Step 07 / Now I get it

The pattern was there all along

  1. A square is two connected lines.
  2. A cube is two connected squares.
  3. A tesseract is two connected cubes.

Every dimension is just the one below it, copied and connected. You can't picture the whole tesseract at once — and that's fine. Neither can anyone.

Generalizable patterns

  • n dimensions → 2ⁿ vertices in a hypercube
  • Each new dimension copies the previous shape and connects corners
  • 4D objects cast 3D 'shadows' we can perceive