Newton's cubic Fractal help. Plotting

asked 2011-12-14 21:44:19 +0100

rower9911
5 ●1 ●5

updated 2011-12-14 22:40:44 +0100

I'm solving newton's cubic for all the black points that occur within the fractal:

I have the code:

LA(x) = x - (x^3.0-1)/(3.0*x^2.0) S = solve(LA==0,x) for s in S: solve(LA == s.rhs(),x)

and i want to take all those points I'm generating and plot them in a scatter plot. I think I have to use an array? Can anyone tell me exactly how I tell sage to put these points in an array then plot them? Thanks everyone for your help

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answered 2011-12-15 13:37:20 +0100

Shashank

1917 ●31 ●53 ●84

LA(x) = x - (x^3.0-1.0)/(3.0*x^2.0) 
S = solve(LA==0,x) 
n=0
for s in S: 
    a=solve(LA == s.rhs(),x)
    n=n+1
point([a[i].rhs().n().real(),a[i].rhs().n().imag()] for i in range(n))

Does this help?

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Asked: 2011-12-14 21:44:19 +0100

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Last updated: Dec 15 '11

Newton's cubic Fractal help. Plotting edit

1 Answer