Budden (@davidmbudden) | teapawt

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@davidmbuddenOct 7

PS: PingYou is hiring [email protected]

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@davidmbuddenOct 17

Okay but hear me out

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@davidmbuddenOct 17

I fixed Claude's attempt with the same prompt

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@davidmbuddenOct 16

Better luck next time bros those shell companies have strong false address game

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@davidmbuddenOct 15

A couple of these are superceded now but for folks who are more into arithmetic than geometric results: pingyou.com/papers/erdos-106… pingyou.com/papers/erdos-265… pingyou.com/papers/erdos-289… pingyou.com/papers/erdos-349… pingyou.com/papers/erdos-354… pingyou.com/papers/erdos-769…

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@davidmbuddenOct 15

... Sorry that was kinda mean

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@davidmbuddenOct 15

Some more fun 3D packing records from the 2000+ we submitted today

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@davidmbuddenOct 15

Okay pretty chuffed with this record

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@davidmbuddenOct 15

Busy week! PingYou also has validated records for self-packing of each platonic solid

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@davidmbuddenOct 15

@AlejandroZarUrd I'm conscious I've just spammed your agents with 1500+ candidates to verify. Shoot me a message if you need PY to sponsor your token bill today 😅

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@davidmbuddenOct 15

PingYou has has 68 square packing records confirmed, including 3 against our own constructions

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@davidmbuddenOct 13

Here's a serious question. Has anyone proven that "2 cubes" is the worst optimal packing of a 3D polygon into itself? Because I strongly suspect it might be

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@davidmbuddenOct 13

Man pairs of tetrahedra are brutal. Worst case best packings for platonic (left) and archimedean (right) solids

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@davidmbuddenOct 13

NO! 2 icosahedra in a tetrahedron yields ~24.95% bound Wtf is going on here (loosening the criteria to "N M-gons in a P-gon")

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@davidmbuddenOct 13

Rookie numbers. Two tetrahedra in a dodecahedron. 15.5% bound

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@davidmbuddenOct 13

"Budden's packing conjecture"

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@davidmbuddenOct 13

(convex polyhedra only)

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@davidmbuddenOct 13

Sure squares are cool and all but y'all tried 15 octahedra?

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@davidmbuddenOct 13

And to wrap up with the one that earnestly pisses me off for its sheer lack of respect for aesthetics... 9 truncated icosahedra

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@davidmbuddenOct 13

(all sota obvs)

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