# Which Capital Letters Have Symmetry?

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The Symmetry of Capital Letters

On investigating all the letters of the English alphabet for symmetry you may find:

- letter symmetry often depends on the font you use
- some letters have no lines of symmetry

- some letters have one line of symmetry

- some letters have two lines of symmetry

- one letter has many lines of symmetry

- most letters do not have rotational symmetry

- a few have rotational symmetry of order two

- and O is in a category of its own.

 Letters Line Symmetry Number Rotational Symmetry Number No 0 Yes 2 No 0 Yes 2 Yes 2 Yes 2 Yes 1 No 0 No 0 Yes 2 Yes 1 No 0 Yes Infinite Yes Infinite

As far as X goes you will find you need to argue a lot about whether it has 2 lines of symmetry or 4.

The best way to stop the arguments is to do an investigation.

Type several Xs using different computer fonts, enlarged them on a photocopier (or by typing a number larger than 72 in the size field), then cut them out and fold them.

What do you think you will find?

Go on, test it. You know you want to :)