Pyramid Prism Net

Pyramid Prism Net
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2016-07-16 13:23
This GeoGebra example demonstrates the construction and visualization of a prism and a pyramid together with their planar nets (unfolded surfaces). The core mathematical concepts involve solid geometry: prisms, pyramids, faces, edges, vertices, and the relationship between a 3D polyhedron and its 2D net. Construction highlights: using GeoGebra commands such as Point to create key vertices (A, B, C, D, E, F, etc.), Polygon to build base polygons (poly1, faceDEF), Prism to generate the prism body, and Net to produce the unfolding; multiple faces (faceABHG, faceBCIH, faceACIG, faceGHI, etc.) and edges (edgeAG, edgeBH, edgeCI, etc.) are defined to clearly show the correspondence between the solid and its net. This resource is suitable for middle and high school students learning solid geometry, developing spatial visualization skills, and for teachers demonstrating polyhedron nets in mathematics classes.

GeoGebra Commands & Parameters

  1. Point(yAxis) → C
  2. Polygon(A, B, C) → poly1, c, a, b
  3. Prism(poly1, e) → f, G, edgeCI, edgeGH, edgeHI, edgeGI, H, I, faceABHG, faceBCIH, faceACIG, faceGHI, edgeAG, edgeBH
  4. Net(f, d) → g, D, P, faceDEF, faceDEKJ, faceEFML, faceDFNO, faceJKP, edgeDE, edgeEF, edgeDF, edgeDJ, E, edgeJK, edgeEK, edgeEL, edgeLM, edgeFM, edgeFN, edgeNO, edgeDO, edgeKP, edgeJP, F, J, K, L, M, N, O