micahstubbs · August 27, 2016 23:51
diff --git a/.block b/.block
 border: no
 license: gpl-3.0
diff --git a/README.md b/README.md
diff --git a/index.html b/index.html
 <!DOCTYPE html>
 <meta charset="utf-8">
 <head>
    <style>
        polygon {
          fill: #ccc;
          stroke: black;
        }
    </style>
    <script src="//d3js.org/d3.v4.min.js"></script>
    <script src="states.js"></script>
    <script src="shapeTween.js"></script>
 </head>
 <body>
 </body>
 <script>

    var width = 960,
        height = 500,
        interval = 2000;

    var projection = d3.geoMercator()
        .rotate([100, 0])
        .center([5, 37.7])
        .scale(800);

    var svg = d3.select("body").append("svg")
        .attr("width", width)
        .attr("height", height);
    
    var g = svg.append("g")
        .attr("clip-path", "url(#myClip)")

    var voronoi = d3.voronoi().size([width, height]),
        voronoiData = voronoi(stateData.map(function(d) {return projection(d.capital);})).polygons();

    stateData.forEach(function(d, i) {
        d.vorShape = []
        for (n=0; n<voronoiData[i].length; n++) {d.vorShape.push(voronoiData[i][n])}
        d.projected = d.geometry.coordinates[0].map(projection) 
    })

    var clip = svg.append("clipPath")
        .attr("id", "myClip")
        .selectAll("path")
        .data(stateData)
        .enter().append("path")
            .attr("d", function(d) {return "M" + d.projected});    

    var states = g.selectAll("g")
        .data(stateData)
      .enter().append("g")
        .attr("id", function(d) {return d.name})
        
    states.each(function(p) {
        
        d3.select(this).append("polygon")
            .attr("points", p.projected);

        d3.select(this).append("circle")
            .attr("cx", projection(p.capital)[0])
            .attr("cy", projection(p.capital)[1])
            .attr("r", 2);
    })

    d3.timeout(function() {loop()}, interval);

    function loop() {
        const ihsl = d3.interpolateHslLong('#ccc', 'green');
        states.each(function(p) {
            d3.select(this).select("polygon")
                .transition().duration(interval)
                .attr("points", shapeTweenSides(p.projected, p.vorShape, true))
                .style('fill', ihsl(.25))
                .style('stroke', 'white')
                .style('stroke-width', '2px')
                .transition().delay(interval).duration(interval)
                .attr("points", p.projected)
                .style('fill', ihsl(0))
                .style('stroke', 'black')
                .style('stroke-width', '1px');

            d3.select(this).select('circle')
                .transition().duration(interval)
                .style('fill', 'white')
                .transition().delay(interval).duration(interval)
                .style('fill', 'black');
        })

        d3.timeout(function() {loop()}, interval * 4);
    }
 </script>
diff --git a/preview.png b/preview.png
diff --git a/preview.xcf b/preview.xcf
diff --git a/shapeTween.js b/shapeTween.js
 //this distributes the points based on 'sides' of the shorter path
 //this results in a more accurate final shape, but the transition is often not as clean
 function shapeTweenSides(shape1, shape2, findStart) {

    var fromShape = [], toShape = [], newShape = [];

    //make sure fromShape is the longer array
    if (shape1.length > shape2.length) {
        fromShape = shape1;
        toShape = shape2;
    } else {
        fromShape = shape2;
        toShape = shape1;            
    }

    //make sure the orientation of the shapes match
    if (d3.polygonArea(fromShape) < 0 != d3.polygonArea(toShape) < 0) toShape.reverse();

    //calculate how many sides on toShape and how many points per side in order to have a matching number of points
    var sides = toShape.length;
    var stepsPerSide = Math.floor(fromShape.length/sides);

    //cycle through each side, adding points along that side's path
    for (i=0; i<sides; i++) {
        var pointA = toShape[i];
        var pointB;

        //if it's the last side, change the step count to use the rest of the points needed to match lengths
        if (toShape[i+1]) {
            pointB = toShape[i+1];
        } else {
            pointB = toShape[0];
            stepsPerSide = fromShape.length - newShape.length;
        }
        
        var stepX = (pointB[0] - pointA[0])/stepsPerSide,
            stepY = (pointB[1] - pointA[1])/stepsPerSide;

        for (n=0; n<stepsPerSide;n++) {
            var newX = toShape[i][0] + (stepX * n),
                newY = toShape[i][1] + (stepY * n);
            newShape.push([newX, newY])
        }
    }
    return findStart ? findStartingPoint(fromShape, newShape) : newShape;
 }

