[math-fun] DIY penrose shower floor
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom. I put two quick pictures, before the glass wall was installed, at http://folgenschwer.de/mosaik/ Thought some of you might enjoy, Dirk
Gorgeous work, sir. On Wed, Jun 10, 2015 at 4:53 PM, Dirk Lattermann <dlatt@alqualonde.de> wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
http://folgenschwer.de/mosaik/
Thought some of you might enjoy, Dirk
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On 10/06/2015 21:53, Dirk Lattermann wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
Magnificent! -- g
How many tiles? WFL On 6/10/15, Gareth McCaughan <gareth.mccaughan@pobox.com> wrote:
On 10/06/2015 21:53, Dirk Lattermann wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
Magnificent!
-- g
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On 6/11/15, Fred Lunnon <fred.lunnon@gmail.com> wrote:
How many tiles? WFL
On 6/10/15, Gareth McCaughan <gareth.mccaughan@pobox.com> wrote:
On 10/06/2015 21:53, Dirk Lattermann wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
Magnificent!
-- g
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Am Thu, 11 Jun 2015 00:26:50 +0100 schrieb Fred Lunnon <fred.lunnon@gmail.com>:
How many tiles? WFL
counting is confusing. upper bound 2929: 1816 large tiles and 1113 thin tiles were glued to the mats. When trimming the borders to fit the actual size, several were removed again (perhaps about one to two hundred). Many more were cut because when bulk cutting, I couldn't examine the quality of the result. So I needed some excess. Dirk
On 6/10/15, Gareth McCaughan <gareth.mccaughan@pobox.com> wrote:
On 10/06/2015 21:53, Dirk Lattermann wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
Magnificent!
-- g
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Was all the Penrose tiling toilet paper manufactured by Kimberly Clark in the late 90s destroyed, or does some of it still survive? If there are still rolls out there, and the price isn't prohibitive, you could install some (presumably for display purposes only) elsewhere in the bathroom. If you don't known the story of Sir Roger's lawsuit against Kimberly Clark, I urge you to look it up. It features one especially memorable quote, from David Bradley: "When it comes to the population of Great Britain being invited by a multinational to wipe their bottoms on what appears to be a work of a knight of the realm without his permission, then a last stand must be made." Jim Propp On Wednesday, June 10, 2015, Dirk Lattermann <dlatt@alqualonde.de> wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
http://folgenschwer.de/mosaik/
Thought some of you might enjoy, Dirk
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I regret to have to confess was the culprit responsible for designing the modified tiling (periodic along one axis) --- ah --- behind this particular contribution to the artistic life of the twentieth century. Not for the first or last time, I failed received so much as a letter of thanks from the commercial enterprise concerned. [Though I was subsequently obliged to --- er --- come clean to Penrose about my part in the affair.] Moral: if you are approached by an individual with an enquiry of a suspiciously industrial nature, get things --- um --- down on paper beforehand! Fred Lunnon On 6/11/15, James Propp <jamespropp@gmail.com> wrote:
Was all the Penrose tiling toilet paper manufactured by Kimberly Clark in the late 90s destroyed, or does some of it still survive?
If there are still rolls out there, and the price isn't prohibitive, you could install some (presumably for display purposes only) elsewhere in the bathroom.
If you don't known the story of Sir Roger's lawsuit against Kimberly Clark, I urge you to look it up. It features one especially memorable quote, from David Bradley: "When it comes to the population of Great Britain being invited by a multinational to wipe their bottoms on what appears to be a work of a knight of the realm without his permission, then a last stand must be made."
Jim Propp
On Wednesday, June 10, 2015, Dirk Lattermann <dlatt@alqualonde.de> wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
http://folgenschwer.de/mosaik/
Thought some of you might enjoy, Dirk
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Where do things stand now? Is it still possible to get pseudo-aperiodic toilet paper? And while we're on the subject: do Weaire and Phelan have any kind of copyright on the Weaire-Phelan structure that they discovered (subsequently incorporated into the Water Cube in Beijing)? Jim Propp On Wed, Jun 10, 2015 at 8:48 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
I regret to have to confess was the culprit responsible for designing the modified tiling (periodic along one axis) --- ah --- behind this particular contribution to the artistic life of the twentieth century.
Not for the first or last time, I failed received so much as a letter of thanks from the commercial enterprise concerned. [Though I was subsequently obliged to --- er --- come clean to Penrose about my part in the affair.]
Moral: if you are approached by an individual with an enquiry of a suspiciously industrial nature, get things --- um --- down on paper beforehand!
Fred Lunnon
On 6/11/15, James Propp <jamespropp@gmail.com> wrote:
Was all the Penrose tiling toilet paper manufactured by Kimberly Clark in the late 90s destroyed, or does some of it still survive?
If there are still rolls out there, and the price isn't prohibitive, you could install some (presumably for display purposes only) elsewhere in the bathroom.
