Positive curvature: summit of Great Gable

The summit of Great Gable was crowded for the act of remembrance on Sunday. It was good that so many people chose to attend. But it is a big summit and there was plenty of space. It is a dome-shaped summit. If you were given a long rope tied to the cairn and sent to walk a wide circle, the circumference would be less than 2 x pi x radius. The length of the rope would be the radius but because the summit drops away beneath you, the circle would be tighter than it would on flat ground. This is called a positively curved space. It is important in Einstein's General Theory of Relativity where mass warps space-time.