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CUSHY NUMBERS

TILTING AT WINDMILLS

Ask any number of people whether this is a pattern, or not. You may be surprised at their answers. It depends on whether they consider the colours to be important.

BEST OF BOTH WHIRLS

This is a Baravelle Spiral. The triangles appear to form curves as they spiral out from the centre.

PENROSE

A section of an aperiodic, or non-periodic, tiling. The special properties of the tiling are not obvious from this small piece.

WRECK TANGLED

Each rectangle has the same area and the total of their areas is the same as the area of the background.

Crochet

Crochet

SPACECRAFT

A representation of a Hilbert Open Peano Curve, which is a space-filling curve. The curve theoretically covers every point on the surface until no background can be seen.

SQUARE TO ETERNITY

Each piece begins with a small square. Triangles are added to create a new square. Each new square is double the area of the previous square.

HAVE IT ALL WAYS

All the permutations of four colours. Twelve are shown on one side. Turn the cushion one way to see twelve different arrangements; turn it another way to see the same twelve.

TRIVIAL PURSUIT

The design has this name because it represents four dogs chasing each other round a field.

ELY CATHEDRAL MAZE

Based on the only pavement maze in a British cathedral, designed by Sir Gilbert Scott in 1870. It is unusual because it does not have the symmetry of most mazes.

DOUBLE VISION

All the permutations of four colours when using two at a time.

Also shows that the fourth triangular number is 10.

All patterns are available individually and in Cushy Numbers

CUBISM

The front face of each ‘cube’ is a square. The top and side are parallelograms which are the same size but slope in opposite directions.