Polygons (2), polyhedra (3), polychora (4-D), and polytopes (∀) can be represented as a graph — the same network-skeletal structure that models

- Facebook friends
- computer networks
- loop quantum gravity
- spin foams
- Ising magnetism
- molecules
- subway maps
- scientific collaboration
- artistic composition
- skitter plots of the WWW
- economies
- ecosystems
- and crystal lattices.

For example, this is a skeletal graph of a cube:

So are these:

And here’s a skeletal graph of a 4-cube (tesseract).

### Triangle = Blood.

And now for the news. A **triangular face **of a polytope has the exact same topology as **the blood types**.

That’s weird, right?

**EDIT:** Oops, the bottom arrows should have been `1 → 3`

. Followed by `2 → 1`

and `3 → 1`

. Also the blood-types observation is not weird, it’s just a statement of the power set topology. ‘Scuse me, while I kiss this guy.

Tags: 4-D, basic facts, basic_facts, crystals, cubes, Facebook, facts, geometry, graph theory, loop quantum gravity, math, mathematics, maths, polytopes, shapes, topological space, topology

## Leave a Reply