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Dodeca-Cube Construction

Dodeca-Cube Construction
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2015-10-24 23:10
Solid GeometryTransformationGeometric Construction
This example constructs a dodecahedron by rotating nested cubes. It demonstrates solid geometry and geometric construction. Key mathematical concepts include solid geometry and the use of GeoGebra commands such as Cube and Mirror. Suitable for high school and above students studying solid geometry.

GeoGebra Commands & Parameters

  1. Cube(Element[pent, jc, 2 + ic - (5 * floor((1 + ic) / 5))], Element[pent, jc, 1 + ic - (5 * floor(ic / 5))], Vector[Element[dir, jc]]) → o, R, face10, face11, face12, arête13, arête14, arête15, arête16, arête17, arête18, arête19, S, arête20, arête21, arête22, arête23, arête24, T, U, V, W, face7, face8, face9
  2. Mirror(o, (0, 0, 0)) → o'