This document discusses torus equations from May 12th to 22nd 2023. It presents the simplest torus equation the author found as a general form involving x, y, z coordinates and constants a and r. It plots this torus equation to demonstrate that it works by relating the x and z differentials to r and trigonometric functions of the variable theta.

1. Torus equations. T05-T15.
2023/05/12 - 2023/05/22.
Sharon Liu.
Let’s draw the diagrams.
The simplest torus equation, that I have found.
This is the general form, of the equation.
𝑥2
+ 𝑧2
= (𝑎 ± √𝑟2 − 𝑦2)
2
.
This tells you, what r and a are.
We plot this torus equation, to prove that it works.
𝑥2
+ 𝑧2
= 22
.
a
r

3. 𝑠𝑖𝑛𝜃 =
𝑑𝑥
𝑟
.
𝑐𝑜𝑠𝜃 =
𝑑𝑧
𝑟
.