Tetrahedron

Med
Lrg

Description :

White tetrahedra are rotated about axes through the edge centres.
Black tetrahedra are rotated about axes through the face centres.
view animation (1.0Mb)





Tetrahedron

Med
Lrg

Description :

A tetrahedron is rearranged into its dual (in a round about way.)
view animation (1.4Mb)





Tetrahedron

Med
Lrg

Description :

A tetrahedron is rearranged into its dual. The rotation axes are half
way along the line joining a face centre to a vertex.
view animation (1.9Mb)





Cube

Med
Lrg

Description :

A cube is rearranged into a stellation of the rhombic dodecahedron.
The tetrahedra overlap.
view animation (1.9Mb)





Cube

Med
Lrg

Description :

A cube is rearranged into a rhombic dodecahedron. The rhombic
dodecahedron has a hollow centre the same shape and size as the
original cube.
view animation (2.4Mb)





Cube

Med
Lrg

Description :

The cube faces are the bases of pyramids with an apex at the cube
centre. The pyramids travel through the cube until their bases meet and
and they form a
stellation of the rhombic dodecahedron which has half the volume of the
cube. Finally the pyramids lie on the outside of the cube forming a
rhombic dodecahedron with twice the volume of the cube (discounting the
hollow cube inside of it.)
view animation (2.9Mb)





Dodecahedron

Med
Lrg

Description :

The dodecahedron faces are the bases of pyramids with an apex at the
dodecahedron centre. The pyramids travel through the dodecahedron
until their bases coincide
with the opposite faces, pausing briefly at the halfway stage where the
bases meet.
view animation (3.0Mb)
Here are some of the interesting stages as VRML models, having
convex hulls of an





Dodecahedron

Med
Lrg

Description :

The dodecahedron faces are the bases of pyramids with an apex at the
dodecahedron centre. The pyramids travel through the dodecahedron
until their bases coincide
with the opposite faces, pausing briefly at the halfway stage where the
bases meet. The pyramids rotate through a halfturn about their axis
as they travel to the other side.
view animation (2.4Mb)
Here are some of the interesting stages as VRML models.




