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Code Issues Releases Wiki Activity

ternary tiling

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Zeno Rogue
2019-09-30 23:36:15 +02:00
parent a971ffd427
commit 255186840f
6 changed files with 101 additions and 21 deletions
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89
binary-tiling.cpp
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@@ -127,6 +127,12 @@ EX namespace binary {
else
h->emeraldval = ((parent->emeraldval - d1) * 7508 + 15015) % 15015;
}
if(geometry == gTernary) {
if(d < 2)
h->emeraldval = (parent->emeraldval * 3 + d) % 10010;
else
h->emeraldval = ((parent->emeraldval - d1) * 3337 + 2*10010) % 10010;
}
if(WDIM == 3 && h->c7) make_binary_lands(parent, h);
#if DEBUG_BINARY_TILING
xcode[h] = expected_xcode(parent, d);
@@ -239,6 +245,24 @@ EX namespace binary {
return path(h, 4, 2, {3, 4, 1});
}
}
case gTernary: {
switch(d) {
case 0: case 1: case 2:
return build(parent, d, 4, 6, d, 1);
case 4:
return build(parent, 4, parent->zebraval, 6, nextdir(3), -1);
case 3:
if(parent->zebraval < 2)
return path(h, 3, 5, {4, parent->zebraval + 1});
else
return path(h, 3, 5, {4, 3, 0});
case 5:
if(parent->zebraval > 0)
return path(h, 5, 3, {4, parent->zebraval - 1});
else
return path(h, 5, 3, {4, 5, 2});
}
}
#if MAXMDIM >= 4
case gBinary3: {
switch(d) {
@@ -506,6 +530,7 @@ EX namespace binary {
EX int updir() {
if(geometry == gBinary4) return 3;
if(geometry == gTernary) return 4;
if(geometry == gBinaryTiling) return 5;
if(penrose) return 0;
if(!binarytiling) return 0;
@@ -523,6 +548,14 @@ EX namespace binary {
direct_tmatrix[4] = parabolic(-1);
use_direct = 1+2+4+16;
}
if(geometry == gTernary) {
direct_tmatrix[0] = xpush(-log(3)) * parabolic(-1);
direct_tmatrix[1] = xpush(-log(3));
direct_tmatrix[2] = xpush(-log(3)) * parabolic(+1);
direct_tmatrix[3] = parabolic(1);
direct_tmatrix[5] = parabolic(-1);
use_direct = 1+2+4+8+32;
}
if(geometry == gBinary3) {
direct_tmatrix[0] = xpush(-log(2)) * parabolic3(-1, -1);
direct_tmatrix[1] = xpush(-log(2)) * parabolic3(1, -1);
@@ -892,24 +925,46 @@ EX hyperpoint get_corner_horo_coordinates(cell *c, int i) {
ld yx = log(2) / 2;
ld yy = yx;
ld xx = 1 / sqrt(2)/2;
if(geometry == gBinaryTiling) switch(gmod(i, c->type)) {
case 0: return point2(-yy, xx);
case 1: return point2(yy, 2*xx);
case 2: return point2(yy, xx);
case 3: return point2(yy, -xx);
case 4: return point2(yy, -2*xx);
case 5: return point2(-yy, -xx);
case 6: return point2(-yy, 0);
default: return point2(0, 0);
}
else switch(gmod(i, c->type)) {
case 0: return point2(yy, -2*xx);
case 1: return point2(yy, +0*xx);
case 2: return point2(yy, +2*xx);
case 3: return point2(-yy, xx);
case 4: return point2(-yy, -xx);
default: return point2(0, 0);
switch(geometry) {
case gBinaryTiling:
switch(gmod(i, c->type)) {
case 0: return point2(-yy, xx);
case 1: return point2(yy, 2*xx);
case 2: return point2(yy, xx);
case 3: return point2(yy, -xx);
case 4: return point2(yy, -2*xx);
case 5: return point2(-yy, -xx);
case 6: return point2(-yy, 0);
default: return point2(0, 0);
}
case gBinary4:
switch(gmod(i, c->type)) {
case 0: return point2(yy, -2*xx);
case 1: return point2(yy, +0*xx);
case 2: return point2(yy, +2*xx);
case 3: return point2(-yy, xx);
case 4: return point2(-yy, -xx);
default: return point2(0, 0);
}
case gTernary:
yy = log(3) / 2;
xx = 1 / sqrt(3) / 2;
switch(gmod(i, c->type)) {
case 0: return point2(yy, -3*xx);
case 1: return point2(yy, -1*xx);
case 2: return point2(yy, +1*xx);
case 3: return point2(yy, +3*xx);
case 4: return point2(-yy, xx);
case 5: return point2(-yy, -xx);
default: return point2(0, 0);
}
default:
return point2(0, 0);
}
return point2(0, 0);
}