I am currently a PhD student working on the visual communication of mathematics.
My long term focus is the effect of (visual) hyperspatial notation on mathematics itself.
In the short term I have created (two related) visualisations for rational numbers down to a level of 37ths (otherwise known as the Farey sequence of order 37).

Any visual work in mathematics involves perception in space and time and thus it has much to gain by looking to 2000 years of visual tradition. I have included some comments to this effect (in English and French):

• Animation and mathematics: a forme filmique? / Animation et mathématiques: une forme filmique?
• Defining the undefined space between three disciplines / Définir le lieu indéfini entre ces trois disciplines
• Visual communication or visualisation? / Communication visuelle ou visualisation?