SYSTEM NOTE
Rotate the loop. Read what remains.
A visual knot observation model. Not a formal topology proof tool.
OBSERVATION CHAMBER / MVP
Knot Crossing Inspector
Rotate a closed loop and inspect crossings that keep the knot from coming apart.
knot
Prototype
KNOT PROJECTION FIELD
Rotate a closed loop and observe crossings, over-under relations, twist, and traces that resist untangling.
First observation
Use SPIN to rotate the loop. CROSS reveals over/under points. UNKNOT is the comparison loop.
KNOT PROJECTION
crossings 0 / writhe 0
OBS-000 / TREFOIL / 00:00
OBSERVATION POINTS
Crossings, twist, and the unknot comparison.
- SURFACE emphasizes depth and the front/back relation of the closed curve.
- CROSSING marks OVER and UNDER points so the projection becomes readable.
- WRITHE colors twist direction, while UNKNOT shows a loop that returns toward simplicity.
OBSERVATION GUIDE
Touchpoints for Observation
Observe a closed loop rotating through projection, crossing marks, over-under relation, and twist direction.
- Use SPIN, CROSS, SURFACE, CROSSING, and WRITHE, then compare TREFOIL, CINQUEFOIL, and UNKNOT.
- OVER and UNDER markers make projected crossings readable.
- UNKNOT provides a simple loop comparison against tangled traces.
This is a visual knot observation model, not a formal topology proof tool.
Runs inside the browser with no upload and no registration.
SYSTEM NOTE
A torus curve is projected to the screen. Crossings and writhe are visual estimates, not proof results.
OBSERVATION POLICY
This lab runs in your browser. No image, pointer trace, or input is uploaded by this prototype.
Route
This chamber belongs to Structures & Symmetries.
STRUCTURE Back to Structures & Symmetries Route.