04The six-fold mirror — fold by 60 degrees and grow six times faster
Simulate only one 60-degree sector and rotate-copy the other five — a sixth of the compute, and a perfectly symmetric flake.
Best forLoading-progress crystal, big canvases that need the savings
rotateImageDatarequestAnimationFrame
<main class="stage">
<div class="cd is-demo" id="cdRoot">
<p class="cd__hint">
<svg class="cd__ico" viewBox="0 0 256 256" aria-hidden="true"><g fill="none" stroke="currentColor" stroke-width="22" stroke-linecap="round"><path d="M128 28v200"/><path d="M45 76l166 104"/><path d="M211 76L45 180"/></g></svg>
<span>Only one 60-degree fan-shaped sector is simulated, and the rest is filled in by rotating and mirroring it — the computation drops to 1/6 while a perfectly symmetric hexagonal crystal still grows</span>
</p>
<div class="cd__field" id="cdField" role="application" aria-label="Six-Fold Symmetry Crystal Demo" tabindex="0">
<canvas class="cd__cv" id="cdCv"></canvas>
</div>
<div class="cd__bar">
<span class="cd__meta">sectors <b class="cd__val" id="cdSector"></b> · stamps <b class="cd__val" id="cdCopies"></b> · aggregated <b class="cd__val" id="cdRate"></b>/sec</span>
<span class="cd__meta cd__meta--dim">Canvas · rotate · ImageData</span>
</div>
</div>
</main>@use "../../../../site/static/demo-tokens" as *;
// 육중 대칭 거울(04). @keyframes 를 아예 두지 않는다 — 움직임은 전부 캔버스 rAF 루프
// (섹터 DLA 응집 + 회전·거울 도장 + 배경 오로라 맥동 + 부유 수증기)가 만든다.
// 무대는 한겨울 밤잉크. 파스텔 팔레트를 --flake-* 로 편다(편 319 공통 규격).
$duration: $dur-loop;
$easing: $ease-spring;
$color: $subject-lilac;
@include stage($stage-ink);
// ── 편 공통 파스텔 팔레트(BD9~11 원칙: 편마다 다시 정하지 않는다) ──
$flake-ink: #20242e; // 한겨울 밤 무대 — 316 bolt 보다 푸른 잉크
$flake-dusk: #4a516e; // 슬레이트
$flake-core: #f4f0fa; // 결정 코어 — 서리 화이트
$flake-halo: #b8cce8; // 헤일로 아이스블루
$flake-mint: #c8e0d8; // 민트 보조
$flake-sky: #a4bcd8; // 스카이 보조
$flake-mist: #dce8f4; // 서리 안개
.cd {
// 렌더러가 읽는 색 — JS 는 getComputedStyle 로 --flake-* 를 받아 쓴다
--flake-ink: #{$flake-ink};
--flake-dusk: #{$flake-dusk};
--flake-core: #{$flake-core};
--flake-halo: #{$flake-halo};
--flake-mint: #{$flake-mint};
--flake-sky: #{$flake-sky};
--flake-mist: #{$flake-mist};
display: flex; flex-direction: column; gap: $sp-2;
width: 100%; max-width: 424px;
}
.cd__hint {
display: flex; align-items: center; gap: $sp-1; margin: 0;
font-weight: 700; font-size: clamp(10px, 2.8vw, 12px); line-height: 1.35;
color: $flake-mist; // 잉크 무대 위 — 서리 톤 글자
}
.cd__ico { width: 16px; height: 16px; flex: 0 0 auto; color: $flake-halo; }
.cd__field {
position: relative; height: 180px;
border-radius: $r-card; overflow: hidden;
background: $flake-ink;
box-shadow: inset 0 0 0 1px rgba($flake-mist, .18);
}
.cd__field:focus-visible { outline: 2px solid $flake-halo; outline-offset: 2px; }
.cd__cv { display: block; width: 100%; height: 100%; }
.cd__bar { display: flex; align-items: baseline; justify-content: space-between; gap: $sp-2; }
.cd__meta { font-size: 10px; font-weight: 500; color: rgba($flake-mist, .72); }
.cd__val { color: $flake-halo; font-weight: 700; } // 잉크 위 아이스블루 라벨
.cd__meta--dim { font-size: 10px; }
@media (max-width: 340px) {
.cd { gap: $sp-1; }
.cd__field { height: 100px; }
.cd__meta--dim { display: none; }
}
// reduce — rAF 를 돌리지 않고 결정이 자라난 한 장만 남는다.
