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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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2 results for “edge-bending”

Soft tilingsmath.MG

Softens tilings in 3D space, proving conjectures about polyhedral tilings.

problem Proving that all locally polyhedral tilings in 3D space can be softened.

method Developed a new edge-bending algorithm to prove the statement.

result Proved conjectures about polyhedral tilings in 3D space and the plane.

tilings polyhedral 3D space edge-bending average number of spikes

2026-04-20abs ↗pdf ↗

Soft cells, Kelvin's foam and the minimal surfaces of Schwarzcs.CG

Soft cells fill space without gaps, derived from minimal surfaces and deformed using edge bending.

problem Creating space-filling shapes without sharp corners.

method Edge bending algorithm to deform polyhedral tilings into soft tilings.

result Soft tilings derived from minimal surfaces can be continuously transformed into one another.

soft cells space-filling minimal surfaces edge bending Kelvin foam

2024-11-23abs ↗pdf ↗