Android Logo Geometric Construction

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2019-07-23 23:04

This example demonstrates how to construct the Android logo geometrically using GeoGebra. It involves core mathematical concepts such as 2D vectors, angles, area, circles, geometry, trigonometric functions, derivatives, natural numbers, coordinates, and correlation. The construction utilizes commands like Polygon, LineBisector, Vector, CircleArc, Circle, Line, Intersect, Mirror, and Segment. It is suitable for high school and above students to understand geometric constructions and the application of mathematical concepts.

GeoGebra Commands & Parameters

Polygon(B, A, 4) → poly1, f, g, h, i, C, D
LineBisector(A, B) → j
Vector(A, B) → u
Vector(C, A) → v
CircleArc(G, F, E) → c
Circle(H, I) → d
Line(J, j) → k
LineBisector(L, K) → l
CircleArc(V, K, L) → e
LineBisector(O, P) → m
Intersect(m, h) → W
CircleArc(Z, T, U) → p
LineBisector(K, R) → n
Mirror(e, n) → e'
Polygon(L, K, R, S) → q1, l_1, k_1, r, s
Line(H, m) → q
Intersect(c, q) → A_1,
Line(A_1, G) → t
Vector(G, A_1) → w
Segment(A_1, B_1) → a
Polygon(P, O, T, U) → q2, p_1, o_1, t_1, u_1
Line(C, B) → b
Intersect(b, q) → E_1
Vector(B, C) → v_1
CircleArc(C_1, N, M) → c_1
Polygon(N, C, M) → t1, m_1, n_1, c_2
Mirror(P, j) → P'
Mirror(O, j) → O'
Mirror(T, j) → T'
Mirror(U, j) → U'
Polygon(P', O', T', U') → q2', p', o', t', u'
Mirror(p, j) → p'_1
Mirror(L, j) → L'
Mirror(K, j) → K'
Mirror(R, j) → R'
Mirror(S, j) → S'
Polygon(L', K', R', S') → q1', l', k', r', s'
Mirror(e', j) → e''
Mirror(e, j) → e'_1
Mirror(M, j) → M'
Mirror(N, j) → N'
Mirror(C, j) → C'_1
Segment(N', C'_1) → g_1
Mirror(N, j) → N'_1
Mirror(M, j) → M'_1
Mirror(C_1, j) → D_1
CircleArc(D_1, M'_1, N') → d_1
Polygon(M'_1, N', D) → t2, d_2, m'_1, n'
Mirror(d, j) → d'
Mirror(A_1, j) → F_1
Mirror(B_1, j) → G_1
Segment(F_1, G_1) → a'
Segment(C, M) → h_1
Segment(C, N) → i_1
Segment(M, N) → j_1
Mirror(M, j) → M'_2
Mirror(N, j) → N'_2
Segment(M'_2, N'_2) → q_1