Bott periodicity

motivic homotopy theory

binomial theorem

4 classical Lie structures

duality

finite exact sequences

divisions of
everything

God

8-cycle of
divisions

ways of
figuring
things out

4 choice
frameworks

prayer

entropy

six operations

6 criteria

information geometry

properties
of life

Mandelbrot set

finite fields

algebraic geometry

foursome

Catalan numbers

Riemann hypothesis

3 polytopes

root systems

Weyl groups

Coxeter groups

homology

cohomology

4 geometries

6 specifications

Yoneda lemma

Yates index

computability theory

arithmetical
hierarchy

threesome

Jacobi identity

associativity

category theory

affine
geometry

projective
geometry

conformal
geometry

symplectic
geometry

Lagrangian
mechanics

Hamiltonian
mechanics

logic

variables

equivalence

measurement

counting

eightfold
way

snake
lemma

sevensome

visual
complex
analysis

homotopy
type theory

gemoetric
algebra

Gauss-Bonnet

Euler
characteristic

Betti number

simplex

cross
polytope

hypercube

Generalized
Gauss-Bonnet

Atiyah-Singer
index

Grassmanian

exceptional
Lie structures

triviality

linear
algebra

tensor

set theory
axioms

6 visualizations

automata
theory

circle folding

spinors

coordinate
system

-1 simplex

set theory

models

real

complex

quaternion

Cayley-Dickson
construction

composition
algebra

homotopy groups

algebraic
topology

Young tableaux

representation
theory

symmetric group

general linear group

Schur-Weyl duality

Stone duality

A ↔ B

A→B ↔ B→A

1→A ↔ A→1

adjunction

1→AB ↔ AB→1

A ↔ 0-A

A-0 ↔ 1-A

anharmonic group

cross-ratio

homography