[MUSIC]. In this final lecture on effective visual encoding, we're going to start with two quick exercises on effective presentation of data. And then we're going to discuss five key techniques for increasing the amount of information represented by spatial position. So, we've already talked about why effective visual encoding is important. Here is an example that I'd like you to consider. So, look at these two representations of quantitative data. Here we have the top level one where color is used to represent it. And at the bottom, a line graph. Why would the line graph be better to use than the color? By now you should know. It's faster to interpret. As you take the time to look at it you can see that. There are more distinctions. You can clearly see the quantitative information much more easily with a line graph than with the color, and there are fewer errors of interpretation. Pretty simple. Is this an effective visual representation, yes or no? If no, what's wrong with it? This visual representation is not expressive because it implies an incorrect ordinal relationship among the countries. Alright, moving on to some new material. We already know from research data in human perception, that spatial position is the most accurate representation of quantitative data. So, how can we leverage this fact? In 1999 Card, Mackinlay and Schneiderman proposed five techniques to increase the amount of information encoded by spatial position. Composition, alignment, folding, recursion, and overloading. We're going to go through each of these slide by slide. Composition refers to an orthogonal placement of axes. You create a 2D metric space, and you can line the data up along the x and y axes in multiple different ways. Alignment, this refers to a, the repetition of an axis at different positions in space. So, here you see we have the same time axis repeated in two places, with two different graphs representing different amounts of information on the y-axis. Folding, continuation of an axis in an orthogonal dimension. Recursiion, or the repeated subdivision of space. And finally, overloading, where we reuse the same space for different data. [BLANK_AUDIO] Right, this concludes this set of lectures on visual encoding. The next set of lectures we'll move to visual perception.