2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93850Cellulations of the projective plane RP^2 define single qubit topological quantum error correcting codes since there is a unique essential cycle in H_1(RP^2;Z_2). We construct three of the smallest such codes, show they are inequivalent, and identify one of them as Shor's original 9 qubit repetition code. We observe that Shor's code can be constructed in a planar domain and generalize to planar constructions of higher genus codes for multiple qubits.7 pages, plain TeX, 5 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages)Quantum PhysicsProjective plane and planar quantum codestext