Islamic Geometric Pattern Symmetry Demo

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2019-12-31 16:59

This example demonstrates the principles of symmetry in Islamic geometric patterns, involving core math concepts like symmetry, polygon construction, transformation, and integral. It uses commands like Polygon, Line, Point, Segment in GeoGebra for construction, suitable for high school students and math enthusiasts learning geometric drawing and pattern design.

GeoGebra Commands & Parameters

Polygon(E, F, 7) → veelhoek1, f, I, J, K, g, h, i, j, k, l, G, H
Polygon(E_1, F_1, 7) → veelhoek1_1, f_1, I_1, J_1, K_1, g_1, h_1, i_1, j_1, k_1, l_1, G_1, H_1
Polygon(E_2, F_2, 7) → veelhoek1_2, f_2, I_2, J_2, K_2, g_2, h_2, i_2, j_2, k_2, l_2, G_2, H_2
Polygon(E_3, F_3, 7) → veelhoek1_3, f_3, I_3, J_3, K_3, g_3, h_3, i_3, j_3, k_3, l_3, G_3, H_3
Polygon(E_4, F_4, 7) → veelhoek1_4, f_4, I_4, J_4, K_4, g_4, h_4, i_4, j_4, k_4, l_4, G_4, H_4
Polygon(L, M, 7) → veelhoek2, m, P, Q, R, n, p, q, r, s, t, N, O
Polygon(L_1, M_1, 7) → veelhoek2_1, m_1, P_1, Q_1, R_1, n_1, p_1, q_1, r_1, s_1, t_1, N_1, O_1
Polygon(L_2, M_2, 7) → veelhoek2_2, m_2, P_2, Q_2, R_2, n_2, p_2, q_2, r_2, s_2, t_2, N_2, O_2
Polygon(L_3, M_3, 7) → veelhoek2_3, m_3, P_3, Q_3, R_3, n_3, p_3, q_3, r_3, s_3, t_3, N_3, O_3
Polygon(L_4, M_4, 7) → veelhoek2_4, m_4, P_4, Q_4, R_4, n_4, p_4, q_4, r_4, s_4, t_4, N_4, O_4
Line(S, T) → a
Point(a) → U
Point(a) → V
Segment(U, V) → b
Polygon(W, Z, A_1, B_1) → vierhoek1, w, z_1, a_1, b_1

AI Drawing Prompt Reference

Draw an Islamic geometric pattern with four identical heptagons symmetrically arranged around a central point. Then draw the axes of symmetry for these heptagons and two line segments connecting the vertices of the heptagons to form a quadrilateral.

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