adinkra-math

adinkra-math

West African symbolic encoding + SUSY adinkras for the browser — TypeScript/npm port.

Bridges two meanings of "adinkra":

• West African (Akan) visual symbols encoding philosophical concepts
• Physics adinkras — graphical tools for studying representations of supersymmetry algebras

Install

npm install adinkra-math

API

Symbol

import { createSymbol, getBuiltinSymbols, SymbolType } from 'adinkra-math';

const circle = createSymbol(SymbolType.CIRCLE, 0, 0, 40);
const builtins = getBuiltinSymbols(); // 9 built-in: Gye Nyame, Sankofa, Fawohodie, ...

Glyph Composition

import { compose, CompositionOp } from 'adinkra-math';

const stacked = compose(glyph1, glyph2, CompositionOp.STACK);
const nested = compose(glyph1, glyph2, CompositionOp.NEST);

Encoding

import { encodeConcept, distance, nearestConcept, knn } from 'adinkra-math';

const wisdom = encodeConcept('wisdom', 6);
const strength = encodeConcept('strength', 6);
const d = distance(wisdom, strength);

Supersymmetry

import { createAdinkra, verifyChromotopology, bosonFermionSplit } from 'adinkra-math';

const adinkra = createAdinkra(4); // rank-4: 8 nodes, 16 edges
const valid = verifyChromotopology(adinkra); // true
const { bosons, fermions } = bosonFermionSplit(adinkra);

Topology

import { connectedComponents, eulerCharacteristic, genus, makeTopoGraph, topoAddEdge } from 'adinkra-math';

const g = makeTopoGraph(4);
topoAddEdge(g, 0, 1);
const cc = connectedComponents(g);
const chi = eulerCharacteristic(4, 6, 4); // 2
const gen = genus(chi); // 0

License

MIT