08Signal-Circuit Automaton Where a Four-State Value Travels Along Drawn Wires
Every cell holds one of four state values -- empty, wire, signal head, or signal tail -- and a wire cell becomes a signal head only when exactly one or two of its neighbors are heads, so a signal travels one-way along whatever wire shape was drawn.
Best forLogic-circuit concept explainers, algorithm-visualization teaching material
HEAD_NEIGHBORS_MAXbuildCircuitneighborHeadCount

<main class="stage">
<div class="rv is-demo" tabindex="0" role="button" aria-label="Signal circuit running -- click or press space to pause, R to reseed">
<canvas class="rv__cv" width="480" height="300"></canvas>
<p class="rv__hint">Click or press space to pause, R to reseed</p>
</div>
</main>@use "../../../../site/static/demo-tokens" as *;
@include stage($stage-paper);
.rv {
position: relative;
width: min(92vw, calc(160vh - 12.8vw));
aspect-ratio: 480 / 300;
margin: 0 auto;
border-radius: $r-card;
overflow: hidden;
cursor: pointer;
box-shadow: $shadow-raised;
outline-offset: 4px;
&:focus-visible {
outline: 3px solid $subject-ink;
}
}
.rv__cv {
display: block;
width: 100%;
height: 100%;
}
.rv__hint {
position: absolute;
left: $sp-3;
bottom: $sp-3;
margin: 0;
padding: $sp-1 $sp-3;
border-radius: $r-pill;
font-size: 12px;
line-height: 1.4;
font-weight: 500;
background: rgba(255, 247, 230, .85);
color: $subject-ink;
pointer-events: none;
}
@media (prefers-reduced-motion: reduce) {
.rv {
cursor: pointer;
}
}html, body {
margin: 0;
overflow: hidden;
}
.stage {
box-sizing: border-box;
min-height: 100vh;
display: grid;
place-items: center;
margin: 0;
background: #ffffff;
font-family: -apple-system, "Segoe UI", "Noto Sans KR", sans-serif;
padding: clamp(8px, 4vw, 24px);
}
.rv {
position: relative;
width: min(92vw, 160vh - 12.8vw);
aspect-ratio: 480/300;
margin: 0 auto;
border-radius: 16px;
overflow: hidden;
cursor: pointer;
box-shadow: 0 14px 24px rgba(23, 20, 26, 0.32);
outline-offset: 4px;
}
.rv:focus-visible {
outline: 3px solid #17141a;
}
.rv__cv {
display: block;
width: 100%;
height: 100%;
}
.rv__hint {
position: absolute;
left: 12px;
bottom: 12px;
margin: 0;
padding: 4px 12px;
border-radius: 999px;
font-size: 12px;
line-height: 1.4;
font-weight: 500;
background: rgba(255, 247, 230, 0.85);
color: #17141a;
pointer-events: none;
}
@media (prefers-reduced-motion: reduce) {
.rv {
cursor: pointer;
}
}(function(){
'use strict';
// 395-09(진행률 채움 로더)와 다른 축: 네 단계 상태 값이 미리 그려둔 전선을 타고 흐르는 계산이 주인공.
// 매 세대 이웃 신호머리 수를 세어 전체를 다시 계산하고 fillRect 로 그린다 — 속성 트윈 없음.
function makeLcg(seed){
let s = seed >>> 0;
return function(){
s = (s * 1664525 + 1013904223) >>> 0;
return s / 4294967296;
};
}
const W = 480, H = 300;
const CELL = 10, COLS = W / CELL, ROWS = H / CELL;
const PAPER = '#fff7e6';
const WIRE_COLOR = '#17141a';
const HEAD_COLOR = '#c89a8f';
const TAIL_COLOR = '#d2c7a4';
let SEED = 80801;
let rnd = makeLcg(SEED);
const EMPTY = 0, WIRE = 1, HEAD = 2, TAIL = 3;
const HEAD_NEIGHBORS_MIN = 1;
const HEAD_NEIGHBORS_MAX = 2; // 변형 08 대상 — 전선이 신호머리로 바뀌는 이웃 신호머리 수 상한
let grid = new Uint8Array(COLS * ROWS);
let next = new Uint8Array(COLS * ROWS);
function idx(x, y){ return y * COLS + x; }
// 고정 회로: 촘촘한 지그재그 전선 — 행 간격 2칸(빈 행 하나 사이)이라 인접 가닥끼리 대각으로 겹치지 않는다.
