194, edge197, edge198, edge199, edge192, edge193, edge203, G_6, edge195, edge204, edge205, edge196, edge207, edge208, edge206, edge201, edge202, edge200, H_6, I_6, J_6, K_6, L_6, M_6

AI Drawing Prompt Reference

Create an animation showing the dynamic transformation of a cube's net. Start by constructing a cube, then generate multiple different nets, each consisting of six square faces. The animation should demonstrate how the cube unfolds and folds by rotating and moving the nets, clearly showing the relationship between the 3D object and its 2D unfoldings, suitable for geometry education.
The prompt above was compiled from the original drawing commands and is for reference only.