The Wolfram Language provides direct access to a large volume of mathematical data, specially organized and created for the Wolfram Language. The data is available in a wide range of forms suitable for direct integration into Wolfram Language computations.

FiniteGroup — named and enumerated finite groups

Knot — named and enumerated knots

Polyhedron — standard named polyhedra

Graph — named and enumerated graphs

Lattice — named lattices in any dimension

Direct Access by Size or Class

FiniteGroupData  ▪  KnotData  ▪  PolyhedronData  ▪  GraphData  ▪  LatticeData

Geometric Constructs

Solid — named solids (e.g. torus)

Surface — named surfaces (e.g. torus, sphere, ellipsoid)

Lamina PlaneCurve SpaceCurve

LatticeSystem PeriodicTiling NonperiodicTiling

CrystalFamily CrystalSystem CrystallographicSpaceGroup

Mathematical Objects

MathematicalFunction — named mathematical functions

IntegerSequence ContinuedFraction

FindSequenceFunction — find functional forms for integer sequences

Mathematical Structures

AxiomaticTheory — parametrized axioms, theorems, etc. for standard axiomatic theories

FunctionSpace TopologicalSpaceType ComputationalComplexityClass

Mathematical Problems and Games

FamousMathProblem FamousMathGame

External Mathematical Data

ResourceData — access mathematical data in the Wolfram Data Repository

ExampleData — built-in example and test-case data

Import — import mathematical data from files, URLs, etc.

"Graph6"  ▪  "Sparse6"  ▪  "HarwellBoeing"  ▪  "MTX"  ▪  ...

Internally Computed Mathematical Data

Integrate, DSolve, FullSimplify, ... — derive mathematical data by computation