Terrell Cubes

Cubes photographed as they rush past at near light speed. They are shorter in motion, yet the camera shows them turned, not squashed: the Terrell–Penrose effect, computed exactly.

Terrell Cubes: Cubes photographed as they rush past at near light speed. They are shorter in motion, yet the camera shows them turned, not squashed: the Terrell–Penrose effect, computed exactly.Terrell Cubes: Cubes photographed as they rush past at near light speed. They are shorter in motion, yet the camera shows them turned, not squashed: the Terrell–Penrose effect, computed exactly.

About this pattern

James Terrell & Roger Penrose, 1959

Terrell Cubes, special relativity, drawn by GART: Cubes photographed as they rush past at near light speed. They are shorter in motion, yet the camera shows them turned, not squashed: the Terrell–Penrose effect, computed exactly.
Terrell Cubes · CC BY 4.0

Terrell and Penrose showed independently in 1959 that the Lorentz contraction can never be seen. Every point here is drawn where it was when its light set out to reach the camera at one instant, and the faces that show are chosen by the light's direction in the cube's own frame, so the cubes are exactly what a camera would record.

Rows move faster down the page; each loop moves every row on by whole cube spacings, so the cycle closes on itself.

Boost
The same cube at rest and passing at 0.85c, as a camera sees it: turned, not squashed.

Behind the mathematics

James Terrell

The invisibility of the Lorentz contraction, 1959

Physicist who independently explained why a rapidly moving object appears rotated rather than simply contracted in a photograph.