 //this is often much smoother, but can result in skipped or rounded corners
 //it also requires creating a hidden path element in order to use getPointAtLength to plot the points 
 function shapeTweenLength(shape1, shape2, findStart){

    var newShape = findStart ? findStartingPoint(shape1, shape2) : shape2;

    var distances = getDistances(shape1),
        totalLength = d3.max(getDistances(newShape)),
        coordsScale = d3.scaleLinear().range([0,1]).domain([0,d3.max(distances)])
    
    var hiddenShape;

    if (!document.getElementById("hiddenShape")) {
        hiddenShape = d3.select('svg').append("path").attr("id", "hiddenShape");
    } else {
        hiddenShape = d3.select('svg').select("#hiddenShape");
    }

    hiddenShape.datum(newShape)
        .attr("d", d3.line())
        .style("visibility", "hidden");
        
    for (i in shape1) { 
        var newPoint = document.getElementById("hiddenShape")
            .getPointAtLength(coordsScale(distances[i]) * totalLength);
        newShape[i] = [newPoint.x, newPoint.y];
    }

    //check the rotational direction by calculating the polygon's area. reverse the array of points if needed.
    return d3.polygonArea(newShape) < 0 ? newShape : newShape.reverse();

    //get distances along the perimeter for plotting the points proportionally
    function getDistances(coordsArray) {
        var distances = [0];
        for (i=1; i<coordsArray.length; i++) {
            distances[i] = distances[i-1] + calcDistance(coordsArray[i-1], coordsArray[i]);
        }
        return distances;
    }  
 }

 //optional function to match the starting point for both shapes
 function findStartingPoint(fromCoords, toCoords) {      

    var closestDist = calcDistance(fromCoords[0], toCoords[0]),
        closestPoints = {},
        tempArrayFrom = [],
        tempArrayTo = [];

    for (n=0; n<toCoords.length; n++) {
        var thisDist = calcDistance(fromCoords[0], toCoords[n]);
        if (thisDist < closestDist) {
            closestDist = thisDist;
            closestPoints = {"from":0, "to":n};
        }
    }