@media (prefers-reduced-motion: reduce) {
.cd.is-still .cd__field { cursor: default !important; }
}html, body {
margin: 0;
overflow: hidden;
}
.stage {
box-sizing: border-box;
min-height: 100vh;
display: grid;
place-items: center;
margin: 0;
background: #17141a;
font-family: -apple-system, "Segoe UI", "Noto Sans KR", sans-serif;
padding: clamp(8px, 4vw, 24px);
}
.cd {
--flake-ink: #20242e;
--flake-dusk: #4a516e;
--flake-core: #f4f0fa;
--flake-halo: #b8cce8;
--flake-mint: #c8e0d8;
--flake-sky: #a4bcd8;
--flake-mist: #dce8f4;
display: flex;
flex-direction: column;
gap: 8px;
width: 100%;
max-width: 424px;
}
.cd__hint {
display: flex;
align-items: center;
gap: 4px;
margin: 0;
font-weight: 700;
font-size: clamp(10px, 2.8vw, 12px);
line-height: 1.35;
color: #dce8f4;
}
.cd__ico {
width: 16px;
height: 16px;
flex: 0 0 auto;
color: #b8cce8;
}
.cd__field {
position: relative;
height: 180px;
border-radius: 16px;
overflow: hidden;
background: #20242e;
box-shadow: inset 0 0 0 1px rgba(220, 232, 244, 0.18);
}
.cd__field:focus-visible {
outline: 2px solid #b8cce8;
outline-offset: 2px;
}
.cd__cv {
display: block;
width: 100%;
height: 100%;
}
.cd__bar {
display: flex;
align-items: baseline;
justify-content: space-between;
gap: 8px;
}
.cd__meta {
font-size: 10px;
font-weight: 500;
color: rgba(220, 232, 244, 0.72);
}
.cd__val {
color: #b8cce8;
font-weight: 700;
}
.cd__meta--dim {
font-size: 10px;
}
@media (max-width: 340px) {
.cd {
gap: 4px;
}
.cd__field {
height: 100px;
}
.cd__meta--dim {
display: none;
}
}
@media (prefers-reduced-motion: reduce) {
.cd.is-still .cd__field {
cursor: default !important;
}
}// 육중 대칭 거울(04). 60도 sectors 하나에서만 DLA 랜덤워크를 돌린다. 입자가 섹터를 벗어나면
// 각도를 60도 주기로 접어(회전 접기) 안으로 되돌려 보내고, 붙은 셀은 화면에 그릴 때
// 여섯 방향 회전 + 거울(±각) 도장 12장으로 펼친다. 시뮬레이션 비용은 1/6 인데 대칭은
// 픽셀 하나 안 어긋난다 — 눈결정이 원래 가진 D6 대칭(회전 6 × 거울) 그대로.
// 화면은 매 프레임 배경 그라디언트 + 오로라 맥동 + 부유 입자 + 결정 도장을 ImageData 한 장으로 다시 쓴다.
(function () {
// ── 변형 상수 블록 — 아래 값 하나만 바꿔 변형 3종을 만든다 ──
var SECTOR_DEG = 60; // sectors 각(도) — 변형 "대칭 접기" 축(60 → 30, 도장 수는 360/각×2)
var SPS = 320; // 초당 응집 입자 수 — 변형 "여섯 배 속도" 축(90 → 320)
var N = 44; // sectors grid cells 반경(셀 수) — 셀이 커질수록 결정이 화면을 넓게 채운다
// ────────────────────────────────────────────────────
var SECTOR = SECTOR_DEG * Math.PI / 180;
var COPIES = Math.round(360 / SECTOR_DEG);
var root = document.getElementById('cdRoot');
var field = document.getElementById('cdField');
var cv = document.getElementById('cdCv');
var ctx = cv.getContext('2d');
document.getElementById('cdSector').textContent = SECTOR_DEG + '°';
document.getElementById('cdCopies').textContent = String(COPIES * 2);
document.getElementById('cdRate').textContent = String(SPS);
// 시드 고정 PRNG — mulberry32
var SEED = 0x3190404;
var prngState = SEED >>> 0;
function rand() {
prngState = (prngState + 0x6D2B79F5) >>> 0;
var t = prngState;
t = Math.imul(t ^ (t >>> 15), t | 1);
t ^= t + Math.imul(t ^ (t >>> 7), t | 61);
return ((t ^ (t >>> 14)) >>> 0) / 4294967296;
}
// 색은 scss 의 --flake-* 커스텀 프로퍼티에서 받는다 — 파스텔 토큰이 scss 한 곳에
var css = getComputedStyle(root);
function tokRGB(name) {
var s = css.getPropertyValue(name).trim();
var hx = s.length === 4
? s.charAt(1) + s.charAt(1) + s.charAt(2) + s.charAt(2) + s.charAt(3) + s.charAt(3)
: s.slice(1);
return [parseInt(hx.slice(0, 2), 16), parseInt(hx.slice(2, 4), 16), parseInt(hx.slice(4, 6), 16)];
}
var C_INK = tokRGB('--flake-ink');
var C_DUSK = tokRGB('--flake-dusk');
var C_CORE = tokRGB('--flake-core');
var C_HALO = tokRGB('--flake-halo');
var C_MINT = tokRGB('--flake-mint');
var C_SKY = tokRGB('--flake-sky');
var C_MIST = tokRGB('--flake-mist');
// LUT — 나이 t(0=코어 쪽 오래된 셀, 1=막 붙은 팁)를 잉크→어스름→라일락→코어→흰끼 ramp 로
var lutR = new Uint8ClampedArray(256), lutG = new Uint8ClampedArray(256), lutB = new Uint8ClampedArray(256);
function buildLUT() {
var m = [0, 0.30, 0.60, 0.86, 1];
var cs = [
[C_INK[0], C_INK[1], C_INK[2]],
[C_INK[0] + (C_DUSK[0] - C_INK[0]) * 0.7, C_INK[1] + (C_DUSK[1] - C_INK[1]) * 0.7, C_INK[2] + (C_DUSK[2] - C_INK[2]) * 0.7],
[C_HALO[0], C_HALO[1], C_HALO[2]],
[C_CORE[0], C_CORE[1], C_CORE[2]],
[255, 253, 255]
];
for (var i = 0; i < 256; i++) {
var t = i / 255, k = 0;
while (k < 3 && t > m[k + 1]) k++;
var f = (t - m[k]) / (m[k + 1] - m[k] || 1);
lutR[i] = cs[k][0] + (cs[k + 1][0] - cs[k][0]) * f;
lutG[i] = cs[k][1] + (cs[k + 1][1] - cs[k][1]) * f;
lutB[i] = cs[k][2] + (cs[k + 1][2] - cs[k][2]) * f;
}
}
// ── sectors grid cells — 꼭짓점(결정 중심)을 원점, +y 방향 ±30도 부채꼴 ──
var WS = 2 * N + 8, HS = N + 6, AX = N + 4, AY = 2;
var occ = new Uint8Array(WS * HS);
var cells = []; // 붙은 셀 [각도, 반경, 순서] 납작 배열 — 도장할 때 그대로 순회
var order = 0, maxR = 1.5;
var phase = 0; // 0 자라기 · 1 샤인(다 자란 뒤 반짝임) · 리셋
var shineT = 0;
var walkers = []; // {fx, fy} — 꼭짓점 기준 상대 좌표
var gRot = 0; // 결정 전체의 느린 자전(도 단위로 치면 분당 몇 바퀴)
var WALKERS = 42;
// 각도를 sectors(-SECTOR/2 .. SECTOR/2)로 60도 cycle 접는다 — 회전 접기(C6). 걸음이 부채꼴을
// 나가도 접혀 안으로 되돌아오므로 시뮬레이션 공간이 sectors 하나로 끝난다.
