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Solid Shapes

Solid Shapes
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2018-10-26 16:20
Solid GeometryGeometric Construction
This example demonstrates various solid shapes such as cones, cubes, cuboids, cylinders, and spheres. Key mathematical concepts include the basic properties and characteristics of solid geometry. Using GeoGebra commands like Intersect, Point, Circle, and Cylinder, these solid shapes can be constructed. Suitable for students at the junior high school level and above to learn solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Point(xAxis) → E
  3. Circle(C, E) → c
  4. Cylinder(c, 3) → b, b_2, b_3
  5. Point(xAxis) → F
  6. Polygon(A, D, F, G) → q1, a_1, d, f, g
  7. Prism(q1, 4) → e, H, edgeAH, edgeDI, edgeFJ, edgeGK, edgeHI, edgeIJ, edgeJK, edgeHK, I, J, K, faceADIH, faceDFJI, faceFGKJ, faceAGKH, faceHIJK
  8. Polygon(L, M, N) → t1, n, l, m
  9. Prism(t1, 3) → h, O, edgeNQ, edgeOP, edgePQ, edgeOQ, P, Q, faceLMPO, faceMNQP, faceLNQO, faceOPQ, edgeLO, edgeMP
  10. Polygon(R, S, 5) → poly1, i, j, k, p, q, T, U, V
  11. Prism(poly1, 2) → a, W, face1, face5, edgeRW, edgeSZ, edge1, edge2, edge3, edgeWZ, edge5, edge6, Z, edge7, edge4, A_1, B_1, C_1, faceRSZW, face2, face3, face4
  12. Polygon(D_1, E_1, 3) → poly2, r, s, t, F_1
  13. Pyramid(poly2, 4) → o, G_1, face6, face8, face7, edge8, edge9, edge10
  14. Polygon(H_1, I_1, 6) → poly3, f_1, M_1, g_1, h_1, i_1, j_1, k_1, J_1, K_1, L_1
  15. Pyramid(poly3, 3) → u, N_1, edge13, edge14, edge15, edge16, face9, face11, face12, face13, face14, face10, edge11, edge12
  16. Circle(O_1, P_1) → c_1
  17. Cone(c_1, 4) → v, d_1, w
  18. Polygon(Q_1, R_1, 4) → poly4, l_1, m_1, n_1, p_1, S_1, T_1
  19. Prism(poly4, 2) → b_1, U_1, edge17, edge18, edge19, edge20, edge21, edge23, edge24, edge22, V_1, W_1, Z_1, face15, face17, face18, face16, face19

AI Drawing Prompt Reference

Draw a 3D solid shape consisting of a cylinder, a prism, and a pyramid. The cylinder is defined by a circle and height, the prism by a base and height, and the pyramid by a triangular base and apex. Ensure the shapes are correctly connected in 3D space with consistent proportions.
The prompt above was compiled from the original drawing commands and is for reference only.