  We give a formula for the geometric fixed-points spectrum of the real
topological cyclic homology of a bounded below ring spectrum, as an equaliser
of two maps between tensor products of modules over the norm. We then use this
formula to carry out computations in the fundamental examples of spherical
group-rings, perfect $\mathbb{F}_p$-algebras, and $2$-torsion free rings with
perfect modulo $2$ reduction. Our calculations agree with the normal L-theory
spectrum in the cases where the latter is known, as conjectured by Nikolaus.
