# Tag Archives: visualisation

## Visualising the Real Orthogonal Group

In the post Can You See in Four Dimensions?, we saw some ways of visualising functions plotted in four-dimensional 'space' in various ways. Of course, we used colour and time for two dimensions because it is a bit difficult to plot in four actual spatial dimensions! Here is another example: the orthogonal group $\mathrm{O}_2(\mathbb{R})$ […]

## Can You See in Four Dimensions?

Have you ever tried to visualise the graph of a complex function $f:\mathbb{C}\to\mathbb{C}$? The problem with complex functions is that usually we graph a complex number as an ordered pair $(x,y)$ on a Euclidean plane, which corresponds to $z = x + iy$. Unfortunately, this means that if we want to graph […]