when I googled the Title I got only two hits that were on target. But both were highly specialized, sophisticated models of curved space.

Does anyone know of or have a simulation that demonstrates the basic concepts of curved spaces?

1. Gaussian curvature - calculated with real values at different points
2. norm-squared of tangent vector at different points, such as at the pole of a sphere and at the equator. This can be done with tiny values such as those used in finite difference calculations
3. a determination of the sphere's metric but using intrinsic coordinates, long/lat. Use the basic definition of the inner product and the metric censor g. A comparison to the values obtained in 2. above.
4. areas of geodesic triangles on a sphere as they vary from large to tiny. Basic equation for area of spherical triangle
5. parallel transport of a vector around a closed path
6. a zoom in of the surface to as small as the computer can get.
7. rotation of a plane curve into a three dimensional (x, y, z) surface
8. a tangent vector traveling around a great circle on a sphere, showing its changing components (rerpesent4d with variables or actual scalars) 8/ All the above for a torus, paraboloid and cone, in addition to a sphere

Gary