This is due to the cubes being situated somewhere along the w axis. But if we're viewing in 3D, why would the 3D cubes get sliced to 2D? The first big realization is that the object you’re looking at is just a bunch of 2D slices of the tesseract's 8 cubes stuck together! This is what a 4D cube would look like if it moved through our 3D universe! 😮Īgain, just go crazy playing with all the sliders for a bit. Now that we’re familiar with the basic structure of the 4D cube, we're ready to observe its slices. Again, a similar motion can be seen with squares in a 3D cube projection. Rotate on one plane and you see the cubes growing and shrinking as they move in and out of the center. This is all analogous to the 2 squares connected by trapezoids you see in the projection of a 3D cube.

The outer cube appears larger because it's near us on the w axis, and the inner cube appears smaller because it's further away.Īll 6 connecting cubes are moving from near to far so they get skewed into trapezoidal prisms along the way. To see how this affects the tesseract’s 8 cubes, set all the rotation sliders to 0°. Remember that due to projection, points that are further away on the w axis will shrink towards the center of the 3D image. To start, just play around with all the rotation sliders to see how the projection morphs around.

Blender 4d