Small Experiments
10D HyperCube
A ten-dimensional hypercube, explored through projection, motion, and visual encoding.
How much of a structure can become perceptible when most of its directions cannot be shown directly? 10D HyperCube takes one exact object—the ten-dimensional hypercube—and gives it several ways to be read.
The construction begins with an ordinary cube. Reveal another axis and a second copy appears, joined to the first. Repeat that operation and the familiar object becomes a tesseract, then a progressively denser structure. The full hypercube contains 1,024 vertices and 5,120 edges. Its connections remain fixed throughout the experiment.
One object, two readings
Rotation and projection bring the geometry into the space of the screen. At the same time, the original coordinate values control properties such as hue, brightness, line width, opacity, and the shape of a node. These visual properties remain tied to the object's coordinates as its projected position changes.
The two readings make different aspects available to attention. Motion exposes relationships that a still projection can conceal; colour or rhythm can help follow a group of vertices through a difficult turn. The mappings can be reassigned to explore which combinations remain readable.
Reveal one axis at a time
Start with the cube, add dimensions gradually, and pause when a new relationship becomes difficult to follow. Orbit the view or change an encoding before continuing. This is a projection of a specific mathematical object, with additional coordinates expressed through visual properties. The experiment is in how those representations can work together to support intuition.