Virtual Models

Solid Primitives and Polyhedra

Fractal staircase

Overview

In this selection we demonstrate solid primitives, polyhedra classes available in MuPAD plot library, as well as tools available to create custom polyhedra and complex polygon-based 3D objects.

In the last part of this section we show selected examples of Waterman polyhedra that were created using SurfaceSet class. Unfortunately, explaining the nature of Waterman polyhedera, or developing a more extensive showcase of Waterman polyhedra, is beyond the scope of this project. This is just a goal for another interesting project.

Solid primitives

  1. Box
  2. Sphere
  3. Ellipsoid
  4. Cylinder
  5. Cone
  6. MuPAD Cube - construction using spheres and cylinders

Polyhedra classes

  1. Dodecahedron
  2. Hexahedron
  3. Icosahedron
  4. Octahedron
  5. Tetrahedron
  6. All polyhedra in one

SurfaceSet class

  1. SurfaceSet, MeshListType=Triangles
  2. SurfaceSet, MeshListType=TriangleFan
  3. SurfaceSet, MeshListType=TriangleStrip
  4. SurfaceSet, MeshListType=Quads (with wrong order of point coordinates)
  5. SurfaceSet, MeshListType=Quads (correct order of point coordinates)
  6. SurfaceSet, MeshListType=QuadStrip
  7. A complex model 1 developed using SurfaceSet
  8. A complex model 2 developed using SurfaceSet

Waterman Polyhedra

  1. Waterman Polyhedron W1
  2. Waterman Polyhedron W2
  3. Waterman Polyhedron W3
  4. Waterman Polyhedron W4
  5. Waterman Polyhedron W5
  6. Waterman Polyhedron W6
  7. Waterman Polyhedron W7
  8. Waterman Polyhedron W8
  9. Waterman Polyhedron W26
  10. Waterman Polyhedron W47
  11. Waterman Polyhedron W((0,0,0),7)
  12. Waterman Polyhedron, large sphere center [1,1,0] and radius 19

 

©2005 Miroslaw Majewski (created in Sep. 2004, last update 16/02/2006)