It’s hip to be hexagonal

Earlier in the week, L was in the kitchen after tea time and announced to Katy and me

These squares share!
Cue slightly baffled parents.
Slightly exasperated daughter indicates that it was the square floor tiles.
OK. Still, how do they share?
They share sides!

Oh, that’s her way of describing the fact that they tessellate – understanding dawns. We persuade her to look in the back porch (between the kitchen and the back garden).

Do those shapes (the floor tiles) share?
Yes!
How many sides do they have?
1, 2, 3, 4, 5, 6!
Do you know what a shape with 6 sides is called?
No.
A hexagon.

Marvellous. Of course a criterion when choosing the house was that its downstairs floors could be used to teach geometry. The Escher parquet floor in the hall has to be seen to be believed (and then a lie down had afterwards).

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