A n-faced regular polyhedron consists of 2n edges and(2n-4) vertices. Find n.
步驟plz.
中1數學1題.thxxxxxxxx
2010-08-07 6:55 am
回答 (2)
2010-08-07 7:34 am
✔ 最佳答案
V + F = E + 22n-4 + n = 2n + 2
n=6
2010-08-07 8:28 am
By Euler's formula,
V - E + F = 2
(V:vertex E:edge F:face)
(2n-4) - 2n + n = 2
n = 6
V - E + F = 2
(V:vertex E:edge F:face)
(2n-4) - 2n + n = 2
n = 6
參考: Euler's formula
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