Festive Snowflakes

'Make some lovely snowflakes'

You might have noticed that snowflakes have six symmetrical arms. A popular held belief is that no two snowflakes look the same! In this wintery task your challenge is to make some realistic snowflake patterns of your own using dynamic geometry. You can add your snowflake to the gallery below. Try to be original!

Some Background

Snowflakes are beautiful geometric patterns that appear to display 6 fold reflective symmetry (6 lines of refection). This is because the crystalline structure of water has that symmetry. For an explanation watch   this video from James Grime.

As a teenager at the end of the 19th Century, Bentley Wilson became interested in snowflakes and one of the first people to take photographs of them. He claimed that no two snowflakes looked the same.


When making your snowflake here are some things to consider:

  • Snowflakes have six lines of symmetry.
  • The more complex the shape that you start with the more complex the finished result will be.
  • Could you make the colours in your snowflake change? [CLUE]
  • Could you make your snowflake dynamic by making it move or twinkle? [CLUE]

Help with Geogebra

Some clues are given in the video below for using Geogebra to make your snowflakes. Other dynamic software may be used of course!

Share your Snowflake

Add your own images to the gallery below!

Here’s how you can add your snowflake to the gallery. Be careful not to delete anyone else's work!

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