Directed Morphic Tesselations
Four small browser demos: attention that reshapes a tiling, a line that has to stay whole across stacked slices, a lattice that fits itself to a photo, and a vortex that can read that photo or draw a form of its own.
1. Attention morph
Move the pointer across the tiling. Nearby hexes lean along that motion, then ease back.
Hover directs the morph. Edges stay locked. This is a 2D attention demo, not the hairpin depth gate.
2. Hairpin across slices
Drag the stack. The line passes through every sheet and turns once underneath.
Drag to morph the sheets. The line threads every sheet and turns once at the bottom. Carried keeps it inside its tiles, pinned shows the check can fail. This is a toy line-consistency check across slices, not a trained model and not evidence of depth understanding.
3. Fit to a real image
A photo is blurred into slices, and a hex lattice fits each slice without opening an edge.
A photo you choose is processed in this browser and is not uploaded.
Click the photo to thread a line. Slices are blur levels of one photo, standing in for depth. The lattice fits each slice without opening any edges. The check tracks the clicked feature independently and asks whether it stays inside its carried tile. A toy check, not a trained model and not evidence of depth understanding.
Blur hairpins follow critical points as the blur increases (Koenderink 1984; Kuijper and Florack 1999). Those U-turns run across blur level, not depth. They are a self-consistency check of the lattice and the line on a real image, not a depth claim.
4. Attention vortex
The pointer is a signed center. Swirl rotates the lattice around it and fades with distance. Read checks that warp on a photo. Realize shades a blank lattice from the same warp, so the vortex draws a form.
Read puts the vortex on blur levels of one photo and asks whether two tracked features stay inside their tiles. Realize uses no photo: tile area and rotation become tone, and the same closed-edge line is checked on that drawing. Human-like prefers a focused center that is strongest on the sheet you are pointing at and stays put while you hold still. Best for CV prefers the measured line, low distortion, no flips, and low cost. This is a toy. It does not compete with an image generator.