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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
Screw Motion Invariant Minimal Surfaces from Gluing Helicoids
Daniel Freese
We consider families of embedded, screw motion invariant minimal surfaces in which limit to parking garage structures. We derive balance equations for the nodal limit and re…
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…