A visual library of mathematics
Ten areas, drawn as a floor plan — from order and sets through algebra, analysis, geometry, combinatorics, number theory, and dynamics. Open the atlas, or walk into the first room.
0 / 82 rooms seen · 10 areas
The ten areas
Area I
Order, numbers, sets, categories, models — the language everything else is written in.
0/15 rooms · 6 pathways
Area II
Groups, polynomials, linear maps, rings, and the homology that measures exactness.
0/15 rooms · 5 pathways
Area III
Inner products, distributions, measure, the complex plane, calculus, and open sets.
0/17 rooms · 6 pathways
Area IV
Affine combinations, Euclidean simplices, and the metric that angles remember.
0/3 rooms · 1 pathways
Area V
Counting, simple graphs, walks, and the connectivity they encode.
0/6 rooms · 3 pathways
Area VI
Arithmetic functions, number fields, valuations, and modular forms.
0/8 rooms · 4 pathways
Area VII
Measures that total one, independence, kernels, and the theorems that turn noise into a bell.
0/5 rooms · 2 pathways
Area VIII
Turing machines, recursive functions, and the Akra–Bazzi law of recurrences.
0/4 rooms · 2 pathways
Area IX
Simplicial sets, homology, model categories, and condensed mathematics.
0/5 rooms · 2 pathways
Area X
Measure-preserving maps, mixing, and the entropy of a transformation.
0/4 rooms · 2 pathways