Tesselation. Based on work by Åse Balko: instagram.com/asebalko/
#tesselation #simplex #noise #asebalko
Log in to post a comment.
// Forked from "Tesselation #1" by reinder
// https://turtletoy.net/turtle/fc087011bf
// Tesselation #1. Created by Reinder Nijhoff 2021 - @reindernijhoff
//
// https://turtletoy.net/turtle/6e4e06d42e
//
const seed = 1; // min=1, max=100, step=1
const segments = 70; // min=10, max=200, step=1
const innerRadius = 66; // min=10, max=100, step=0.1
const ringWidth = 6; // min=1, max=20, step=0.1
const ringWidthPow = 1.05; // min=1, max=1.5, step=0.01
const noiseAmplitude = 2.5; // min=0, max=20, step=0.1
const noiseFreq = 0.02; // min=0, max=0.2, step=0.001
const noiseFallOffPow = 0.1; // min=0.1, max=2, step=0.01
const textScale = 0.4; // min=0.1, max=2, step=0.01
const textString = "Happy Plotting"; //
const turtle = new Turtle();
const noise1 = new SimplexNoise(seed);
const noise2 = new SimplexNoise(seed+1);
const lines = Math.ceil(200 / ringWidth);
const da = Math.PI * 2 / segments;
function point(a, i) {
const radius = Math.pow(i, ringWidthPow) * ringWidth + innerRadius;
const p = [Math.cos(a) * radius, Math.sin(a) * radius];
p[0] += noise1.noise2D([p[0]*noiseFreq, p[1]*noiseFreq]) * noiseAmplitude * Math.pow(2-Math.sqrt(p[0]**2 + p[1]**2)/500, noiseFallOffPow);
p[1] += noise2.noise2D([p[0]*noiseFreq, p[1]*noiseFreq]) * noiseAmplitude * Math.pow(2-Math.sqrt(p[0]**2 + p[1]**2)/500, noiseFallOffPow);
return p;
}
function triangleLines(p0, p1, p2, p3) {
turtle.jump(p2);
turtle.goto(p0);
turtle.goto(p1);
turtle.jump(p0);
turtle.goto(p3);
}
function walk(i) {
for (let s = 0; s<segments; s++) {
const a0 = -(i / 2) * da / 2 + da * s;
const a1 = -((i+1) / 2) * da / 2 + da * s;
triangleLines(point(a0, i), point(a0+da, i), point(a1, i+1), point(a1+da, i+1));
}
return i < lines;
}
////////////////////////////////////////////////////////////////
// Simplex Noise utility code. Created by Reinder Nijhoff 2020
// https://turtletoy.net/turtle/6e4e06d42e
// Based on: http://webstaff.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf
////////////////////////////////////////////////////////////////
function SimplexNoise(seed = 1) {
const grad = [ [1, 1, 0], [-1, 1, 0], [1, -1, 0], [-1, -1, 0],
[1, 0, 1], [-1, 0, 1], [1, 0, -1], [-1, 0, -1],
[0, 1, 1], [0, -1, 1], [0, 1, -1], [0, -1, -1] ];
const perm = new Uint8Array(512);
const F2 = (Math.sqrt(3) - 1) / 2, F3 = 1/3;
const G2 = (3 - Math.sqrt(3)) / 6, G3 = 1/6;
const dot2 = (a, b) => a[0] * b[0] + a[1] * b[1];
const sub2 = (a, b) => [a[0] - b[0], a[1] - b[1]];
