This is a never before seen projection of the 5 dimensional cube into 3 dimensions.
What is a 5 dimensional cube? Glad you asked :-)
Well there are many ways to try and understand what the geometers of the 19 century figured out about higher dimensional geometry. One of the easiest (though not necessarilly the most accurate) ways is by analogy to the dimensions that we are familiar with. In the third dimension we are familiar with the Cube, and we can see that it has similarities with the two dimensional Square. By moving a square at right angles to it plane we can create a cube. Likewise (theoretically) by moving a cube at right angles to the 3d space it occupies we can create a 4D hypercube, and by moving a 4D hypercube at right angles to the 4D space it occupies we can create a 5D hypercube.
GREAT BOOKS FOR UNDERSTANDING HYPERSPACE
If you really want to understand higher dimensional forms it is essential to get many different insights into what they are. I highly recommend a little book published in 1913 called A Primer of Higher Space; by Claude Bragdon
Alternatively there is another old book you may like called Flatland that uses a story set in a two dimensional world to make many higher dimensional concepts more approachable, and you can download it for free from the links at the bottom of the page here https://en.wikipedia.org/wiki/Flatland
The video below may also help with the basics of higher dimensions being explained by Carl Sagan.
More about this particular form ~
I love the way simply by its 5 dimensional symmetries it transcends the duality between the dodecahedral and cubic forms in 3D space. I also love the way it 'folds up' so that all the lines remain identical lengths.
It is based on my 4D toroidal hypercube model
that keeps all 8 cubes equally distorted by the projection down into 3D. Here instead of 8 cubes we have 10 hypercubes equally distorted.
I take no responsibility for the fact that soon after making this model a crop circle appeared with the 2D form.
I also take no responsibility for accidentally opened wormholes into other universes, accelerated spiritual evolution, increased powers of manifestation, or any other strange effects that may be noticed in proximity to higher dimensional geometries!