3D Cube Construction

3D Cube Construction
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2018-01-24 16:18
This example demonstrates the construction of a 3D cube in space, highlighting the relationships between its faces, edges, and vertices. Key math concepts include solid geometry, coordinate geometry, transformations, and optimization. The construction uses GeoGebra commands like Point, Cube, vertices (A, B, C, a, D, E, F, G, H), faces (faceABCD, faceADHE, etc.), and edges (edgeAD, edgeAB, etc.). Suitable for high school and university students learning 3D geometry and mathematical education.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. 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