Imagine a three dimensional object which has square projections in
three orthogonal directions, as the figure shows. A cube has this
property, but it is not the only answer and there are plenty of
examples like a regular tetrahedron and a cuboctahedron. Note that a
regular tetrahedron looks square from each of its edges, because
a tetrahedron is obtained by selecting every other vertices of a cube.
Please enjoy them. |
Fractal Imaginary Cubes
Rotate and examine with a Java applet!