function foldTh(th) {
var P = SECTOR, m = (th + P * 0.5) % P;
if (m < 0) m += P;
return m - P * 0.5;
}
// 상대 좌표 → 접힌 (각도, 반경)
function fold(fx, fy) {
var r = Math.sqrt(fx * fx + fy * fy);
var th = r < 1e-9 ? 0 : foldTh(Math.atan2(fx, fy));
return [th, r];
}
function cellOcc(fx, fy) {
var fo = fold(fx, fy);
if (fo[1] > N) return 0;
var gx = AX + Math.round(Math.sin(fo[0]) * fo[1]);
var gy = AY + Math.round(Math.cos(fo[0]) * fo[1]);
if (gx < 1 || gx >= WS - 1 || gy < 1 || gy >= HS - 1) return 0;
return occ[gy * WS + gx];
}
function respawn(w) {
var r0 = Math.min(maxR + 12, N - 1);
var a = (rand() * 2 - 1) * (SECTOR * 0.46);
w.fx = Math.sin(a) * r0;
w.fy = Math.cos(a) * r0;
}
var DX = [1, -1, 0, 0], DY = [0, 0, 1, -1];
function stepWalker(w) {
var d = (rand() * 4) | 0;
w.fx += DX[d]; w.fy += DY[d];
var fo = fold(w.fx, w.fy);
if (fo[1] > N) { respawn(w); return false; }
var gx = AX + Math.round(Math.sin(fo[0]) * fo[1]);
var gy = AY + Math.round(Math.cos(fo[0]) * fo[1]);
if (gx < 1 || gx >= WS - 1 || gy < 1 || gy >= HS - 1) { respawn(w); return false; }
var idx = gy * WS + gx;
if (occ[idx]) return false;
// 이웃 접촉 — 이웃도 접어서 본다(부채꼴 경계 너머 접촉을 놓치지 않게)
var nc = cellOcc(w.fx + 1, w.fy) + cellOcc(w.fx - 1, w.fy) + cellOcc(w.fx, w.fy + 1) + cellOcc(w.fx, w.fy - 1);
if (!nc) return false;
// 팁 쪽에 잘 붙게 — 이웃이 많은 자리(움푹한 곳)는 붙을 확률을 낮춘다(수지상 가지)
var p = nc === 1 ? 1.0 : nc === 2 ? 0.62 : nc === 3 ? 0.22 : 0.10;
if (rand() >= p) { respawn(w); return false; }
occ[idx] = 1;
cells.push(fo[0], fo[1], order);
order++;
if (fo[1] > maxR) maxR = fo[1];
respawn(w);
return true;
}
function resetSim() {
occ.fill(0);
cells = [];
order = 0;
maxR = 3;
phase = 0;
shineT = 0;
// 씨앗 — 꼭짓점에서 +y 로 세 셀(중심축)
for (var s = 1; s <= 3; s++) { occ[(AY + s) * WS + AX] = 1; cells.push(0, s, order); order++; }
walkers = [];
for (var i = 0; i < WALKERS; i++) { var w = { fx: 0, fy: 0 }; respawn(w); walkers.push(w); }
}
// ── 화면 ──
var W = 0, H = 0, img = null;
var motes = []; // 부유 수증기 — 결정 중심으로 흘러들며 먹이가 된다
var MOTES = 90;
function spawnMote(m, edge) {
var side = (rand() * 4) | 0;
if (side === 0) { m.x = rand() * W; m.y = edge ? -4 : rand() * H; }
else if (side === 1) { m.x = edge ? W + 4 : rand() * W; m.y = rand() * H; }
else if (side === 2) { m.x = rand() * W; m.y = edge ? H + 4 : rand() * H; }
else { m.x = edge ? -4 : rand() * W; m.y = rand() * H; }
m.c = rand();
}
function fit() {
var r = field.getBoundingClientRect();
W = Math.max(2, Math.round(r.width));
H = Math.max(2, Math.round(r.height));
cv.width = W; cv.height = H;
img = ctx.createImageData(W, H);
var d = img.data;
for (var i = 3; i < d.length; i += 4) d[i] = 255;
prngState = SEED >>> 0;
gRot = 0;
motes = [];
for (var m = 0; m < MOTES; m++) { var mo = { x: 0, y: 0, c: 0 }; spawnMote(mo, false); motes.push(mo); }
resetSim();
}
function sim(dt) {
if (phase === 1) {
shineT += dt;
if (shineT > 950) resetSim();
return;
}
var quota = SPS * dt / 1000; // 이번 프레임에 붙일 입자 수(시간 비례)
var stuck = 0, steps = 0, maxSteps = (dt / 16.7) * WALKERS * 9;
while (stuck < quota && steps < maxSteps) {
for (var i = 0; i < walkers.length; i++) {
if (stepWalker(walkers[i])) stuck++;
steps++;
if (stuck >= quota || steps >= maxSteps) break;
}
}
if (maxR > N - 2) { phase = 1; shineT = 0; }
}
// 알파 블렌드 도장 — img 위에 직접(배경은 이미 그려져 있다)
function stamp(px, py, R, G, B, a) {
var x = px | 0, y = py | 0;
if (x < 0 || x >= W || y < 0 || y >= H) return;
var j = (y * W + x) << 2, d = img.data;
d[j] = d[j] * (1 - a) + R * a;
d[j + 1] = d[j + 1] * (1 - a) + G * a;
d[j + 2] = d[j + 2] * (1 - a) + B * a;
}
function stampSoft(px, py, R, G, B, a) {
// 5×5 옅은 헤일로 → 3×3 반투명 → 중심 진하게
var x = px | 0, y = py | 0;
for (var yy = y - 2; yy <= y + 2; yy++)
for (var xx = x - 2; xx <= x + 2; xx++)
stamp(xx, yy, C_HALO[0], C_HALO[1], C_HALO[2], a * 0.10);
