10sin(tan(z^2+c)) is really cool

The answer is that the reference point selected (c in the below) has to be inside the Mandelbrot set (so that |z| <= 2.0 in the below.) See https://dirkwhoffmann.github.io/DeepDrill/docs/Theory/Perturbation.html for details. So, basically, z needs to be reset if it grows too large. I'm figuring out the code for that now.
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Here's my shadertoy code. Works just fine, iTime gets up to around 85.0 before any artifacts occur.

But it only works for c = (xx, 0)! If I move the center elsewhere, e.g., (-1.45, .001), the iteration fails -- the result is either 0 or MAXITER.

I've stared at the code and double checked the math and cannot see the error.

Why does this work only for c = x + 0i ?

vec2 cmul(vec2 a, vec2 b)
{
    return vec2(dot(a,vec2(1.0,-1.0)*b),dot(a,b.yx));
}

// zoom center
const vec2 c = vec2(-1.45,0.0);  

const int MAXITER = 2000;
const float PI = 3.14159265;

void mainImage( out vec4 fragColor, in vec2 fragCoord )
{
    vec2 uv = (2.0*fragCoord-iResolution.xy)/iResolution.y;
    float zoom = exp(iTime * 1.0);    
    vec2 dc = uv / zoom;
    vec2 z = vec2(0.0);
    vec2 dz = vec2(0.0);
    int n;
    for (n=0; n<MAXITER; ++n)
    {
        dz = cmul(2.0*z+dz, dz) + dc;  
        z = cmul(z,z) + c;
        if (dot(z+dz,z+dz) > 4.0)
            break;
    }
    float x = float (n & 255) / 255.0;                    
    fragColor = vec4(cos ((x - 2.0/6.0) * PI),
                     cos ((x - 3.0/6.0) * PI),
                     cos ((x - 4.0/6.0) * PI), 1.0);      
}

The length between two ends of the superdupercoil would be infinite

I found this artist on X and I really like this type of abstract artwork, Is there anybody here knows how to create this? if so please help provide and info or maybe theres a tutorial link?

ps: I ask em and he said that this is a "fractal renders"

For my friend Charlie u/optecs