Our monthly picture that you could use with your pupils, or your department, or just by yourself, to make you think about something in a different way
This lovely tiling picture was snapped in a shop doorway – aren’t the colours great?
You could have this picture displayed as pupils enter the classroom and ask them, as they settle down, to write down some things they notice about the picture, and some questions they’d like to think further about. In this way, every pupil will make a contribution. Questions to consider include:
- What polygons can you see?
- Are the "squares" and octagons regular polygons? Justify your answer.
- Are the blue squares and the white squares congruent? Explain your answer.
- Would it be possible to create a similar picture with only regular polygons?
- If you think you can, draw your design(s). How many different designs can you draw?
- Imagine halving the edge length of the blue squares. What stays the same? What would be different?
- Can you prove that three hexagons fit around a point leaving no gap? What sets of three regular polygons (which don’t all have to have the same number of sides) fit together around a point leaving no gaps?
If other questions prove fruitful, do let us know them.
If you have a thought-inducing picture, please send a copy (ideally, about 1-2Mb) to us at firstname.lastname@example.org, with a note of where and when it was taken, and any comments on it you may have.
Page header by llreadll (adapted), some rights reserved