AI Chat AI Image Generator AI Video Text to Speech

Density of Binary Disc Packings: Playing with Stoichiometry

06/25/2020

∙

by Thomas Fernique, et al.

∙

∙

We consider the packings in the plane of discs of radius 1 and √(2)-1 when the proportions of each type of disc are fixed. The maximal density is determined and the densest packings are described. A phase separation phenomenon appears when there is an excess of small discs.

page 2

page 3

page 4

research

∙ 02/17/2020

Density of Binary Compact Disc Packings

A disc packing in the plane is compact if its contact graph is a triangu...

0 Thomas Fernique, et al. ∙

research

∙ 07/29/2021

Density of Binary Disc Packings:Lower and Upper Bounds

We provide, for any r∈ (0,1), lower and upper bounds on the maximal dens...

0 Thomas Fernique, et al. ∙

research

∙ 11/05/2022

Density of triangulated ternary disc packings

We consider ternary disc packings of the plane, i.e. the packings using ...

0 Thomas Fernique, et al. ∙

research

∙ 10/11/2015

Printed Perforated Lampshades for Continuous Projective Images

We present a technique for designing 3D-printed perforated lampshades, w...

0 Haisen Zhao, et al. ∙

research

∙ 08/07/2022

The 2-center Problem in Maximal Outerplanar Graph

We consider the problem of computing 2-center in maximal outerplanar gra...

0 Hsiu-Fu Yeh, et al. ∙

research

∙ 02/02/2020

Caterpillars on three and four leaves are sufficient to reconstruct normal networks

While every rooted binary phylogenetic tree is determined by its set of ...

0 Simone Linz, et al. ∙

research

∙ 04/05/2014

Density Estimation via Adaptive Partition and Discrepancy Control

Given iid samples from some unknown continuous density on hyper-rectangl...

0 Kun Yang, et al. ∙