For nearly 150 years, geometers and other academics have been trying to imagine a mysterious fourth direction in space to account for the math of 4D geometry, but that abstract spatial axis has never been observed. Space remains three-dimensional.

However, representations of 4D polytopes can perfectly depict the motion of 3D objects through both space and time. A leading expert in the field has said they have not seen this view presented before.

The idea continues toward 5D geometry to represent what directly affects motion: force, comparing the 5D progression of a cube, a penteract, with events of cosmology and particle physics.

I render these myself — escape-time Mandelbrot, 1500 iterations, orbit-trap shading on the interior so the body has depth instead of flat black. The specks inside are orbit-trap holes, my favorite part. I masked the main cardioid and composited a photo of us into it, blurred edge so the fractal shows through, warm glow where the set meets the heart. Sunrise palette, custom ramp, 1800x2400. She saw the heart in the math before I made a single pixel.

Flair: Original Content.

relax and enjoy!

I plan to make all Archimedean solids