DNA has become one of the most extensively used molecular building blocks for
engineering self-assembling materials. DNA origami is a technique that uses hundreds of …

When tiles decorated to lower their symmetry are joined together, they can form aperiodic
and labyrinthine patterns. Such Truchet tilings offer an efficient mechanism of visual data …

Scaling up the complexity and diversity of synthetic molecular structures will require
strategies that exploit the inherent stochasticity of molecular systems in a controlled fashion …

In 1704 Father Sébastien Truchet published an article,'Mémoire sur les combinaisons', that
describes his mathematical and artistic investigations into how a simple set of square tiles …

We count tilings of the rectangular grid, cylinder, and torus with arbitrary tile designs up to
arbitrary symmetries of the square and rectangle, along with cyclic shifting of rows and …

In this work, we present the concept of “Hamiltonian cycle art” that is based on the fact that
any mesh surface can be converted to a single closed 3D curve. These curves are …

Text from Truchet Tiles Page 1 Text from Truchet Tiles David A. Reimann Department of
Mathematics and Computer Science Albion College Albion, Michigan, 49224, USA E-mail …

In his paper on the pattern work of Truchet, Cyril Stanley Smith introduced a variant of
Truchet's tile that gives patterns of continuous lines that delineate two-colorable domains …

We present a new approach for stippling by recursively dividing a grayscale image into
rectangles with equal amount of ink, then we use the resulting structure to generate novel …

This paper proposes a hybrid design technique for precast panels that incorporates soft-
material formwork, computational form-finding, and the Truchet tiling concept. Initial …