for (var y2 = y - 1; y2 <= y + 1; y2++)
for (var x2 = x - 1; x2 <= x + 1; x2++)
stamp(x2, y2, R, G, B, a * 0.42);
stamp(x, y, R, G, B, Math.min(1, a));
}
var fr = 0;
function compose() {
var d = img.data;
// ① 배경 — 세로 그라디언트(잉크→어스름) + 움직이는 오로라 얼룩 네 개(결정 주위 수증기 빛)
var topR = C_INK[0] + 6, topG = C_INK[1] + 6, topB = C_INK[2] + 9;
var botR = C_INK[0] + (C_DUSK[0] - C_INK[0]) * 0.34, botG = C_INK[1] + (C_DUSK[1] - C_INK[1]) * 0.34, botB = C_INK[2] + (C_DUSK[2] - C_INK[2]) * 0.34;
var a1x = W * (0.18 + 0.10 * Math.sin(fr * 0.011)), a1y = H * (0.24 + 0.12 * Math.cos(fr * 0.013));
var a2x = W * (0.84 + 0.09 * Math.cos(fr * 0.009)), a2y = H * (0.28 + 0.10 * Math.sin(fr * 0.015));
var a3x = W * (0.24 + 0.08 * Math.cos(fr * 0.012 + 2)), a3y = H * (0.82 + 0.09 * Math.sin(fr * 0.010 + 1));
var a4x = W * (0.78 + 0.10 * Math.sin(fr * 0.008 + 4)), a4y = H * (0.78 + 0.11 * Math.cos(fr * 0.014 + 3));
var p1 = 0.085 + 0.050 * Math.sin(fr * 0.021);
var p2 = 0.075 + 0.045 * Math.cos(fr * 0.017);
var p3 = 0.070 + 0.040 * Math.sin(fr * 0.019 + 2);
var p4 = 0.080 + 0.048 * Math.cos(fr * 0.016 + 1);
var sig = 1 / (H * H * 0.55);
for (var y = 0; y < H; y++) {
var ty = y / H;
var br = topR + (botR - topR) * ty, bg = topG + (botG - topG) * ty, bb = topB + (botB - topB) * ty;
var row = y * W;
for (var x = 0; x < W; x++) {
var dx1 = x - a1x, dy1 = y - a1y, dx2 = x - a2x, dy2 = y - a2y;
var dx3 = x - a3x, dy3 = y - a3y, dx4 = x - a4x, dy4 = y - a4y;
var g = p1 * Math.exp(-(dx1 * dx1 + dy1 * dy1) * sig)
+ p2 * Math.exp(-(dx2 * dx2 + dy2 * dy2) * sig)
+ p3 * Math.exp(-(dx3 * dx3 + dy3 * dy3) * sig)
+ p4 * Math.exp(-(dx4 * dx4 + dy4 * dy4) * sig);
var j = (row + x) << 2;
d[j] = br + (C_HALO[0] - br) * g;
d[j + 1] = bg + (C_HALO[1] - bg) * g;
d[j + 2] = bb + (C_HALO[2] - bb) * g;
}
}
// ② 결정 도장 — sectors 셀 하나를 회전 COPIES + 거울(±각) 2배 = COPIES*2 장으로 펼친다
var cx = W / 2, cy = H / 2;
var scale = (Math.min(W, H) / 2 - 8) / N;
var shineWave = phase === 1 ? shineT * 0.018 : 0;
for (var i = 0; i < cells.length; i += 3) {
var th = cells[i], r = cells[i + 1], q = order > 1 ? cells[i + 2] / order : 1;
var li = 0.40 + 0.60 * q; // 새 팁일수록 밝다
if (phase === 1) li += 0.30 * Math.sin(shineWave - r * 0.22); // 샤인 — 반경 파동
if (li < 0) li = 0; else if (li > 1) li = 1;
var ci = (li * 255) | 0;
var R = lutR[ci], G = lutG[ci], B = lutB[ci];
var rr = r * scale;
for (var k = 0; k < COPIES; k++) {
var base = gRot + k * SECTOR;
stampSoft(cx + rr * Math.sin(base + th), cy + rr * Math.cos(base + th), R, G, B, 0.85);
stampSoft(cx + rr * Math.sin(base - th), cy + rr * Math.cos(base - th), R, G, B, 0.85);
}
}
// ③ 부유 수증기 — 중심으로 살랑이며 흘러들어가는 먹이
for (var m = 0; m < motes.length; m++) {
var mo = motes[m];
var ddx = cx - mo.x, ddy = cy - mo.y, dd = Math.sqrt(ddx * ddx + ddy * ddy) || 1;
var sp = 0.05 + mo.c * 0.05;
mo.x += (ddx / dd) * sp + (rand() - 0.5) * 1.5;
mo.y += (ddy / dd) * sp + (rand() - 0.5) * 1.5;
if (dd < 12) spawnMote(mo, true);
var mc = mo.c < 0.34 ? C_MINT : (mo.c < 0.67 ? C_SKY : C_MIST);
var ma = 0.34 + 0.22 * Math.sin(fr * 0.09 + m * 1.7);
stamp(mo.x, mo.y, mc[0], mc[1], mc[2], ma);
stamp(mo.x + 1, mo.y, mc[0], mc[1], mc[2], ma * 0.45);
stamp(mo.x, mo.y + 1, mc[0], mc[1], mc[2], ma * 0.45);
}
ctx.putImageData(img, 0, 0);
}
var reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
var raf = 0, prev = 0;
function frame(now) {
var dt = Math.min(50, now - (prev || now));
prev = now;
gRot += dt * 0.00022; // 느린 자전 — 결정 전체가 12도/초 로 돈다
sim(dt);
compose();
fr++;
raf = requestAnimationFrame(frame);
}
// reduce 용 한 장 — 1.4초 치 성장을 몰아 시뮬레이션하고 정지 화면 한 장만 남긴다
function stillDraw() {
fit();
for (var i = 0; i < 42; i++) sim(33);
gRot = 0.3;
compose();
}
window.addEventListener('resize', function () { if (reduce) stillDraw(); });
fit();
buildLUT();
if (reduce) {
stillDraw();
