Michael Kleber
@log3overlog2.mathstodon.xyz.ap.brid.gy
Mathematician, at Google, keeping the web working. He/Him.
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@christianp ...oh look that's https://oeis.org/A287298
A287298 - OEIS
oeis.org
January 26, 2026 at 3:56 AM
@christianp ...oh look that's https://oeis.org/A287298
@christianp
(* Mma: Largest Square With No Repeated Digits in base b *)
In[1]:= LSqWNRD[b_] := Do[ If[DuplicateFreeQ[IntegerDigits[r^2,b]],Return[r^2]],{
r, Floor[Sqrt[FromDigits[Range[b-1,0,-1],b]]], 0, -1}]
In[2]:= Table[LSqWNRD[b],{b,2,16}]
Out[2]= {1, 1, 225, 576, 38025, 751689, 10323369 […]
(* Mma: Largest Square With No Repeated Digits in base b *)
In[1]:= LSqWNRD[b_] := Do[ If[DuplicateFreeQ[IntegerDigits[r^2,b]],Return[r^2]],{
r, Floor[Sqrt[FromDigits[Range[b-1,0,-1],b]]], 0, -1}]
In[2]:= Table[LSqWNRD[b],{b,2,16}]
Out[2]= {1, 1, 225, 576, 38025, 751689, 10323369 […]
Original post on mathstodon.xyz
mathstodon.xyz
January 26, 2026 at 3:42 AM
@christianp
(* Mma: Largest Square With No Repeated Digits in base b *)
In[1]:= LSqWNRD[b_] := Do[ If[DuplicateFreeQ[IntegerDigits[r^2,b]],Return[r^2]],{
r, Floor[Sqrt[FromDigits[Range[b-1,0,-1],b]]], 0, -1}]
In[2]:= Table[LSqWNRD[b],{b,2,16}]
Out[2]= {1, 1, 225, 576, 38025, 751689, 10323369 […]
(* Mma: Largest Square With No Repeated Digits in base b *)
In[1]:= LSqWNRD[b_] := Do[ If[DuplicateFreeQ[IntegerDigits[r^2,b]],Return[r^2]],{
r, Floor[Sqrt[FromDigits[Range[b-1,0,-1],b]]], 0, -1}]
In[2]:= Table[LSqWNRD[b],{b,2,16}]
Out[2]= {1, 1, 225, 576, 38025, 751689, 10323369 […]
@christianp Surely this should be a(10) in the sequence "a(n) = largest square with no repeated digits when written in base n"
January 25, 2026 at 6:04 PM
@christianp Surely this should be a(10) in the sequence "a(n) = largest square with no repeated digits when written in base n"
@christianp Kepler's answer is this one: https://mathworld.wolfram.com/KeplersMonsters.html
Kepler's Monsters -- from Wolfram MathWorld
In Kepler's 1619 book Harmonice Mundi on tilings, he discussed a tiling built with pentagons, pentagrams, decagons, and "fused decagon pairs." He also called them "monsters." This tiling inspired Penrose tiles in 1973.
mathworld.wolfram.com
November 11, 2025 at 1:12 PM
@christianp Kepler's answer is this one: https://mathworld.wolfram.com/KeplersMonsters.html
@zachweinersmith.bsky.social Factoring *does* reduce to any NP-hard problem. If you had a magical solver for any NP-hard problem, then you could use it to factor integers into primes.
Factoring is not known to be NP-hard, which means that even if you had a magical factoring-into-primes machine […]
Factoring is not known to be NP-hard, which means that even if you had a magical factoring-into-primes machine […]
Original post on mathstodon.xyz
mathstodon.xyz
August 5, 2025 at 1:46 AM
@zachweinersmith.bsky.social Factoring *does* reduce to any NP-hard problem. If you had a magical solver for any NP-hard problem, then you could use it to factor integers into primes.
Factoring is not known to be NP-hard, which means that even if you had a magical factoring-into-primes machine […]
Factoring is not known to be NP-hard, which means that even if you had a magical factoring-into-primes machine […]
Reposted by Michael Kleber
Behold its shadow.
July 23, 2025 at 6:30 PM
Behold its shadow.
Reposted by Michael Kleber
Seriously though i’m biased because i’m a fiber arts sicko but if you want to see a c. 1500 masterpiece in paris i highly recommend skipping the mona lisa and seeing the lady and the unicorn tapestries:
- way less people
- rabbits
- you can get like 1 […]
[Original post on posts.rat.pictures]
- way less people
- rabbits
- you can get like 1 […]
[Original post on posts.rat.pictures]
June 26, 2025 at 12:12 PM
Seriously though i’m biased because i’m a fiber arts sicko but if you want to see a c. 1500 masterpiece in paris i highly recommend skipping the mona lisa and seeing the lady and the unicorn tapestries:
- way less people
- rabbits
- you can get like 1 […]
[Original post on posts.rat.pictures]
- way less people
- rabbits
- you can get like 1 […]
[Original post on posts.rat.pictures]
Reposted by Michael Kleber
The specific page that prompted me to post about this book is the description of how the first stellation of the rhombic dodecahedron can be dissected into six congruent pieces (and, in passing, that it can also fill space)
June 14, 2025 at 3:01 PM
The specific page that prompted me to post about this book is the description of how the first stellation of the rhombic dodecahedron can be dissected into six congruent pieces (and, in passing, that it can also fill space)
@zachweinersmith.bsky.social Hidden moon base, obviously 🙄
June 4, 2025 at 2:28 PM
@zachweinersmith.bsky.social Hidden moon base, obviously 🙄