Interactive model of a 3-dimensional Rep-Tile constructed by a procedure described in the 2024 paper 'Rep-Tiles' by Ryan Blair, Patricia Cahn, Alexandra Kjuchukova, Hannah Schwartz.
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Oct 1, 2025 - JavaScript
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geometric-topology
Here are 8 public repositories matching this topic...
A 4D geometric topology approach to high-speed cryptography.
javascript cryptography tesseract serverless-architectures cryptojs high-speed iot-security diffusion encryption-decryption edge-computing aes-256-cbc cipher-algorithm strict-avalanche-criterion zero-latency 4-dimensional geometric-topology cpu-native hyper-cube lossless-encryption hyper-swap
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Apr 24, 2026 - HTML
To derive the spin-1/2 angular momentum of fermions ( s = ℏ / 2 ) as an emergent property of a genus-1 (toroidal) wormhole topology connecting the particle's event horizon.
python research topology geometry open-science scientific-computing differential-geometry simulations spin particle-physics theoretical-physics wormholes mathematical-physics topological-defects tamesis quantum-foundations phenomenology geometric-topology spinors riemann-cartan-geometry
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Jan 21, 2026 - HTML
The Poincaré Conjecture: A Reframed Optimization of the Hamilton-Perelman Proof
topology differential-geometry ricci-flow mathematical-physics riemannian-geometry geometric-analysis 3-manifolds geometric-topology mathematical-education poincare-conjecture hamilton-perelman-theory pedagogical-mathematics mathematical-exposition proof-architecture thermodynamic-framework millennium-prize-problems reframed-optimization open-source-mathematics research-optimization
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Dec 31, 2025
Este repositório contém a validação computacional da hipótese de Viagem no Tempo baseada em Topologia Möbius, integrada ao framework da Física Unificada (TARDIS).
python research topology information-theory spacetime open-science scientific-computing computational-physics differential-geometry simulations complex-systems theoretical-physics mathematical-physics tamesis phenomenology geometric-topology mobius-strip non-orientable-surfaces
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Jan 17, 2026 - HTML
Lean 4 constructive combinatorial Poincare program: validated Pachner and vertex-link frontier with explicit open global-descent boundary.
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Aug 29, 2026 - Lean
A geometry-first physics research program: the complete, adversarially-audited record of the bet that physics is the geometry of a 3-manifold (time emergent as modular flow) — including the honest negative result and the standalone Heegaard Floer d-invariant math that stands on its own.
reproducible-research open-science general-relativity quantum-gravity mathematical-physics operator-algebras low-dimensional-topology geometric-topology heegaard-floer-homology foliations
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Jul 27, 2026 - Python
Scripts, certificates, and papers reducing a homeomorphism question for Lidman–Piccirillo 4-manifolds to the exotic S²×S² problem, plus a certificate-complete computation of π₁ via coset enumeration and Knuth–Bendix completion.
reproducible-research computational-mathematics gap-system knuth-bendix fundamental-group low-dimensional-topology geometric-topology 4-manifolds exotic-smooth-structures coset-enumeration
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Aug 28, 2026 - GAP
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