OBSERVATION ROUTE / GEOMETRY

Shape & Space

For days when you want space to bend, fold, stretch, and reveal hidden structure.

Start here when you want geometry to behave like a material: fractals, complex maps, sphere projections, hyperbolic disks, gravity-lens warps, modular domains, and Radon projections.

OPEN THIS ROUTE BACK TO HOME

GEOMETRY

WHY TAKE THIS ROUTE

START

For days when you want space to bend, fold, stretch, and reveal hidden structure. Start here when you want geometry to behave like a material: fractals, complex maps, sphere projections, hyperbolic disks, gravity-lens warps, modular domains, and Radon projections.

WHAT THIS ROUTE IS NOT

Use this as a visual route. These are visual geometry routes, not CAD tools or formal proof systems.

ROUTE LABS

CHAMBERS ON THIS ROUTE

FRACTAL / FRACTAL OBSERVATORY

Fractal Zoomer

What to watch: Begin with recursive coastlines and zoom into the edge where shape keeps returning.
Lab signal: Zoom Mandelbrot, shift Julia parameters, and watch recursive coastlines unfold.

COMPLEX / COMPLEX MAPPING CHAMBER

Complex Function Warper

What to watch: Switch functions and watch grids bend, flip, and wrap around the complex plane.
Lab signal: Switch complex functions and watch grids, circles, and points bend, flip, and wrap.

PROJECTION / STEREOGRAPHIC PROJECTION FIELD

Sphere-to-Plane Mapper

What to watch: Push a sphere onto a plane and notice how one pole stretches toward infinity.
Lab signal: Push points from a sphere onto a plane and watch the north pole stretch toward infinity.

HYPERBOLIC / HYPERBOLIC TESSELLATION CHAMBER

Infinite Tile Disk

What to watch: Use the disk as a window into tiles that shrink toward an endless rim.
Lab signal: Warp a Poincare disk and watch hyperbolic tiles shrink toward an infinite rim.

LENS / GRAVITY LENS CHAMBER

Gravity Lens Warper

What to watch: Bend a star field and read rings, arcs, and distortion as geometry in motion.
Lab signal: Bend starlight around a heavy center and watch rings, rays, and disks warp.

MODULAR / MODULAR FORMS FIELD

Modular Domain Explorer

What to watch: Fold repeated domains back into a fundamental region and compare what stays aligned.
Lab signal: Shift, invert, and fold the upper half-plane into a domain.

RADON / RADON TRANSFORM SCANNER

Projection Scanner

What to watch: Scan projections from many angles and reconstruct the hidden shape from shadows.
Lab signal: Scan projections, stack a sinogram, and rebuild a rough image.

ROUTES