Making Curves from Straight Lines - Parabolic Pursuit Curves

Join 1 to 1 and 2 to 2... points pursue each other down one axis and along another to make a stunning optical illusion...

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The Instruction Guide

Scroll down this page for pdfs
  • Design with Parabolic curves,

  • Square Pursuit

  • Curves in Circles

  • Vanishing Point Art

  • Colour Wheel Trickery in Optical Illusions

  • Isometric Drawing

  • Isometric Minecraft

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Constructed by Toni Cuthill.

  • Follow the instructions below to draw a parabolic curve.

  • Colour alternate squares

  • Using the original points draw a background grid.

  • The 2D grid enhances the optical illusion.

  • Useful tip: the closer the points the more perfect the curve.


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isometric example.png




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A circle from straight lines:

  • With your ruler join 2 points across the template.

  • The one on the left began with a line joining 1 and 20.

  • Each end of your ruler moves one point at a time.

  • So, 2 joins 21, 3 joins 22, 4 joins 23 etc.

  • Work your way right around the circle.

  • The smaller circle in the centre will gradually appear.


The Heart:

  • As above, draw a line between 1 and 20

  • This time, move one end of the ruler one space, move the other end two.

  • So, j
  • 1 joins 20, 2 joins 22, 3 joins 24, 4 joins 26 and so on right around the circle.
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Emily Harrex

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Josie, hearing colour Kandinsky-style..

Kandinsky was a Russian artist who could hear colour, see music or

even taste words! This was because of an accidental cross-wiring in

his brain called "synaesthesia".

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(Click the full screen arrows to see the complete text).