The Mysterious Mr. Ammann

@article{Senechal2004TheMM,
  title={The Mysterious Mr. Ammann},
  author={Marjorie Senechal},
  journal={The Mathematical Intelligencer},
  year={2004},
  volume={26},
  pages={10-21}
}
  • M. Senechal
  • Published 1 September 2004
  • Mathematics
  • The Mathematical Intelligencer
This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of “mathematical community ” is the broadest. We include “schools ” of mathematics, circles of correspondence, mathematical societies, student organizations, and informal communities of cardinality greater than one. What we say about the communities is just as unrestricted. We welcome contributions from mathematicians of all kinds and in all places, and also from… 
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References

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    IEEE Computer Graphics and Applications
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TLDR
It is well known that there are only three regular polygons that can tile the plane, but here the verb tile means to cover the infinite plane with a set of polygons so that no gaps or overlaps exist among the polygons.
Algebraic theory of Penrose''s non-periodic tilings
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published
FULL EQUIVALENCE BETWEEN SOCOLAR’S TILINGS AND THE (A, B, C, K)-TILINGS LEADING TO A RATHER NATURAL DECORATION
In 1986 Socolar and Steinhardt introduced a family of quasiperiodic tilings of the euclidean 3-space E3 by four rhombic zonohedra, which admits a local matching rule. In 1989 the first of the present
Proving theorems by pattern recognition — II
Theoretical questions concerning the possibilities of proving theorems by machines are considered here from the viewpoint that emphasizes the underlying logic. A proof procedure for the predicate
Quasicrystals: the view from les houches
Soon after the announcement of their discovery in 1984 [1], quasi-crystals hit the headlines. Here was a substance—an alloy of aluminum and manganese—whose electron diffraction patterns exhibited
Aperiodic tiles
TLDR
A number of aperiodic sets which were briefly described in the recent bookTilings and Patterns, but for which no proofs of their a periodic character were given are considered.
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  • Physics, Medicine
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Penrose tilings have become the canonical model for quasicrystal structure, primarily because of their simplicity in comparison with other decagonally symmetric quasiperiodic tilings of the plane.
Weak matching rules for quasicrystals
Weak matching rules for a quasicrystalline tiling are local rules that ensure that fluctuations in “perp-space” are uniformly bounded. It is shown here that weak matching rules exist forN-fold
Autism in mathematicians
The cause of autism is mysterious, but genetic factors are important. It takes a variety of forms; the expression autism spectrum, which is often used, gives a false impression that it is just the
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