const path = [];
(function buildPath(){
let dir = 1;
for (let r = 0; r < 13; r++){
const y = 3 + r * 2;
if (dir === 1){
for (let x = 4; x <= 43; x++) path.push([x, y]);
} else {
for (let x = 43; x >= 4; x--) path.push([x, y]);
}
if (r < 12){
const jointX = (dir === 1) ? 43 : 4;
path.push([jointX, y + 1]);
dir *= -1;
}
}
})();
function buildCircuit(gap, offset){
grid.fill(EMPTY);
for (let i = 0; i < path.length; i++){
grid[idx(path[i][0], path[i][1])] = WIRE;
}
for (let i = offset; i + 1 < path.length; i += gap){
grid[idx(path[i][0], path[i][1])] = TAIL;
grid[idx(path[i + 1][0], path[i + 1][1])] = HEAD;
}
}
function neighborHeadCount(x, y){
let n = 0;
for (let dy = -1; dy <= 1; dy++){
for (let dx = -1; dx <= 1; dx++){
if (dx === 0 && dy === 0) continue;
const nx = x + dx, ny = y + dy;
if (nx < 0 || ny < 0 || nx >= COLS || ny >= ROWS) continue;
if (grid[idx(nx, ny)] === HEAD) n++;
}
}
return n;
}
function step(){
for (let y = 0; y < ROWS; y++){
for (let x = 0; x < COLS; x++){
const i = idx(x, y);
const s = grid[i];
let ns = s;
if (s === WIRE){
const hc = neighborHeadCount(x, y);
if (hc >= HEAD_NEIGHBORS_MIN && hc <= HEAD_NEIGHBORS_MAX) ns = HEAD;
} else if (s === HEAD){
ns = TAIL;
} else if (s === TAIL){
ns = WIRE;
}
next[i] = ns;
}
}
const tmp = grid; grid = next; next = tmp;
}
const cvEl = document.querySelector('.rv__cv');
const ctx = cvEl.getContext('2d');
const rootEl = document.querySelector('.rv');
function render(){
ctx.fillStyle = PAPER;
ctx.fillRect(0, 0, W, H);
for (let y = 0; y < ROWS; y++){
for (let x = 0; x < COLS; x++){
const s = grid[idx(x, y)];
if (s === EMPTY) continue;
ctx.fillStyle = s === WIRE ? WIRE_COLOR : (s === HEAD ? HEAD_COLOR : TAIL_COLOR);
ctx.fillRect(x * CELL + 1, y * CELL + 1, CELL - 1, CELL - 1);
}
}
}
const ARIA_PLAY = 'Signal circuit running -- click or press space to pause, R to reseed';
const ARIA_PAUSE = 'Signal circuit paused -- click or press space to resume, R to reseed';
function updateAria(){
rootEl.setAttribute('aria-label', paused ? ARIA_PAUSE : ARIA_PLAY);
}
let paused = false;
const reduceMQ = window.matchMedia('(prefers-reduced-motion: reduce)');
function human(){ rootEl.classList.remove('is-demo'); }
function reseed(){
SEED = (SEED * 1103515245 + 12345) >>> 0;
rnd = makeLcg(SEED || 1);
const gap = 10 + Math.floor(rnd() * 6);
const offset = Math.floor(rnd() * gap);
buildCircuit(gap, offset);
}
function togglePause(){
paused = !paused;
updateAria();
}
function onActivate(e){
if (e.type === 'keydown'){
if (e.key === 'r' || e.key === 'R'){
human();
reseed();
render();
return;
}
if (e.key !== 'Enter' && e.key !== ' ') return;
e.preventDefault();
}
human();
if (reduceMQ.matches){
step();
render();
} else {
togglePause();
}
}
function onKey(e){
if (e.key === 'r' || e.key === 'R' || e.key === 'Enter' || e.key === ' '){
onActivate(e);
}
}
const GEN_INTERVAL_MS = 45;
let acc = 0, last = 0;
function frame(now){
if (!reduceMQ.matches){
if (!last) last = now;
const dt = now - last;
last = now;
if (!paused){
acc += dt;
while (acc >= GEN_INTERVAL_MS){
