"In mathematics, the complexification of a real vector space V is a vector space VC over the complex number field obtained by formally extending scalar multiplication to include multiplication by complex numbers. Any basis for V over the real numbers serves as a basis for VC over the complex numbers." from Wikipedia
This image is created as a result of a complex mathematical algorithm. To WATCH it actually happen, click here and at the bottom of the page, under "LARGE" choose launch applet. What does this remind you of?