Math Forum :: View topic – example about Gaussian curvature

It is well known that by Gauss’ theorema egregium, two isometric surfaces have the same Gaussian curvature at correspoding points. However, the converse is not always true. Could anyone give me an example of this, i.e. two surfaces, their Gaussian curvature are same at corresponding points, but are not isometric?_________________Few, but ripe.

—- Carl Friedrich Gauss