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5
Dodecagon
Dodecagon
Source:
November 28, 2005
rotation
Problem Statement
Let
A
1
,
A
2
,
A
3
,
…
,
A
12
A_1, A_2, A_3, \ldots, A_{12}
A
1
,
A
2
,
A
3
,
…
,
A
12
be the vertices of a regular dodecagon. How many distinct squares in the plane of the dodecagon have at least two vertices in the set
{
A
1
,
A
2
,
A
3
,
…
,
A
12
}
?
\{A_1,A_2,A_3,\ldots,A_{12}\}?
{
A
1
,
A
2
,
A
3
,
…
,
A
12
}?
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