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@1wheel
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melting-antarctica

Polar coordinates version of Projecting Land suggested by Benjamin Riollet.

// https://d3js.org/d3-geo-projection/ Version 1.0.3. Copyright 2016 Mike Bostock.
!function(n,r){"object"==typeof exports&&"undefined"!=typeof module?r(exports,require("d3-geo"),require("d3-array")):"function"==typeof define&&define.amd?define(["exports","d3-geo","d3-array"],r):r(n.d3=n.d3||{},n.d3,n.d3)}(this,function(n,r,e){"use strict";function t(n){return n?n/Math.sin(n):1}function o(n){return n>1?Ye:n<-1?-Ye:Math.asin(n)}function i(n){return n>1?0:n<-1?Xe:Math.acos(n)}function u(n){return n>0?Math.sqrt(n):0}function a(n){return n=We(2*n),(n-1)/(n+1)}function c(n){return(We(n)-We(-n))/2}function f(n){return(We(n)+We(-n))/2}function l(n){return Te(n+u(n*n+1))}function v(n){return Te(n+u(n*n-1))}function g(n){function r(n,r){var e=Fe(n),o=Fe(r),i=Ke(r),u=o*e,a=-((1-u?Te((1+u)/2)/(1-u):-.5)+t/(1+u));return[a*o*Ke(n),a*i]}var e=Oe(n/2),t=2*Te(Fe(n/2))/(e*e);return r.invert=function(r,e){var i,a=u(r*r+e*e),c=-n/2,f=50;if(!a)return[0,0];do{var l=c/2,v=Fe(l),g=Ke(l),s=Oe(l),h=Te(1/v);c-=i=(2/s*h-t*s-a)/(-h/(g*g)+1-t/(2*v*v))}while(Be(i)>Ue&&--f>0);var w=Ke(c);return[xe(r*w,a*Fe(c)),o(e*w/a)]},r}function s(){var n=Ye,e=r.geoProjectionMutator(g),t=e(n);return t.radius=function(r){return arguments.length?e(n=r*ot):n*tt},t.scale(179.976).clipAngle(147)}function h(n,r){var e=Fe(r),o=t(i(e*Fe(n/=2)));return[2*e*Ke(n)*o,Ke(r)*o]}function w(){return r.geoProjection(h).scale(152.63)}function p(n){function r(n,r){var a=Fe(r),c=Fe(n/=2);return[(1+a)*Ke(n),(o*r>-xe(c,i)-.001?0:10*-o)+u+Ke(r)*t-(1+a)*e*c]}var e=Ke(n),t=Fe(n),o=n>=0?1:-1,i=Oe(o*n),u=(1+e-t)/2;return r.invert=function(n,r){var a=0,c=0,f=50;do{var l=Fe(a),v=Ke(a),g=Fe(c),s=Ke(c),h=1+g,w=h*v-n,p=u+s*t-h*e*l-r,d=h*l/2,P=-v*s,R=e*h*v/2,m=t*g+e*l*s,j=P*R-m*d,M=(p*P-w*m)/j/2,A=(w*R-p*d)/j;a-=M,c-=A}while((Be(M)>Ue||Be(A)>Ue)&&--f>0);return o*c>-xe(Fe(a),i)-.001?[2*a,c]:null},r}function d(){var n=20*ot,e=n>=0?1:-1,t=Oe(e*n),o=r.geoProjectionMutator(p),i=o(n),u=i.stream;return i.parallel=function(r){return arguments.length?(t=Oe((e=(n=r*ot)>=0?1:-1)*n),o(n)):n*tt},i.stream=function(r){var o=i.rotate(),a=u(r),c=(i.rotate([0,0]),u(r));return i.rotate(o),a.sphere=function(){c.polygonStart(),c.lineStart();for(var r=e*-180;e*r<180;r+=90*e)c.point(r,90*e);for(;e*(r-=n)>=-180;)c.point(r,e*-xe(Fe(r*ot/2),t)*tt);c.lineEnd(),c.polygonEnd()},a},i.scale(218.695).center([0,28.0974])}function P(n,r){var e=Oe(r/2),t=u(1-e*e),o=1+t*Fe(n/=2),i=Ke(n)*t/o,a=e/o,c=i*i,f=a*a;return[4/3*i*(3+c-3*f),4/3*a*(3+3*c-f)]}function R(){return r.geoProjection(P).scale(66.1603)}function m(n,r){var e=Be(r);return e<Ze?