A while ago I posted this problem.

I wonder if there is a generalisation for such areas, with conditions such as

a) n, (n+k)-sided regular polygons

b) u, v-sided regular polygons

c) >2 regular polygons

The only trivial fact that I realize now is:

for two u, v-sided polygons and WLOG \(v>u\)

the v-sided polygon will cover \(\gcd\left(u, v\right)\) vertices of the u-sided polygon.

If v is a multiple of u then the u-sided polygon need not be considered.

But this is a very, very specific case :(

Any ideas?

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

There are no comments in this discussion.