{"url":"https://api.github.com/gists/5663666","forks_url":"https://api.github.com/gists/5663666/forks","commits_url":"https://api.github.com/gists/5663666/commits","id":"5663666","node_id":"MDQ6R2lzdDU2NjM2NjY=","git_pull_url":"https://gist.github.com/5663666.git","git_push_url":"https://gist.github.com/5663666.git","html_url":"https://gist.github.com/mbostock/5663666","files":{".block":{"filename":".block","type":"text/plain","language":null,"raw_url":"https://gist.githubusercontent.com/mbostock/5663666/raw/d2c4da9c5ac65fff9cec1bddc1f78ed17b528616/.block","size":29,"truncated":false,"content":"license: gpl-3.0\nheight: 800\n","encoding":"utf-8"},"README.md":{"filename":"README.md","type":"text/markdown","language":"Markdown","raw_url":"https://gist.githubusercontent.com/mbostock/5663666/raw/0a321d3df4ada5588f602b4be40ebfdceab74cbb/README.md","size":1607,"truncated":false,"content":"[d3.geoPath](https://github.com/d3/d3-geo/blob/master/README.md#paths) is typically used to render spherical geometry by passing it through a [geographic projection](https://github.com/d3/d3-geo/blob/master/README.md#projections), projecting from the sphere to the plane while applying [adaptive sampling](/mbostock/3795544). But what if your geometry is already planar? That is, what if you just want to take [projected geometry](/mbostock/5557726), but still translate or scale it to fit the viewport?\n\nYou can implement a custom [geometry transform](https://github.com/d3/d3-geo/blob/master/README.md#transforms) to gain complete control over the projection process. Transforms implement the [*projection*.stream](https://github.com/d3/d3-geo/blob/master/README.md#projection_stream) method, and can be passed to [*path*.projection](https://github.com/d3/d3-geo/blob/master/README.md#path_projection) in lieu of a geographic projection. The easiest way to implement a transform is [d3.geoTransform](https://github.com/d3/d3-geo/blob/master/README.md#geoTransform). For example, here’s a [2D affine transform](http://en.wikipedia.org/wiki/Transformation_matrix#Affine_transformations) implementation:\n\n```js\nfunction matrix(a, b, c, d, tx, ty) {\n  return d3.geoTransform({\n    point: function(x, y) {\n      this.stream.point(a * x + b * y + tx, c * x + d * y + ty);\n    }\n  });\n}\n```\n\nFor example, to invert the *y*-axis, you can say:\n\n```js\nvar path = d3.geoPath()\n    .projection(matrix(1, 0, 0, -1, 0, height));\n```\n\nA custom geometry transform can even use [quantitative 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html>\n<meta charset=\"utf-8\">\n<style>\n\n.land {\n  fill: #ddd;\n}\n\n.boundary {\n  fill: none;\n  stroke: #999;\n}\n\n</style>\n<svg width=\"960\" height=\"800\"></svg>\n<script src=\"https://d3js.org/d3.v4.min.js\"></script>\n<script src=\"https://d3js.org/topojson.v1.min.js\"></script>\n<script>\n\nvar svg = d3.select(\"svg\"),\n    width = +svg.attr(\"width\"),\n    height = +svg.attr(\"height\");\n\nvar path = d3.geoPath()\n    .projection(matrix(1, 0, 0, -1, 0, height));\n\nd3.json(\"ca.json\", function(error, ca) {\n  if (error) throw error;\n\n  svg.append(\"path\")\n      .datum(topojson.feature(ca, ca.objects.counties))\n      .attr(\"class\", \"land\")\n      .attr(\"d\", path);\n\n  svg.append(\"path\")\n      .datum(topojson.mesh(ca, ca.objects.counties, function(a, b) { return a !== b; }))\n      .attr(\"class\", \"boundary\")\n      .attr(\"d\", path);\n});\n\n// https://en.wikipedia.org/wiki/Transformation_matrix#Affine_transformations\nfunction matrix(a, b, c, d, 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