On 6/6/17, Mike Beeler <mikebeeler2@gmail.com> wrote:
Anyone have their Grunbaum handy? (“Tilings & Patterns”, Branko Grunbaum & G. C. Shephard)
The square dance merits merely a shared diagram 2.4.2(g) on page 73.
Daltile, a major tile manufacturer, agrees with “hopscotch”: http://www.daltile.com/information/tile-patterns/two-tile-pattern
A grating(!) misnomer, more suited to 2.4.2(d) perhaps?
Floor & Decor Outlets of America has two different names, Charleston and Kiawah, depending on the size ratio: https://www.flooranddecor.com/site-articles/what-tile-pattern-is-right-for-y... <https://www.flooranddecor.com/site-articles/what-tile-pattern-is-right-for-you.html> But they strike me as silly made-up marketing names.
The Wikipedia article illustrates the connection with Perigal's and older dissection proofs of the Pythagorean theorem: on this ground, along with general euphony, I rather like "Perigal tiling".
— Mike
WFL
On May 29, 2017, at 12:52 PM, Stuart Anderson <stuart.errol.anderson@gmail.com> wrote:
But all that's completely irrelevant to my purpose, which is simply to enquire if these tilings have an established name --- preferably one rather more euphonious than my current nomenclature: The bathroom floor tiling!
Fred Lunnon
Wikipedia has a good article on these tilings;
Wikipedia.org/wiki/Pythagorean_tiling There are 4 names given: Pythagorean tiling Two squares tessellation Hopscotch pattern Pinwheel pattern (not to be confused with pinwheel tiling)