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Making maths: snowflakes
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
Symmetry
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pageMaking maths: Indian window screen
Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?
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pageMaking maths: five-point snowflake
Follow these instructions to make a five-pointed snowflake from a square of paper. -
pageTopkapi palace
These images are taken from the Topkapi Palace in Istanbul, Turkey. Can you work out the basic unit that makes up each pattern? Can you continue the pattern? Can you see any similarities and differences in the designs? -
articleEmmy Noether
Find out about Emmy Noether, whose ideas linked physics and algebra, and whom Einstein described as a 'creative mathematical genius'.
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problemMaltese cross
Age16 to 18Challenge level
Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph. -
problemClassifying solids using angle deficiency
Age11 to 16Challenge level
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry -
problemHidden meaning
Age7 to 11Challenge level
What is the missing symbol? Can you decode this in a similar way? -
problemSymmetrical semaphore
Age7 to 11Challenge level
Someone at the top of a hill sends a message in semaphore to a friend in the valley. A person in the valley behind also sees the same message. What is it? -
problemOcta-flower
Age16 to 18Challenge level
Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?