AXA Logo
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This GeoGebra example demonstrates how to create the AXA logo using vectors and geometric construction. Key mathematical concepts include vectors, angles, and geometric construction. Commands such as LineBisector, Vector, Intersect are used to construct the various parts of the logo. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
LineBisector(A, B) → mVector(A, B) → uOrthogonalVector(u) → vLineBisector(J, D) → hIntersect(m, h) → OOrthogonalLine(B, u, xOyPlane) → gLine(A, B) → sOrthogonalLine(A, s) → bOrthogonalLine(D, b) → fLine(T, f) → tOrthogonalLine(A_1, b) → rIntersect(g, r) → CPolygon(C, I, L, H) → q2, c_1, i_1, l_1, h_1Line(M, h_1) → jIntersect(j, t) → NLine(E_1, j) → aOrthogonalLine(J, m) → iOrthogonalLine(K, i) → lOrthogonalLine(F, l) → nIntersect(l, n) → QPolygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2Intersect(j, n) → PLine(R, j) → kLine(E, k) → pLine(G, k) → qIntersect(j, a) → WIntersect(a, n) → ZLine(F_1, a) → dIntersect(d, n) → B_1Intersect(p, t) → C_1Intersect(k, t) → SLine(D_1, B_1) → eLine(C_1, e) → f_1Intersect(n, m) → ULine(U, e) → g_1Line(V, e) → j_1Line(E_1, j_1) → k_1Line(F_1, j_1) → m_1OrthogonalLine(G_1, b) → n_1OrthogonalLine(H_1, b) → p_1Intersect(q, p_1) → I_1Intersect(q, n_1) → J_1Intersect(p_1, f_1) → K_1Intersect(f_1, n_1) → L_1Intersect(d, p_1) → M_1Intersect(d, n_1) → N_1Intersect(k_1, p_1) → O_1Intersect(k_1, n_1) → P_1Intersect(g_1, f) → Q_1Intersect(j_1, f) → R_1OrthogonalLine(C_1, t, xOyPlane) → q_1OrthogonalLine(D_1, h, xOyPlane) → r_1OrthogonalLine(S, n_1, xOyPlane) → s_1OrthogonalLine(N, n_1, xOyPlane) → t_1OrthogonalLine(F_1, t, xOyPlane) → d_1OrthogonalLine(E_1, t, xOyPlane) → e_1Intersect(q_1, f) → S_1Intersect(r_1, f) → T_1Intersect(s_1, f) → U_1Intersect(t_1, f) → V_1Intersect(e_1, f) → W_1Intersect(d_1, f) → Z_1Polygon(S_1, T_1, D_1, G, F, E, C_1) → poly1, f_2, g_2, h_2, g_3, f_3, e_2, i_2Polygon(J_1, L_1, K_1, I_1) → q3, j_2, k_2, l_2, m_2Polygon(C_1, Z, B_1, D_1) → q4, n_2, z_1, p_2, q_2Polygon(Q_1, R_1, V, U) → q5, r_2, s_2, v_1, u_1Polygon(U_1, V_1, N, P, R, S) → poly2, t_2, b_2, n_3, p_3, r_3, s_3Intersect(m_1, n) → A_2Polygon(W_1, Z_1, A_2, B_2, E_1) → poly3, w_1, c_2, d_2, h_3, i_3Polygon(F_1, B_1, Z, E_1) → q6, j_3, k_3, z_2, l_3Polygon(M_1, O_1, P_1, N_1) → q7, m_3, o_1, q_3, t_3
AI Drawing Prompt Reference
Construct a logo using vectors and geometric principles by drawing angle bisectors and creating orthogonal vectors, then use these elements to form intersections and parallel lines, ultimately creating a complex shape composed of multiple polygons to demonstrate vector and geometric construction concepts.
The prompt above was compiled from the original drawing commands and is for reference only.