# Some more

#### Kharakov

##### Quantum Hot Dog
"normal":

$$r=\sqrt{x^2+y^2+z^2}$$
$$\phi=\arctan(y/x)=\arg (x+yi)$$
$$\theta=\arctan(\sqrt{x^2+y^2}/z)=\arccos(z/r)$$

pine tree (I've thought the math makes more sense for a long time, and it does make smoother fractals when combined with the other formula mods):

$$r=\sqrt{x^2+y^2+z^2}$$
$$\phi=\arctan(z/y)=\arg (y+zi)$$
$$\theta=\arctan(\sqrt{y^2+z^2}/x)=\arccos(x/r)$$

The main difference is the "normal" formula rotates [x vs. y] and [(x and y) vs. z] and the pine tree version rotates [(x vs. (y and z)] and [y vs. z].