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Pyramids and Their Nets

Pyramids and Their Nets
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2020-12-10 21:23
Solid GeometryGeometric Construction
This example demonstrates the geometric shape of a pyramid and its net. It involves the concept of a pyramid in solid geometry, using GeoGebra commands such as Point, Polygon, Pyramid, and Net to visually illustrate the construction process of a pyramid. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Polygon(A, B, n, xOyPlane) → poly1, f, r, s, t, a, b, c, d, e, f_1, g_1, g, h_1, C, D, E, F, G, H, I, J, K, i, L, M, N, O, P, Q, R, S_{2}, T, j, k, l, m, p, q
  3. Pyramid(poly1, h) → u, V, face5, face6, face7, face8, face9, face10, face11, face28, face30, face32, faceABV, face34, face36, edgeAV, edgeBV, edgeCV, edgeDV, edge1, edge2, edge3, edge4, faceBCV, edge5, edge6, edge7, edge8, edge9, edge10, edge11, edge55, edge59, edge63, faceCDV, edge67, edge71, faceADV, face1, face2, face3, face4
  4. Net(u, o) → v, U, G_1, edge40, edge42, edge43, edge45, edge46, edge47, edge48, edge14, edge50, edge51, H_1, edge53, edge54, edge57, edge58, edge61, edge62, edge65, edge66, edge69, edge70, I_1, edge73, edge74, J_1, Z_1, B_2, D_2, F_2, H_2, J_2, W, L_2, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, Z, T_1, U_1, V_1, W_1, A_2, C_2, E_2, G_2, I_2, K_2, A_1, M_2, face25, face12, face14, face15, face16, face17, face18, face19, face20, B_1, face21, face22, face23, face24, face13, face26, face27, face29, face31, face33, C_1, face35, S, edgeUW, edgeWZ, edge17, edge20, edge23, edge26, edge29, edge32, D_1, edge35, edge38, edge41, edge44, edge12, edge49, edge52, edge56, edge60, edge64, E_1, edge68, edge72, edge13, edge15, edge16, edge18, edge19, edge21, edge22, edge24, F_1, edge25, edge27, edge28, edge30, edge31, edge33, edge34, edge36, edge37, edge39

AI Drawing Prompt Reference

Draw a pyramid and its net. Start by creating a point B on the x-axis, then use the polygon command to construct the base of the pyramid, followed by the pyramid command to create the pyramid itself, and finally use the net command to draw the net of the pyramid, showing its faces and edges.
The prompt above was compiled from the original drawing commands and is for reference only.