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HTML 

              
                <h1 class="title">Happy Sāo Joāo!</h1>
<section id="controls" class="control">
	<button id="grow" class="action action__grow">Start Growing!</button>
	<button id="newGrow" class="action action__newGrow">Replant</button>
</section
!

CSS 

              
                body{
  display: flex;
  align-items: center;
  width: 100%;
  height: 100%;
	flex-wrap: wrap;
	margin: 0;
}

svg{
  width: 500px;
	height: 500px;
	margin-top: -180px;
  margin-left: auto;
  margin-right: auto;
}

.title{
	font-family: "Helvetica Neue", san-serif;
	text-align: center;
	width: 100%;
	color: #FF6138;
}

.control{
	display: flex;
	justify-content: center;
	flex-direction: column;
	margin-top: 16px;
	flex-wrap: wrap;
	width: 100%;
	padding-left:30%;
	padding-right: 30%;
	box-sizing: border-box;
}

.action{
	border-radius: 3px;
	font-size: 16px;
	color: white;
	padding: 10px;
	cursor: pointer;
	border: none;
	margin-left: auto;
	margin-right: auto;
	margin-bottom: 16px;
	&__grow{
		background-color: #04BFBF;
		&:hover{
			background: #00abab;
			transition: .5s;
		}
	}

	&__newGrow{
		background: #046380;
		&--deactivated{
			pointer-events: none;
		}
		&:hover{
			background: #004154;
			transition: .5s;
		}
	}
}


.branch{
  stroke: green;
  stroke-width: 1.5px;
}

.leaf{
	fill: green;
}

.pot{
	fill: #f68d53;
	stroke : #bb6828;
}

.pot-line{
	stroke : #bb6828;
}

#leaf--master{
	transform-origin: 50% 50%;
}

.leaf__body{
	fill:#a9cf55;
}

.leaf__body,.leaf__stem--main,.leaf__stem--branch{
	stroke:#589040;stroke-miterlimit:10;
}

.leaf__body{
	stroke-width:0.5px;
}

.leaf__stem--main,.leaf__stem--branch{
	stroke-width:0.25px;
}

.leaf__stem--main, .leaf__stem--branch{
	fill:none;
}
!

JS 

              
                var width = 500;
var height = 500;
var forkProb = 0.5;
var branchScalar = 50;
var x0 = width/2;
var y0 = height-65;
var limbAnimationScalar = .25;
//Input is in degrees but value is converted to radians
var angleBranchDeviation = 60*Math.PI/180;
var resetFlag = false;

function degToAngle(deg){
	return deg*Math.PI/180;
}

function getLimbAngle(limb){
	var angle = Math.atan2(limb.attr('y2') - limb.attr('y1'), limb.attr('x2') - limb.attr('x1'));
	return angle;
}

function euclideanDist(x1, y1, x2, y2){
	return Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
}

function getLimbLength(limb){
	return euclideanDist(limb.attr('x1'), limb.attr('y1'), limb.attr('x2'), limb.attr('y2'));
}

function extendLimb(branch, callback){
	var angle = getLimbAngle(branch);
	var length = getLimbLength(branch);
	var x2 = parseFloat(branch.attr('x2'));
	var y2 = parseFloat(branch.attr('y2'));
	var lengthPrime = length + (Math.random()*branchScalar);
	var yPrimeLength = Math.sin(angle)*lengthPrime;
	var xPrimeLength = Math.cos(angle)*lengthPrime;
	branch
		.transition()
		.duration(length/limbAnimationScalar)
		.attr({
			x2 : parseFloat(branch.attr('x1')) + xPrimeLength,
			y2 : parseFloat(branch.attr('y1')) + yPrimeLength
		})
		.each('end', function(){
			callback(d3.select(this));	
		});
}

function growNewLimb(parentLimb, callback){
	var mult = Math.random() > .5 ? 1 : -1;
	var newAngle = getLimbAngle(parentLimb) + (Math.random()*angleBranchDeviation*mult);
	var newLength = Math.random()*branchScalar;
	var xPrime = parseFloat(parentLimb.attr('x2'));
	var yPrime = parseFloat(parentLimb.attr('y2'));
	var angleCos, angleSin;
	angleCos = Math.cos(newAngle);
	newAngle < 0 ? angleSin = Math.sin(newAngle) : angleSin = Math.sin(newAngle)

	var x2 = parseFloat(parentLimb.attr('x2')) + angleCos*newLength;
	var y2 = parseFloat(parentLimb.attr('y2')) + angleSin*newLength;
	
	var line = d3.select('svg').insert('line', '#leaves')
			.attr({
				x1 : xPrime,
				y1 : yPrime,
				x2 : xPrime+1,
				y2 : yPrime+1,
				class : 'branch'
			});
	line.transition()
		.duration(newLength/limbAnimationScalar)
		.attr({
		x2 : x2,
		y2 : y2
	})
		.each('end', function(){
			callback(d3.select(this));
		});
}

