Lute of Pythagoras

The lute of Pythagoras is a self-similar geometric figure made from a sequence of pentagrams.

The centers of the pentagrams lie on a line and (except for the first and largest of them) each shares two vertices with the next larger one in the sequence.

Adding a segment between the endpoints of these two new edges cuts off a smaller golden triangle, within which the construction can be repeated.

[1][2][3][4][5] The lute is named after the ancient Greek mathematician Pythagoras, but its origins are unclear.

[3] An early reference to it is in a 1990 book on the golden ratio by Boles and Newman.