Disc

# Disc

Variations that use polar coordinates and swap the ρ and θ values. This converts wedges centered at the origin to half-rings and vice versa.

## disc

Swap polar coordinates ρ and θ.

Type: 2D
Author: Ronald Hordijk
Date: Sep 2003

## disc2

Swap polar coordinates ρ and θ, but using Manhattan distance instead of Euclidean.

Type: 2D
Author: Antonio Intrieri (gygrazok)
Date: 9 Feb 2007

It actually doesn’t quite use the Manhattan distance. It uses x+y; the Manhattan distance is |x|+|y|.

## disc3

Swap polar coordinates ρ and θ, with parameters.

Type: 2D
Date: 28 Jul 2018

JWildfire forum post on disc3

## disc3d

Swap 2D polar coordinates ρ and θ and transforms z according to the distance from the origin.

Type: 3D
Author: Keeps Spencer (gossamer-light)
Date: 10 Dec 2007

## edisc

Swap elliptic coordinates μ and ν.

Type: 2D
Author: Joel and Michael Faber
Date: 21 Oct 2007

## fdisc

Swap polar coordinates ρ and θ, first taking the reciprocal of ρ; scales by 2𝜋 instead of 𝜋.

Type: 2D
Author: Michael Faber
Date: 14 Jul 2009

Gregg Helt (CozyG) added some parameters to fdisc when he ported it to JWildfire.

## idisc

Swap polar coordinates ρ and θ, first taking the reciprocal of ρ.

Type: 2D
Author: Michael Faber
Date: 17 Sep 2011

Taking the reciprocal is intended to prevent the overlap often seen with disc. See wdisc.

Apophysis plugin

## pre_disc

Swap polar coordinates ρ and θ.

Type: 2D
Author: Keeps Spencer (gossamer-light)
Date: 10 Dec 2007

A pre_ version of disc.

## pre_disc3d

Swap 2D polar coordinates ρ and θ and transforms z according to the distance from the origin.

Type: 3D
Author: Keeps Spencer (gossamer-light)
Date: 10 Dec 2007

A pre_ version of disc3d.

## wdisc

Swap polar coordinates ρ and θ, first taking the reciprocal of ρ, afterwards flipping the bottom half.

Type: 2D
Author: Michael Faber
Date: 17 Sep 2011

Taking the reciprocal is intended to prevent the overlap often seen with disc. See idisc.

Apophysis plugin

This information has all been created by Rick Sidwell as a guide to the more popular variations used in fractal flames, and very generously allowed me to reproduce it here. Not all of the variations are included with JWildfire, but a great many are, so it is worthwhile learning about them.