step();
acc -= GEN_INTERVAL_MS;
}
render();
}
requestAnimationFrame(frame);
}
}
function onResize(){ render(); }
rootEl.addEventListener('click', onActivate);
rootEl.addEventListener('keydown', onKey);
window.addEventListener('resize', onResize);
buildCircuit(12, 0);
updateAria();
render();
if (!reduceMQ.matches){
requestAnimationFrame(frame);
}
})();import { useEffect, useRef } from 'react';
import styles from './WireworldCircuit.module.scss';
function ctx2d(cv: HTMLCanvasElement): CanvasRenderingContext2D {
const c = cv.getContext('2d');
if (!c) throw new Error('no 2d context');
return c;
}
function makeLcg(seed: number): () => number {
let s = seed >>> 0;
return function(){
s = (s * 1664525 + 1013904223) >>> 0;
return s / 4294967296;
};
}
const W = 480, H = 300;
const CELL = 10, COLS = W / CELL, ROWS = H / CELL;
const PAPER = '#fff7e6';
const WIRE_COLOR = '#17141a';
const HEAD_COLOR = '#c89a8f';
const TAIL_COLOR = '#d2c7a4';
let SEED = 80801;
let rnd = makeLcg(SEED);
const EMPTY = 0, WIRE = 1, HEAD = 2, TAIL = 3;
const HEAD_NEIGHBORS_MIN = 1;
const HEAD_NEIGHBORS_MAX = 2; // 변형 08 대상 — 전선이 신호머리로 바뀌는 이웃 신호머리 수 상한
let grid = new Uint8Array(COLS * ROWS);
let next = new Uint8Array(COLS * ROWS);
function idx(x: number, y: number): number { return y * COLS + x; }
// 고정 회로: 촘촘한 지그재그 전선 — 행 간격 2칸(빈 행 하나 사이)이라 인접 가닥끼리 대각으로 겹치지 않는다.
const path: [number, number][] = [];
(function buildPath(){
let dir = 1;
for (let r = 0; r < 13; r++){
const y = 3 + r * 2;
if (dir === 1){
for (let x = 4; x <= 43; x++) path.push([x, y]);
} else {
for (let x = 43; x >= 4; x--) path.push([x, y]);
}
if (r < 12){
const jointX = (dir === 1) ? 43 : 4;
path.push([jointX, y + 1]);
dir *= -1;
}
}
})();
function buildCircuit(gap: number, offset: number): void {
grid.fill(EMPTY);
for (let i = 0; i < path.length; i++){
grid[idx(path[i][0], path[i][1])] = WIRE;
}
for (let i = offset; i + 1 < path.length; i += gap){
grid[idx(path[i][0], path[i][1])] = TAIL;
grid[idx(path[i + 1][0], path[i + 1][1])] = HEAD;
}
}
function neighborHeadCount(x: number, y: number): number {
let n = 0;
for (let dy = -1; dy <= 1; dy++){
for (let dx = -1; dx <= 1; dx++){
if (dx === 0 && dy === 0) continue;
const nx = x + dx, ny = y + dy;
if (nx < 0 || ny < 0 || nx >= COLS || ny >= ROWS) continue;
if (grid[idx(nx, ny)] === HEAD) n++;
}
}
return n;
}
function step(): void {
for (let y = 0; y < ROWS; y++){
for (let x = 0; x < COLS; x++){
const i = idx(x, y);
const s = grid[i];
let ns = s;
if (s === WIRE){
const hc = neighborHeadCount(x, y);
if (hc >= HEAD_NEIGHBORS_MIN && hc <= HEAD_NEIGHBORS_MAX) ns = HEAD;
} else if (s === HEAD){
ns = TAIL;
} else if (s === TAIL){
ns = WIRE;
}
next[i] = ns;
}
}
const tmp = grid; grid = next; next = tmp;
}
function render(ctx: CanvasRenderingContext2D): void {
ctx.fillStyle = PAPER;
ctx.fillRect(0, 0, W, H);
for (let y = 0; y < ROWS; y++){
for (let x = 0; x < COLS; x++){
const s = grid[idx(x, y)];
if (s === EMPTY) continue;
ctx.fillStyle = s === WIRE ? WIRE_COLOR : (s === HEAD ? HEAD_COLOR : TAIL_COLOR);