[n,Te(Oe(Ze+r/2))]:[n*Fe(e)*(2*nt-1/Ke(e)),_e(r)*(2*nt*(e-Ze)-Te(Oe(e/2)))]}function j(){return r.geoProjection(m).scale(112.314)}function M(n){function e(n,e){var i=r.geoAzimuthalEquidistantRaw(n,e);if(Be(n)>Ye){var a=xe(i[1],i[0]),c=u(i[0]*i[0]+i[1]*i[1]),f=t*Ne((a-Ye)/t)+Ye,l=xe(Ke(a-=f),2-Fe(a));a=f+o(Xe/c*Ke(l))-l,i[0]=c*Fe(a),i[1]=c*Ke(a)}return i}var t=2*Xe/n;return e.invert=function(n,e){var o=u(n*n+e*e);if(o>Ye){var a=xe(e,n),c=t*Ne((a-Ye)/t)+Ye,f=a>c?-1:1,l=o*Fe(c-a),v=1/Oe(f*i((l-Xe)/u(Xe*(Xe-2*l)+o*o)));a=c+2*Le((v+f*u(v*v-3))/3),n=o*Fe(a),e=o*Ke(a)}return r.geoAzimuthalEquidistantRaw.invert(n,e)},e}function A(){var n=5,e=r.geoProjectionMutator(M),t=e(n),i=t.stream,u=.01,a=-Fe(u*ot),c=Ke(u*ot);return t.lobes=function(r){return arguments.length?e(n=+r):n},t.stream=function(r){var e=t.rotate(),f=i(r),l=(t.rotate([0,0]),i(r));return t.rotate(e),f.sphere=function(){l.polygonStart(),l.lineStart();for(var r=0,e=360/n,t=2*Xe/n,i=90-180/n,f=Ye;r<n;++r,i-=e,f-=t)l.point(xe(c*Fe(f),a)*tt,o(c*Ke(f))*tt),i<-90?(l.point(-90,-180-i-u),l.point(-90,-180-i+u)):(l.point(90,i+u),l.point(90,i-u));l.lineEnd(),l.polygonEnd()},f},t.scale(87.8076).center([0,17.1875]).clipAngle(179.999)}function y(n,r){var e,t=n*Ke(r),o=30;do r-=e=(r+Ke(r)-t)/(1+Fe(r));while(Be(e)>Ue&&--o>0);return r/2}function E(n,r,e){function t(t,o){return[n*t*Fe(o=y(e,o)),r*Ke(o)]}return t.invert=function(t,i){return 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o,i=[[n[0],n[1],Ke(n[1]),Fe(n[1])],[r[0],r[1],Ke(r[1]),Fe(r[1])],[e[0],e[1],Ke(e[1]),Fe(e[1])]],u=i[2],a=0;a<3;++a,u=o)o=i[a],u.v=F(o[1]-u[1],u[3],u[2],o[3],o[2],o[0]-u[0]),u.point=[0,0];var c=W(i[0].v[0],i[2].v[0],i[1].v[0]),f=W(i[0].v[0],i[1].v[0],i[2].v[0]),l=Xe-c;i[2].point[1]=0,i[0].point[0]=-(i[1].point[0]=i[0].v[0]/2);var v=[i[2].point[0]=i[0].point[0]+i[2].v[0]*Fe(c),2*(i[0].point[1]=i[1].point[1]=i[2].v[0]*Ke(c))];return t}function D(n){return n[0]*=ot,n[1]*=ot,n}function V(){return Q([0,22],[45,22],[22.5,-22]).scale(380).center([22.5,2])}function Q(n,e,t){var o=r.geoCentroid({type:"MultiPoint",coordinates:[n,e,t]}),i=[-o[0],-o[1]],u=r.geoRotation(i),a=r.geoProjection(T(D(u(n)),D(u(e)),D(u(t)))).rotate(i),c=a.center;return delete a.rotate,a.center=function(n){return arguments.length?c(u(n)):u.invert(c())},a.clipAngle(90)}function N(n,r){var e=u(1-Ke(r));return[2/rt*n*e,rt*(1-e)]}function _(){return r.geoProjection(N).scale(95.6464).center([0,30])}function K(n){function 