Dynamic Demonstration of Cube Net

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2014-12-17 21:59

In collections Cuboids & their Nets

This example dynamically demonstrates the net of a cube and its transformations. It involves core mathematical concepts like solid geometry, polygons, and relationships between faces and edges. The construction uses GeoGebra commands such as Point, Cube, Net to create vertices, faces, and edges. Suitable for middle school students and above learning solid geometry or for educational presentations.

GeoGebra Commands & Parameters

Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
Cube(A, B, C) → a, D, 面CDHG, 面EFGH, 棱AD, 棱AB, 棱BC, 棱CD, 棱AE, 棱DH, 棱EH, 棱EF, E, 棱BF, 棱FG, 棱CG, 棱GH, F, G, H, 面ABCD, 面ADHE, 面ABFE, 面BCGF
Net(a, c, 棱AE, 面ABCD, 棱AD, 棱AE, 棱DH, 棱CG, 棱GH, 棱EF, 棱BF) → b, I, R, S, T, U, V, 面1, 面2, 面3, 面4, 面5, J, 面6, 棱1, 棱2, 棱3, 棱4, 棱5, 棱6, 棱7, 棱8, 棱9, K, 棱10, 棱11, 棱12, 棱13, 棱14, 棱15, 棱16, 棱17, 棱18, 棱19, L, M, N, O, P, Q
Net(a, c, 棱AE, 面ABCD, 棱BF, 棱CD, 棱AE, 棱CG, 棱GH, 棱EF, 棱EH) → d, W, H_1, I_1, J_1, K_1, L_1, 面7, 面8, 面9, 面10, 面11, Z, 面12, 棱20, 棱21, 棱22, 棱23, 棱24, 棱25, 棱26, 棱27, 棱28, A_1, 棱29, 棱30, 棱31, 棱32, 棱33, 棱34, 棱35, 棱36, 棱37, 棱38, B_1, C_1, D_1, E_1, F_1, G_1
Net(a, c, 棱AE, 面ABCD, 棱AB, 棱CD, 棱AE, 棱CG, 棱GH, 棱EF, 棱EH) → e, M_1, V_1, W_1, Z_1, A_2, B_2, 面13, 面14, 面16, 面15, 面17, N_1, 面18, 棱40, 棱39, 棱42, 棱45, 棱47, 棱49, 棱41, 棱43, 棱44, O_1, 棱56, 棱53, 棱52, 棱46, 棱48, 棱51, 棱50, 棱54, 棱57, 棱55, P_1, Q_1, R_1, S_1, T_1, U_1
Net(a, c, 棱AE, 面ABCD, 棱AB, 棱CD, 棱AE, 棱CG, 棱GH, 棱BF, 棱EH) → f, C_2, L_2, M_2, N_2, O_2, P_2, 面19, 面20, 面24, 面21, 面22, D_2, 面23, 棱59, 棱58, 棱61, 棱63, 棱65, 棱67, 棱60, 棱71, 棱72, E_2, 棱76, 棱75, 棱62, 棱70, 棱64, 棱66, 棱69, 棱68, 棱74, 棱73, F_2, G_2, H_2, I_2, J_2, K_2
Net(a, c, 棱AE, 面ABCD, 棱BF, 棱DH, 棱AE, 棱CG, 棱GH, 棱EF, 棱EH) → g, Q_2, B_3, C_3, D_3, E_3, F_3, 面25, 面27, 面26, 面28, 面29, R_2, 面30, 棱78, 棱77, 棱81, 棱84, 棱87, 棱89, 棱79, 棱80, 棱90, S_2, 棱82, 棱83, 棱91, 棱85, 棱86, 棱95, 棱88, 棱92, 棱94, 棱93, T_2, U_2, V_2, W_2, Z_2, A_3
