Euler's formula is v + f = e + 2. This means that the number of vertices on a polygon added to the number of faces equals the number of edges plus 2.
But for a tetrahedron, v=4, f=4, and e=6, and 4+4 does not equal 6+2. So what is wrong?
For a picture of a tetrahedron see http://www.greenend.org.uk/rjk/junk/tetrahedron.png
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Question# 12521835
2007-01-26 16:26:42 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The most interesting part is your assertation that 4+4 does not equal 6+2!!!!
2007-01-26 16:34:05 · answer #1 · answered by Pretzels 5 · 1⤊ 0⤋
Please check your math.
4 + 4 = 6 + 2
Is a true statement. So the formula works.
2007-01-27 02:11:54 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋
I agree with pretzels. I added them up in my head and it seems to work out.
2007-01-27 01:07:31 · answer #3 · answered by modulo_function 7 · 0⤊ 0⤋