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e=u(Xe*(4+Xe));return[2/e*n*(1+u(1-4*r*r/(Xe*Xe))),4/e*r]}function un(){return r.geoProjection(on).scale(180.739)}function an(n,r){var e=(2+Ye)*Ke(r);r/=2;for(var t=0,o=1/0;t<10&&Be(o)>Ue;t++){var i=Fe(r);r-=o=(r+Ke(r)*(i+2)-e)/(2*i*(1+i))}return[2/u(Xe*(4+Xe))*n*(1+Fe(r)),2*u(Xe/(4+Xe))*Ke(r)]}function cn(){return r.geoProjection(an).scale(180.739)}function fn(n,r){return[n*(1+Fe(r))/u(2+Xe),2*r/u(2+Xe)]}function ln(){return r.geoProjection(fn).scale(173.044)}function vn(n,r){for(var e=(1+Ye)*Ke(r),t=0,o=1/0;t<10&&Be(o)>Ue;t++)r-=o=(r+Ke(r)-e)/(1+Fe(r));return e=u(2+Xe),[n*(1+Fe(r))/e,2*r/e]}function gn(){return r.geoProjection(vn).scale(173.044)}function sn(n,r){var e=Ke(n/=2),t=Fe(n),o=u(Fe(r)),i=Fe(r/=2),a=Ke(r)/(i+nt*t*o),c=u(2/(1+a*a)),f=u((nt*i+(t+e)*o)/(nt*i+(t-e)*o));return[gt*(c*(f-1/f)-2*Te(f)),gt*(c*a*(f+1/f)-2*Le(a))]}function hn(){return r.geoProjection(sn).scale(62.5271)}function wn(n,r){var e=Oe(r/2);return[n*st*u(1-e*e),(1+st)*e]}function pn(){return 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e,t=r,o=25;do{var i=t*t,u=i*i;t-=e=(t*(1.007226+i*(.015085+u*(-.044475+.028874*i-.005916*u)))-r)/(1.007226+i*(.045255+u*(-.311325+.259866*i-.005916*11*u)))}while(Be(e)>Ue&&--o>0);return[n/(.8707+(i=t*t)*(-.131979+i*(-.013791+i*i*i*(.003971-.001529*i)))),t]},Ur.invert=function(n,r){for(var e=r/2,t=0,o=1/0;t<10&&Be(o)>Ue;++t){var i=Fe(r/2);r-=o=(r-Oe(r/2)-e)/(1-.5/(i*i))}return[2*n/(1+Fe(r)),r]};var xt=1.0148,Ft=.23185,Wt=-.14499,It=.02406,Tt=xt,Dt=5*Ft,Vt=7*Wt,Qt=9*It,Nt=1.790857183;Xr.invert=function(n,r){r>Nt?r=Nt:r<-Nt&&(r=-Nt);var e,t=r;do{var o=t*t;t-=e=(t*(xt+o*o*(Ft+o*(Wt+It*o)))-r)/(Tt+o*o*(Dt+o*(Vt+Qt*o)))}while(Be(e)>Ue);return[n,t]},$r.invert=function(n,r){if(Be(r)<Ue)return[n,0];var e,t=n*n+r*r,u=.5*r,a=10;do{var c=Oe(u),f=1/Fe(u),l=t-2*r*u+u*u;u-=e=(c*l+2*(u-r))/(2+l*f*f+2*(u-r)*c)}while(Be(e)>Ue&&--a>0);return c=Oe(u),[(Be(r)<Be(u+1/c)?o(n*c):_e(n)*(i(Be(n*c))+Ye))/Ke(u),u]};var 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/**
* @license
* Lodash lodash.com/license | Underscore.js 1.8.3 underscorejs.org/LICENSE
*/
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<!DOCTYPE html>
<meta charset='utf-8'>
<link rel='stylesheet' type='text/css' href='style.css'>
<body>
<div id='map-container'><canvas id='map'></canvas></div>
</body>
<script src='d3_.js'></script>
<script src='d3-geo-projection.js'></script>
<script src='topojson.js'></script>
<script src='script.js'></script>
console.clear()
var width = 800
var height = width
var colors = ['#F44336', '#2196F3', '#4CAF50', '#9C27B0', '#ccc','#FF9800', '#795548']
console.log('hi')
