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aperiodic hat: formulas for the shape, better centering

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Zeno Rogue 2023-03-24 19:12:07 +01:00
parent 8efec97b24
commit 8dfa0efbcf
1 changed files with 25 additions and 19 deletions
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42
aperiodic-hat.cpp
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@ -400,27 +400,33 @@ struct hrmap_hat : hrmap {
vector<hyperpoint> hatcorners[2];
void init() {
auto pt = hpxy;
hatcorners[0] = {
pt(-1.1160254038,1.4330127019),
pt(-0.0915063509,2.0245190528),
pt(0.2500000000,1.4330127019),
pt(-0.0915063509,0.8415063509),
pt(0.9330127019,0.2500000000),
pt(0.9330127019,-0.9330127019),
pt(0.2500000000,-0.9330127019),
pt(-0.0915063509,-1.5245190528),
pt(-1.1160254038,-0.9330127019),
pt(-2.1405444566,-1.5245190528),
pt(-2.4820508076,-0.9330127019),
pt(0,0),
pt(-1.7990381057,0.2500000000),
pt(-1.1160254038,0.2500000000),
transmatrix T = Id;
auto move = [&] (ld angle, ld dist) {
hatcorners[0].push_back(T * C0);
T = T * spin(angle * degree);
T = T * xpush(dist);
};
hatcorners[0][11] = mid(hatcorners[0][10], hatcorners[0][12]);
ld eshort = 0.5;
ld elong = sqrt(3) * eshort;
move(-90, eshort); move( 60, eshort); move( 0, eshort);
move( 60, eshort); move( 90, elong); move(-60, elong);
move( 90, eshort); move(-60, eshort); move( 90, elong);
move( 60, elong); move(-90, eshort); move( 60, eshort);
move( 90, elong); move(60, elong);
hyperpoint ctr = C0;
for(auto h: hatcorners[0]) ctr += h;
ctr /= isize(hatcorners[0]);
normalize(ctr);
for(auto& h: hatcorners[0]) h = gpushxto0(ctr) * h;
hatcorners[1] = hatcorners[0];
for(auto& h: hatcorners[1]) h = MirrorX * h;
reverse(hatcorners[0].begin(), hatcorners[0].end());
reverse(hatcorners[1].begin(), hatcorners[1].end());
}
constexpr static int relations = 34;