Hexomino Cube Nets

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2022-04-07 02:37

This example demonstrates the 11 cube nets among 35 hexominoes. Students can learn about the unfolding and folding of cubes, and understand geometric transformations and symmetry. GeoGebra commands used include Join, Sequence, Cube, Net, If, and Textfield. Suitable for middle school and above students to study solid geometry.

GeoGebra Commands & Parameters

Join({{0}, TextToUnicode[palabra2]}) → palabra2cod
Join({{0}, TextToUnicode[entrada]}) → entrada2
Sequence(If[entrada2(k) > 96, entrada2(k) - 32, entrada2(k)], k, 1, Length[entrada2]) → entrada3, {0}
Join({{0}, TextToUnicode[palabra]}) → palabracod
Cube(A, B, C) → cub, D, caraCDHG, caraEFGH, aristaAD, aristaAB, aristaBC, aristaCD, aristaAE, aristaDH, aristaEH, aristaEF, E, aristaBF, aristaFG, aristaCG, aristaGH, F, G, H, caraABCD, caraADHE, caraABFE, caraBCGF
Net(cub, t, caraABCD, aristaAB, aristaFG, aristaEH, aristaAE, aristaBF) → net26, I, R, S, T, U, V, caraIJKL, caraILNM, caraSTUV, caraJKPO, caraKLRQ, J, caraQRST, aristaIL, aristaIJ, aristaJK, aristaKL, aristaLN, aristaMN, aristaIM, aristaST, aristaTU, K, aristaUV, aristaSV, aristaJO, aristaOP, aristaKP, aristaKQ, aristaQR, aristaLR, aristaQT, aristaRS, L, M, N, O, P, Q
Net(cub, t, caraABCD, aristaAB, aristaAE) → net27, M_1, V_1, W_1, Z_1, A_2, B_2, cara1, cara2, cara4, cara3, cara5, N_1, cara6, arista2, arista1, arista4, arista7, arista10, arista12, arista3, arista5, arista6, O_1, arista18, arista17, arista16, arista8, arista9, arista19, arista11, arista14, arista15, arista13, P_1, Q_1, R_1, S_1, T_1, U_1
Net(cub, t, caraABCD, aristaAB, aristaCD, aristaAE) → net28, C_2, L_2, M_2, N_2, O_2, P_2, cara7, cara8, cara10, cara9, cara11, D_2, cara12, arista21, arista20, arista23, arista26, arista28, arista30, arista22, arista24, arista25, E_2, arista38, arista37, arista36, arista27, arista29, arista34, arista32, arista33, arista35, arista31, F_2, G_2, H_2, I_2, J_2, K_2
Net(cub, t, caraABCD, aristaAB, aristaBC, aristaCG, aristaFG, aristaEH, aristaAE) → net15, Q_2, B_3, C_3, D_3, E_3, F_3, cara13, cara14, cara17, cara18, cara15, R_2, cara16, arista40, arista39, arista42, arista43, arista45, arista47, arista41, arista51, arista53, S_2, arista55, arista52, arista54, arista57, arista56, arista44, arista48, arista46, arista49, arista50, T_2, U_2, V_2, W_2, Z_2, A_3
Net(cub, t, caraABCD, aristaAB) → net16, G_3, P_3, Q_3, R_3, S_3, T_3, cara19, cara20, cara21, cara22, cara23, H_3, cara24, arista59, arista58, arista62, arista64, arista67, arista69, arista60, arista70, arista73, I_3, arista61, arista63, arista75, arista65, arista66, arista76, arista68, arista72, arista74, arista71, J_3, K_3, L_3, M_3, N_3, O_3
Net(cub, t, caraABCD, aristaAE) → net17, U_3, F_4, G_4, H_4, I_4, J_4, cara25, cara27, cara26, cara28, cara29, V_3, cara30, arista78, arista77, arista81, arista84, arista87, arista89, arista79, arista80, arista93, W_3, arista82, arista83, arista94, arista85, arista86, arista95, arista88, arista91, arista92, arista90, Z_3, A_4, B_4, C_4, D_4, E_4
Net(cub, t, caraABCD, aristaBC) → net9, K_4, T_4, U_4, V_4, W_4, Z_4, cara31, cara33, cara32, cara34, cara35, L_4, cara36, arista97, arista96, arista100, arista103, arista105, arista107, arista98, arista99, arista111, M_4, arista101, arista112, arista113, arista102, arista104, arista114, arista106, arista109, arista110, arista108, N_4, O_4, P_4, Q_4, R_4, S_4
Net(cub, t, caraABCD, aristaAB, aristaBC) → net11, A_5, J_5, K_5, L_5, M_5, N_5, cara37, cara38, cara39, cara41, cara40, B_5, cara42, arista116, arista115, arista119, arista120, arista123, arista125, arista117, arista126, arista129, C_5, arista118, arista121, arista122, arista133, arista132, arista131, arista124, arista128, arista130, arista127, D_5, E_5, F_5, G_5, H_5, I_5
Net(cub, t, caraABCD, aristaAB, aristaBC, aristaCG, aristaEF, aristaEH, aristaAE) → net3, O_5, Z_5, A_6, B_6, C_6, D_6, cara43, cara44, cara48, cara47, cara45, P_5, cara46, arista135, arista134, arista137, arista138, arista140, arista142, arista136, arista148, arista151, Q_5, arista152, arista149, arista144, arista145, arista150, arista139, arista143, arista141, arista147, arista146, R_5, S_5, T_5, U_5, V_5, W_5
Net(cub, t, caraABCD, aristaAB, aristaBC, aristaGH, aristaEH) → net7, E_6, N_6, O_6, P_6, Q_6, R_6, cara49, cara50, cara51, cara53, cara52, F_6, cara54, arista154, arista153, arista157, arista158, arista161, arista163, arista155, arista164, arista166, G_6, arista156, arista159, arista160, arista171, arista170, arista169, arista162, arista165, arista168, arista167, H_6, I_6, J_6, K_6, L_6, M_6
Net(cub, t, caraABCD, aristaAB, aristaBC, aristaAE) → net20, S_6, D_7, E_7, F_7, G_7, H_7, cara55, cara56, cara60, cara58, cara57, T_6, cara59, arista173, arista172, arista175, arista176, arista179, arista181, arista174, arista187, arista188, U_6, arista190, arista189, arista177, arista178, arista186, arista185, arista180, arista183, arista184, arista182, V_6, W_6, Z_6, A_7, B_7, C_7
If(fallos < 6, true, false) → test
Sequence(Segment[(11 + k, 28.2), (12 + k, 28.2)], k, 1, 16, 1.5) → casillas, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
Sequence(Take[palabra, k, k], k, 1, 11) → listaLetras, {"I", "M", "A", "G", "I", "N", "A", "T", "I", "O", "N"}
Textfield(entrada) → CasillaDeEntrada

AI Drawing Prompt Reference

Illustrate 11 cube nets formed from hexominoes, showing how each net consists of multiple faces connected by edges. Start by drawing a cube, then unfold it into a flat pattern to display the arrangement of its faces. Each net should be clearly depicted to allow for comparison of their shapes and structures.

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