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Cube and Tetrahedrons

Cube and Tetrahedrons
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2017-07-01 21:05
PolygonSolid GeometryGeometric Construction
This example demonstrates the geometric construction and relationships between a cube and tetrahedrons. It involves core math concepts like solid geometry, polygons, and point/face intersection calculations. Construction highlights include commands like Point, Intersect, Cube, Polygon, Pyramid. Suitable for high school students learning solid geometry or educational demonstrations.

GeoGebra Commands & Parameters

  1. Point(zAxis) → A
  2. Intersect(xAxis, zAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Polygon(H, A, C) → poly1, c, h, a_1
  6. Pyramid(poly1, (-(-4.6188))) → b, I, faceAHI, faceACI, faceCHI, edgeHI, edgeAI, edgeCI
  7. Pyramid(poly1, -2.3094) → d, J, faceAHJ, faceACJ, faceCHJ, edgeHJ, edgeAJ, edgeCJ