One of the wonders of our world is that it can be described with mathematics. The connection is so strong that MIT physicist Max Tegmark believes the universe is not just described by mathematics, but that is mathematics in the sense that we are all parts of a giant mathematical object (1).
What this means is that many seemingly complex objects (on mind-blowing scales) can be reduced to simple equations. Why does a hurricane look like a galaxy? Why is the pattern of a nautilus shell repeated on a pineapple? The answer is mathematics.
In addition to their appearance, the objects depicted above have something in common: they all grow, and growth in nature is a geometric progression. Geometrically increasing spirals are considered logarithmicdue to the use of the base of the natural logarithm (my) in the equation that describes them. Although it is generally known as logarithmic spiralsTheir ubiquity in nature has earned them an additional title: wonderful spiral – “miraculous spiral”.
In this Fast Win Data Science project, we will use logarithmic spirals and Python Tkinter GUI module to simulate a spiral galaxy. In the process, we will generate attractive and unique digital art.
Modeling a spiral galaxy is a matter of modeling spiral arms. Each spiral arm can be approximate by a logarithmic spiral.
Because spirals radiate from a central point or poleyou can graph them more easily with polar coordinates. In this system, the (x,y) coordinates used in the more familiar Cartesian coordinate system are replaced by (r, Ɵ), where r is the distance from the center and Ɵ (theta) is the angle formed by r and the x axis. The pole coordinates are (0, 0).
