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🔢 Catalan Numbers — Structures, One by One (2D)

Step through every balanced-parenthesis string, full binary tree, or below-diagonal lattice path counted by the Catalan numbers Cn = (2n)!/((n+1)!n!), for n from 1 to 6.

Combinatorics & Graph Theory2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

See the actual objects Catalan numbers count: step through every balanced-parenthesis string, full binary tree, or below-diagonal lattice path for n up to 6, or view them all at once in a grid.

combinatoricsCatalan numbersbinary treeslattice pathsenumeration

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install