I'm a professor of mathematics at the University of North Carolina Asheville. I've also done a fair amount of consulting work over the years focusing on scientific and data visualization.
I'm happy to be part of the first Observable Ambassador's cohort.
Public
Edited
Feb 18, 2024
1 fork
10 stars
function ITCnt(lambda, N = 100) {
let f = F(lambda);
return function it_cnt(z0) {
let n = 0;
let z = math.complex(z0);
while (z.abs() <= 42 && n < N) {
z = f(z);
n = n + 1;
}
return n;
};
}
function F(lambda) {
let Lambda = math.complex(lambda);
return (z) => Lambda.mul(z.mul(z.neg().add(1)));
}
function invF(Lambda) {
let lambda = math.complex(Lambda);
function inv(Z) {
let z = math.complex(Z);
let s = lambda.mul(z.mul(-4).add(lambda)).sqrt().div(lambda.mul(2));
return [s.add(0.5), s.mul(-1).add(0.5)];
}
return inv;
}
function inv5(Lambda) {
let lambda = math.complex(Lambda);
let invf = invF(lambda);
let invs = [math.complex(0.499, 0.000123)];
for (let i = 0; i < 5; i++) {
invs = invs.map(invf).flat();
}
return invs;
}
math = require("mathjs")
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