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mestny
11 days ago
15

Given a regular octagon, in how many ways can we color one diagonal red and another diagonal blue so that the two colored diagon

als cross (in the interior)? Consider rotations and reflections distinct.
Mathematics
1 answer:
zzz [9K]11 days ago
7 0

Answer:

Rotation = 1.

Reflection = 5 or 4.

Step-by-step explanation:

A regular octagon is defined as an octagon with eight equal sides.

To appropriately color one diagonal red and the other blue, ensuring they intersect (inside), we can follow these steps:

=> First, color one diagonal red.

=> Fix the position of another end.

=> Identify the possibilities.

The outcome can be derived from Burnside's Lemma resulting in Rotation = 1 and Reflection = 5 or 4.

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