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Quaternion Rotation using Quaternion Matricies

Quaternion Rotation using Quaternion Matricies
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2017-02-27 06:12
VectorSolid GeometryMatrixTransformation
This example demonstrates 3D spatial rotation transformations using quaternion matrices. Key math concepts include quaternions, matrix operations, and 3D geometry transformations. Construction highlights involve commands like Sphere, PointIn, Vector, Invert, Pyramid, and objects such as P, B29, B30, etc. Suitable for high school and above students learning spatial geometry transformations and quaternion applications.

GeoGebra Commands & Parameters

  1. Sphere(B, 1) → d
  2. PointIn(d) → A
  3. Vector(B, A) → u
  4. Invert(Rot) → invRot
  5. Pyramid(C, D, E, P) → a, faceCDE, edgeEP, faceCDP, faceDEP, faceCEP, edgeCD, edgeDE, edgeCE, edgeCP, edgeDP
  6. Pyramid(E', C', D', P') → b, faceC'D'E', edgeD'P', faceC'E'P', faceC'D'P', faceD'E'P', edgeC'E', edgeC'D', edgeD'E', edgeE'P', edgeC'P'