Complex n-dimensional (number) space

Complex space, rather than a "space of position" that most naturally represents rotation, vibration, waves, and quantum states, is a "space of vibrational states."

Complex number form
name	formula	coefficient
Orthogonal form	z = a + ib	Real part a=ℜ(z), imaginary part b=ℑ(z)
polar form	z = r(cosθ + isinθ)	Absolute value r = |z|, argument θ = arg⁡(z)
Exponential function format	z=reiθ
Phasor format	z=r∠θ

A tool to simplify complex phenomena into a "simple form".

It looks like it's infinite, though.

• The curved surface is closed.

• Light is circulating.

• There are no straight lines.

• No center

  
  

This kind of structure creates the illusion in the human brain that "there is no exit."

It may seem like a labyrinth full of holes, but in reality it's a "network of infinite coordinates."

数学的な美しさの空間