function treeLeaf(endingBranch){
	var branchAngle = getLimbAngle(endingBranch)*180/Math.PI;
	var leafAngleDeviation = 90;
	var leafScale = 0.5;
	var rotate = 'rotate('+(branchAngle+90+(Math.random() * leafAngleDeviation) - leafAngleDeviation/2)+' '+endingBranch.attr('x2')+' '+endingBranch.attr('y2')+')';
	d3.select('#leaves').insert('use', '.leaf-item')
		.attr({
			'xlink:href' : '#leaf--master',
			class : 'leaf-item',
			x : 0,
			y : 0,
			transform: 'translate('+(endingBranch.attr('x2'))+' '+(endingBranch.attr('y2'))+') scale(0) '+rotate
		})
		.transition()
		.duration(500)
		.attr({
			x : 0,
			y : 0,
			transform : rotate+' scale('+leafScale+') translate('+(endingBranch.attr('x2')-12)*2+' '+(endingBranch.attr('y2')-20)*2+')'
		});
		
}

function treeRecur(incomingBranch){
	var fork = function(incomingBranch){
    growNewLimb(incomingBranch, treeRecur);
		growNewLimb(incomingBranch, treeRecur);
  }
	
  var branch = function(incomingBranch){
    extendLimb(incomingBranch, treeRecur);
		growNewLimb(incomingBranch, treeRecur);
  }
	var termProb = (euclideanDist(x0, y0, parseFloat(incomingBranch.attr('x2')), parseFloat(incomingBranch.attr('y2'))) + 0)/euclideanDist(0, 0, width/2, height/2);
	var incomingAngle = getLimbAngle(incomingBranch);
	if (((incomingAngle < 0) || ((incomingAngle < (Math.PI*.25)) && (incomingAngle > (Math.PI*.75)))) &&  (Math.random() > termProb)){
	//if (Math.random() > termProb){
		if (Math.random() < forkProb){
			fork(incomingBranch);
		}else{
			branch(incomingBranch);
		}	
	}else{
		treeLeaf(incomingBranch);
	}
}

function svgSetup(){
	var tree = d3.select('body').insert('svg', '#controls')
		.attr('height', height)
		.attr('width', width);


	var root = tree.append('line')
		.attr('y1', y0)
		.attr('x1', x0)
		.attr('y2', function(){return y0 - Math.random()*branchScalar})
		.attr('x2', function(){return x0})
		.attr('class', 'branch');

	var pot = tree.append('g')
		.attr('transform', 'translate('+((width/2)-37.5)+' '+(height-68)+')');

	pot.append('polygon')
		.attr({
			points : '60.02 67.69 15.38 67.96 5.26 11.61 0.5 11.61 0.5 0.5 74.89 0.5 74.89 11.61 70.13 11.61 60.02 67.69',
			class : 'pot'
		});

	pot.append('line')
		.attr({
			x1 : 5.26,
			y1 : 11.61,
			x2 : 70.13,
			y2 : 11.61,
			class : 'pot-line'
		});

	var leaf = d3.select('svg').append('defs').append('g')
			.attr({
				id : 'leaf--master'
			});

		leaf.append('path')
			.attr({
			class : 'leaf__body',
			d : 'M32.68,41.29c5.5-3.42,5.13-11.21,5.13-13.95,0-9.12-7.18-25.28-9.5-26.3C26.44,0.22,14.68,12,15,28.31c0.15,7.53,1.73,11.47,7.24,14.22C25.58,44.18,29.27,43.41,32.68,41.29Z'
		});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--main',
				d : 'M27.1,43.66c-1.56-6.85-2.14-17.19-1.33-28A89.48,89.48,0,0,1,28,1.36'
			});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--branch',
				d : 'M26.06,13c4.1,0.22,5.43-5.44,5.52-6.92'
			});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--branch',
				d : 'M26,13a4.7,4.7,0,0,1-2.46-1.85c-1.27-1.69-1-4.58-.92-5.27'
			});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--branch',
				d : 'M25.39,24.33c5.06-.05,9.07-8.5,9.22-11.1'
			});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--branch',
				d : 'M25.39,24.33c-3.51-.22-7.15-6.11-7.27-10.84'
			});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--branch',
				d : 'M25.81,34.22C32.87,34,36.89,24.3,37,21.7'
			});

		leaf.append('path')
			.attr({
				class : 'leaf__stem--branch',
				d : 'M25.81,34.22A11.18,11.18,0,0,1,15.33,23.87'
			});

	d3.select('svg')
		.append('g')
		.attr({
			id : 'leaves',
			width : width,
			height : height
		});	
	return root;
}

document.querySelector('#grow').addEventListener('click', function(){
	resetFlag = false;
	this.innerHTML = 'Grow Some More!';
	treeRecur(root);
});

document.querySelector('#newGrow').addEventListener('click', function(){
	document.querySelector('body').removeChild(document.querySelector('svg'));
	document.querySelector('#grow').innerHTML = 'Start Growing!'
	root = svgSetup();
});


var root = svgSetup();
!
999px

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