@[email protected]

Sun down. Yellow moon. 🍄🧗‍♂️‍🚣🏕🎸🚴🏼🏔

[@[email protected] @ykallus]

@hlagband @sweetjuicefest @ther_ther_ther !

[@[email protected] @ykallus]

@timesharesmusic @the_tisburys @25oclockPod I thought it was a nod to The Boo Radleys' Giant Steps

[@[email protected] @ykallus]

@d_feldman OK, not a "popular website," but I immediately had to check if https://t.co/ShxQmztjCw was still going and still looks the same, and I'm delighted that it is and does

[@[email protected] @ykallus]

@robinhouston @johncarlosbaez You might have to work with spherical polyhedra instead of Euclidean ones, but then seems like intersecting with small sphere around the vertex is reasonably sane (assuming vertices are isolated)

[@[email protected] @ykallus]

@robinhouston @johncarlosbaez Maybe say something like "a polyhedron is convex if all its vertex figures are convex" and then use induction to prove your claim (as dihedral angle is just taking the vertex figure d-2 times)? Then your assumptions need to ensure vertex figure is well defined

[@[email protected] @ykallus]

You didn’t-- care about
The breakfast I’d been-- planning out
Now the icebox’s out of bounds
Now you’re not allowed
Anywhere near where I’m saving my next meal
How does it feel?

[@[email protected] @ykallus]

Once upon a time you dined so fine
Ate some plums of mine, a shocking crime
Atrocious, yeah?
Then you call, say sorry doll,
So sweet and cold, you thought they were all
Delicious, yeah?

[@[email protected] @ykallus]

@robinhouston Sondheim tried to tell us
https://t.co/V4kdUi8Sqr

[@[email protected] @ykallus]

Tell me you're not in computational geometry without etc

[Rupa Subramanya @rupasubramanya]

@SomeGuy_Tor78 Really? Why does a Russian name need a French spelling? How would you spell my name in French?

[Daniel Litt @littmath]

Your scientists were so preoccupied with whether or not they *could* make a giant couch that could nonetheless fit around a tight corner, they didn’t stop to think if they *should.*

[@[email protected] @ykallus]

@robinhouston Good to see. Thanks for flagging it for me. Nice to know the error was spotted earlier too.

[@[email protected] @ykallus]

@robinhouston Kelvin foam cell, a version of the truncated octahedron modified to satisfy Plateau's laws

[@[email protected] @ykallus]

@robinhouston The cross-section of the cubic Z4 lattices along w+x+y+z=0 is the A3 lattice, so the cross section of the former's Voronoi cell should be the latter's? (unless Voronoi cells centered on off-section lattice points also intersect the section plane)

[@[email protected] @ykallus]

@everestpipkin I have drawn
the tools
that would be made
by a cow

and which
would probably
lack something
in sophistication

Forgive me
it didn't make sense
so silly
and so incomprehensible

[@[email protected] @ykallus]

@thienan496 None that I know of. Here is a little javascript interactive I wrote if people want to explore https://t.co/SZoK70dZsm

[@[email protected] @ykallus]

@thienan496 I assume you're familiar with the version with an unlimited number of solid disks? https://t.co/GuvdloVeB0

[@[email protected] @ykallus]

@DamascenoPF @johncarlosbaez As far as I know

[@[email protected] @ykallus]

@DavidMaver @bensh__ @IngaSaffron Any chance it also gets connected to MLK?

[@[email protected] @ykallus]

@LuigisPHL @botf_band Cc @heykitzy. Have you compared notes?

[@[email protected] @ykallus]

@AustenLamacraft @johncarlosbaez @stevenstrogatz @jugander For short cylinders, there is even a weird, so-called "cubatic" phase, where they stack into longer cylinders and neighboring stacks are perpendicular

[@[email protected] @ykallus]

@AustenLamacraft @johncarlosbaez @stevenstrogatz @jugander For thermalized hard cylinders below close-packing, there are various phase transitions where orientational and translational order emerge separately or together depending on aspect ratio