root.classList.add('is-still');
} else {
raf = requestAnimationFrame(frame);
}
})();// SixFoldMirror — vanilla 판(run/319/demo/04-snowflake-six-fold-symmetry-mirror/index.html) 의 React 포트.
// 60도 섹터 하나에만 DLA 랜덤워크를 돌리고(각도를 60도 주기로 접어 부채꼴 밖을 안으로 되돌린다),
// 붙은 셀을 화면에 그릴 때 회전 COPIES + 거울(±각) 도장으로 펼친다 — 계산은 1/6, 대칭은 완벽.
import { useEffect, useRef, useState } from "react";
import type { CSSProperties } from "react";
import styles from "./SixFoldMirror.module.scss";
export type SixFoldMirrorProps = {
duration?: string;
easing?: string;
color?: string;
sectorDeg?: number; // 섹터 각(도) — 변형 "대칭 접기" 축(60 → 30)
sps?: number; // 초당 응집 입자 수 — 변형 "여섯 배 속도" 축(90 → 320)
n?: number; // 섹터 격자 반경(셀 수)
};
type Vars = CSSProperties & { "--duration"?: string; "--easing"?: string; "--color"?: string };
type Box<T> = { current: T };
type RGB = [number, number, number];
type Walker = { fx: number; fy: number };
type Mote = { x: number; y: number; c: number };
type Colors = { ink: RGB; dusk: RGB; core: RGB; halo: RGB; mint: RGB; sky: RGB; mist: RGB };
const FIELD_LABEL = "육중 대칭 결정 실험판";
function makePRNG(seed: number): () => number {
let s = seed >>> 0;
return function () {
s = (s + 0x6d2b79f5) >>> 0;
let t = s;
t = Math.imul(t ^ (t >>> 15), t | 1);
t ^= t + Math.imul(t ^ (t >>> 7), t | 61);
return ((t ^ (t >>> 14)) >>> 0) / 4294967296;
};
}
export default function SixFoldMirror({
duration = "2s",
easing = "cubic-bezier(.2, .8, .2, 1)",
color = "#b8cce8",
sectorDeg = 60,
sps = 320,
n = 44,
}: SixFoldMirrorProps) {
const rootRef = useRef<HTMLDivElement | null>(null);
const fieldRef = useRef<HTMLDivElement | null>(null);
const cvRef = useRef<HTMLCanvasElement | null>(null);
const ctxRef = useRef<CanvasRenderingContext2D | null>(null);
const sizeRef = useRef({ w: 0, h: 0 }) as Box<{ w: number; h: number }>;
const colRef = useRef<Colors | null>(null);
const imgRef = useRef<ImageData | null>(null) as Box<ImageData | null>;
const lutRef = useRef<{ r: Uint8ClampedArray; g: Uint8ClampedArray; b: Uint8ClampedArray } | null>(null);
const randRef = useRef<() => number>(makePRNG(0x3190404)) as Box<() => number>;
const rafRef = useRef(0) as Box<number>;
const [still, setStill] = useState(false);
const [copiesShown] = useState(Math.round(360 / sectorDeg) * 2);
const [spsShown] = useState(sps);
const vars: Vars = { "--duration": duration, "--easing": easing, "--color": color };
// ── 섹터 상태(ref 로 보관 — rAF 루프에서만 갱신, 리렌더 유발 안 함) ──
const SECTOR = (sectorDeg * Math.PI) / 180;
const COPIES = Math.round(360 / sectorDeg);
const WS = 2 * n + 8, HS = n + 6, AX = n + 4, AY = 2;
const occRef = useRef<Uint8Array>(new Uint8Array(WS * HS)) as Box<Uint8Array>;
const cellsRef = useRef<number[]>([]) as Box<number[]>;
const orderRef = useRef(0) as Box<number>;
const maxRRef = useRef(1.5) as Box<number>;
const phaseRef = useRef(0) as Box<number>;
const shineTRef = useRef(0) as Box<number>;
const walkersRef = useRef<Walker[]>([]) as Box<Walker[]>;
const gRotRef = useRef(0) as Box<number>;
const frRef = useRef(0) as Box<number>;
const motesRef = useRef<Mote[]>([]) as Box<Mote[]>;
const WALKERS = 42, MOTES = 90;
function reduced(): boolean {
return window.matchMedia("(prefers-reduced-motion: reduce)").matches;
}
function tokRGB(root: HTMLDivElement, name: string): RGB {
const s = getComputedStyle(root).getPropertyValue(name).trim();
const hx = s.length === 4
? s.charAt(1) + s.charAt(1) + s.charAt(2) + s.charAt(2) + s.charAt(3) + s.charAt(3)
: s.slice(1);
return [parseInt(hx.slice(0, 2), 16), parseInt(hx.slice(2, 4), 16), parseInt(hx.slice(4, 6), 16)];
}
function buildLUT(col: Colors): void {
const r = new Uint8ClampedArray(256), g = new Uint8ClampedArray(256), b = new Uint8ClampedArray(256);
const m = [0, 0.30, 0.60, 0.86, 1];
const cs: RGB[] = [
col.ink,
