Home

Think of tags as like a book index where you find words and which pages they are on, the same principle applies here. Although it's taken a stage further so it might not be the word, but the subject, so for example if you're looking for things to do with fractal gradients for example. A tag may bring back posts with gradient files, as well as posts that discuss gradients, or tutorials about them.

cannabiscurve-1

Polar Shapes

Variations that generate specific shapes using polar coordinates. Unlike normal blurs, which ignore the input point, these variations are half blurs that take the angle of the input point (theta) and compute a random distance (rho) within the shape. This allows some flexibility in coloring. They can be substituted for normal blurs in many flames; if it doesn’t work, try adding some pre_blur to the transform to generate random angles (this is done for the examples here).

disc1

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.

rhodonea

Rosecurve

The rose or rhodonea curve is shaped like a flower with petals, obtained by plotting a sine curve in polar coordinates. Its shape is determined by the frequency of the sine wave, denoted k.

polar

Polar

Switch between polar or log-polar and rectangular coordinates.

cannabiscurve

Half Blurs

Variations that generate specific shapes using polar coordinates. Unlike normal blurs, which ignore the input point, half blurs take the angle of the input point (theta) and compute a random distance (rho) within the shape. This allows some flexibility in coloring. They can be substituted for normal blurs in many flames; if it doesn’t work, try adding some pre_blur to the transform to generate random angles.

polarizing tutorial

Polarizing Tutorial

Not a tutorial that divides opinion, one that explains about polarizing technique and background.

disc

disc

The disc variation is based on polar coordinates, where points are specified by a distance ρ and an angle θ. The basic idea is simple: it just switches ρ and θ (after scaling by π to make things work nicely). This converts wedges centered at the origin to half-rings and vice versa as shown below. The images on the left side are before and on the right side after disc is applied.

elliptic

Elliptic

The most commonly used coordinate systems are rectangular coordinates and polar coordinate. But these aren’t the only possibilities. One of the less common coordinate systems is elliptic coordinates. Although their mathematical application is specialized, they can be used in variations to make interesting flames.

unpolar

unpolar and foci

The unpolar variation is the opposite of polar2; see the polar description. Whereas polar2 treats the log-polar coordinates of a point as rectangular coordinates, unpolar treats the rectangular coordinates of a point and treats them as log-polar coordinates.