Hexagonal Prism by Andrew Hacker

Hexagonal Prism by Andrew Hacker
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2016-04-15 08:48
This example demonstrates the construction of a hexagonal prism. Key mathematical concepts include polygons and solid geometry. Using commands like Polygon, Prism, and Net in GeoGebra, various faces and edges of the hexagonal prism can be constructed. Suitable for middle school and above students to learn solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 6) → poly1, a, F, b, c, d, e, f, C, D, E
  2. Prism(poly1, 15) → g, G, faceDEKJ, faceEFLK, faceAFLG, faceGHIJKL, edgeAG, edgeBH, edgeCI, edgeDJ, edgeEK, edgeFL, H, edgeGH, edgeHI, edgeIJ, edgeJK, edgeKL, edgeGL, I, J, K, L, faceABHG, faceBCIH, faceCDJI
  3. Net(g, h) → i, M, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, N, H_1, I_1, J_1, faceMNOPQR, faceMNTS, faceNOVU, faceOPZW, face2, face3, face1, O, face4, edgeMN, edgeNO, edgeOP, edgePQ, edgeQR, edgeMR, edgeMS, edgeST, edgeNT, P, edgeNU, edgeUV, edgeOV, edgeOW, edgeWZ, edgePZ, edge2, edge9, edge3, edge4, Q, edge10, edge5, edge6, edge11, edge1, edge8, edge12, edge13, edge14, edge7, R, S, T, U

AI Drawing Prompt Reference

Draw a regular hexagonal prism: start with a regular hexagon as the base, then extrude it vertically to a height of 15 units to form the prism. After that, unfold the prism into a flat net, showing all lateral faces and the base, creating a hexagonal prism net. The figure should include the complete hexagonal base, six rectangular side faces, and the unfolded faces, with vertices and edges labeled for clarity.
The prompt above was compiled from the original drawing commands and is for reference only.