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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.

169,341 papers · 148 categories

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4 results for “IC-nets”
Incircular nets and confocal conicsmath.MG

IC-nets on confocal conics found in grid-like straight lines.

problem Understanding the geometric properties of grid-like straight lines with incircle quadrilaterals.
method Investigation of checkerboard IC-nets in plane and higher dimensions, using Laguerre geometry and 9 inspheres incidence theorem.
result Vertices of checkerboard IC-nets lie on confocal conics.
IC-netsconfocal conicscheckerboardincircle quadrilateralsLaguerre geometry
2016-02-15abs ↗pdf ↗
On mutually diagonal nets on (confocal) quadrics and 3-dimensional websmath.DG

The study constructs non-planar nets and webs on quadrics and Minkowski space.

problem Constructing non-planar nets and webs on quadrics and Minkowski space.
method Introducing canonical parametrisations, exploiting connections with classical deformations, and using Laguerre geometric notions.
result Existence and construction of octahedral grids and webs of surfaces.
netswebsquadricsMinkowski spaceLaguerre geometry
2019-08-02abs ↗pdf ↗
On a discretization of confocal quadrics. II. A geometric approach to general parametrizationsmath.DG

A geometric approach discretizes confocal quadrics, leading to novel discrete nets.

problem Discretization of confocal quadrics.
method Geometric characterization and factorizable orthogonal coordinate systems.
result Explicit computation of coordinate functions for discrete confocal quadrics.
confocal quadricsdiscretizationgeometric approachorthogonal coordinatesJacobi elliptic functions
2017-08-22abs ↗pdf ↗