    for (i=0; i<toCoords.length; i++) {
        tempArrayTo.push(toCoords[i]);
    }
        
    return tempArrayTo.splice(closestPoints.to).concat(tempArrayTo)
 }

 //convenience function for calculating distance between two points
 function calcDistance(coord1, coord2) {
    var distX = coord2[0] - coord1[0];
    var distY = coord2[1] - coord1[1];
    return Math.sqrt(distX * distX + distY * distY);
 }
diff --git a/states.js b/states.js
 //cheated! removed islands and made a land bridge between the two parts of Michigan...
 //and again!!! manually rotated some starting points for smoother transition
 var stateData = 
 [{
 	"name": "Alabama",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-87.359296, 35.00118],
 				[-85.606675, 34.984749],
 				[-85.431413, 34.124869],
 				[-85.184951, 32.859696],
 				[-85.069935, 32.580372],
 				[-84.960397, 32.421541],
 				[-85.004212, 32.322956],
 				[-84.889196, 32.262709],
 				[-85.058981, 32.13674],
 				[-85.053504, 32.01077],
 				[-85.141136, 31.840985],
 				[-85.042551, 31.539753],
 				[-85.113751, 31.27686],
 				[-85.004212, 31.003013],
 				[-85.497137, 30.997536],
 				[-87.600282, 30.997536],
 				[-87.633143, 30.86609],
 				[-87.408589, 30.674397],
 				[-87.446927, 30.510088],
 				[-87.37025, 30.427934],
 				[-87.518128, 30.280057],
 				[-87.655051, 30.247195],
 				[-87.90699, 30.411504],
 				[-87.934375, 30.657966],
 				[-88.011052, 30.685351],
 				[-88.10416, 30.499135],
 				[-88.137022, 30.318396],
 				[-88.394438, 30.367688],
 				[-88.471115, 31.895754],
 				[-88.241084, 33.796253],
 				[-88.098683, 34.891641],
 				[-88.202745, 34.995703],
 				[-87.359296, 35.00118]
 			]
 		]
 	},
 	"capital": [-86.279118, 32.361538]
 }, {
 	"name": "Arizona",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-109.042503, 37.000263],
 				[-109.04798, 31.331629],
 				[-111.074448, 31.331629],
 				[-112.246513, 31.704061],
 				[-114.815198, 32.492741],
 				[-114.72209, 32.717295],
 				[-114.524921, 32.755634],
 				[-114.470151, 32.843265],
 				[-114.524921, 33.029481],
 				[-114.661844, 33.034958],
 				[-114.727567, 33.40739],
 				[-114.524921, 33.54979],
 				[-114.497536, 33.697668],
 				[-114.535874, 33.933176],
 				[-114.415382, 34.108438],
 				[-114.256551, 34.174162],
 				[-114.136058, 34.305608],
 				[-114.333228, 34.448009],
 				[-114.470151, 34.710902],
 				[-114.634459, 34.87521],
 				[-114.634459, 35.00118],
 				[-114.574213, 35.138103],
 				[-114.596121, 35.324319],
 				[-114.678275, 35.516012],
 				[-114.738521, 36.102045],
 				[-114.371566, 36.140383],
 				[-114.251074, 36.01989],
 				[-114.152489, 36.025367],
 				[-114.048427, 36.195153],
 				[-114.048427, 37.000263],
 				[-110.499369, 37.00574],
 				[-109.042503, 37.000263]
 			]
 		]
 	},
 	"capital": [-112.073844, 33.448457]
 }, {
 	"name": "Arkansas",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-94.473842, 36.501861],
 				[-90.152536, 36.496384],
 				[-90.064905, 36.304691],
 				[-90.218259, 36.184199],
 				[-90.377091, 35.997983],
 				[-89.730812, 35.997983],
 				[-89.763673, 35.811767],
 				[-89.911551, 35.756997],
 				[-89.944412, 35.603643],
 				[-90.130628, 35.439335],
 				[-90.114197, 35.198349],
 				[-90.212782, 35.023087],
 				[-90.311367, 34.995703],
 				[-90.251121, 34.908072],
 				[-90.409952, 34.831394],
 				[-90.481152, 34.661609],
 				[-90.585214, 34.617794],
 				[-90.568783, 34.420624],
 				[-90.749522, 34.365854],
 				[-90.744046, 34.300131],
 				[-90.952169, 34.135823],
 				[-90.891923, 34.026284],
 				[-91.072662, 33.867453],
 				[-91.231493, 33.560744],
 				[-91.056231, 33.429298],
 				[-91.143862, 33.347144],
 				[-91.089093, 33.13902],
 				[-91.16577, 33.002096],
 				[-93.608485, 33.018527],
 				[-94.041164, 33.018527],
 				[-94.041164, 33.54979],
 				[-94.183564, 33.593606],
 				[-94.380734, 33.544313],
 				[-94.484796, 33.637421],
 				[-94.430026, 35.395519],
 				[-94.616242, 36.501861],
 				[-94.473842, 36.501861]
 			]
 		]
 	},
 	"capital": [-92.331122, 34.736009]
 }, {
 	"name": "California",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-123.233256, 42.006186],
 				[-122.378853, 42.011663],
 				[-121.037003, 41.995232],
 				[-120.001861, 41.995232],
 				[-119.996384, 40.264519],
 				[-120.001861, 38.999346],
 				[-118.71478, 38.101128],
 				[-117.498899, 37.21934],
 				[-116.540435, 36.501861],
 				[-115.85034, 35.970598],
 				[-114.634459, 35.00118],
 				[-114.634459, 34.87521],
 				[-114.470151, 34.710902],
 				[-114.333228, 34.448009],
 				[-114.136058, 34.305608],
 				[-114.256551, 34.174162],
 				[-114.415382, 34.108438],
 				[-114.535874, 33.933176],
 				[-114.497536, 33.697668],
 				[-114.524921, 33.54979],
 				[-114.727567, 33.40739],
 				[-114.661844, 33.034958],
 				[-114.524921, 33.029481],
 				[-114.470151, 32.843265],
 				[-114.524921, 32.755634],
 				[-114.72209, 32.717295],
 				[-116.04751, 32.624187],
 				[-117.126467, 32.536556],
 				[-117.24696, 32.668003],
 				[-117.252437, 32.876127],
 				[-117.329114, 33.122589],
 				[-117.471515, 33.297851],
 				[-117.7837, 33.538836],
 				[-118.183517, 33.763391],
 				[-118.260194, 33.703145],
 				[-118.413548, 33.741483],
 				[-118.391641, 33.840068],
 				[-118.566903, 34.042715],
 				[-118.802411, 33.998899],
 				[-119.218659, 34.146777],
 				[-119.278905, 34.26727],
 				[-119.558229, 34.415147],
