void explore( Plot &pl, Mobius a, Mobius b,
Circle Ca, Circle Cb, Circle CA, Circle CB, int maxLevel){
Mobius A = a.inverse();
Mobius B = b.inverse();
Mobius gens[4] = {a, b, A, B};
int inverse[4] = {2, 3, 0, 1};
int level = 0;
Circle circs[4] = {Ca, Cb, CA, CB};
for(int i=0; i<4; ++i){
pl.circle(circs[i].centre, circs[i].radius, colScale(level, maxLevel));
//pl.show();
recursiveExplore(pl, gens[i], i, gens, circs, inverse, level, maxLevel);
}
}
void recursiveExplore( Plot &pl,
Mobius map,
int j,
Mobius gens[4],
Circle circs[4],
int inverse[4],
int level,
int maxLevel) {
Circle image;
for (int i=0; i<4; ++i){
if(i != inverse[j]){
image = map.circleImage(circs[i]);
pl.circle(image.centre, image.radius, colScale(level, maxLevel));
//pl.show();
//cv::waitKey(0);
if( level < maxLevel ){
recursiveExplore(pl, map.after(gens[i]), i, gens, circs, inverse, level+1, maxLevel);
}
}
}
}
