Curvature

There are 4 NRICH Mathematical resources connected to Curvature
Giant Holly Leaf
problem

Giant holly leaf

Age
14 to 16
Challenge level
filled star filled star filled star
Find the perimeter and area of a holly leaf that will not lie flat (it has negative curvature with 'circles' having circumference greater than 2πr).
Geometry and Gravity 1
article

Geometry and gravity 1

This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.
Geometry and Gravity 2
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Geometry and gravity 2

This is the second of two articles and discusses problems relating to the curvature of space, shortest distances on surfaces, triangulations of surfaces and representation by graphs.
Curvature of Surfaces
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Curvature of surfaces

How do we measure curvature? Find out about curvature on soccer and rugby balls and on surfaces of negative curvature like banana skins.