Escherlike quasiperiodic heterostructures
A. G. Barriuso, J. J. Monzon, L. L. Sanchez-Soto, and A. F. Costa
TL;DR
This paper introduces a new class of quasiperiodic heterostructures based on hyperbolic tessellations, providing explicit construction methods and exploring their geometric properties.
Contribution
It presents a novel approach to designing quasiperiodic heterostructures using hyperbolic tessellations, expanding the geometric frameworks used in material design.
Findings
Explicit construction rules for hyperbolic tessellation-based heterostructures
Analysis of geometric properties of these quasiperiodic systems
Potential applications in advanced material design
Abstract
We propose quasiperiodic heterostructures associated with the tessellations of the unit disk by regular hyperbolic triangles. We present explicit construction rules and explore some of the properties exhibited by these geometric-based systems.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quasicrystal Structures and Properties · Analytic and geometric function theory