It's a place full of wonder, strangeness and bizarre beauty: the room - or should I say space - of a mathematician that's merely a magician.
It's a common optical illusion, a kind of tricky paradox.
"If our brains are simple enough for us to understand them, then we'd be so simple that we couldn't." a Quote by Ian Steward (mathematician)
The floor itself is an impossible figure - a typical symbol for paradoxes... The spirals on the checkerboard-floor are Fibonacci spirals.
This drawing is mostly about the beauty of Phi Φ, Psi Ψ and the Fibonacci-sequence.
The fibonacci sequence works this way:
1+ 1 = 2
1+ 2 = 3
2+ 3 = 5
3+ 5 = 8
5+ 8 = 13
8+ 13 = 21
13+ 21 = 34
21+ 34 = 55
34+ 55 = 89
...and so on...
The sequence then is: 1;1;2;3;5;8;13;21;34;55;89;...
Let's play with these numbers!
If we continue this more and more, it will come closer and closer to a mathematical constant:
By the way:
It can be calculated as followed:
Φ = (1+ √5) / 2
Psi is the golden angle. Its value is about 137.5°.
So... Let's connect Φ with π (Pi)
Ψ = 2π -2π+Φ = ~ 2.40 And now we show this as an angle:
2.40/2π = x/ 360°
(2π is the circumference of a circle (consider without r or r=1 ); 2Π is equal to a 360° circle: So 2.40 of 2π (It’s about 6.2831) is equal to x of 137.5°)
And here the x equals about 137.5°
2.40/ 2π = x/360° : And now we solve the equation for x → *360
x = 2.40/ 2π * 360 = 137.5
The golden angle can be found in nature in plants for instance. Did you ever wonder about the awesome arrangement of the blossoms’ leaves? Check out this picture:
Math can be really beautiful – Psi, Phi and Fibonacci show you one of the most awesome aspects of math!
This picture is dedicated to the beauty of mathematics, as well as the majesty of the Fibonacci-sequence, the golden ratio and the golden angle, which appear to be a sort of important algorithm in life.
Then there is the ghost again. It is a demonstration of a special figure-background relation.
The objects you can see below are a rolled-up one, a torus, a klein bottle and a hyperbolic paraboloid (or a saddle form).
© Dywiann Xyara 2018