MathPlotAI Logo MathPlotAI

Rotational Symmetry of Tetrahedron by Anthony OR 柯志明 (2)

Rotational Symmetry of Tetrahedron by Anthony OR 柯志明 (2)
Loading the math board and drawing, please wait…
2014-10-21 11:46
Solid GeometryTransformationGeometric Construction
In collections Rotations Flip & turn Rotational Symmetries of Platonic Solids
This example demonstrates the rotational symmetry of a tetrahedron. Key math concepts include symmetry, geometric transformations, and solid geometry. It utilizes GeoGebra commands and objects such as Tetrahedron, Point, PointIn, Circle, Center, Line, Rotate, and Midpoint. Suitable for high school students learning solid geometry or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Tetrahedron(A, B, xOyPlane) → a, C, edge4, edge5, edge6, D, face1, face2, face3, face4, edge1, edge2, edge3
  2. Point({edge4, edge5, edge6}) → E
  3. PointIn(face1) → F
  4. Circle(A, B, D) → e
  5. Circle(B, C, D) → f
  6. Circle(C, A, D) → g
  7. Circle(A, B, C) → h
  8. Center(h) → J
  9. Line(E, F) → b
  10. Rotate(face1, (-α), b) → face1'
  11. Rotate(face2, (-α), b) → face2'
  12. Rotate(face3, (-α), b) → face3'
  13. Rotate(face4, (-α), b) → face4'
  14. Midpoint(edge6) → K
  15. Midpoint(edge5) → L
  16. Midpoint(edge4) → M
  17. Midpoint(edge2) → N
  18. Midpoint(edge1) → O
  19. Midpoint(edge3) → P