MBF Hl

 

 

MBF BoF 
MBF Ch 
MBF CR 
MBF Hl 
MBF Ik 
MBF Mag1 
MBF Mcb 
MBF Mlog 
MBF Mlm 
MBF Nt3 
MBF Pk 
MBF Pkcb 
MBF Pksq 

 

 

Mind-Boggling Fractal Gallery - Halley 4

The fractals below were created with Paul W. Carlson's Mind-Boggling Fractals (MBF).

He calls this function Halley - 4th order (a and b are functions of C):

Z^4 - a*Z^4 - b = 0

See some really stunning images here. And Julia sets are here and here.


Base image:

Halley 4

Variations/Zooms

Variations/Zooms

H4_000MLSt

Mandelbrot Lset

H4_001MADF

rendering method: ADF

H4_001z01MADF

ADF zoomed in

Rendering methods:

ADF => Angle Double Function

AF1 => Angle Function 1

AF2 => Angle Function 2

H4_003MAF1

rendering method: AF1

 

H4_003z04MAF1

AF1 zoomed in

H4_003z05MAF1

AF1 zoomed in

 

H4_004MAF2

rendering method: AF2

H4_004z02MAF2

AF2 zoomed in

 

H4_004z01MAF2

AF2 zoomed in

Rendering method:

Hyc => Hypocycloids

H4_006MHyc

rendering method: Hyc

 

H4_006z01MHyc

Hyc zoomed in

H4_006z02MHyc

Hyc zoomed in

 

H4_006z03MHyc

Hyc zoomed in

Rendering method:

Spd => Spheroids

H4_007MSpd

rendering method: Spd

 

H4_007z01aMSpd

Spd zoomed in

H4_007z01bMSpd

Spd zoomed in

 

H4_007z02MSpd

Spd zoomed in

H4_007z03MSpd

Spd zoomed in

 

H4_007z04MSpd

Spd zoomed in

H4_007z05MSpd

Spd zoomed in

Rendering method:

StD => Star of David

H4_009MStD

rendering method: StD


Base image:

Halley 4

Variations/Zooms

Variations/Zooms

H4_02_000JLSt

Julia Lset

H4_02_001JADF

rendering method: ADF

H4_02_002JAF1

rendering method: AF1

Rendering methods:

ADF => Angle Double Function

AF1 => Angle Function 1

DSpd => Dimpled Spheroids

H4_02_003JDSpd

rendering method: DSpd

Rendering methods:

HSg => Half Segments

Rng => Rings

H4_02_004JHSg

rendering method: HSg

H4_02_006JRng

rendering method: Rng

Rendering method:

Hyc => Hypocycloids

H4_02_005JHyc

rendering method: Hyc

Rendering methods:

Sph => Spheres

Sqr => Squares

H4_02_009JSph

rendering method: Sph

H4_02_010JSqr

rendering method: Sqr

Rendering method:

RSg => Ring Segments

H4_02_007JRSg

rendering method: RSg

Rendering method:

Spd => Spheroids

TBs => Tangent Balls

H4_02_008JSpd

rendering method: Spd

H4_02_013JTBs

rendering method: TBs

Rendering method:

StD => Star of David

H4_02_012JStD

rendering method: StD

Rendering method:

Tri => Triangles

Stk => Stalks

H4_02_014JTri

rendering method: Tri

H4_02_011JStk

rendering method: Stk

Rendering method:

Atan => Arcus tangens

H4_02_021aJAtan

rendering method: Atan

H4_02_021bJAtan

rendering method: Atan

 

H4_02_021cJAtan

rendering method: Atan


Base image:

Halley 4

Variations/Zooms

Variations/Zooms

H4_03_000JLSt

Julia Lset

H4_03_001JADF

rendering method: ADF

H4_03_004JDSpd

rendering method: DSpd

Rendering methods:

ADF => Angle Double Function

DSpd => Dimpled Spheroids

Hyc => Hypocycloids

H4_03_006JHyc

rendering method: Hyc

Rendering method:

HSqr => Hollow Squares

RSg => Ring Segments

H4_03_005JHSqr

rendering method: HSqr

H4_03_008JRSg

rendering method: RSg

Rendering method:

Rng => Rings

H4_03_007JRng

rendering method: Rng

Rendering method:

Sqr => Squares

Stk => Stalks

H4_03_011JSqr

rendering method: Sqr

H4_03_012JStk

rendering method: Stk

Rendering method:

Spd => Spheroids

H4_03_009JSpd

rendering method: Spd

Rendering method:

TBs => Tangent Balls

Tri => Triangles

H4_03_013JTBs

rendering method: TBs

H4_03_014JTri

rendering method: Tri

Rendering method:

Sph => Spheres

H4_03_010JSph

rendering method: Sph

Rendering method:

Atan => Arcus tangens

H4_03_021aJAtan

rendering method: Atan

H4_03_021bJAtan

rendering method: Atan

 

H4_03_021cJAtan

rendering method: Atan

 


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