RepresentationsOf4DSpaces 2009-04-28 19:02:54 2009-04-28 19:06:34 Topic windowed radial stereographic projection. The projection is the first good method for representing four dimensional solids as it shows the 2d walls of the 3d rooms, not only their 1d scaffolding. The edge and corner angles between walls and are all equal, preserving the 4d symmetry of the model. octacube 4-D 4D higher-dimensional space structures 4-D space 4D-space Representations of 4-D and Higher Dimensional Space Structures This is a contributed topic entry on representing four dimensional and higher space structures. \subsection{2D and 3D Representations of 4-D and Higher Dimensional Space Structures} The ``representation'' of 4-D and higher dimensional space structures is a subject of significant interest to both mathematical physicists/mathematicians and abstract art professionals or amateurs. A somewhat artistic rendering and animation of such a `representation' of a four dimensional ``{\em octacube}'' by a mathematical physicist, and also a static representation by a famous mathematician are presented in a \PMlinkexternal{related Exposition}{http://planetphysics.org/?op=getobj&from=lec&id=187} that can be accessed through this link.