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Regular subdivision in \(\mathbb{Z} [\frac{1+\sqrt{5}}{2}]\)

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Publication:1584479
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zbMath0965.11041MaRDI QIDQ1584479

Sean Cleary

Publication date: 5 November 2000

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

substitutionsquasi-crystalsFibonacci tilingsubdivisions in algebraic rings


Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Algebraic numbers; rings of algebraic integers (11R04) Automata sequences (11B85) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (5)

Irrational-slope versions of thompson's groups T and V ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Subgroups of \(\mathrm{PL}_+ I\) which do not embed into Thompson's group \(F\) ⋮ Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems ⋮ An irrational-slope Thompson's group






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