Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Mathematical Object

Knot (Mathematics)

Topology

In mathematics, a knot is an embedding of a circle into three-dimensional Euclidean space, considered as a closed loop with no loose ends. Two knots are usually regarded as equivalent if one can be continuously deformed into the other without cutting the loop, a relation called ambient isotopy. Unlike knots in rope or string, a mathematical knot disregards physical properties such as thickness and friction, isolating the pure question of how a loop can be tangled in three-dimensional space. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Geometric Object 1
Connections

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Knot (Mathematics) (Wikipedia)
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.