ctx.fillRect(x * CELL + 1, y * CELL + 1, CELL - 1, CELL - 1);
}
}
}
const ARIA_PLAY = '신호 회로 진행 중 — 클릭하거나 스페이스바로 정지, R 로 재시드';
const ARIA_PAUSE = '신호 회로 정지됨 — 클릭하거나 스페이스바로 재생, R 로 재시드';
export default function WireworldCircuit(){
const rootRef = useRef<HTMLDivElement | null>(null);
const cvRef = useRef<HTMLCanvasElement | null>(null);
useEffect(() => {
const root = rootRef.current;
const cv = cvRef.current;
if (!root || !cv) return;
const rootEl: HTMLDivElement = root;
const cvEl: HTMLCanvasElement = cv;
const ctx = ctx2d(cvEl);
function updateAria(): void {
rootEl.setAttribute('aria-label', paused ? ARIA_PAUSE : ARIA_PLAY);
}
let paused = false;
const reduceMQ = window.matchMedia('(prefers-reduced-motion: reduce)');
function human(): void { rootEl.classList.remove('is-demo'); }
function reseed(): void {
SEED = (SEED * 1103515245 + 12345) >>> 0;
rnd = makeLcg(SEED || 1);
const gap = 10 + Math.floor(rnd() * 6);
const offset = Math.floor(rnd() * gap);
buildCircuit(gap, offset);
}
function togglePause(): void {
paused = !paused;
updateAria();
}
function onActivate(e: Event): void {
if (e.type === 'keydown'){
const ke = e as KeyboardEvent;
if (ke.key === 'r' || ke.key === 'R'){
human();
reseed();
render(ctx);
return;
}
if (ke.key !== 'Enter' && ke.key !== ' ') return;
ke.preventDefault();
}
human();
if (reduceMQ.matches){
step();
render(ctx);
} else {
togglePause();
}
}
const GEN_INTERVAL_MS = 45;
let acc = 0, last = 0, rafId = 0;
function frame(now: number): void {
if (!reduceMQ.matches){
if (!last) last = now;
const dt = now - last;
last = now;
if (!paused){
acc += dt;
while (acc >= GEN_INTERVAL_MS){
step();
acc -= GEN_INTERVAL_MS;
}
render(ctx);
}
rafId = requestAnimationFrame(frame);
}
}
function onResize(): void { render(ctx); }
rootEl.addEventListener('click', onActivate);
rootEl.addEventListener('keydown', onActivate);
window.addEventListener('resize', onResize);
buildCircuit(12, 0);
updateAria();
render(ctx);
if (!reduceMQ.matches){
rafId = requestAnimationFrame(frame);
}
return () => {
rootEl.removeEventListener('click', onActivate);
rootEl.removeEventListener('keydown', onActivate);
window.removeEventListener('resize', onResize);
if (rafId) cancelAnimationFrame(rafId);
};
}, []);
return (
<main className={styles.stage}>
<div ref={rootRef} className={`${styles.rv} is-demo`} tabIndex={0} role="button" aria-label="신호 회로 진행 중 — 클릭하거나 스페이스바로 정지, R 로 재시드">
<canvas ref={cvRef} className={styles.rv__cv} width={480} height={300} />
<p className={styles.rv__hint}>클릭·스페이스바로 정지, R 로 재시드</p>
</div>
</main>
);
}08 Signal-Circuit Automaton Where a Four-State Value Travels Along Drawn Wires — Measured area 26.672% · moving frames 23/23Original by GODRICH · SCSS and React ship in the zip · Conway Game of Life in Canvas, 9 Patterns
The post this demo lives in
Conway Game of Life in Canvas, 9 PatternsConway game of life: The grid looks random, but a live-neighbor value decides life or death, ages into fading color, and See all demos in this post
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