[col.ink[0] + (col.dusk[0] - col.ink[0]) * 0.7, col.ink[1] + (col.dusk[1] - col.ink[1]) * 0.7, col.ink[2] + (col.dusk[2] - col.ink[2]) * 0.7],
col.halo,
col.core,
[255, 253, 255],
];
for (let i = 0; i < 256; i++) {
const t = i / 255;
let k = 0;
while (k < 3 && t > m[k + 1]) k++;
const f = (t - m[k]) / (m[k + 1] - m[k] || 1);
r[i] = cs[k][0] + (cs[k + 1][0] - cs[k][0]) * f;
g[i] = cs[k][1] + (cs[k + 1][1] - cs[k][1]) * f;
b[i] = cs[k][2] + (cs[k + 1][2] - cs[k][2]) * f;
}
lutRef.current = { r, g, b };
}
function foldTh(th: number): number {
const P = SECTOR;
let m = (th + P * 0.5) % P;
if (m < 0) m += P;
return m - P * 0.5;
}
function fold(fx: number, fy: number): [number, number] {
const r = Math.sqrt(fx * fx + fy * fy);
const th = r < 1e-9 ? 0 : foldTh(Math.atan2(fx, fy));
return [th, r];
}
function cellOcc(fx: number, fy: number): number {
const occ = occRef.current;
const fo = fold(fx, fy);
if (fo[1] > n) return 0;
const gx = AX + Math.round(Math.sin(fo[0]) * fo[1]);
const gy = AY + Math.round(Math.cos(fo[0]) * fo[1]);
if (gx < 1 || gx >= WS - 1 || gy < 1 || gy >= HS - 1) return 0;
return occ[gy * WS + gx];
}
function respawn(w: Walker): void {
const rand = randRef.current;
const r0 = Math.min(maxRRef.current + 12, n - 1);
const a = (rand() * 2 - 1) * (SECTOR * 0.46);
w.fx = Math.sin(a) * r0;
w.fy = Math.cos(a) * r0;
}
const DX = [1, -1, 0, 0], DY = [0, 0, 1, -1];
function stepWalker(w: Walker): boolean {
const rand = randRef.current;
const occ = occRef.current;
const d = (rand() * 4) | 0;
w.fx += DX[d]; w.fy += DY[d];
const fo = fold(w.fx, w.fy);
if (fo[1] > n) { respawn(w); return false; }
const gx = AX + Math.round(Math.sin(fo[0]) * fo[1]);
const gy = AY + Math.round(Math.cos(fo[0]) * fo[1]);
if (gx < 1 || gx >= WS - 1 || gy < 1 || gy >= HS - 1) { respawn(w); return false; }
const idx = gy * WS + gx;
if (occ[idx]) return false;
const nc = cellOcc(w.fx + 1, w.fy) + cellOcc(w.fx - 1, w.fy) + cellOcc(w.fx, w.fy + 1) + cellOcc(w.fx, w.fy - 1);
if (!nc) return false;
const p = nc === 1 ? 1.0 : nc === 2 ? 0.62 : nc === 3 ? 0.22 : 0.10;
if (rand() >= p) { respawn(w); return false; }
occ[idx] = 1;
cellsRef.current.push(fo[0], fo[1], orderRef.current);
orderRef.current++;
if (fo[1] > maxRRef.current) maxRRef.current = fo[1];
respawn(w);
return true;
}
function resetSim(): void {
occRef.current.fill(0);
cellsRef.current = [];
orderRef.current = 0;
maxRRef.current = 3;
phaseRef.current = 0;
shineTRef.current = 0;
for (let s = 1; s <= 3; s++) {
occRef.current[(AY + s) * WS + AX] = 1;
cellsRef.current.push(0, s, orderRef.current);
orderRef.current++;
}
const ws: Walker[] = [];
for (let i = 0; i < WALKERS; i++) { const w: Walker = { fx: 0, fy: 0 }; respawn(w); ws.push(w); }
walkersRef.current = ws;
}
function spawnMote(m: Mote, edge: boolean): void {
const rand = randRef.current;
const { w: W, h: H } = sizeRef.current;
const side = (rand() * 4) | 0;
if (side === 0) { m.x = rand() * W; m.y = edge ? -4 : rand() * H; }
else if (side === 1) { m.x = edge ? W + 4 : rand() * W; m.y = rand() * H; }
else if (side === 2) { m.x = rand() * W; m.y = edge ? H + 4 : rand() * H; }
else { m.x = edge ? -4 : rand() * W; m.y = rand() * H; }
m.c = rand();
}
function fit(): void {
const field = fieldRef.current;
const cv = cvRef.current;
if (!field || !cv) return;
const ctx = cv.getContext("2d");
if (!ctx) return;
const r = field.getBoundingClientRect();
const W = Math.max(2, Math.round(r.width));
const H = Math.max(2, Math.round(r.height));
sizeRef.current.w = W;
sizeRef.current.h = H;
cv.width = W; cv.height = H;
ctxRef.current = ctx;
const img = ctx.createImageData(W, H);
const d = img.data;
for (let i = 3; i < d.length; i += 4) d[i] = 255;
imgRef.current = img;
randRef.current = makePRNG(0x3190404);
gRotRef.current = 0;
frRef.current = 0;
const ms: Mote[] = [];
