cyclic order

Also known as circular order, cyclic ordering, circular ordering, total cyclic order, complete cyclic order, linear cyclic order, ℓ-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])