Shell Logo
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This GeoGebra example demonstrates the geometric construction of the Shell logo. Key mathematical concepts include vectors, rotation, circles, and angles. Using commands like LineBisector, Midpoint, Vector, and Rotate, the essential elements of the logo are constructed. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
LineBisector(A, B) → fMidpoint(A, B) → CVector(A, C) → uOrthogonalVector(u) → vRotate(A, (-(120°)), E) → A'_1Vector(E, A'_1) → wRotate(H, 45°, F) → H'_2Line(F, H'_2) → mMirror(H, f) → H'OrthogonalLine(F, f) → jLine(I, j) → kIntersect(f, k) → MIntersect(f, j) → GVector(M, G) → cCircleArc(N, H', H) → eIntersect(e, m) → Q, RMirror(D, f) → D'Segment(A, D') → gSegment(A, E) → hSegment(F, E) → iVector(F, H) → aOrthogonalVector(a) → bMirror(F, f) → F'CircleArc(N, F', F) → dRotate(Q, (-(23.5°)), N) → H'_1Rotate(H'_1, (-(23.5°)), N) → PRotate(P, (-(23.5°)), N) → P'Angle(A'_1, E, A) → γAngle(H, F, H'_2) → αLine(E, m) → lLine(Q, i) → nLine(N, j) → qRotate(P', (-(23.5°)), N) → P''Rotate(H'_1, (-(5°)), N) → TRotate(P, (-(5°)), N) → P'_1Rotate(P', (-(5°)), N) → P''_1Line(I, f) → rIntersect(n, r) → JIntersect(r, g) → KPolygon(F, Q, J, O, L, D', A, E) → polígono1, f_1, q_1, j_1, o_1, l_1, d', a_1, e_1Mirror(P'', f) → P'''Mirror(F, f) → F'_1Mirror(Q, f) → Q'_1Mirror(J, f) → J'Mirror(O, f) → O'Mirror(L, f) → L'Mirror(D', f) → D''Mirror(A, f) → A'Mirror(E, f) → E'Polygon(F'_1, Q'_1, J', O', L', D'', A', E') → polígono1', f'_1, q'_1, j', o', l', d'', a', e'Polygon(P'', P''', G) → t1, g_1, p'', p'''Intersect(f, n) → UCircleArc(S, J', J) → pRotate(J, (-(6°)), S) → J'_1Rotate(J'_1, (-(6°)), S) → VRotate(V, (-(6°)), S) → V'Polygon(H'_1, T, J'_1) → t2, j'_1, h'_1, tPolygon(P, P'_1, V) → t3, v_1, p_1, p'_1Polygon(P', P''_1, V') → t4, v', p', p''_1Mirror(P', f) → P''_2Mirror(P''_1, f) → WMirror(V', f) → V''Polygon(P''_2, W, V'') → t4', v'', p''_2, w_1Mirror(P, f) → P'_2Mirror(P'_1, f) → ZMirror(V, f) → V'_1Polygon(P'_2, Z, V'_1) → t3', v'_1, p'_2, z_1Mirror(H'_1, f) → A_1Mirror(T, f) → T'Mirror(J'_1, f) → B_1Polygon(A_1, T', B_1) → t2', b_1, s, t'CircleArc(C_1, L, L') → c_1CircleArc(D_1, D', D) → d_1Polygon(L, L', D, D') → c1, l_2, h_1, d_2, i_1Mirror(H'_1, f) → E_1Intersect(j, n) → F_1Mirror(F_1, f) → G_1Polygon(F_1, J, O, O', J', G_1) → polígono2, k_1, j_2, o_2, m_1, n_1, r_1Segment(L, L') → s_1
AI Drawing Prompt Reference
Draw the Shell logo by first constructing the perpendicular bisector f of line segment AB, then finding the midpoint C, creating vector u from A to C, and its orthogonal vector v. Rotate point A 120 degrees around point E to get A'_1, and rotate point H 45 degrees around point F to get H'_2. Continue with these steps to build the various components of the logo, ultimately forming a complete Shell logo.
The prompt above was compiled from the original drawing commands and is for reference only.