Umbrella Holder
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This example demonstrates the geometric construction of an umbrella holder. It involves concepts such as circles, cylinders, and solid geometry. Using GeoGebra commands like Intersect, Circle, and Rotate, various parts of the umbrella holder can be constructed. Suitable for high school or university-level solid geometry studies.
GeoGebra Commands & Parameters
Intersect(yAxis, zAxis) → A_{2}Circle(A_{2}, 0.3, zAxis) → cIntersect(xAxis, c, 1) → B_{2}Line(B_{2}, zAxis) → gRotate(g, 25°, f_{3}) → g'Intersect(g', h) → C_{2}Intersect(g', p) → DCylinder(C_{2}, D, 0.1) → a, d_{3}, e_{3}, bIntersect(yAxis, f_{3}) → EIntersect(f_{3}, c, 2) → FLine(F, zAxis) → iRotate(i, -25°, yAxis) → i'Intersect(i', h) → GIntersect(i', p) → HCylinder(G, H, 0.1) → j, k, q, lIntersect(yAxis, c, 1) → ILine(I, zAxis) → mRotate(m, -25°, r) → m'Intersect(m', h) → JIntersect(m', p) → KCylinder(K, J, 0.1) → n, s, t, oIntersect(r, c) → L, MLine(L, zAxis) → f_1Rotate(f_1, 25°, xAxis) → g_1Intersect(g_1, h) → NIntersect(g_1, p) → OCylinder(N, O, 0.1) → u, c_1, d_1, vIntersect(xAxis, c, 2) → PLine(P, zAxis) → h_1Rotate(h_1, -25°, f_{3}) → i_1Intersect(i_1, h) → QIntersect(i_1, p) → RCylinder(R, Q, 0.1) → w, e_1, k_1, a_1Intersect(f_{3}, c, 1) → SLine(S, zAxis) → j_1Rotate(j_1, 25°, yAxis) → l_1Intersect(l_1, h) → TIntersect(l_1, p) → UCylinder(T, U, 0.1) → b_1, p_1, q_1, m_1Intersect(yAxis, c, 2) → VLine(V, zAxis) → n_1Rotate(n_1, 25°, r) → r_1Intersect(r_1, h) → WIntersect(r_1, p) → ZCylinder(W, Z, 0.1) → o_1, s_1, t_1, u_1Line(M, zAxis) → f_2Rotate(f_2, -25°, xAxis) → g_2Intersect(g_2, h) → A_1Intersect(g_2, p) → B_1Cylinder(A_1, B_1, 0.1) → v_1, c_2, d_2, w_1Point(yAxis) → E_1Circle(E, E_1) → h_2Point(l_1) → C_1Cone(C_1, T, 0.3) → a_2, e_2, b_2Point(e_2) → CSegment(T, C) → fRotate(C, 180°, l_1) → ARotate(A, 120°, l_1) → BSegment(T, A) → dSegment(T, B) → eRotate(l1, 45°, zAxis) → l1'Rotate(l1, 90°, zAxis) → l1'_{1}Rotate(l1, 135°, zAxis) → l1'_{2}Rotate(l1, 180°, zAxis) → l1'_{3}Rotate(l1, 225°, zAxis) → l1'_{4}Rotate(l1, 270°, zAxis) → l1'_{5}Rotate(l1, 315°, zAxis) → l1'_{6}Rotate(l1, 360°, zAxis) → l1'_{7}
AI Drawing Prompt Reference
Draw a 3D umbrella holder. The figure consists of multiple cylinders connected by rotation and intersection. The construction order is to first determine key points, then generate cylinders from these points, and finally combine them into a whole. The figure should resemble a series of interconnected cylinders, similar to an umbrella holder.
The prompt above was compiled from the original drawing commands and is for reference only.