When you open the Golden Mean Ratio Compass, the spacing between the yellow and the red arm and the (smaller) spacing between the red arm and the blue arm are in the golden ratio, which is often represented by the Greek letter phi or
Expressed algebraically, for quantities and with
The Golden Ratio has inspired thinkers of all disciplines...
Mathematicians since Euclid have studied the properties of the golden ratio, including its appearance in the dimensions of a regular pentagon and in a golden rectangle, which may be cut into a square and a smaller rectangle with the same aspect ratio.
The golden ratio appears in some patterns in nature, including the spiral arrangement of leaves and other parts of vegetation.
It has also appeared in architecture and in art.
You can analyse images and photographs using the compass.
There are a number of books written about the Golden Ratio, one of which is
'The Golden Ratio: The Story of PHI, the World's Most Astonishing Number' by Mario Livio
Painted in Bauhaus colours, our Golden Mean Ratio Compass is made of wood, and comes from Japan.