for (let m = 0; m < MOTES; m++) { const mo: Mote = { x: 0, y: 0, c: 0 }; spawnMote(mo, false); ms.push(mo); }
motesRef.current = ms;
resetSim();
}
function sim(dt: number): void {
if (phaseRef.current === 1) {
shineTRef.current += dt;
if (shineTRef.current > 950) resetSim();
return;
}
const quota = (sps * dt) / 1000;
let stuck = 0, steps = 0;
const maxSteps = (dt / 16.7) * WALKERS * 9;
const walkers = walkersRef.current;
while (stuck < quota && steps < maxSteps) {
for (let i = 0; i < walkers.length; i++) {
if (stepWalker(walkers[i])) stuck++;
steps++;
if (stuck >= quota || steps >= maxSteps) break;
}
}
if (maxRRef.current > n - 2) { phaseRef.current = 1; shineTRef.current = 0; }
}
function stamp(px: number, py: number, R: number, G: number, B: number, a: number): void {
const img = imgRef.current;
const { w: W, h: H } = sizeRef.current;
if (!img) return;
const x = px | 0, y = py | 0;
if (x < 0 || x >= W || y < 0 || y >= H) return;
const j = (y * W + x) << 2, d = img.data;
d[j] = d[j] * (1 - a) + R * a;
d[j + 1] = d[j + 1] * (1 - a) + G * a;
d[j + 2] = d[j + 2] * (1 - a) + B * a;
}
function stampSoft(px: number, py: number, R: number, G: number, B: number, a: number): void {
const col = colRef.current;
if (!col) return;
const x = px | 0, y = py | 0;
for (let yy = y - 2; yy <= y + 2; yy++)
for (let xx = x - 2; xx <= x + 2; xx++)
stamp(xx, yy, col.halo[0], col.halo[1], col.halo[2], a * 0.10);
for (let y2 = y - 1; y2 <= y + 1; y2++)
for (let x2 = x - 1; x2 <= x + 1; x2++)
stamp(x2, y2, R, G, B, a * 0.42);
stamp(x, y, R, G, B, Math.min(1, a));
}
function compose(): void {
const ctx = ctxRef.current;
const img = imgRef.current;
const col = colRef.current;
const lut = lutRef.current;
const { w: W, h: H } = sizeRef.current;
if (!ctx || !img || !col || !lut) return;
const d = img.data;
const fr = frRef.current;
const topR = col.ink[0] + 6, topG = col.ink[1] + 6, topB = col.ink[2] + 9;
const botR = col.ink[0] + (col.dusk[0] - col.ink[0]) * 0.34, botG = col.ink[1] + (col.dusk[1] - col.ink[1]) * 0.34, botB = col.ink[2] + (col.dusk[2] - col.ink[2]) * 0.34;
const a1x = W * (0.18 + 0.10 * Math.sin(fr * 0.011)), a1y = H * (0.24 + 0.12 * Math.cos(fr * 0.013));
const a2x = W * (0.84 + 0.09 * Math.cos(fr * 0.009)), a2y = H * (0.28 + 0.10 * Math.sin(fr * 0.015));
const a3x = W * (0.24 + 0.08 * Math.cos(fr * 0.012 + 2)), a3y = H * (0.82 + 0.09 * Math.sin(fr * 0.010 + 1));
const a4x = W * (0.78 + 0.10 * Math.sin(fr * 0.008 + 4)), a4y = H * (0.78 + 0.11 * Math.cos(fr * 0.014 + 3));
const p1 = 0.085 + 0.050 * Math.sin(fr * 0.021);
const p2 = 0.075 + 0.045 * Math.cos(fr * 0.017);
const p3 = 0.070 + 0.040 * Math.sin(fr * 0.019 + 2);
const p4 = 0.080 + 0.048 * Math.cos(fr * 0.016 + 1);
const sig = 1 / (H * H * 0.55);
for (let y = 0; y < H; y++) {
const ty = y / H;
const br = topR + (botR - topR) * ty, bg = topG + (botG - topG) * ty, bb = topB + (botB - topB) * ty;
const row = y * W;
for (let x = 0; x < W; x++) {
const dx1 = x - a1x, dy1 = y - a1y, dx2 = x - a2x, dy2 = y - a2y;
const dx3 = x - a3x, dy3 = y - a3y, dx4 = x - a4x, dy4 = y - a4y;
const g = p1 * Math.exp(-(dx1 * dx1 + dy1 * dy1) * sig)
+ p2 * Math.exp(-(dx2 * dx2 + dy2 * dy2) * sig)
+ p3 * Math.exp(-(dx3 * dx3 + dy3 * dy3) * sig)
+ p4 * Math.exp(-(dx4 * dx4 + dy4 * dy4) * sig);
const j = (row + x) << 2;
d[j] = br + (col.halo[0] - br) * g;
d[j + 1] = bg + (col.halo[1] - bg) * g;
d[j + 2] = bb + (col.halo[2] - bb) * g;
}
}
const cx = W / 2, cy = H / 2;
const scale = (Math.min(W, H) / 2 - 8) / n;
const shineWave = phaseRef.current === 1 ? shineTRef.current * 0.018 : 0;
const cells = cellsRef.current;
const order = orderRef.current;
const gRot = gRotRef.current;
for (let i = 0; i < cells.length; i += 3) {
const th = cells[i], r = cells[i + 1], q = order > 1 ? cells[i + 2] / order : 1;
let li = 0.40 + 0.60 * q;