 				[-119.875891, 34.40967],
 				[-120.138784, 34.475393],
 				[-120.472878, 34.448009],
 				[-120.64814, 34.579455],
 				[-120.609801, 34.858779],
 				[-120.670048, 34.902595],
 				[-120.631709, 35.099764],
 				[-120.894602, 35.247642],
 				[-120.905556, 35.450289],
 				[-121.004141, 35.461243],
 				[-121.168449, 35.636505],
 				[-121.283465, 35.674843],
 				[-121.332757, 35.784382],
 				[-121.716143, 36.195153],
 				[-121.896882, 36.315645],
 				[-121.935221, 36.638785],
 				[-121.858544, 36.6114],
 				[-121.787344, 36.803093],
 				[-121.929744, 36.978355],
 				[-122.105006, 36.956447],
 				[-122.335038, 37.115279],
 				[-122.417192, 37.241248],
 				[-122.400761, 37.361741],
 				[-122.515777, 37.520572],
 				[-122.515777, 37.783465],
 				[-122.329561, 37.783465],
 				[-122.406238, 38.15042],
 				[-122.488392, 38.112082],
 				[-122.504823, 37.931343],
 				[-122.701993, 37.893004],
 				[-122.937501, 38.029928],
 				[-122.97584, 38.265436],
 				[-123.129194, 38.451652],
 				[-123.331841, 38.566668],
 				[-123.44138, 38.698114],
 				[-123.737134, 38.95553],
 				[-123.687842, 39.032208],
 				[-123.824765, 39.366301],
 				[-123.764519, 39.552517],
 				[-123.85215, 39.831841],
 				[-124.109566, 40.105688],
 				[-124.361506, 40.259042],
 				[-124.410798, 40.439781],
 				[-124.158859, 40.877937],
 				[-124.109566, 41.025814],
 				[-124.158859, 41.14083],
 				[-124.065751, 41.442061],
 				[-124.147905, 41.715908],
 				[-124.257444, 41.781632],
 				[-124.213628, 42.000709],
 				[-123.233256, 42.006186]
 			]
 		]
 	},
 	"capital": [-121.468926, 38.555605]
 }, {
 	"name": "Colorado",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-107.919731, 41.003906],
 				[-105.728954, 40.998429],
 				[-104.053011, 41.003906],
 				[-102.053927, 41.003906],
 				[-102.053927, 40.001626],
 				[-102.042974, 36.994786],
 				[-103.001438, 37.000263],
 				[-104.337812, 36.994786],
 				[-106.868158, 36.994786],
 				[-107.421329, 37.000263],
 				[-109.042503, 37.000263],
 				[-109.042503, 38.166851],
 				[-109.058934, 38.27639],
 				[-109.053457, 39.125316],
 				[-109.04798, 40.998429],
 				[-107.919731, 41.003906]
 			]
 		]
 	},
 	"capital": [-104.984167, 39.7391667]
 }, {
 	"name": "Connecticut",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-71.859555, 41.321569],
 				[-71.947186, 41.338],
 				[-72.385341, 41.261322],
 				[-72.905651, 41.28323],
 				[-73.130205, 41.146307],
 				[-73.371191, 41.102491],
 				[-73.655992, 40.987475],
 				[-73.727192, 41.102491],
 				[-73.48073, 41.21203],
 				[-73.55193, 41.294184],
 				[-73.486206, 42.050002],
 				[-73.053528, 42.039048],
 				[-73.053528, 42.039048],
 				[-71.799309, 42.022617],
 				[-71.799309, 42.006186],
 				[-71.799309, 41.414677]
 			]
 		]
 	},
 	"capital": [-72.677, 41.767]
 }, {
 	"name": "Delaware",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-75.414089, 39.804456],
 				[-75.507197, 39.683964],
 				[-75.611259, 39.61824],
 				[-75.589352, 39.459409],
 				[-75.441474, 39.311532],
 				[-75.403136, 39.065069],
 				[-75.189535, 38.807653],
 				[-75.09095, 38.796699],
 				[-75.047134, 38.451652],
 				[-75.693413, 38.462606],
 				[-75.786521, 39.722302],
 				[-75.616736, 39.831841],
 				[-75.414089, 39.804456]
 			]
 		]
 	},
 	"capital": [-75.526755, 39.161921]
 }, {
 	"name": "Florida",
 	"geometry": {
 		"type": "Polygon",
 		"coordinates": [
 			[
 				[-85.497137, 30.997536],
 				[-85.004212, 31.003013],
 				[-84.867289, 30.712735],
 				[-83.498053, 30.647012],
 				[-82.216449, 30.570335],
 				[-82.167157, 30.356734],
 				[-82.046664, 30.362211],
 				[-82.002849, 30.564858],
 				[-82.041187, 30.751074],
 				[-81.948079, 30.827751],
 				[-81.718048, 30.745597],
 				[-81.444201, 30.707258],
 				[-81.383954, 30.27458],
 				[-81.257985, 29.787132],
 				[-80.967707, 29.14633],
 				[-80.524075, 28.461713],
 				[-80.589798, 28.41242],
 				[-80.56789, 28.094758],
 				[-80.381674, 27.738757],
 				[-80.091397, 27.021277],
 				[-80.03115, 26.796723],
 				[-80.036627, 26.566691],
 				[-80.146166, 25.739673],
 				[-80.239274, 25.723243],
 				[-80.337859, 25.465826],
 				[-80.304997, 25.383672],
 				[-80.49669, 25.197456],
 				[-80.573367, 25.241272],
 				[-80.759583, 25.164595],
 				[-81.077246, 25.120779],
 				[-81.170354, 25.224841],
 				[-81.126538, 25.378195],
 				[-81.351093, 25.821827],
 				[-81.526355, 25.903982],
 				[-81.679709, 25.843735],
 				[-81.800202, 26.090198],
 				[-81.833064, 26.292844],
 				[-82.041187, 26.517399],
 				[-82.09048, 26.665276],
 				[-82.057618, 26.878877],
 				[-82.172634, 26.917216],
 				[-82.145249, 26.791246],
 				[-82.249311, 26.758384],
 				[-82.566974, 27.300601],
 				[-82.692943, 27.437525],
 				[-82.391711, 27.837342],
 				[-82.588881, 27.815434],
 				[-82.720328, 27.689464],
 				[-82.851774, 27.886634],
 				[-82.676512, 28.434328],
 				[-82.643651, 28.888914],
 				[-82.764143, 28.998453],
 				[-82.802482, 29.14633],
 				[-82.994175, 29.179192],
 				[-83.218729, 29.420177],
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diff --git a/thumbnail.png b/thumbnail.png
	<!DOCTYPE html>
	<meta charset="utf-8">
	<head>
	<style>
	polygon {
	fill: #ccc;
	stroke: black;
	}
	</style>
	<script src="//d3js.org/d3.v4.min.js"></script>
	<script src="states.js"></script>
	<script src="shapeTween.js"></script>
	</head>
	<body>
	</body>
	<script>

