Art in Shadows of the Six-Dimensional Cube

(Proceedings pages 257–262)

The three-dimensional model of more-dimensional cubes can be
constructed on a rotational axis and on the joining central point
in symmetrical form, based on a regular polygon. An orthogonal
projection of this kind of model of the six-dimensional cube shows
an image, like the projection of the cube in the direction of its
diagonal, perpendicularly to the plane of the image. The projection
of any derived (6>j>2)-dimensional solid fits to the network of
triangles joined by their sides in this method. The hull of the
6-cube’s 3-model may be the Archimedean truncated octahedron as
well and the top view of the 3-model of a derivative 3-cube shows
a special shadow casted by parallel beam of light. Based on all
this, a reconstruction maintaining the topology of the forms made
up of cubes, like hinted by the pictures for instance of V. Vasarely
and T. F. Farkas, is possible. These hold latent unit mosaics of
tessellations and in this manner may inspire to construct geometrical
structures of further creations.

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