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Hexaeder - Star

Hexaeder - Star
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2016-01-09 19:55
PolygonSolid GeometryGeometric Construction
In collections surface 3D /3D-Oberflächen 1
This example demonstrates a hexaeder (hexagonal star) made up of six squares. It involves concepts of polygons and quadrilaterals. Using commands like Point, Cube, Rotate, the construction of the hexaeder's faces and edges is shown. Suitable for middle school and above students to learn solid geometry.

GeoGebra Commands & Parameters

  1. Point(Circle[(3, -3, -3), Distance[(-3, -3, -3), (3, -3, -3)], Segment[(-3, -3, -3), (3, -3, -3)]]) → A
  2. Cube((-3, -3, -3), (3, -3, -3), A) → w, B, FlächeABFE, FlächeCDEF, Kante2, Kante1, Kante4, KanteAB, Kante3, KanteBF, KanteCF, KanteCD, C, Kante5, KanteDE, KanteAE, KanteEF, D, E, F, Fläche1, Fläche3, Fläche2, Fläche4
  3. Rotate(w, 45°, xAxis) → a
  4. Rotate(a, (45° * 2), zAxis) → b
  5. Rotate(a, (45° * 2), yAxis) → c