Spiral Alexandra H
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EQUILATERAL TRIANGLE SPIRAL
This example demonstrates the construction of a spiral. Key mathematical concepts include function graphs and vectors. Using GeoGebra commands such as Polygon, Distance, and OrthogonalLine, complex geometric shapes can be constructed. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Polygon(C, A, 3) → poligon1, f, g, h, DDistance(A, h) → distanţăAhOrthogonalLine(A, h) → iIntersect(i, h) → BSegment(A, B) → jPolygon(A, B, 3) → poligon2, k, l, m, EIntersect(f, l) → FPolygon(A, F, 3) → poligon3, n, p, q, GIntersect(m, p) → HPolygon(A, H, 3) → poligon4, r, s, t, IIntersect(q, s) → JPolygon(A, J, 3) → poligon5, a, b, c, KIntersect(t, b) → LPolygon(A, L, 3) → poligon6, d, e, f_1, MIntersect(c, e) → NPolygon(A, N, 3) → poligon7, g_1, h_1, i_1, OIntersect(f_1, h_1) → PPolygon(A, P, 3) → poligon8, j_1, k_1, l_1, QIntersect(i_1, k_1) → RPolygon(A, R, 3) → poligon9, m_1, n_1, p_1, SIntersect(l_1, n_1) → TPolygon(A, T, 3) → poligon10, q_1, r_1, s_1, UIntersect(p_1, r_1) → VPolygon(A, V, 3) → poligon11, t_1, a_1, b_1, WPolygon(C, F, B) → t1, b_2, c_1, f_2Polygon(F, H, E) → t2, e_1, f_3, h_2Polygon(H, J, G) → t3, g_2, h_3, j_2Polygon(L, J, I) → t4, i_2, l_2, j_3Polygon(N, K, L) → t5, l_3, n_2, k_2Polygon(P, N, M) → t6, m_2, p_2, n_3Polygon(O, R, P) → t7, p_3, o, r_2Polygon(T, Q, R) → t8, r_3, t_2, q_2Polygon(S, V, T) → t9, t_3, s_2, vIntersect(s_1, a_1) → ZPolygon(U, Z, V) → t10, v_1, u, z_1Point(g) → A_1Polygon(Z, A_1, W) → t11, w, z_2, d_1Polygon(A, B, D) → t12, d_2, a_2, b_3Polygon(B, F, A) → t13, a_3, b_4, f_4Polygon(F, H, A) → t14, a_4, f_5, h_4Polygon(A, J, H) → t15, h_5, a_5, j_4Polygon(A, L, J) → t16, j_5, a_6, l_4Polygon(A, L, N) → t17, n_4, a_7, l_5Polygon(A, P, N) → t18, n_5, a_8, p_4Polygon(A, R, P) → t19, p_5, a_9, r_4Polygon(T, R, A) → t20, a_{10}, t_4, r_5Polygon(V, T, A) → t21, a_{11}, v_2, t_5Polygon(V, Z, A) → t22, a_{12}, v_3, z_3Polygon(A_1, Z, A) → t23, a_{13}, c_2, z_4Intersect(d_1, a_{13}) → B_1
AI Drawing Prompt Reference
Draw a spiral pattern consisting of multiple triangles and lines, constructed step-by-step by calculating distances and orthogonal lines. Start from a central point and expand outward, with each triangle sharing a vertex with the previous one and gradually increasing in size. The pattern is made up of nested triangles and connecting segments, forming a complex geometric structure that demonstrates the application of function graphs and vectors.
The prompt above was compiled from the original drawing commands and is for reference only.