MathPlotAI Logo MathPlotAI

Rotational Symmetry of Tetrahedron

Rotational Symmetry of Tetrahedron
Loading the math board and drawing, please wait…
2019-12-06 09:42
Coordinate GeometrySolid GeometryTransformation
This example demonstrates the rotational symmetry of a tetrahedron. Key mathematical concepts include rotational symmetry and solid geometry. Using GeoGebra commands such as Tetrahedron, Point, PointIn, Circle, Center, Line, Rotate, and Midpoint, the example constructs the faces and edges of the tetrahedron and illustrates its rotational symmetry. Suitable for high school or university solid geometry courses.

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