3 papers
math.DG2024
Periodic Polyhedra in Spaces of Constant Curvature
Christina Duffield, Daniel Freese, William Holt +2
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…
math.DG2021
Dihedralization of Minimal Surfaces in
Ramazan Yol
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…
math.DG2018
Two New Embedded Triply Periodic Minimal Surfaces of Genus 4
Daniel Freese, Matthias Weber, A. Thomas Yerger +1
We add two new 1-parameter families to the short list of known embedded triply periodic minimal surfaces of genus 4 in . Both surfaces can be tiled by minimal pentago…