A tortoise (see: turtletoy.net/turtle/102cbd7c4d) with a 'spiral transform' is used to draw houses, bicycles, and geese.
#tortoise
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// A tortoise, a goose & a bicycle. Created by Reinder Nijhoff 2019
// @reindernijhoff
//
// https://turtletoy.net/turtle/d93671dfa0
//
function Translate(x,y) { return p => [p[0]+x, p[1]+y]; }
function Scale(s) { return p => [p[0]*s, p[1]*s]; }
function Circle(r) { return p => { let ry = r - p[1]; a = p[0]/r;
return [ry*Math.cos(a), ry*Math.sin(a)]; } }
function Spiral(f, f2) {
return p => {
const x = p[0];
const y = p[1];
const angle = Math.pow(x, f2);
const radius = f*angle - y;
return [radius*Math.cos(angle), radius*Math.sin(angle)];
}
}
const factor = Math.PI;
const factor2 = .45;
const numHouses = 400;
const turtle = new Tortoise();
turtle.addTransform(Spiral(factor, factor2));
turtle.forward(numHouses*25);
turtle.forward(numHouses*25);
function walk(i) {
if (Math.random() > .67) {
const h = new Tortoise();
h.addTransform(Scale(.3));
h.addTransform(Translate(i * 20 + 25, 0));
h.addTransform(Spiral(factor, factor2));
drawHouse(h);
} else if (Math.random() > .5) {
const h = new Tortoise();
h.addTransform(Scale(.18));
h.addTransform(Translate(i * 20 + 25, 0));
h.addTransform(Spiral(factor, factor2));
drawBicycle(h, 0, 0)
} else {
const h = new Tortoise();
h.addTransform(Scale(.15));
h.addTransform(Translate(i * 20 + 25, -3.5));
h.addTransform(Spiral(factor, factor2));
goose(h);
}
return i < numHouses - 1;
}
// House
function drawHouse(t) {
square(t, [-10,-20], [30,0]);
square(t, [-5,-15], [2,-8]);
square(t, [7,0], [14,-15]);
square(t, [19,-15], [25,-8]);
square(t, [-25,-15], [-15,-8]);
for (let i=-20; i<=20; i+=4) {
t.jmp(i,-30); t.goto(i+10,-20);
}
t.jmp(-20,-30); t.goto(20,-30);
t.jmp(-20,-30); t.goto(-30,-20);
t.jmp(-30,-20); t.goto(-30,0);
t.jmp(-30,0); t.goto(-10,0);
}
function square(t, lt, rb) {
t.jmp(lt); t.goto(lt[0], rb[1]); t.goto(rb), t.goto(rb[0], lt[1]); t.goto(lt);
}
function drawBicycle(t, x, y) {
t = t.addTransform(Translate(x, y));
t.jmp(-15,-20); t.circle(10);
t.jmp( 15,-20); t.circle(10);
t.jmp(-15, -10);
t.goto(0, -10); t.goto(10, -25);
t.goto(-5, -25); t.goto(-15, -10);
t.jmp( 0, -10); t.goto(-6, -28); t.goto(-8, -28); t.goto(-2, -28);
t.jmp( 15, -10); t.goto( 9, -28); t.goto( 14, -28); t.circle(2, 180);
}
// Goose by imakerobots: https://turtletoy.net/turtle/a6b25da0df
//
const a=[-128.964, -86.085,
-129.279, -87.079,
-129.776, -88.158,
-130.277, -89.07,
-130.848, -90.015,
-131.467, -90.985,
-132.115, -91.968,
-132.769, -92.957];
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const list = [a,b,c,d,f,g];
function goose(t) {
const scale =.2;
for(let k=0;k<list.length;++k) {
let j=0;
t.penup();
t.goto(
scale*list[k][j*2+0],
-scale*list[k][j*2+1]
);
t.pendown();
for(j=1;j<list[k].length/2;++j) {
t.goto(
scale*list[k][j*2+0],
-scale*list[k][j*2+1]
);
}
t.penup();
}
}
////////////////////////////////////////////////////////////////
// Tortoise utility code (Minimal Turtle and Transforms)
// https://turtletoy.net/turtle/102cbd7c4d
////////////////////////////////////////////////////////////////
function Tortoise(x, y) {
class Tortoise extends Turtle {
constructor(x, y) {
super(x, y);
this.ps = Array.isArray(x) ? [...x] : [x || 0, y || 0];
this.transforms = [];
}
addTransform(t) {
this.transforms.push(t);
this.jump(this.ps);
return this;
}
applyTransforms(p) {
if (!this.transforms) return p;
let pt = [...p];
this.transforms.map(t => { pt = t(pt); });
return pt;
}
goto(x, y) {
const p = Array.isArray(x) ? [...x] : [x, y];
const pt = this.applyTransforms(p);
if (this.isdown() && (this.pt[0]-pt[0])**2 + (this.pt[1]-pt[1])**2 > 4) {
this.goto((this.ps[0]+p[0])/2, (this.ps[1]+p[1])/2);
this.goto(p);
} else {
super.goto(pt);
this.ps = p;
this.pt = pt;
}
}
position() { return this.ps; }
}
return new Tortoise(x,y);
}