An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces
Malak Abdalla, Gabriela Brown

TL;DR
This paper presents an infinite set of counterexamples to a conjecture in the field of pillowcase-tiled surfaces, challenging previous assumptions and expanding understanding of their properties.
Contribution
It introduces an infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces that counter the conjecture of Apisa-Wright.
Findings
Counterexamples to Apisa-Wright conjecture
Infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces
Challenges previous assumptions in the field
Abstract
We provide infinitely many counterexamples to a conjecture of Apisa-Wright.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Geometric Analysis and Curvature Flows