d3.json('world-110m.json', function(err, world){
//set up canvas
var ctx = d3.select('#map')
.at({width: width, height: height})
.st({width: width + 'px', height: height + 'px'})
.node().getContext('2d')
// draw map
var projection = d3.geoMollweide()
.rotate([0, 90])
.fitSize([width, height], topojson.feature(world, world.objects.countries))
var path = d3.geoPath().projection(projection).context(ctx)
d3.nestBy(world.objects.countries.geometries, d => d.properties.continent)
.map(d => topojson.merge(world, d))
.sort(d3.descendingKey(d => d.coordinates.length))
.forEach(function(d, i){
ctx.fillStyle = colors[i]
// ctx.strokeStyle = '#000'
// ctx.lineWidth = 1
ctx.beginPath(), path(d), ctx.fill()//, ctx.stroke()
})
var {pts, imgData} = ctxToPixels(ctx)
calcNextPixel(pts)
var sortedPts = _.sortBy(pts, d => d.r)
// set to -d.r to bubble out water
// var sortedPts = _.shuffle(pts)
var rgbaClear = [0, 0, 0, 0]
var stepCount = 0
function step(){
stepCount++
// var isSkipDiag = Math.random() < .5
var isSkipDiag = stepCount % 2
sortedPts.forEach(d => {
if (!d.next) return
if (d.next.rgba[3] == 0 && d.rgba[3] != 0){
// TODO: fix near corner tearing
if (d.manhattanDist == 2 && isSkipDiag) return
// if (d.manhattanDist == 2) d.skip = !d.skip
// if (d.skip) return
d.next.rgba = d.rgba
d.rgba = rgbaClear
// TODO: add active queue
}
})
pts.forEach((d, i) => {
imgData.data[i*4 + 0] = d.rgba[0]
imgData.data[i*4 + 1] = d.rgba[1]
imgData.data[i*4 + 2] = d.rgba[2]
imgData.data[i*4 + 3] = d.rgba[3]
})
ctx.putImageData(imgData, 0, 0)
}
window.interval?.stop()
window.interval = d3.interval(() => {
if (stepCount > 300) interval.stop()
step()
}, 0)
d3.select('body').on('click', step)
})
function ctxToPixels(ctx){
var imgData = ctx.getImageData(0, 0, width, height)
var data = imgData.data
var pts = []
for (var y = 0; y < height; y += 1) {
for (var x = 0; x < width; x += 1) {
var i = (x + y*width)*4
var rgba = [data[i], data[i + 1], data[i + 2], data[i + 3]]
pts.push({x, y, rgba})
}
}
return {pts, imgData}
}
function calcNextPixel(pts){
var cx = Math.floor(width/2)
var cy = Math.floor(height/2)
pts.forEach((d, i) => {
var dx = d.x - cx
var dy = d.y - cx
var r = Math.sqrt(dx*dx + dy*dy)
var θ = Math.atan2(dy, dx)
var nx = Math.round((r - .8)*Math.cos(θ)) + cx
var ny = Math.round((r - .8)*Math.sin(θ)) + cy
d.origI = i
d.r = r
d.next = pts[nx + ny*width]
d.manhattanDist = Math.abs(d.x - nx) + Math.abs(d.y - ny)
})
}
body {
background: #000;
}
canvas {
image-rendering: pixelated;
display: inline-block;
position: relative;
/* TODO: fix height math in js*/
top: -200px;
}
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