const dot3 = (a, b) => a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
const sub3 = (a, b) => [a[0] - b[0], a[1] - b[1], a[2] - b[2]];
class SimplexNoise {
constructor(seed = 1) {
for (let i = 0; i < 512; i++) {
perm[i] = i & 255;
}
for (let i = 0; i < 255; i++) {
const r = (seed = this.hash(i+seed)) % (256 - i) + i;
const swp = perm[i];
perm[i + 256] = perm[i] = perm[r];
perm[r + 256] = perm[r] = swp;
}
}
noise2D(p) {
const s = dot2(p, [F2, F2]);
const c = [Math.floor(p[0] + s), Math.floor(p[1] + s)];
const i = c[0] & 255, j = c[1] & 255;
const t = dot2(c, [G2, G2]);
const p0 = sub2(p, sub2(c, [t, t]));
const o = p0[0] > p0[1] ? [1, 0] : [0, 1];
const p1 = sub2(sub2(p0, o), [-G2, -G2]);
const p2 = sub2(p0, [1-2*G2, 1-2*G2]);
let n = Math.max(0, 0.5-dot2(p0, p0))**4 * dot2(grad[perm[i+perm[j]] % 12], p0);
n += Math.max(0, 0.5-dot2(p1, p1))**4 * dot2(grad[perm[i+o[0]+perm[j+o[1]]] % 12], p1);
n += Math.max(0, 0.5-dot2(p2, p2))**4 * dot2(grad[perm[i+1+perm[j+1]] % 12], p2);
return 70 * n;
}
hash(i) {
i = 1103515245 * ((i >> 1) ^ i);
const h32 = 1103515245 * (i ^ (i>>3));
return h32 ^ (h32 >> 16);
}
}
return new SimplexNoise(seed);
}
const text = new Text();
turtle.seth(0);
turtle.jump(-45, 0);
text.print(turtle, textString, textScale);
////////////////////////////////////////////////////////////////
// Text utility code - https://turtletoy.net/turtle/1713ddbe99
////////////////////////////////////////////////////////////////
function Text() {
class Text {
print (t, str, scale) {
t.radians();
let pos = [t.x(), t.y()], h = t.h(), o = pos;
str.split('').map(c => {
const i = c.charCodeAt(0) - 32;
if (i < 0 ) {
pos = o = this.rotAdd([0, 48*scale], o, h);
} else if (i > 96 ) {
pos = this.rotAdd([16*scale, 0], o, h);
} else {
const d = dat[i], lt = d[0]*scale, rt = d[1]*scale, paths = d[2];
paths.map( p => {
t.up();
p.map( s=> {
t.goto(this.rotAdd([s[0]*scale - lt, s[1]*scale], pos, h));
t.down();
});
});
pos = this.rotAdd([rt - lt, 0], pos, h);
}
});
}
rotAdd (a, b, h) {
return [Math.cos(h)*a[0] - Math.sin(h)*a[1] + b[0],
Math.cos(h)*a[1] + Math.sin(h)*a[0] + b[1]];
}
}
const dat = ('br>eoj^jl<jqirjskrjq>brf^fe<n^ne>`ukZdz<qZjz<dgrg<cmqm>`thZhw<lZlw<qao_l^h^e_caccdeefg'+
'gmiojpkqmqporlshsercp>^vs^as<f^h`hbgdeeceacaab_d^f^h_k`n`q_s^<olmmlolqnspsrrspsnqlol>]wtgtfsereqfph'+
'nmlpjrhsdsbraq`o`makbjifjekckaj_h^f_eaecffhimporqssstrtq>eoj`i_j^k_kajcid>cqnZl\\j_hcghglhqjulxnz>c'+
'qfZh\\j_lcmhmllqjuhxfz>brjdjp<egom<ogem>]wjajs<ajsj>fnkojpiojnkokqis>]wajsj>fnjniojpkojn>_usZaz>`ti'+
