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).
  • Curvature of Surfaces
    article

    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.
  • Geometry and Gravity 2
    article

    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.
  • 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.
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