Net(a, c, 棱AE, 面ABCD, 棱AB, 棱DH, 棱AE, 棱CG, 棱GH, 棱EF, 棱EH) → h, G_3, P_3, Q_3, R_3, S_3, T_3, 面31, 面32, 面34, 面33, 面35, H_3, 面36, 棱97, 棱96, 棱99, 棱102, 棱105, 棱107, 棱98, 棱100, 棱101, I_3, 棱112, 棱109, 棱108, 棱103, 棱104, 棱114, 棱106, 棱110, 棱113, 棱111, J_3, K_3, L_3, M_3, N_3, O_3
Net(a, c, 棱BF, 面ABCD, 棱AD, 棱CD, 棱AB, 棱EH, 棱GH, 棱DH, 棱EH) → i, U_3, F_4, G_4, H_4, I_4, J_4, 面37, 面42, 面41, 面38, 面39, V_3, 面40, 棱116, 棱115, 棱117, 棱119, 棱128, 棱131, 棱132, 棱129, 棱123, W_3, 棱124, 棱130, 棱118, 棱122, 棱120, 棱126, 棱133, 棱121, 棱127, 棱125, Z_3, A_4, B_4, C_4, D_4, E_4
Net(a, c, 棱BF, 面ABCD, 棱AD, 棱CD, 棱AB, 棱EH, 棱CG, 棱DH, 棱EH) → j, K_4, T_4, U_4, V_4, W_4, Z_4, 面43, 面48, 面46, 面44, 面47, L_4, 面45, 棱135, 棱134, 棱136, 棱138, 棱146, 棱151, 棱152, 棱147, 棱141, M_4, 棱142, 棱150, 棱137, 棱140, 棱139, 棱143, 棱148, 棱149, 棱144, 棱145, N_4, O_4, P_4, Q_4, R_4, S_4
Net(a, c, 棱BF, 面ABCD, 棱AD, 棱CG, 棱AB, 棱EH, 棱GH, 棱DH, 棱EH) → k, A_5, J_5, K_5, L_5, M_5, N_5, 面49, 面54, 面53, 面50, 面51, B_5, 面52, 棱154, 棱153, 棱155, 棱157, 棱166, 棱169, 棱170, 棱167, 棱162, C_5, 棱163, 棱168, 棱156, 棱161, 棱158, 棱159, 棱171, 棱160, 棱165, 棱164, D_5, E_5, F_5, G_5, H_5, I_5
Net(a, c, 面ABCD, 棱AB, 棱BC, 棱AE, 棱DH, 棱GH, 棱FG, 棱EF) → l, O_5, Z_5, A_6, B_6, C_6, D_6, 面55, 面56, 面60, 面58, 面57, P_5, 面59, 棱173, 棱172, 棱175, 棱176, 棱179, 棱181, 棱174, 棱187, 棱188, Q_5, 棱190, 棱189, 棱177, 棱178, 棱186, 棱185, 棱180, 棱183, 棱184, 棱182, R_5, S_5, T_5, U_5, V_5, W_5
Net(a, c, 面ABCD, 棱AD, 棱CD, 棱BF, 棱DH, 棱EF, 棱EH, 棱FG) → m, E_6, N_6, O_6, P_6, Q_6, R_6, 面61, 面63, 面62, 面64, 面65, F_6, 面66, 棱192, 棱191, 棱195, 棱198, 棱193, 棱194, 棱203, 棱202, 棱201, G_6, 棱196, 棱197, 棱204, 棱199, 棱205, 棱207, 棱200, 棱206, 棱209, 棱208, H_6, I_6, J_6, K_6, L_6, M_6

AI Drawing Prompt Reference

Draw a cube net with six square faces and their connecting lines. Start by drawing square ABCD, then add edges AE, BF, CG, and DH. Next, draw the six faces: ABCD, ADHE, ABFE, BCGF, CDHG, and EFGH. Finally, use the Net command to unfold these faces and edges into a 2D plane, showing all faces and edges of the cube.

The prompt above was compiled from the original drawing commands and is for reference only.