2D representations of 3D shapes

  • Stereoisomers
    problem

    Stereoisomers

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Put your visualisation skills to the test by seeing which of these molecules can be rotated onto each other.
  • Construct the solar system
    problem

    Construct the Solar System

    Age
    14 to 18
    Challenge level
    filled star empty star empty star
    Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
  • Placeholder: several colourful numbers
    problem

    Chopped Dice

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    Can you make a new type of fair die with 14 faces by shaving the corners off a cube?
  • Placeholder: several colourful numbers
    problem

    Bent Out of Shape

    Age
    14 to 18
    Challenge level
    filled star filled star empty star
    An introduction to bond angle geometry.
  • Take Ten
    problem

    Take Ten

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?
  • Cutting a Cube
    problem

    Cutting a Cube

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
  • Weird universes
    problem

    Weird Universes

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    Consider these weird universes and ways in which the stick man can shoot the robot in the back.
  • New House
    problem

    New House

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
  • 28 - upward and onward
    problem

    28 - Upward and Onward

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

    Can you find ways of joining cubes together so that 28 faces are visible?

  • Three Cubed
    problem

    Three Cubed

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

    Can you make a 3×3 cube with these shapes made from small cubes?