New Pentagons for old spaces
February 11, 2022 1:28 PM Subscribe
Recently searching for ways to pave a large courtyard* (with in-situ recycled concrete) my hits included a metafilter favourite New Pentagons (all links still work)
I got so into reading the replies, I had to add a comment myself ... until re-realising it was a 2015 post
from metroid baby [account disabled ]
[Part of #DoublesJubilee month!]
Manna, McLoud-Mannb, von Derau 2015 Convex pentagons that admit i-block transitive tilings
There may be nineteen shapes now Rao 2017 Exhaustive search of convex pentagons which tile
the plane, page 15, but like the Mann et al. paper I only understand the pitchurs.
A recent, $$, book citing Rao Tessellations: Mathematics, Art, and Recreation, will be my next interlaon!
* 300m² of old concrete I want to recycle into new paving, but I need a more random arrangement, or less griddy, I was looking for repeat tilings that would work with my material and aesthetic - I want it blocky, pieces are also stronger that way, and need as few cuts as possible (using a concrete saw). So this article I'm choosing from types 4, 6, 9, 10, 13.
Manna, McLoud-Mannb, von Derau 2015 Convex pentagons that admit i-block transitive tilings
There may be nineteen shapes now Rao 2017 Exhaustive search of convex pentagons which tile
the plane, page 15, but like the Mann et al. paper I only understand the pitchurs.
A recent, $$, book citing Rao Tessellations: Mathematics, Art, and Recreation, will be my next interlaon!
* 300m² of old concrete I want to recycle into new paving, but I need a more random arrangement, or less griddy, I was looking for repeat tilings that would work with my material and aesthetic - I want it blocky, pieces are also stronger that way, and need as few cuts as possible (using a concrete saw). So this article I'm choosing from types 4, 6, 9, 10, 13.
Ooo, Tessallations looks so interesting! I've read the previous classic, Tilings and Patterns by Grunbaum and Shephard. I highly recommend looking it up in your local library if you like fun pictures. So glad to see a fresh, more visual take on this field! Especially one with full color pictures!
posted by crossswords at 6:15 PM on February 11, 2022 [1 favorite]
posted by crossswords at 6:15 PM on February 11, 2022 [1 favorite]
Great post Unearthed! But now I'm interested to know how your courtyard turns out - the idea of cutting pentagon paving tiles out of existing concrete sounds incredible, especially if you use one of these less common shapes.
posted by eddieddieddie at 1:23 AM on February 13, 2022 [1 favorite]
posted by eddieddieddie at 1:23 AM on February 13, 2022 [1 favorite]
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...OK, yes, five sides, it's a pentagon, but it's weird.
posted by wenestvedt at 4:04 PM on February 11, 2022 [1 favorite]