created: 20260506230000000
modified: 20260506230000000
tags: ResearchStack Compression Hutter CAD Geometry Torus
title: Pathological Manifold Torus
type: text/vnd.tiddlywiki

! Pathological Manifold Torus

3D slice of a hypertorus used as a PIST pathological manifold for Hutter Prize
compression geometry. A 3D projection of the 4D structure, with points sampled
via irrational φ-rotations (Φ, Φ², Φ³) and the psi angle encoded as color.

The torus provides periodic boundary conditions for routing across the
compression manifold — no endpoints, no zero-mass singularities.

!! Links

* [[Hutter Prize Compression]]
* [[Pathological Menger-Horn Composite]]
* [[Pathological PIST Shells]]

!! Durable Source

`../../3-Mathematical-Models/cad_models/hypertorus_slice.scad`