Infinitely Variable Tiling Patterns: From Truchet to Sol LeWitt Revisited

Infinitely Variable Capacity Control

Hyperbolic Truchet Tilings

About 300 years ago Sébastien Truchet systematically studied patterns that could be formed from square tiles that were divided by a diagonal into a white triangle and a black triangle. Other pattern creators have been inspired by him to make Truchet-like tilings composed of circular arcs and other motifs. These tilings are all based on Euclidean tessellations, usually the tiling by squares. In ...

When ethyl is infinitely different from methyl: double addition of lithiated dithianes to aromatic carboxylates revisited.

Addition of lithiated alkyl dithianes to benzoyl chloride or methyl benzoate does not produce the expected product of double addition, alpha,alpha-bis(alkyldithianyl) benzyl alcohol, for alkyls larger than methyl. Instead, the first step intermediate, i.e. 2-benzoylated dithiane, undergoes an electron-transfer reduction by the second molecule of the dithianyl anion. This reduction is followed b...

Duotone Truchet-like tilings

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Enumerations of Hyperbolic Truchet Tiles

Sébastien Truchet was a pioneer in applying combinatorics to the study of regular patterns. He enumerated the patterns that could be formed from square tiles that were divided by a diagonal into a black and a white triangle Following Truchet, others have created Truchet-like tilings composed of circular arcs and other motifs. These patterns are all based on Euclidean tessellations, usually the ...