5 citations · 7 across the 4 of their papers we have counts for
4 papers
Function Theory on Inflationary Tessellations
Howard L. Resnikoff
This paper studies function theory on periodic and aperiodic inflationary tessellations.
Tessellations and Positional Representation
H. L. Resnikoff
The main goal of this paper is to define a 1-1 correspondence between between substitution tilings constructed by inflation and the arithmetic of positional representation in the u…
An Algebraic Realization of the Taylor-Socolar Aperiodic Monotilings
Howard L. Resnikoff
The first aperiodic monotiling, introduced by Taylor, was based on a trapezoidal prototile equipped with 14 distinct decorations. A presentation of the closely related Taylor-Socol…
On Curves and Surfaces of Constant Width
Howard L. Resnikoff
This paper focuses on curves and surfaces of constant width, with some additional results about general ovals. We emphasize the use of Fourier series to derive properties, some of…