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Omni-MATH / The 30 edges of a regular icosahedron are distinguished by labeling them…

Problem

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problem

The 30 edges of a regular icosahedron are distinguished by labeling them 1,2,…,301,2,\dots,30. How many different ways are there to paint each edge red, white, or blue such that each of the 20 triangular faces of the icosahedron has two edges of the same color and a third edge of a different color?
Plain-text mathematical notation (without MathML)
The 30 edges of a regular icosahedron are distinguished by labeling them 1,2,…,30. How many different ways are there to paint each edge red, white, or blue such that each of the 20 triangular faces of the icosahedron has two edges of the same color and a third edge of a different color?
Original LaTeX notation
The 30 edges of a regular icosahedron are distinguished by labeling them $1,2,\dots,30$. How many different ways are there to paint each edge red, white, or blue such that each of the 20 triangular faces of the icosahedron has two edges of the same color and a third edge of a different color?

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Source and history

task_id
e5241e38-6fad-51f7-b402-7d6c0e07b662
task_key
test--e5241e38-6fad-51f7-b402-7d6c0e07b662
task_revision_id
1
config / split
/ test

Official source

initial import