FILE Sao Paulo 2019 | GIF
Electronic Language International Festival
The hyperbolic plane was the first example of a space exhibiting non-Euclidean geometry, but it is impossible to visualize without skewing perspective in some way. This piece shows two copies of the hyperbolic plane, each containing 24 congruent rotating circles. The fact that the circles are congruent in the hyperbolic metric shows that this model skews perceived sizes.
Clayton Shonkwiler is a mathematician and artist. He is committed to using geometry to understand the world.