Just like a butterfly's wings, my love for math never tires. There are so many new problems you can do just like the scales on the wings. This changed me greatly.

Inoticed that the picture resembled butterflies and was a catalyst to my mathmatical thoughts going through my brain. The wings reminded me of linear pairs and changed my view of them drasticly.

Fractals-Julia Sets

Julia sets are in the complex plane, where the horizontal axis represents real numbers, and the vertical axis represents imaginary numbers. Each Julia set is determined by its constant value, c, which is a complex number. A common formula used is Z=Z^2 +C.

Fractals

The geometry of artificial things, objects, such as surfaces and other regular forms can be portrayed and depicted very accurately with mathematical equations. The objects we found in nature such as clouds, mountains, bark or lightnings are on the other hand usually irregular or fractured in their forms. Anyway, also some sort of normality, regularity and mathematical principles are charasterictical to them.