CATEGORY GUIDE / GEOMETRY

Geometry Chambers

Places where space bends, folds, projects, and keeps a trace of shape.

This route is a good first stop when you want to watch shape itself become active. The chambers here are not proof tools; they are browser fields for touching projection, repetition, distance, and visible distortion.

OPEN LABS FACILITY GUIDE

GEOMETRY

WHY THIS ROUTE

Observe

Places where space bends, folds, projects, and keeps a trace of shape. This route is a good first stop when you want to watch shape itself become active. The chambers here are not proof tools; they are browser fields for touching projection, repetition, distance, and visible distortion.

WHAT THIS IS NOT

Use them as observation models. These are visual geometry models, not formal topology, astronomy, or mathematical proof systems.

LOCAL

A browser-local route for choosing where to start. Each link leads to an existing LAB. No upload, account, or installation is required to begin observing.

LAB ROUTE

CHAMBERS IN THIS ROUTE

FRACTAL OBSERVATORY

Fractal Observatory

Observe: Recursive boundaries, islands, and fine detail that appear from repeated iteration.
First touch: Zoom first, then switch Mandelbrot and Julia fields to compare fixed and parameter-driven space.
Worth watching: The edge is the interesting part: small movements reveal new rooms inside the boundary.

DIMENSIONAL PROJECTION ROOM

Dimensional Projection Room

Observe: Higher-dimensional rotation becoming shadows, slices, and changing silhouettes.
First touch: Adjust projection axes and rotation until the object stops feeling flat.
Worth watching: Look for moments when a simple wireframe suddenly reads as a deeper object.

COMPLEX MAPPING CHAMBER

Complex Mapping Chamber

Observe: The complex plane bending under square, inverse, exponential, sine, and Mobius-style maps.
First touch: Switch maps and follow paired points to see how one plane becomes another.
Worth watching: Straight grids are useful because their bending makes the invisible rule visible.

STEREOGRAPHIC PROJECTION FIELD

Stereographic Projection Field

Observe: A sphere projected onto a plane, with points near infinity stretching outward.
First touch: Switch projection, rotation, sphere, grid, and circle views to compare the same surface in two forms.
Worth watching: Circles and grids are the easiest way to feel how the far edge expands.

HYPERBOLIC TESSELLATION CHAMBER

Hyperbolic Tessellation Chamber

Observe: Tiles compressed toward the rim of a disk, making space feel deeper near the edge.
First touch: Change kaleido, geodesic, and orbit modes, then increase warp to feel the rim pull outward.
Worth watching: The pattern matters less than the pressure of space near the boundary.

KNOT INVARIANT CHAMBER

Knot Invariant Chamber

Observe: A knot turning in projection while crossings, over-under order, and writhe stay readable.
First touch: Spin the knot, switch crossing or writhe lenses, and compare trefoil, cinquefoil, and unknot.
Worth watching: The useful moment is when the curve looks different but the knot still feels like itself.

GRAVITY LENS CHAMBER

Gravity Lens Chamber

Observe: Background stars, photon-ring cues, and disk particles visibly bending around a central mass.
First touch: Raise mass or lens strength, then compare stars, rays, disk, and distortion views.
Worth watching: It is not the black core alone; the lensing is easiest to read in the stars around it.