13 citations · 35 across the 18 of their papers we have counts for
22 papers
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…
On Alan Schoen's I-WP Minimal Surface
Dami Lee, Matthias Weber, A. Tom Yerger
We discuss in detail Alan Schoen's I-WP surface, an embedded triply periodic minimal surface of genus 4 with cubical symmetries. We exhibit various geometric realizations of this s…
Biplanar Foldings
Matthias Weber, Jiangmei Wu
We are introducing a general framework for the construction of polyhedra and simplicial comlexes that are {\em bifoldable}, i.e. foldable into two two different planes. This vastly…
An orthorhombic deformation family of Schwarz' H surfaces
Hao Chen, Matthias Weber
The classical H surfaces of H. A. Schwarz form a 1-parameter family of triply periodic minimal surfaces (TPMS) that are usually described as close relatives to his more famous P su…
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…
A new deformation family of Schwarz' D surface
Hao Chen, Matthias Weber
We prove the existence of a new 2-parameter family o of embedded triply periodic minimal surfaces of genus 3. The new surfaces share many properties with classical orthorhombic…