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Computational Geometry and Computer Graphics


Lesson 4

Author: Egoshkin Danila Igorevich

Plan

  1. Coordinate Systems
  2. Polar coordinate system
  3. Sin and Cos
  4. Complex numbers
  5. Polar coordinate system in 3D

Cartesian Coordinate Systems

But how to draw this figure?

Lets think about circle

Lets draw circle

Lets draw circle

Polar coordinate system

Draw circle - Polar coordinate system

Sin - Cos

Draw circle - Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Power of Polar coordinate system

Polar coordinate system as Complex numbers

Polar coordinate system as Complex numbers

Polar coordinate system in 3D

Polar coordinate system in 3D

Polar coordinate system in 3D

Polar coordinate system in 3D

Polar coordinate system in 3D


Математик Генри Сегерман демонстрирует, что линейная трехмерная плоскость может быть проекцией искривленного четырехмерного пространства-времени. Солитоны. Модель Скирма

Polar coordinate system in 3D

https://x.com/Rainmaker1973/status/1404748014946770944
https://github.com/rossning92/Blackhole

Links:

Thanks for your attention :)