Mathematics · Study 060
Tesseract
A tesseract rotating in four dimensions and projected to your screen. The inner cube swells and swaps places with the outer one.
What you're looking at
A tesseract has 16 corners and 32 edges. Each corner is a point with four coordinates. The shape is rotated in planes that involve the fourth axis, then projected twice: first from four dimensions to three with perspective, then from three to two. Edges running along the fourth direction are drawn in amber.
The idea behind it
The familiar cube within a cube picture is a perspective view, the same way a drawing of a cube looks like a small square inside a large one. Nothing is actually shrinking. As the rotation carries a far cell toward the four dimensional viewpoint, it grows and the near one recedes.
Try this
Move the pointer to add rotation in two more planes and turn the shape by hand.
