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Aug
17
comment Number of ways to partition a rectangle into n sub-rectangles
@IlmariKaronen Thanks for reporting the broken url. I cannot find the image in my computer or cached anywhere on the internet. I have removed the link above for now.
Aug
17
revised Number of ways to partition a rectangle into n sub-rectangles
Remove the broken image url
Sep
24
awarded  Autobiographer
Feb
27
awarded  Notable Question
Dec
23
awarded  Nice Answer
Jun
24
revised How do we show the equality of these two summations?
edited body
Sep
17
awarded  Commentator
Sep
17
comment A challenge by R. P. Feynman: give counter-intuitive theorems that can be translated into everyday language
I feel the same for Napoleon's theorem en.wikipedia.org/wiki/Napoleon%27s_Theorem
Apr
19
awarded  Popular Question
Feb
27
awarded  Yearling
Feb
18
awarded  Nice Answer
Nov
1
answered How do we show the equality of these two summations?
Feb
2
awarded  Nice Question
Nov
2
accepted Number of ways to partition a rectangle into n sub-rectangles
Nov
2
comment Number of ways to partition a rectangle into n sub-rectangles
1, 2, 6, 15 are exactly the numbers I have when I count by hands (including all rotations and reflections.) I will appreciate if you can share the recurrence relation or point me to a publication.
Aug
8
comment Number of ways to partition a rectangle into n sub-rectangles
Interesting but I wonder if your graph representation will be sufficient. From the second example above, sliding the partitions the other way around from "clockwise" to "counter-clockwise" will result in another way to partition with the exactly same graph.
Aug
5
comment Number of ways to partition a rectangle into n sub-rectangles
@Jens It doesn't matter where exactly the lines are. What matters is the overall form.
Aug
4
awarded  Teacher
Jul
30
comment Watchdog Problem
I indeed forgot. Thanks.
Jul
30
revised Watchdog Problem
added 9 characters in body; edited tags; added 2 characters in body