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JavaScript

function A(s){P='<svg width=800 height=800><g fill=none stroke=red transform=translate(400,400)>';Q=[];s=eval(s);S=-400*s[0][0];function d(c){P+='<circle r='+Math.abs(S/c[0])+' cx='+S*c[1]/c[0]+' cy='+S*c[2]/c[0]+' />'}for(c=4;c--;d(s[0]),s.push(s.shift()))Q.push(s.slice());for(;s=Q.shift();d(c)){c=[];for(i=4;i--;)c[i]=2*(s[0][i]+s[1][i]+s[2][i])-s[3][i];for(i=6;c[0]<S&&i;)Q.push([s[i--%3],s[i--%3],c,s[i%3]])}document.body.innerHTML=P}

A('[[-6, 0, 0], [10, 2/3, 0], [15, -3/2, 0], [19, -5/6, 2]]');

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JSFiddle - React, Tailwind, and code Playground

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