'^f_dbcgcjdofrisksnrpoqjqgpbn_k^i^>`tfbhak^ks>`tdcdbe`f_h^l^n_o`pbpdofmicsqs>`te^p^jfmfogphqkqmppnrk'+
'shserdqco>`tm^clrl<m^ms>`to^e^dgefhekenfphqkqmppnrkshserdqco>`tpao_l^j^g_ebdgdlepgrjsksnrppqmqlping'+
'kfjfggeidl>`tq^gs<c^q^>`th^e_dadceegfkgnhpjqlqopqorlshserdqcocldjfhigmfoepcpao_l^h^>`tpeohmjjkikfjd'+
'hcecddaf_i^j^m_oapepjoomrjshserdp>fnjgihjikhjg<jniojpkojn>fnjgihjikhjg<kojpiojnkokqis>^vrabjrs>]wag'+
'sg<amsm>^vbarjbs>asdcdbe`f_h^l^n_o`pbpdofngjijl<jqirjskrjq>]xofndlcicgdfeehekfmhnknmmnk<icgefhfkgmh'+
'n<ocnknmpnrntluiugtdsbq`o_l^i^f_d`bbad`g`jambodqfrislsorqqrp<pcokompn>asj^bs<j^rs<elol>_tc^cs<c^l^o'+
'_p`qbqdpfoglh<chlhoipjqlqopqorlscs>`urcqao_m^i^g_eadccfckdnepgrismsorqprn>_tc^cs<c^j^m_oapcqfqkpnop'+
'mrjscs>`sd^ds<d^q^<dhlh<dsqs>`rd^ds<d^q^<dhlh>`urcqao_m^i^g_eadccfckdnepgrismsorqprnrk<mkrk>_uc^cs<'+
'q^qs<chqh>fnj^js>brn^nnmqlrjshsfreqdndl>_tc^cs<q^cl<hgqs>`qd^ds<dsps>^vb^bs<b^js<r^js<r^rs>_uc^cs<c'+
'^qs<q^qs>_uh^f_daccbfbkcndpfrhslsnrppqnrkrfqcpan_l^h^>_tc^cs<c^l^o_p`qbqepgohlici>_uh^f_daccbfbkcnd'+
'pfrhslsnrppqnrkrfqcpan_l^h^<koqu>_tc^cs<c^l^o_p`qbqdpfoglhch<jhqs>`tqao_l^h^e_caccdeefggmiojpkqmqpo'+
'rlshsercp>brj^js<c^q^>_uc^cmdpfrisksnrppqmq^>asb^js<r^js>^v`^es<j^es<j^os<t^os>`tc^qs<q^cs>asb^jhjs'+
'<r^jh>`tq^cs<c^q^<csqs>cqgZgz<hZhz<gZnZ<gznz>cqc^qv>cqlZlz<mZmz<fZmZ<fzmz>brj\\bj<j\\rj>asazsz>fnkc'+
'ieigjhkgjfig>atpeps<phnfleiegfehdkdmepgrislsnrpp>`sd^ds<dhffhekemfohpkpmopmrkshsfrdp>asphnfleiegfeh'+
'dkdmepgrislsnrpp>atp^ps<phnfleiegfehdkdmepgrislsnrpp>asdkpkpiognfleiegfehdkdmepgrislsnrpp>eqo^m^k_j'+
'bjs<gene>atpepuoxnylzizgy<phnfleiegfehdkdmepgrislsnrpp>ate^es<eihfjemeofpips>fni^j_k^j]i^<jejs>eoj^'+
'k_l^k]j^<kekvjyhzfz>are^es<oeeo<ikps>fnj^js>[y_e_s<_ibfdegeifjijs<jimfoeretfuius>ateees<eihfjemeofp'+
'ips>atiegfehdkdmepgrislsnrppqmqkphnfleie>`sdedz<dhffhekemfohpkpmopmrkshsfrdp>atpepz<phnfleiegfehdkd'+
'mepgrislsnrpp>cpgegs<gkhhjfleoe>bsphofleieffehfjhkmlompopporlsisfrep>eqj^jokrmsos<gene>ateeeofrhsks'+
'mrpo<peps>brdejs<pejs>_ubefs<jefs<jens<rens>bseeps<pees>brdejs<pejshwfydzcz>bspees<eepe<esps>cqlZj['+
'i\\h^h`ibjckekgii<j[i]i_jakbldlfkhgjkllnlpkrjsiuiwjy<ikkmkojqirhthvixjylz>fnjZjz>cqhZj[k\\l^l`kbjci'+
'eigki<j[k]k_jaibhdhfihmjilhnhpirjskukwjy<kkimiojqkrltlvkxjyhz>^vamakbhdgfghhlknlplrksi<akbidhfhhill'+
'nmpmrlsisg>brb^bscsc^d^dsese^f^fsgsg^h^hsisi^j^jsksk^l^lsmsm^n^nsoso^p^psqsq^r^rs').split('>').map(
r=> { return [r.charCodeAt(0)-106,r.charCodeAt(1)-106, r.substr(2).split('<').map(a => {const ret
= []; for (let i=0; i<a.length; i+=2) {ret.push(a.substr(i, 2).split('').map(b => b.charCodeAt(0)
-106));} return ret; })]; });
return new Text();
}