Re: [math-fun] math-fun Digest, Vol 171, Issue 35 re Bathroom square dance tilings
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) The only other thing about these tilings I am aware of that is not mentioned in the article is that these tilings can tile a torus. See Geoffrey Morley's article www.squaring.net/sq/st/st.html Stuart Anderson
Daltile, a major tile manufacturer, agrees with “hopscotch”: http://www.daltile.com/information/tile-patterns/two-tile-pattern <http://www.daltile.com/information/tile-patterns/two-tile-pattern> 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. Anyone have their Grunbaum handy? (“Tilings & Patterns”, Branko Grunbaum & G. C. Shephard) — Mike
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)
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)
Multi-pinwheel, I'm pretty sure that was the MIT bathroom floor tile! The interior rectangles had two colors, something like dirty puce and dirty dark puce. Is there a standard terminology for the patterns? Lookup with the manufacturers names is impossible. "Stretcher bond" can mean anything involving rectangles, for example. There is a lovely book titled "The Grammar of Ornament" that has nice pictures from Victorian design but no useful grammar. Still, it hints at the later book "Tilings and Patterns" (yes, I've got it handy) which does not deign to describe simple rectangle tilings, deferring to Plummer's "Brick and Tile Engineering" from 1950. That is in archive.org and has a lot more engineering than tiling, but we might be better able to lookup patterns if manufacturer's should had adopted it as a standard reference. Hilarie
From: Mike Beeler <mikebeeler2@gmail.com> Date: Mon, 5 Jun 2017 23:21:41 -0400
Daltile, a major tile manufacturer, agrees with “hopscotch”: http://www.daltile.com/information/tile-patterns/two-tile-pattern <http://www.daltile.com/information/tile-patterns/two-tile-pattern>
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.
Anyone have their Grunbaum handy? (“Tilings & Patterns”, Branko Grunbaum & G. C. Shephard)
— Mike
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)
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Multi-pinwheel, I'm pretty sure that was the MIT bathroom floor tile! The interior rectangles had two colors, something like dirty puce and dirty dark puce. Is there a standard terminology for the patterns? Lookup with the manufacturers names is impossible. "Stretcher bond" can mean anything involving rectangles, for example. There is a lovely book titled "The Grammar of Ornament" that has nice pictures from Victorian design but no useful grammar. Still, it hints at the later book "Tilings and Patterns" (yes, I've got it handy) which does not deign to describe simple rectangle tilings, deferring to Plummer's "Brick and Tile Engineering" from 1950. That is in archive.org and has a lot more engineering than tiling, but we might be better able to lookup patterns if manufacturer's should had adopted it as a standard reference. Hilarie
From: Mike Beeler <mikebeeler2@gmail.com> Date: Mon, 5 Jun 2017 23:21:41 -0400
Daltile, a major tile manufacturer, agrees with "hopscotch": http://www.daltile.com/information/tile-patterns/two-tile-pattern <http://www.daltile.com/information/tile-patterns/two-tile-pattern>
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.
Anyone have their Grunbaum handy? ("Tilings & Patterns", Branko Grunbaum & G. C. Shephard)
Mike
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)
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (4)
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Fred Lunnon -
Hilarie Orman -
Mike Beeler -
Stuart Anderson