	var width = 960,
	height = 500,
	interval = 2000;

	var projection = d3.geoMercator()
	.rotate([100, 0])
	.center([5, 37.7])
	.scale(800);

	var svg = d3.select("body").append("svg")
	.attr("width", width)
	.attr("height", height);

	var g = svg.append("g")
	.attr("clip-path", "url(#myClip)")

	var voronoi = d3.voronoi().size([width, height]),
	voronoiData = voronoi(stateData.map(function(d) {return projection(d.capital);})).polygons();

	stateData.forEach(function(d, i) {
	d.vorShape = []
	for (n=0; n<voronoiData[i].length; n++) {d.vorShape.push(voronoiData[i][n])}
	d.projected = d.geometry.coordinates[0].map(projection)
	})

	var clip = svg.append("clipPath")
	.attr("id", "myClip")
	.selectAll("path")
	.data(stateData)
	.enter().append("path")
	.attr("d", function(d) {return "M" + d.projected});

	var states = g.selectAll("g")
	.data(stateData)
	.enter().append("g")
	.attr("id", function(d) {return d.name})

	states.each(function(p) {

	d3.select(this).append("polygon")
	.attr("points", p.projected);

	d3.select(this).append("circle")
	.attr("cx", projection(p.capital)[0])
	.attr("cy", projection(p.capital)[1])
	.attr("r", 2);
	})

	d3.timeout(function() {loop()}, interval);

	function loop() {
	const ihsl = d3.interpolateHslLong('#ccc', 'green');
	states.each(function(p) {
	d3.select(this).select("polygon")
	.transition().duration(interval)
	.attr("points", shapeTweenSides(p.projected, p.vorShape, true))
	.style('fill', ihsl(.25))
	.style('stroke', 'white')
	.style('stroke-width', '2px')
	.transition().delay(interval).duration(interval)
	.attr("points", p.projected)
	.style('fill', ihsl(0))
	.style('stroke', 'black')
	.style('stroke-width', '1px');

	d3.select(this).select('circle')
	.transition().duration(interval)
	.style('fill', 'white')
	.transition().delay(interval).duration(interval)
	.style('fill', 'black');
	})

	d3.timeout(function() {loop()}, interval * 4);
	}
	</script>
	//this distributes the points based on 'sides' of the shorter path
	//this results in a more accurate final shape, but the transition is often not as clean
	function shapeTweenSides(shape1, shape2, findStart) {

	var fromShape = [], toShape = [], newShape = [];

