Cold Hammer R&D

Science and freedom ⚛️🔭💾🚀🇺🇸 Operated by Cold Hammer R&D LLC

[Cold Hammer R&D @RealColdHammer]

🚀New preprint now available on https://t.co/1NbiEiKJe5!

"Radial Dual Lattice Graphs via Admissible Inversion: Exact Folding Operators for Eisenstein, Hurwitz, and E₈ Lattices — A Clifford-Algebraic Cl(8) Formulation"

Advancing the Tri-Quarter Framework with admissible hyperspherical inversion to construct unified radial dual lattice graphs across the Eisenstein, Hurwitz, and E₈ lattices in a Clifford-algebraic Cl(8) setting. This delivers exact folding operators, bijective dualities, recursive constructions, and powerful symmetry exploitation for graph algorithms, computational geometry, clustering, parallel computing, and equivariant data structures—developed in collaboration with colleagues at Quantum Gravity Research (@emergencetheory).

📄 Read it here: https://t.co/yZ8nOcqkGO

Pushing first-principles lattice geometry and exact dualities for next-generation mathematical computing and symmetry-aware algorithms. Feedback welcome!

#ComputerScience #TriQuarterFramework #TQF #Mathematics #CliffordAlgebras #E8Lattice #GraphTheory #ComputationalGeometry #LatticeTheory #GeometricAlgebra #ScientificComputing #AlgorithmDesign #DiscreteMathematics

[Cold Hammer R&D @RealColdHammer]

🚀 Just dropped v4 of my new preprint on Zenodo!

"The Tri-Quarter Framework: Radial Dual Triangular Lattice Graphs with Exact Bijective Dualities and Equivariant Encodings via the Inversive Hexagonal Dihedral Symmetry Group 𝕋₂₄"

Unlocking a powerful radial dual lattice with unified coords, exact (no-approx) bijections, inversive symmetries, and trihexagonal 6-coloring for massive speedups in graph algos, clustering, parallel computing & more. Real benchmarks: ~1.6-1.8× path mirroring, 3.5-4× symmetry clustering, up to ~8× GPU relaxation!

📄 Read it here: https://t.co/PvLx5WCmx3
💻 Code & toolbox: https://t.co/HQD8iiSCdw

Advancing symmetric data structures for classical + non-classical computing. Feedback welcome!

#ComputerScience
#TriQuarterFramework #TQF #Math #GraphTheory #ComputationalGeometry

[Cold Hammer R&D @RealColdHammer]

Preliminary "mark 1" experimental results where my TQF-ANN model competes against industry standard models with no data augmentation 🔥☠️🤣
https://t.co/xWgqzGFTgk

[Cold Hammer R&D @RealColdHammer]

New in Tri-Quarter Toolbox: Tri-Quarter Framework Neural Network (TQF-NN) benchmark is live and ready for experimentation! 💾🗲🚀

TQF-NN benchmark on rotated MNIST (ℤ₆ orbits), ~650k params, radial dual triangular lattice graphs + ℤ₆/D₆/𝕋₂₄ symmetry exploitation vs FC-MLP/CNN/ResNet baselines. First-principles equivariant upgrade. Experimental geometric deep learning work in progress. More to come!

https://t.co/D19bXKQka7

#TriQuarter #Tricorder #EquivariantAI #GeometricDL

[Cold Hammer R&D @RealColdHammer]

Got an attention span of 42 minutes? Check out this fun 'podcast-like' discussion of our new Tri-Quarter Framework's Radial Dual Triangular Lattice Graphs and the Inversive Hexagonal Dihedral Symmetry Group 𝕋24!

[Cold Hammer R&D @RealColdHammer]

https://t.co/o92dM6p9BV

New preprint titled "The Tri-Quarter Framework: Radial Dual Triangular Lattice Graphs with Exact Bijective Dualities and Equivariant Encodings via the Inversive Hexagonal Dihedral Symmetry Group 𝕋24"

#ComputerScience #Mathematics #ComputationalGeometry #ScientificComputing #Tricorder #Geometry #Topology #ComplexNumbers #FirstPrinciples #PursuitOfKnowledge #Escher

[Cold Hammer R&D @RealColdHammer]

https://t.co/pa7aLsWPcA

My July 4th 🎇🇺🇸🎆 preprint is available (my second research paper after an eight-year break)

#ComputerScience #Mathematics #SignalProcessing #Geometry #Topology #ComplexNumbers #Escher #FirstPrinciples #PursuitOfKnowledge #Tricorder #907Represent #208Represent

[Cold Hammer R&D @RealColdHammer]

Solid post. Feynman knew how to play ball. 🏀🚀

A first principles approach to science, engineering, and math is key. Go for it. Question everything. Don't be afraid to explore via the scientific method. Experiment from different angles. Accept what is useful, reject what isn't. Break things down to their fundamental components, and build up from there.

In doing so, some "experts" will attack you instead of your ideas. But who cares. Don't give up. Work hard and have fun along the way.

My favorite Feynman quote: "Science is the belief in the ignorance of experts".

[Cold Hammer R&D @RealColdHammer]

https://t.co/EQ75K49SaN

Got an attention span of 6 minutes (and 49 seconds)? Check out this brief overview of my Tri-Quarter Framework - An upgrade to the complex numbers!

[Cold Hammer R&D @RealColdHammer]

https://t.co/5AeBOKAfkm

Got an attention span longer than 6 minutes? Get your game face on and jump into this 2.5-hour compsci/math deep-dive for serious learners! Let's have fun with first principles and upgrade the complex plane - Check out my Tri-Quarter Framework video!

#ComputerScience #Mathematics #MathEducation #STEM #ComplexNumbers #FirstPrinciples #Tricorder

[Cold Hammer R&D @RealColdHammer]

https://t.co/Su7qKh51Gl

New preprint available (my first research paper after an eight-year break)

#ComputerScience #Mathematics #Geometry #Topology #ComplexNumbers #Escher #FirstPrinciples #PursuitOfKnowledge #Tricorder #907Represent #208Represent

[Cold Hammer R&D @RealColdHammer]

#ScientificElitism #DoctorDoom #Avengers

[Cold Hammer R&D @RealColdHammer]

#friendship