# cyclic order

> ternary relation that is cyclic (if [𝑥,𝑦,𝑧] then [𝑧,𝑥,𝑦]), asymmetric (if [𝑥,𝑦,𝑧] then not [𝑧,𝑦,𝑥]), transitive (if [𝑤,𝑥,𝑦] and [𝑤,𝑦,𝑧] then [𝑤,𝑥,𝑧]) and connected (for distinct 𝑥,𝑦,𝑧, either [𝑥,𝑦,𝑧] or [𝑧,𝑥,𝑦])

**Wikidata**: [Q5198223](https://www.wikidata.org/wiki/Q5198223)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Cyclic_order)  
**Source**: https://4ort.xyz/entity/cyclic-order