If you don't known the story of Sir Roger's lawsuit against Kimberly Clark, I urge you to look it up. It features one especially memorable quote, from David Bradley: "When it comes to the population of Great Britain being invited by a multinational to wipe their bottoms on what appears to be a work of a knight of the realm without his permission, then a last stand must be made."
Jim Propp
On Wednesday, June 10, 2015, Dirk Lattermann <dlatt@alqualonde.de> wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
http://folgenschwer.de/mosaik/
Thought some of you might enjoy, Dirk
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I've got a square of the Penrose T.P. framed and hanging in my bathroom. I've also got a couple of extra squares I've been saving, thinking I might someday give them away as some kind of award. Dirk, the floor is beautiful so, I'd be happy to send you a P.T.P. square if you want to frame one and hang it in your bathroom. Also, you might consider having a commercial laser-cutting or water-jet firm create a custom drain plate, so you can continue the pattern (as holes in a metal circle) for the drain. It is trivial to do if you can create a vector file of the pattern you want them to cut (but it's not inexpensive). George http://georgehart.com/ On 6/10/2015 8:48 PM, Fred Lunnon wrote:
I regret to have to confess was the culprit responsible for designing the modified tiling (periodic along one axis) --- ah --- behind this particular contribution to the artistic life of the twentieth century.
Not for the first or last time, I failed received so much as a letter of thanks from the commercial enterprise concerned. [Though I was subsequently obliged to --- er --- come clean to Penrose about my part in the affair.]
Moral: if you are approached by an individual with an enquiry of a suspiciously industrial nature, get things --- um --- down on paper beforehand!
Fred Lunnon
On 6/11/15, James Propp <jamespropp@gmail.com> wrote:
Was all the Penrose tiling toilet paper manufactured by Kimberly Clark in the late 90s destroyed, or does some of it still survive?
If there are still rolls out there, and the price isn't prohibitive, you could install some (presumably for display purposes only) elsewhere in the bathroom.
If you don't known the story of Sir Roger's lawsuit against Kimberly Clark, I urge you to look it up. It features one especially memorable quote, from David Bradley: "When it comes to the population of Great Britain being invited by a multinational to wipe their bottoms on what appears to be a work of a knight of the realm without his permission, then a last stand must be made."
Jim Propp
On Wednesday, June 10, 2015, Dirk Lattermann <dlatt@alqualonde.de> wrote:
Finally, a year after we moved into our new (old) house, I managed to finish the penrose mosaic for the shower in our ground floor bathroom.
I put two quick pictures, before the glass wall was installed, at
http://folgenschwer.de/mosaik/
Thought some of you might enjoy, Dirk
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Am Wed, 10 Jun 2015 22:27:23 -0400 schrieb George Hart <george@georgehart.com>:
I've got a square of the Penrose T.P. framed and hanging in my bathroom. I've also got a couple of extra squares I've been saving, thinking I might someday give them away as some kind of award.
Awards or recompense in form of printed paper is not unheard of, but by this kind of paper sure is unusual!
Dirk, the floor is beautiful so, I'd be happy to send you a P.T.P. square if you want to frame one and hang it in your bathroom.
Oh, thank you! That's very generous of you! I didn't think there was something left. Coincidentally, we are looking for some decorative element on the wall beside the mirror (above the toilet). A problem might be the framing and robustness against humidity.
Also, you might consider having a commercial laser-cutting or water-jet firm create a custom drain plate, so you can continue the pattern (as holes in a metal circle) for the drain. It is trivial to do if you can create a vector file of the pattern you want them to cut (but it's not inexpensive).
Yes, I already considered this. Maybe sometime, it'd be nice! It was a major effort finding a round drain. Only square ones seem to be readily available (and affordable). When my plumber finally came around with this circular drain, it reminded me at once of the metal samples a water jet cutting company had shown me when I inquired them about cutting the tiles (very expensive, but would have saved much time and grief glueing). For this round drain, I paid about 10 times the price of a square drain. A custom designed penrose drain plate will be expensive, and I have not figured out how it will look like when the rhombs are rather small to leave big enough bridges for stability.
George http://georgehart.com/
Fantastic work! * Dirk Lattermann <dlatt@alqualonde.de> [Jun 12. 2015 14:42]:
[...]
Yes, I already considered this. Maybe sometime, it'd be nice!
It was a major effort finding a round drain. Only square ones seem to be readily available (and affordable). When my plumber finally came around with this circular drain, it reminded me at once of the metal samples a water jet cutting company had shown me when I inquired them about cutting the tiles (very expensive, but would have saved much time and grief glueing).
For this round drain, I paid about 10 times the price of a square drain. A custom designed penrose drain plate will be expensive, and I have not figured out how it will look like when the rhombs are rather small to leave big enough bridges for stability.
We should have (laser-)cutters powerful enough for metal at our school. I'd need to know the dimensions, mostly the thickness, to be able to ask around.
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participants (7)
-
Allan Wechsler -
Dirk Lattermann -
Fred Lunnon -
Gareth McCaughan -
George Hart -
James Propp -
Joerg Arndt