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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.

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4 results for “T-surfaces”

Isometric Deformations of Discrete and Smooth T-surfacesmath.DG

Researchers describe isometric deformations of T-hedra and T-surfaces.

problem Understanding the isometric deformations of discrete and smooth T-surfaces.

method Synthetic and analytic descriptions of T-hedra and T-surfaces, providing parametrizations of isometric deformations.

result Explicit parametrization of isometric deformations of T-hedra and T-surfaces.

T-hedra T-surfaces isometric deformations discrete surfaces smooth surfaces

2023-02-17abs ↗pdf ↗

Shape Reconstruction of Trapezoidal Surfacescs.GR

Reconstruct trapezoidal surfaces from point clouds.

problem Reconstructing trapezoidal surfaces from point clouds.

method Kinematic approach: find axis direction, polygonal path, and reconstruct surface.

result Reconstructs trapezoidal surfaces from point clouds.

shape reconstruction trapezoidal surfaces kinematic approach discrete T-surface point cloud

2023-12-14abs ↗pdf ↗

The chiral gyrating H'-T surface family: construction from the dual qtz--qzd nets and existence proof using a toroidal Weierstrass methodmath.DG

Paper constructs and proves existence of chiral triply-periodic minimal surfaces.

problem Existence of chiral triply-periodic minimal surfaces of genus 4.

method Construction based on dual qtz--qzd nets, existence proof using Weierstrass method on branched torus.

result Family of chiral triply-periodic minimal surfaces of genus 4 constructed and proved to exist.

minimal surfaces chirality triplply-periodic genus 4 Weierstrass method

2025-12-20abs ↗pdf ↗

On tunnel number one knots that are not (1,n)math.GT

We show that the bridge number of a $t$ bridge knot in $S^3$ with respect to an unknotted genus $t$ surface is bounded below by a function of the distance of the Heegaard splitting induced by the $t$ bridges. It follows that for any natural number $n$ , there is a tunnel number one knot in $S^3$ that is not $(1,n)$ .

2006-06-09abs ↗pdf ↗