Tessellations

  • Shaping Up with Tessellations
    article

    Shaping up with tessellations

    This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your children to take over.
  • Maurits Cornelius Escher
    article

    Maurits Cornelius Escher

    Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be intertwined.

  • Outside the Box
    article

    Outside the box

    This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.
  • Lafayette
    page

    Lafayette

    What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?
  • Making Maths: Kites and Darts
    page

    Making maths: kites and darts

    Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
  • LOGO Challenge 5 - Patch
    problem

    LOGO challenge 5 - patch

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

    Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

  • Schlafli Tessellations
    problem

    Schlafli tessellations

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

    are somewhat mundane they do pose a demanding challenge in terms of 'elegant' LOGO procedures. This problem considers the eight semi-regular tessellations which pose a demanding challenge in terms of 'elegant' LOGO procedures.

  • LOGO Challenge - Triangles-Squares-Stars
    problem

    LOGO challenge - triangles-squares-stars

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

    Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

  • LOGO Challenge - Tilings
    problem

    LOGO challenge - tilings

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

    Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all of these.