Edges are Amazing

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2020-02-06 18:03

Polygon Solid Geometry

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This example demonstrates the relationship between edges and vertices of polygons through construction and transformation, showcasing dynamic geometric changes. Core math concepts include polygon construction, translation, the relationship between circles and triangles, and the orthocenter. Construction highlights from the summary involve commands like Polygon and Prism, along with objects T, K_3, J_3, K_2, G_3, F_3, E_3, D_3, B_3, A_3, F_2, E_2, D_2, C_2, B_2, A_2, Z_1, W_1, V_1, O_1, N_1, I_1, H_1, G_1, F_1, E_1, E, F, G, H, J, K, L, M, N, O, Q, R, S, U. Suitable for high school and above, covering solid geometry, coordinate geometry, and geometric transformations for teaching and exploration.

GeoGebra Commands & Parameters

Polygon(A, B, C, D) → poly1, f, g, h, i
Polygon(J_1, Q, W_2, Z_2, M, N, O, D_3, E_3, F_3, G_3, N_1, R, L, G_2, Q_2, R_2, S_2, T_2, U_2, H_2, I_2, J_2, T, K_2, L_2, M_2, D_2, N_2, E_2, F_2, O_2, P_2, W_1, P, J_3, K_3, V_1, Z_1, B_2, A_2, C_2, O_1, I_1, H_1, S, G_1, F_1, E_1, D_1, I_3, K, J, H, G, F, B_3, E, C_1, B_1, A_1, Z, W, V, U, A_3, H_3, V_2) → poly2, j, t, a, b, c, d, e, f_1, g_1, h_1, i_1, k, j_1, k_1, l_1, m_1, n_1, p_1, q_1, r_1, s_1, t_1, l, a_1, b_1, c_1, d_1, e_1, f_2, g_2, h_2, i_2, j_2, m, k_2, l_2, m_2, n_2, p_2, q_2, r_2, s_2, t_2, a_2, n, b_2, c_2, d_2, e_2, f_3, g_3, h_3, i_3, j_3, k_3, p, l_3, m_3, n_3, p_3, q_3, r_3, s_3, t_3, a_3, q, r, s
Prism(poly2, u) → v, V_5, G_6, face128, face88, face89, face87, face85, face86, face129, face95, face74, face72, H_6, face73, face94, face93, face92, face90, face91, face96, face98, face99, face100, I_6, face101, face102, face124, face109, face108, face107, face106, face105, face103, face104, J_6, face123, face122, face121, face120, face119, face117, face118, face138, edge184, edge173, K_6, edge174, edge137, edge204, edge175, edge145, edge146, edge202, edge199, edge200, edge201, L_6, edge170, edge171, edge172, edge144, edge143, edge142, edge141, edge157, edge169, edge193, M_6, edge194, edge195, edge196, edge197, edge198, edge185, edge186, edge187, edge140, edge188, N_6, edge189, edge149, edge190, edge148, edge147, edge191, edge192, edge154, edge139, edge138, O_6, edge155, edge153, edge151, edge152, edge150, edge156, edge158, edge159, edge160, edge161, P_6, edge162, edge183, edge203, edge168, edge167, edge166, edge165, edge164, edge163, edge182, W_5, Q_6, edge181, edge180, edge179, edge178, edge177, edge176, edge205, edge207, edge208, edge209, R_6, edge210, edge211, edge212, edge213, edge214, edge215, edge216, edge217, edge218, edge219, S_6, edge220, edge221, edge222, edge223, edge224, edge225, edge226, edge227, edge228, edge229, T_6, edge230, edge231, edge232, edge233, edge234, edge235, edge236, edge237, edge238, edge239, U_6, edge240, edge241, edge242, edge243, edge244, edge245, edge246, edge247, edge248, edge249, V_6, edge250, edge251, edge252, edge253, edge254, edge255, edge256, edge257, edge258, edge259, W_6, edge260, edge261, edge262, edge263, edge264, edge265, edge266, edge267, edge268, edge269, Z_6, edge270, edge271, edge272, edge206, A_7, B_7, Z_5, C_7, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7, A_6, M_7, N_7, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7, B_6, W_7, Z_7, A_8, B_8, C_8, D_8, E_8, F_8, G_8, H_8, C_6, I_8, J_8, K_8, L_8, M_8, N_8, O_8, P_8, Q_8, face115, D_6, face114, face70, face71, face116, face83, face82, face84, face136, face135, face137, E_6, face112, face111, face113, face81, face80, face79, face77, face78, face97, face110, F_6, face130, face131, face132, face133, face134, face126, face125, face127, face75, face76
Polygon(K_1, P_1, M_1, L_1) → q1, b_3, c_3, d_3, e_3
Prism(q1, w) → o_1, U_1, edge9, edge12, edge11, edge10, edge13, edge15, edge16, edge14, C_3, L_3, M_3, face7, face9, face8, face6, face10

AI Drawing Prompt Reference

Draw a polygon and create a prism based on it. Then, draw a smaller polygon using four points and create another prism based on this small polygon to showcase the dynamic relationship between the polygons and prisms.

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