21. Is it actually Gaussian curvature 2 ? 23px13 : 47, 15 May 2006 ( UTC) 22. The boundary case of equality is attained precisely when the metric is of constant Gaussian curvature . 23. Take a hyperbolic plane whose Gaussian curvature is-\ frac1 { k ^ 2 }. 24. There exist various pseudospheres in Euclidean space that have a finite area of constant negative Gaussian curvature . 25. For hyperbolic points, where the Gaussian curvature is negative, the intersection will form a hyperbola. 26. The less Gaussian curvature of the surface is the higher the accuracy of the plane mapping is. 27. The pleated board is roughly isometric to a flat plane, which has a Gaussian curvature of 0. 28. In the mid nineteenth century, the Gauss Bonnet theorem linked the Euler characteristic to the Gaussian curvature . 29. Saddle surfaces have negative Gaussian curvature which distinguish them from convex / elliptical surfaces which have positive Gaussian curvature. 30. Saddle surfaces have negative Gaussian curvature which distinguish them from convex / elliptical surfaces which have positive Gaussian curvature .
