APORIA // 001
Beyond Euclid: the artwork for artifact 004

Artifact 004 · The Human Condition // 001

Beyond Euclid

Are the limits of perception the limits of reality?

GeometryTopologyInfinity
Composition
Classical architecture folding through impossible space.
Animation
A colonnade folds over itself and continues.
Character
Vertigo, held calmly.

The idea

A colonnade recedes in perfect perspective, then folds back over itself like a page. The architecture is classical; the space it occupies is not.

For two thousand years Euclid’s geometry was assumed to describe space itself. In the nineteenth century, mathematicians showed other geometries were equally consistent, and Einstein showed physical space is one of them.

Sources & claims

  • History

    Lobachevsky and Bolyai published consistent non-Euclidean geometries in the 1830s.

  • Science

    General relativity (1915) describes gravity as the curvature of spacetime.

Every statement is labelled: History is documented, Science is current understanding, Interpretation is the artwork's reading, Speculation is imaginative.

Beyond Euclid tee in Shadow, back print
Beyond Euclid tee in Cement, back print
Beyond Euclid tee in White, back print
Beyond Euclid tee in Mocha, back print
Beyond Euclid tee in Oatmeal, back print

The physical artifact

Printed large on the back. Marked small on the chest.

Heavyweight 7.5 oz garment-dyed cotton in a slightly oversized fit. The museum placard under the artwork carries a permanent QR code that opens this artifact's exhibit.