Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options answers only not deleted user 14830

Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

53 votes
Accepted

cube + cube + cube = cube

I show my construction below; you might want to try to find a solution yourself before proceeding $-$ it makes for a neat puzzle. There may well be other ways to do it. … QEF I guess that a physical model won't make for a hard puzzle to reconstitute into either one or three cubes (e.g. the AB, C, and D parts of the $6$-cube are independent) but would still make a nice …
Noam D. Elkies's user avatar
26 votes
Accepted

Irreversible chess

Here's an "irreversible chess" construction that's fundamentally different from the ones so far based on Ed Dean's scheme. The essential pieces and pawns are in boldface: Position A: White Kh1, Ra1, …
Noam D. Elkies's user avatar
19 votes

Irreversible chess

[Edited to include some 8-unit variations and a new 7-unit setting] [...and to report on another 7-unit setting by N.Predrag, and 6-unit variations by H.Reddmann] Ed Dean already gave a good example ( …
Noam D. Elkies's user avatar
11 votes
Accepted

Circumference of Convex Shapes

That's a standard inequality, though perhaps not well enough known for the usual "take it to stackexchange" comment. Denote by $\partial \Sigma$ the boundary of any set $\Sigma$ in the plane. In the …
Noam D. Elkies's user avatar
7 votes

Irreversible chess

[Edited to correct the final position (which didn't work before: 2 Bh1+! Bg2 3 Rf1 Bb1 etc.), and — while I'm at it — to remove a few superfluous pawns] Here's yet another mechanism, which also allows …
Noam D. Elkies's user avatar