SOLUTION: So I have determined that by using Leonhard Euler's formula for polygon division
T(6) = 14
T(7) = 42 and
T(8) = 132
however I am confused about how T(n) changes when you ign
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Polygons
-> SOLUTION: So I have determined that by using Leonhard Euler's formula for polygon division
T(6) = 14
T(7) = 42 and
T(8) = 132
however I am confused about how T(n) changes when you ign
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Question 744948: So I have determined that by using Leonhard Euler's formula for polygon division
T(6) = 14
T(7) = 42 and
T(8) = 132
however I am confused about how T(n) changes when you ignore distinct vertices.
Could you explain how to find T(n) while ignoring said vertices.
Note: I'm not looking for the answer but rather an explanation on how to reach the answer.
Thanks! Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! So Euler asked the following question
In how many ways can a plane convex polygon of n sides be divided into
triangles by diagonals?
and his formula is
En = 2*6*10***(4n-10) / (n-1)!
when dividing the polygon into triangles we, of course, ignore some distant vertices when we draw the diagonals......
