SOLUTION: I know that the diagonals of the regular icosahedron are 160. But without counting directly, how can we find out the number of diagonals of the regular icosahedron?

Question 1127903: I know that the diagonals of the regular icosahedron are 160. But without counting directly, how can we find out the number of diagonals of the regular icosahedron?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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For accurate and intelligent discussion see

https://answers.yahoo.com/question/index?qid=20120319201612AATpYEa

In all, a regular icosahedron has 36 "interior diagonals".

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Comment from student : Thank for your reply. Hence, the number of diagonals of a regular icosahedron is 36, instead of 160?
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My responce : Yes, 36 "interior diagonals".

In addition to the link I provided to you, look into beautiful figures (pictures) in this Wikipedia article

https://en.wikipedia.org/wiki/Regular_icosahedron

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