Inverse Design of Metal-Organic Polyhedra through Molecular Fragmentation and Evolutionary Optimisation: como.ceb.cam.ac.uk/media/prepri...
como.ceb.cam.ac.uk
October 28, 2025 at 6:56 PM
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This is the same algorithm (and code) as for the torus. The continuation is limited to the inside of a box, so you only see the yellow spheres until they cross that. The polyhedra around the spheres are more visible. They're used to find the boundary of the union of spherical balls.
October 27, 2025 at 1:42 PM
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@adamhotep Ooh yes indeed, this is fun!
It bugged me a little that they keep saying "shape" when the article really seems to be about convex polyhedra. (Because otherwise the obvious counterexample is a sphere....)
It bugged me a little that they keep saying "shape" when the article really seems to be about convex polyhedra. (Because otherwise the obvious counterexample is a sphere....)
October 26, 2025 at 7:50 PM
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A 🔥HOT🔥 new Review in Chemical Science!
"Novel Metallo-Supramolecular Architectures Based on Side-Pyridine-Modified Terpyridines: Design, Self-assembly, and Properties"
Read for free: pubs.rsc.org/doi/D5S...
"Novel Metallo-Supramolecular Architectures Based on Side-Pyridine-Modified Terpyridines: Design, Self-assembly, and Properties"
Read for free: pubs.rsc.org/doi/D5S...
October 26, 2025 at 2:00 PM
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This study investigates the electrical properties of Ag2O polyhedra (cubes, octahedra, and rhombic dodecahedra) in contact with different silicon wafer orientations ({100}, {111}, and {110}).
October 25, 2025 at 4:18 PM
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Many polyhedra - including the Platonics - can pass through themselves and are thus yesperthedra.There are candidate polyhedra where, despite our best algorithms, we’ve not found a way for them to pass through themselves (incl the rhombicosidodecahedron). Those are idkperthedra or doubtperthedra.
Rhombicosidodecahedron - Wikipedia
en.wikipedia.org
October 25, 2025 at 6:59 AM
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Who else up boring through they polyhedra
In important math news: new shape just dropped (the noperthedron) www.quantamagazine.org/first-shape-...
First Shape Found That Can’t Pass Through Itself | Quanta Magazine
After more than three centuries, a geometry problem that originated with a royal bet has been solved.
www.quantamagazine.org
October 25, 2025 at 3:37 AM
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The worst part is that those dodecahedra aren't even relevant! They're Rupert, like most convex polyhedra! (That image looks like a mid-transit example of two dodecas lined up in order to pull of the Rupert trick, which I'll admit has more visual pop than the noperthedron itself.)
October 24, 2025 at 11:08 PM
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oh and the two of those above were done by amateurs, at least. maybe three? haven't learned much about the new polyhedra discovery.
October 24, 2025 at 7:04 PM
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like there's the busy beaver challenge! a new polyhedra was discovered! someone discovered another shape and published a paper re the neighborly polyhedra problem! there's progress on the langlands program! fuck even homomorphic encryption is making progress.
all sorts of wild progress lately.
all sorts of wild progress lately.
October 24, 2025 at 7:04 PM
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Ryan Hynd, University of Pennsylvania, will give the MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay Lecture at the 2026 Joint Mathematics Meetings. His talk will be on “Reuleaux Polyhedra: From Discrete to Convex Geometry.” #JMM2026
Read more: buff.ly/PDQLYo0
Read more: buff.ly/PDQLYo0
October 24, 2025 at 5:38 PM
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Planning on using Professor Steve Dutch's Enumeration of Polyhedra page as a reference for a future post. Dutch enumerates polyhedra by number of facets through 9 (and looks into 10-sided polyhedra). My goal is to enumerate polytopes by number of of vertices (including dimension > 3). I'll […]
Original post on mathstodon.xyz
mathstodon.xyz
October 24, 2025 at 3:07 PM
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#Shapetober 24
Triaugmented triangular prism
Apart from the Platonic solids, there are five convex polyhedra that are made entirely out of equilateral triangles. This one looks like a thicc Triforce
Triaugmented triangular prism
Apart from the Platonic solids, there are five convex polyhedra that are made entirely out of equilateral triangles. This one looks like a thicc Triforce
October 24, 2025 at 1:49 PM
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SUCK IT, TRIGOHEADS
October 24, 2025 at 1:42 AM
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"And that's how baby polyhedra are made, Jimmy. No go be safe out there."
October 22, 2025 at 11:20 PM
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Now on Kickstarter from our friends at Polyhedra Games, Death City! Chaotic, Action-Packed, Dark Occult, Goth, Punk, Urban Fantasy, TTRPG. If those keywords speak to you, check this out today!
www.kickstarter.com/projects/pol...
@polyhedragames.bsky.social
#studio2friends #Kickstarter #ttrpg
www.kickstarter.com/projects/pol...
@polyhedragames.bsky.social
#studio2friends #Kickstarter #ttrpg
DEATH CITY
a chaotic and action-packed dark occult goth punk urban fantasy tabletop RPG.
www.kickstarter.com
October 22, 2025 at 3:50 PM
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Synthesis of Type II Porous Liquids from Nonporous Metal–Organic Polyhedra Enhanced by Host–Guest Complexation https://onlinelibrary.wiley.com/doi/10.1002/anie.202519288
October 22, 2025 at 9:08 AM
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Polyhedra are haunting my dreams
October 22, 2025 at 2:36 AM
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rotating polyhedra
October 20, 2025 at 12:49 PM
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Aleatoric Polyhedra Altogether Composing Stories (APACS)
…And Adventures.
…And Adventures.
October 20, 2025 at 8:15 AM
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I think I'll probably dig it next time I read it. I've given it two shots but on neither occasion was my head in the right place I think.
The fact that it contains one of the best trip descriptions ever set to paper makes me pretty sure it was my headspace - not the book - that was the problem.
The fact that it contains one of the best trip descriptions ever set to paper makes me pretty sure it was my headspace - not the book - that was the problem.
October 19, 2025 at 8:47 PM
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Today's light #nakedmaths sunday reading:
"Adventures among the toroids, a study of orientable polyhedra with regular faces" by B. M. Stewart
(This counts as light, I promise!)
Intro video: youtu.be/BhSlqIe1CRQ?...
A beautifully hand written and hand drawn book
#nudemath #metricgeometry
"Adventures among the toroids, a study of orientable polyhedra with regular faces" by B. M. Stewart
(This counts as light, I promise!)
Intro video: youtu.be/BhSlqIe1CRQ?...
A beautifully hand written and hand drawn book
#nudemath #metricgeometry
October 19, 2025 at 9:40 AM
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Polyhedra и революция в блокчейн: партнерство с Ethereum Foundation и Worldcoin для нового этапа развития zk-технологий
https://kripta.biz/posts/8949DF0D-CCCE-4CFC-AF58-F5E5DDE9F77C
https://kripta.biz/posts/8949DF0D-CCCE-4CFC-AF58-F5E5DDE9F77C
October 18, 2025 at 10:21 PM
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October 18, 2025 at 10:20 PM
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