polytopes

A tour in the wonderland of math with python.

Polyhedral Computation Interface

A tool for building and visualizing polytopes.

Symbolic (analytical) polyhedron projection by Fourier-Motzkin elimination using SymPy

gasp! - GPU Accelerated Simplical Polynomial !ntegrator

A renderer for polytopes.

ResPol is a software to compute projections of Newton polytopes of important polynomials in algebraic geometry such as the resultant defined for a given polynomial system.

Tools for Calabi-Yau hypersurfaces in normal toric varieties associated to triangulations of reflexive polytopes in the Kreuzer-Skarke lists.

MQM2019 Poster

The Julia distribution of the POlyhedron Representation Transformation Algorithm (PORTA).

Genetic algorithm for generating reflexive polytopes.

Discrete Hopf Fibrations

A new way to teach higher mathematics by classifying its paradoxes, not resolving them: the integers 0–9 as shapes (the base, from the book The Shape of Understanding), the towers of higher math they point up to, and the coin — two sides and an edge — on every floor. Machine-checked; an earlier AI-built table program is archived with its audit.

Blender Addon to build 4D Polytopes with a Building Engine 🧩

Snap together 256 polyhedra in your browser (Platonic, Archimedean, Johnson, Catalan, Kepler-Poinsot stellations, prisms, parallelohedra, aperiodic sets, 3D+ bridges), print their paper nets, and build real 4D polytopes, tesseract to 600-cell, one cell at a time. Twin of Rhombiverse. Next.js + Three.js, 7 languages.

Rhombiverse by DICTO — history up to 2026-10-08. Now one app with Kaleidohedra: code at DICTOR-Master/kaleidohedra, live at rhombiverse.vercel.app

Enumeration of 2-level polytopes

The classification of regular polytopes in every dimension: lean-eval platonic_classification, solved and CI-recorded 2026-07-21 (UNICO/NOUS pipeline)

A GUI application for generating and visualizing polyhedra using geometric operations.