Symmetry

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Emmy Noether

Find out about Emmy Noether, whose ideas linked physics and algebra, and whom Einstein described as a 'creative mathematical genius'.
problem
Shape draw

Age

7 to 11

Challenge level

Use the information on these cards to draw the shape that is being described.
problem
ReflectoR ! RotcelfeR

Age

7 to 11

Challenge level

Can you place the blocks so that you see the reflection in the picture?
problem
Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.
problem
Flower power

Age

11 to 16

Challenge level

Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
problem
National flags

Age

7 to 11

Challenge level

This problem explores the shapes and symmetries in some national flags.
problem
Poly plug pattern

Age

5 to 7

Challenge level

Create a pattern on the small grid. How could you extend your pattern on the larger grid?
problem
Attractive tablecloths

Age

14 to 16

Challenge level

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
problem
More dicey decisions

Age

16 to 18

Challenge level

The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
problem
Dicey decisions

Age

16 to 18

Challenge level

Can you devise a fair scoring system when dice land edge-up or corner-up?