Regular polygons and circles

  • Circumnavigation
    problem

    Circumnavigation

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    The sides of a triangle are 25, 39 and 40 units of length. Find the diameter of the circumscribed circle.
  • Dodecawhat
    problem

    Dodecawhat

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.

  • LOGO Challenge - Following on
    problem

    LOGO challenge - following on

    Age
    11 to 18
    Challenge level
    filled star filled star filled star

    Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?

  • LOGO Challenge 9 - Overlapping Polygons
    problem

    LOGO challenge 9 - overlapping polygons

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles

  • LOGO Challenge 6 - Triangles and Stars
    problem

    LOGO challenge 6 - triangles and stars

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Recreating the designs in this challenge requires you to break a problem down into manageable chunks and use the relationships between triangles and hexagons. An exercise in detail and elegance.

  • LOGO Challenge 10 - Circles
    problem

    LOGO challenge 10 - circles

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.

  • LOGO Challenge 1 - Star Square
    problem

    LOGO challenge 1 - star square

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.

  • Where are they?
    problem

    Where are they?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Use the isometric grid paper to find the different polygons.

  • Shapes on the Playground
    problem

    Shapes on the playground

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?