Art and Design

Introduction

Arithmetic spirals

Task

In the classroom, you will need paper, adhesive putty such as Blu Tack, some string and two pencils. If you can use a beach or sandpit you could do the exercise with two sticks and some string.

  • You are going to use a pencil as a column to wind string around.
  • Tack your sheet of paper to a table or board.
  • Tie a piece of string to the blunt end of the first pencil with some tack to stop it slipping.
  • Stand this pencil in the middle of your paper as a column, point upwards. Tack it in place at the bottom and ask someone to hold the point and keep it vertical.
  • Tie the other end of the string to the point of the second pencil near the edge of your paper.
  • Keeping the string taut, move the pencil around the column so that it begins to draw the spiral.
  • Every time the string winds around the column your line will get closer to the centre. When you get to the middle you will have a complete spiral.
  • You could try again with a thicker column (for example a marker pen or a piece of dowel) to see how the spiral changes.