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Look at how the 4th order goes
extend to 5th
The numbers give which power of each of x, y and z are in each term.
To extend further, count down in base n (eg 6th order use base 6) from n00
to get each term.
4th and 5th inserted for 5th only
(delete three tabs before each)
x^ y z^ x^ y^ z^
5 0 0
4 1 0
4 0 0
4 0 0
3 2 0
3 1 1
3 1 0
3 0 2
3 0 1
3 0 0
2 3 0
2 2 1
2 2 0
2 1 2
2 1 1
2 1 0
2 0 3
2 0 2
2 0 1
2 0 0
1 4 0
1 3 1
1 3 0
1 2 2
1 2 1
1 2 0
1 1 3
1 1 2
1 1 1
1 1 0
1 0 4
1 0 3
1 0 2
1 0 1
1 0 0
0 5 0
0 4 1
0 4 0
0 3 2
0 3 1
0 3 0
0 2 3
0 2 2
0 2 1
0 2 0
0 1 4
0 1 3
0 1 2
0 1 1
0 1 0
0 0 5
0 0 4
0 0 3
0 0 2
0 0 1
0 0 0
--
Tristan Wibberley
(Remove the '.NO_LUNCHEON_MEAT' from my
email address to reply.)
Stephen Horn <hor### [at] osuedu> wrote in article
<34caf672.308033992@news.povray.org>...
| POV-Ray v3.02 can render up to 7th-degree polynomial surfaces.
|
| The documentation does not say what the coefficents are in the order
| that they need to be in a poly{} statement. They have great examples
| for quartics of degree 4, but for 5th, 6th, and 7th there is nothing
| in any of the help files or the documentation!
|
| What are the surface coefficents in order???
| Thank you for your help!
|
|
| SteveH
|
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