3 citations · 3 across the 5 of their papers we have counts for
6 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…
Helicoids and vortices
Hao Chen, Daniel Freese
We point out an interesting connection between fluid dynamics and minimal surface theory: When gluing helicoids into a minimal surface, the limit positions of the helicoids corresp…
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…
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…
Theory of Series in the -calculus and the -Pythagorean Theorem
James S. Cook, Daniel Freese
In this paper we study sequences, series, power series and uniform convergence in the -Calculus. Here denotes an associative unital real algebra. We say…
On Surfaces that are Intrinsically Surfaces of Revolution
Daniel Freese, Matthias Weber
We consider surfaces in Euclidean space parametrized on an annular domain such that the first fundamental form and the principal curvatures are rotationally invariant, and the prin…