不同边数的3D多边形

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2017-07-20 21:13

多边形角变换

该范例展示了不同边数的3D多边形，涉及多边形、角度等核心数学概念。通过使用Circle、Rotate、Polygon、Pyramid等GeoGebra命令，可以构造出具有不同边数的多边形，并观察其在三维空间中的变化。适合高中及以上学生或教师使用。

GeoGebra 命令及参数

Circle(zAxis, A) → c
Rotate(A, (360 * ° / Sides), zAxis) → A'
Polygon(A, A', Sides, xOyPlane) → poly1, f, i_1, B, C, D, E, F, G, H, T, g, h, i, j, k, l, m, n
Rotate(Translate[Rotate[Plane[(1, 0, 0), (0, 0, 0), (0, 1, 0)], Tilt, xAxis], Vector[(0, 0, Trans)]], Turn, zAxis) → b
Pyramid(poly1, -4) → a, I, face5, face6, edgeAI, edgeA'I, edgeBI, edgeCI, edge1, edge2, edge3, edge4, faceAA'I, edge5, edge6, faceA'BI, faceBCI, faceACI, face1, face2, face3, face4
IntersectPath(b, a) → poly2, J, O, p, q, r, s, t, g_1, h_1, j_1, k_1, K, d, L, M, N, R, S, U, V
Mirror(A', xOyPlane) → A''
Mirror(A, xOyPlane) → A'_1
Polygon(A'_1, A'', Sides, xOyPlane) → poly3, e, t_1, P, Q, W, Z, A_1, B_1, C_1, D_1, f_1, l_1, m_1, n_1, p_1, q_1, r_1, s_1
Pyramid(poly3, 4) → o, E_1, face16, face9, edge8, edge7, edge9, edge10, edge11, edge12, edge13, edge14, face7, edge15, edge16, face8, face10, face11, face12, face13, face14, face15
IntersectPath(b, o) → poly4, F_1, b_1, c_1, d_1, e_1, f_2, g_2, h_2, G_1, H_1, I_1, J_1, K_1, L_1, M_1, a_1