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We show the existence of families of periodic polyhedra in spaces of constant curvature whose fundamental domains can be obtained by attaching prisms and antiprisms to Archimedean solids. These polyhedra have constant discrete curvature and are weakl
Externí odkaz:
http://arxiv.org/abs/2401.04031
Autor:
Yol, Ramazan
It is a well known phenomenon that many classical minimal surfaces in Euclidean space also exist with higher dihedral symmetry. More precisely, these surfaces are solutions to free boundary problems in a wedge bounded by two vertical planes with vary
Externí odkaz:
http://arxiv.org/abs/2112.13473
We add two new 1-parameter families to the short list of known embedded triply periodic minimal surfaces of genus 4 in $\mathbb{R}^3$. Both surfaces can be tiled by minimal pentagons with two straight segments and three planar symmetry curves as boun
Externí odkaz:
http://arxiv.org/abs/1807.08661
Akademický článek
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Publikováno v:
Manuscripta Mathematica; Nov2021, Vol. 166 Issue 3/4, p437-456, 20p
