Graphics by Paul Bourke

February 2004

See also Peter de Jong attractors

Contributions from Thomas Burt and Paul Richards.

Definition

x_{n+1} = sin(a y_{n}) + c cos(a x_{n})

y_{n+1} = sin(b x_{n}) + d cos(b y_{n})

where a, b, c, d are variabies that define each attractor.

a = -1.4, b = 1.6, c = 1.0, d = 0.7

a = 1.1, b = -1.0, c = 1.0, d = 1.5

a = 1.6, b = -0.6, c = -1.2, d = 1.6

a = 1.7, b = 1.7, c = 0.6, d = 1.2

a = 1.5, b = -1.8, c = 1.6, d = 0.9

a = -1.7, b = 1.3, c = -0.1, d = -1.2

a = -1.7, b = 1.8, c = -1.9, d = -0.4

a = -1.8, b = -2.0, c = -0.5, d = -0.9

Lovely renderings by Thomas Burt.

Contribution by Paul Richards including source code.