The lighter stripes cover exactly the same area as the darker stripes. On the other side the colours are rearranged in two blocks of equal area.
All of the shapes on this cushion are quadrilaterals.
A demonstration of where triangular numbers and square numbers coincide:
6 x 6 = 36
1+2+3+4+5+6+7+8 = 36
The pattern is generated from the 8 times table. The design on the reverse is generated by the 5 times table.
SQUARE IS IT?
How many squares are there here?
An Archimedean Spiral moves out from the centre by the same distance on each rotation.
The Fibonacci series (or sequence) of numbers, in two directions. The back of the cushion has the colours reversed.
A traditional Chinese puzzle.
The pieces of a tangram are usually cut apart and used to construct various patterns and figures.
A fault free shape has no lines cutting right across the shape.
Any design can be coloured using four colours so that no touching areas are the same colour.
21 different size squares making up a large square. This is thought to be the smallest number of different squares which can make a larger square.
Look ‘through’ this design and some of the squares appear to be further away than others. Because of the spacing some appear to be background and some foreground.
THE OTHER TWO SIDES
Proof of Pythagoras’ Theorem. The reverse of the cushion shows ‘the square on the hypotenuse’. This side shows ‘the squares on the other two sides’.
All patterns are available individually and in 12 Pillows of Wisdom
Some of the cushions are different on the reverse
The Other Two Sides was designed by Ben Ashforth
These photos show his version