In the illustration: A tesseract (a four-dimensional cube) and the "shadow" it casts on a plane—the quasicrystal discovered by Shechtman. According to Prof. Bartal, "The fact that a quasicrystal ...

An example of a four-dimensional object is the tesseract, also known as hypercube. Just as a cube consists of six square facets, a tesseract comprises eight cubic cells.

Using the numbers I can explore the geometry of this shape. A four-dimensional cube, what is known as a tesseract, has 16 corners, 32 edges and 24 square faces, and is constructed out of eight cubes.

Science & Tech This ‘Four-Dimensional’ Tesseract Sculpture Will Expand Your Mind by Matthew Hart May 25 2021 • 10:53 AM ...

When Jeaurat and others were drawing these shapes in 1750, says Banchoff, they “were not thinking of it as an unfolded four-dimensional cube – that came one or two centuries later”.

The 4D Periodic Table of Chemical Elements is an answer to this question, having a geometric structure related to the hypercube, a four-dimensional cube. Professor Haresh Lalvani published his paper ...