[seqfan] Re: This is a Penrose tiling?
bradklee at gmail.com
Tue Jan 7 06:37:13 CET 2020
Notice that fat rhombuses join differently to either side of a skinny
rhombus, so it is impossible to surround a skinny by four fats, and
also have invariant transformation under 180 rotation. But such a
configuration does occur in the tiling of A302176.
I reproduced the correct definition in Mma code, but did not bother
to crank out more of the terms:
> On Jan 6, 2020, at 10:37 PM, Fred Lunnon <fred.lunnon at gmail.com> wrote:
> No, but it's an interesting fake!
> Neither a pukka Penrose rhomb infinite sun or star,
> therefore the matching rules are broken somewhere,
> and very close to the centre. But because a fat rhomb
> has only binary symmetry (rather than D_4) so that
> there are 8 distinct vertex types (rather than 7), it is
> not easy to pinpoint exactly where without a crib ...
>> On 1/6/20, Brad Klee <bradklee at gmail.com> wrote:
>> I think no, but could not access the article
>> from behind paywall.
>> Keyword: more.
>> But how can more terms be generated
>> when the definition is not freely stated?
>> Suggest to fix or mark dead. Sequences
>> from R. Sigrist seem to be much better,
>> just search “Penrose coordination”.
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