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?

Algebra ->  Surface-area -> 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?      Log On


   

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) About Me  (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