Symmetry

There are 72 NRICH Mathematical resources connected to Symmetry
Emmy Noether
article

Emmy Noether

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

Shape Draw

Age
7 to 11
Challenge level
filled star empty star empty star
Use the information on these cards to draw the shape that is being described.
ReflectoR ! RotcelfeR
problem

ReflectoR ! RotcelfeR

Age
7 to 11
Challenge level
filled star filled star filled star
Can you place the blocks so that you see the reflection in the picture?
Polydron
problem

Polydron

Age
7 to 11
Challenge level
filled star empty star empty star
This activity investigates how you might make squares and pentominoes from Polydron.
Flower Power
problem

Flower Power

Age
11 to 16
Challenge level
filled star empty star empty star
Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
National Flags
problem

National Flags

Age
7 to 11
Challenge level
filled star empty star empty star
This problem explores the shapes and symmetries in some national flags.
Poly Plug Pattern
problem

Poly Plug Pattern

Age
5 to 7
Challenge level
filled star empty star empty star
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
Attractive Tablecloths
problem

Attractive Tablecloths

Age
14 to 16
Challenge level
filled star filled star empty star
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?
More Dicey Decisions
problem

More Dicey Decisions

Age
16 to 18
Challenge level
filled star empty star empty star
The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?
Dicey Decisions
problem

Dicey Decisions

Age
16 to 18
Challenge level
filled star empty star empty star
Can you devise a fair scoring system when dice land edge-up or corner-up?