Symmetry

There are 72 NRICH Mathematical resources connected to Symmetry

problem

Folium of Descartes

Age

16 to 18

Challenge level

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

problem

Cocked Hat

Age

16 to 18

Challenge level

Sketch the graphs for this implicitly defined family of functions.

problem

LOGOSquares

Age

16 to 18

Challenge level

Ten squares form regular rings either with adjacent or opposite vertices touching. Calculate the inner and outer radii of the rings that surround the squares.

problem

Mean Geometrically

Age

16 to 18

Challenge level

A and B are two points on a circle centre O. Tangents at A and B cut at C. CO cuts the circle at D. What is the relationship between areas of ADBO, ABO and ACBO?

problem

Cut Cube

Age

16 to 18

Challenge level

Find the shape and symmetries of the two pieces of this cut cube.

problem

Colouring Triangles

Age

5 to 7

Challenge level

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

page

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?