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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: New way of dealing with complex numbers
Date: Fri, 7 Mar 2025 22:28:34 -0800
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On 3/7/2025 10:17 PM, Chris M. Thomasson wrote:
> On 3/7/2025 3:34 PM, Richard Hachel wrote:
>> [...]
> 
> Try to start small. Create a Mandelbrot using traditional complex 
> numbers first. Then... Create another plot using your new version. Fwiw, 
> perhaps, my code can help you here. Can you run it on your end? Thanks:
> 
> https://fractallife247.com/
> 
> If so, be sure to click around... :^)
> 
> Does it work for you? ;^o

My vector math for this experiment:
___________________

// Vector Math
//__________________________________________
function ct_vec2_add(v0, v1) {
     return [v0[0] + v1[0], v0[1] + v1[1]];
}

function ct_vec2_sub(v0, v1) {
     return [v0[0] - v1[0], v0[1] - v1[1]];
}

function ct_vec2_mul(v0, v1) {
     return [v0[0] * v1[0], v0[1] * v1[1]];
}

function ct_vec2_mul_float(v0, v1) {
     return [v0[0] * v1, v0[1] * v1];
}

function ct_vec2_length(v0) {
     return Math.sqrt(v0[0] * v0[0] + v0[1] * v0[1]);
}

function ct_vec2_normal(v0) {
     var length = ct_vec2_length(v0);
     if (length == 0) return [0, 0];
     return [v0[0] / length, v0[1] / length];
}

function ct_vec2_copy(v0, v1) {
     v0[0] = v1[0];
     v0[1] = v1[1];
}

function ct_vec2_complex_mul(v0, v1) {
     var x = v0[0] * v1[0] - v0[1] * v1[1];
     var y = v0[0] * v1[1] + v0[1] * v1[0];
     return [x, y];
}

function ct_vec2_complex_abs(v0) {
     return ct_vec2_length(v0);
}

___________________

Notice the *_complex_* aspects?