Great view from Mount Wilson. I went with my girlfriend for her first backpacking trip. Otherwise a good fun trail challenging enough for a sense of accomplishment without breaking ankles. Isospectrality is obtained by modifying a generalization of Sunada's Theorem due to DeTurck and Gordon. Spectral and geometric bounds on 2-orbifold diffeomorphism type.
Jason Parkin recorded Long Trail:
Cooley Glen and Emily Proctor Trails
An argument converting spectral data to geometric bounds shows that the first result is a consequence of the second. This is a generalization to the orbifold category of a similar result for manifolds proven by Grove, Petersen, and Wu. Mohammed Rageeb Mohammed Usman. Thus we conclude the existence of nontrivial multiparameter isospectral deformations. We show that a Laplace isospectral family of two dimensional Riemannian orbifolds, sharing a lower bound on sectional curvature, contains orbifolds of only a finite number of orbifold category diffeomorphism types. Conditions were muddy and night time was cold.