q-rationals are realized as circles in the plane with Springborn operations defined geometrically as homothety centers, producing a q-deformed midpoint formula and a new q-version of Markov numbers.
Leclere.q-analogues des nombres r´ eels et des matrices unimodulaires : aspects alg´ ebriques, combinatoires et analytiques
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Plane geometry of $q$-rationals and Springborn Operations
q-rationals are realized as circles in the plane with Springborn operations defined geometrically as homothety centers, producing a q-deformed midpoint formula and a new q-version of Markov numbers.