From the cube to the hypercube (parallel projection)
The animation illustrates the prism with whom we get a cube from a square and a hypercube from a cube (in the very first passages of the construction we get a line segment from a point and a square from a line segment). At every step the object involved moves in a direction perpendicular to the space where it is. You can see this construction in another animation, based on the representation with Schlegel diagram.
See also Beyond the four dimensions.
© matematita
animazione di Gian Marco Todesco
The image belongs to the sections...:
4D geometry (Animations)
Animations of the exhibitions (From the exhibitions of matematita)
Projections of a hypercube (4D geometry)
Further information:
http://www.toonz.com/personal/todesco