	//make sure fromShape is the longer array
	if (shape1.length > shape2.length) {
	fromShape = shape1;
	toShape = shape2;
	} else {
	fromShape = shape2;
	toShape = shape1;
	}

	//make sure the orientation of the shapes match
	if (d3.polygonArea(fromShape) < 0 != d3.polygonArea(toShape) < 0) toShape.reverse();

	//calculate how many sides on toShape and how many points per side in order to have a matching number of points
	var sides = toShape.length;
	var stepsPerSide = Math.floor(fromShape.length/sides);

	//cycle through each side, adding points along that side's path
	for (i=0; i<sides; i++) {
	var pointA = toShape[i];
	var pointB;

	//if it's the last side, change the step count to use the rest of the points needed to match lengths
	if (toShape[i+1]) {
	pointB = toShape[i+1];
	} else {
	pointB = toShape[0];
	stepsPerSide = fromShape.length - newShape.length;
	}

	var stepX = (pointB[0] - pointA[0])/stepsPerSide,
	stepY = (pointB[1] - pointA[1])/stepsPerSide;

	for (n=0; n<stepsPerSide;n++) {
	var newX = toShape[i][0] + (stepX * n),
	newY = toShape[i][1] + (stepY * n);
	newShape.push([newX, newY])
	}
	}
	return findStart ? findStartingPoint(fromShape, newShape) : newShape;
	}

	//this is often much smoother, but can result in skipped or rounded corners
	//it also requires creating a hidden path element in order to use getPointAtLength to plot the points
	function shapeTweenLength(shape1, shape2, findStart){

	var newShape = findStart ? findStartingPoint(shape1, shape2) : shape2;

	var distances = getDistances(shape1),
	totalLength = d3.max(getDistances(newShape)),
	coordsScale = d3.scaleLinear().range([0,1]).domain([0,d3.max(distances)])

	var hiddenShape;

	if (!document.getElementById("hiddenShape")) {
	hiddenShape = d3.select('svg').append("path").attr("id", "hiddenShape");
	} else {
	hiddenShape = d3.select('svg').select("#hiddenShape");
	}

	hiddenShape.datum(newShape)
	.attr("d", d3.line())
	.style("visibility", "hidden");

	for (i in shape1) {
	var newPoint = document.getElementById("hiddenShape")
	.getPointAtLength(coordsScale(distances[i]) * totalLength);
	newShape[i] = [newPoint.x, newPoint.y];
	}

	//check the rotational direction by calculating the polygon's area. reverse the array of points if needed.
	return d3.polygonArea(newShape) < 0 ? newShape : newShape.reverse();

	//get distances along the perimeter for plotting the points proportionally
	function getDistances(coordsArray) {
	var distances = [0];
	for (i=1; i<coordsArray.length; i++) {
	distances[i] = distances[i-1] + calcDistance(coordsArray[i-1], coordsArray[i]);
	}
	return distances;
	}
	}

	//optional function to match the starting point for both shapes
	function findStartingPoint(fromCoords, toCoords) {

	var closestDist = calcDistance(fromCoords[0], toCoords[0]),
	closestPoints = {},
	tempArrayFrom = [],
	tempArrayTo = [];

	for (n=0; n<toCoords.length; n++) {
	var thisDist = calcDistance(fromCoords[0], toCoords[n]);
	if (thisDist < closestDist) {
	closestDist = thisDist;
	closestPoints = {"from":0, "to":n};
	}
	}

	for (i=0; i<toCoords.length; i++) {
	tempArrayTo.push(toCoords[i]);
	}

	return tempArrayTo.splice(closestPoints.to).concat(tempArrayTo)
	}

	//convenience function for calculating distance between two points
	function calcDistance(coord1, coord2) {
	var distX = coord2[0] - coord1[0];
	var distY = coord2[1] - coord1[1];
	return Math.sqrt(distX * distX + distY * distY);
	}