if (phaseRef.current === 1) li += 0.30 * Math.sin(shineWave - r * 0.22);
if (li < 0) li = 0; else if (li > 1) li = 1;
const ci = (li * 255) | 0;
const R = lut.r[ci], G = lut.g[ci], B = lut.b[ci];
const rr = r * scale;
for (let k = 0; k < COPIES; k++) {
const base = gRot + k * SECTOR;
stampSoft(cx + rr * Math.sin(base + th), cy + rr * Math.cos(base + th), R, G, B, 0.85);
stampSoft(cx + rr * Math.sin(base - th), cy + rr * Math.cos(base - th), R, G, B, 0.85);
}
}
const rand = randRef.current;
const motes = motesRef.current;
for (let m = 0; m < motes.length; m++) {
const mo = motes[m];
const ddx = cx - mo.x, ddy = cy - mo.y, dd = Math.sqrt(ddx * ddx + ddy * ddy) || 1;
const sp = 0.05 + mo.c * 0.05;
mo.x += (ddx / dd) * sp + (rand() - 0.5) * 1.5;
mo.y += (ddy / dd) * sp + (rand() - 0.5) * 1.5;
if (dd < 12) spawnMote(mo, true);
const mc = mo.c < 0.34 ? col.mint : mo.c < 0.67 ? col.sky : col.mist;
const ma = 0.34 + 0.22 * Math.sin(fr * 0.09 + m * 1.7);
stamp(mo.x, mo.y, mc[0], mc[1], mc[2], ma);
stamp(mo.x + 1, mo.y, mc[0], mc[1], mc[2], ma * 0.45);
stamp(mo.x, mo.y + 1, mc[0], mc[1], mc[2], ma * 0.45);
}
ctx.putImageData(img, 0, 0);
}
let prev = 0;
function frame(now: number): void {
const dt = Math.min(50, now - (prev || now));
prev = now;
gRotRef.current += dt * 0.00022;
sim(dt);
compose();
frRef.current++;
rafRef.current = requestAnimationFrame(frame);
}
function stillDraw(): void {
fit();
for (let i = 0; i < 42; i++) sim(33);
gRotRef.current = 0.3;
compose();
}
useEffect(() => {
const root = rootRef.current;
if (!root) return;
colRef.current = {
ink: tokRGB(root, "--flake-ink"),
dusk: tokRGB(root, "--flake-dusk"),
core: tokRGB(root, "--flake-core"),
halo: tokRGB(root, "--flake-halo"),
mint: tokRGB(root, "--flake-mint"),
sky: tokRGB(root, "--flake-sky"),
mist: tokRGB(root, "--flake-mist"),
};
fit();
buildLUT(colRef.current);
function onResize(): void {
fit();
if (colRef.current) buildLUT(colRef.current);
if (reduced()) stillDraw();
}
window.addEventListener("resize", onResize);
if (reduced()) {
stillDraw();
setStill(true);
} else {
rafRef.current = requestAnimationFrame(frame);
}
return () => {
window.removeEventListener("resize", onResize);
cancelAnimationFrame(rafRef.current);
};
// eslint-disable-next-line react-hooks/exhaustive-deps
}, [sectorDeg, sps, n]);
const rootCls = still ? `${styles.root} ${styles.isStill}` : styles.root;
return (
<main className={styles.stage}>
<div className={rootCls} ref={rootRef} style={vars}>
<p className={styles.hint}>
<svg className={styles.ico} viewBox="0 0 256 256" aria-hidden="true"><g fill="none" stroke="currentColor" strokeWidth={22} strokeLinecap="round"><path d="M128 28v200"/><path d="M45 76l166 104"/><path d="M211 76L45 180"/></g></svg>
<span>60도 부채꼴 섹터 하나만 시뮬레이션하고 나머지를 회전·거울 복사합니다 — 계산은 1/6, 대칭은 어긋나지 않는 육각 결정이 자랍니다</span>
</p>
<div className={styles.field} ref={fieldRef} role="application" aria-label={FIELD_LABEL} tabIndex={0}>
<canvas className={styles.cv} ref={cvRef}></canvas>
</div>
<div className={styles.bar}>
<span className={styles.meta}>섹터 <b className={styles.val}>{sectorDeg}°</b> · 도장 <b className={styles.val}>{copiesShown}</b> · 응집 <b className={styles.val}>{spsShown}</b>/초</span>
<span className={styles.metaDim}>캔버스 · rotate · ImageData</span>
</div>
</div>
</main>
);
}04 The six-fold mirror — fold by 60 degrees and grow six times faster — Measured area 40.29% · moving frames 23/23Original by GODRICH · SCSS and React ship in the zip · Snowflake Generator, 9 Ways (DLA, No Library)
The post this demo lives in
Snowflake Generator, 9 Ways (DLA, No Library)No library, no WebGL — repeat one moment, a wandering particle touching the crystal and sticking, and a six-fold snowfla See all demos in this post
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