Tricocycloids and lax tricocycloids in a monoidal category

tricocycloid

A lax tricocycloid is the non-invertible version. The following is the definition in the Set, the category of functions.

lax-tricocycloid_page001

Symmetric tricocycloids

A symmetric tricocycloid has an extra endomorphism that behaves like a negation.

symmetric-tricocycloid

Algebras of a symmetric tricocycloid

algebra-of-a-tricocycloid_page001

References