Geometric Library

A complete catalog of coordination geometries from 1D through 4D, with distortion families, eigenvalue spectra, and cross-references to where each shape appears in nature.

619 Geometries
47 Families
7 Dimensions
4 Cross-ref Domains

Explore by Family

Every cavity in the library, grouped by geometric family. Each variant is a distinct circuit element with its own internal standing-wave pattern — open one to see its 3D geometry and dimensional frequency sweep side by side.

Conversations

Video conversations walking through Time Ledger Theory, the geometric cipher, and dimensional geometry. Each conversation links to the corresponding shapes and papers.

Circuit Language

The geometric circuit language built from these shapes. Browse the seven foundational frequency expressions, the leaf-letter alphabet discovered by clustering, and the full notation atlas — navigate from root to leaf at your own pace.