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Roger Bagula
Works at Bmftg
Attended UCLA
Lives in here in Lakeside
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Roger Bagula
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tessellations  - 
 
These were made using Dr. McClure's very old digraph package in Mathematica ( which I can't figure out how to get color to):
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Roger Bagula
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fractal art (pictures, poems)  - 
 
My Eagle Flake: an experimental  failure that is very pretty...
Mathematica)
Clear[ffBoundary]
ffBoundary[n_, initialPts_: {{0., 0}, {1., 0}}] :=
  Module[{f1Func, f2Func, line1, line2, line3, , step},
   (* first iteration function*)
   
   f1Func = ({{0, (1/Sqrt[3])}, {(1/Sqrt[3]), 0}}).#1 &;
   (* Second iteration function*)
   
   f2Func = (RotationMatrix[-5*\[Pi]/6.]/Sqrt[3.]).#1 + {1., 0} &;
   (* iteration of the two functions in four lines: 6 points:
   hexagon base*)
   
   step[points_] :=
    Flatten[{f1Func /@ points, Drop[Reverse[f2Func /@ points], 1]}, 1];
   line1 = Nest[step, initialPts, n];
   line2 =
    RotationMatrix[-2 \[Pi]/3.].# + .5 {1, Sqrt[3]} & /@
     Reverse[line1];
   line3 = RotationMatrix[2 \[Pi]/3.].# + {1., 0} & /@ line1;
   Join[Drop[line1, -1], Drop[line3, -1], Reverse[Drop[line2, 1]]]];
Show[Graphics[{EdgeForm[{Black}], FaceForm[Red],
   Polygon[ffBoundary[12]]}], ImageSize -> 1000]
(* end*)
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Roger Bagula
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Discussion  - 
 
A fractal page in French:
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L'arbre, un modèle fractale ? Peut on considérer qu'un arbre soit issu d'un modèle fractal ? I. Définition : mathématique, simplifiée : a) Définition simplifiée. Un objet est dit fractal, si d'une part, il apparaît comme irrégulier et fragmenté, et si d'autre part, ces irrégularités se ...
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Roger Bagula
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2d Julias and Mandelbrots  - 
 
Tiling the convex hulls of a Sierpinski like Julia set:
f0[z_] := z^2 + (0.004 + 0.364*I)/z
This set interested me because is looks a little like a fudge flake...
and has nice three fold symmetry.
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Roger Bagula
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2d Julias and Mandelbrots  - 
 
This 3rd polynomial of mine also gives an heptagon convex hull:
f0[r_] := (r^2 + (1 - r - r^2 + r^3)/3)
f1[z_] := Expand[z^3*f0[1/z]]
Heptagons don't tile the plane, but they do tile the hyperbolic
Poincare disk. This set demonstrates how the Mandelbrot set border can be two dimensional.
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Roger Bagula
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tessellations  - 
 
Von Koch flakes using the Steemann fudgeflake program as a base:
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Roger Bagula
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2d Julias and Mandelbrots  - 
 
Using Dr. McClure's teaching program that has Julia circles
I get this for the classical GoldenRatio Siegel Disk Julia:
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His circle algorithm doesn't work as well as my IFS one...
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Roger Bagula
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fractal art (pictures, poems)  - 
 
A Seuss flake using Dieter Steemann's fudge flake code:
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Roger Bagula
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Discussion  - 
 
One more member and we reach 300 members...
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Murugan VP's profile photoRoger Bagula's profile photo
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The brother group at linked in has 8200 members...
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Roger Bagula
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Discussion  - 
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Roger Bagula
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Discussion  - 
 
My older posts that come up in  a search:
The Dolitin- Morozov model on page103 of their book " The Universal Mandelbrot set" if c=4/9+delta: ( about delta =0.02 or so the parts come together) f(x)=c*x^3+x^2. My own version of the German Becker's cubic is: a0 = 1 + 5/9 sd = Sqrt[7] g(x)=(x^3 + (a0)*x^2 - (x/(a0) - 1))/sd ...
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  • SDSU
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inorganic chemist and math type
Introduction

About me? A Natural Philosopher is what they call people like me. I Program computers with Mathematica... I like and do quantum mechanics and cosmology. I have some reviews for Amazon in Mathematics, Physics, fiction and Movies. I'm a big Sci fi movie fan. I've spent the last 30 years as an Fractal activist and am currently a global warming news activist...a "Green". With my groups activity on the web, I have a hobby of paleoarchaeology and the study of mathematical influences on history. I organized my high school reunion 11 years ago and then, didn't go. I write poetry, short stories and fractal based jazz. I still have my draft card. Just got a gift card from the local library as runner up in their poetry contest. Have been making 3d printing models for the last few years.

https://plus.google.com/110803890168343196795/about

http://siggrapharts.ning.com/profile/RogerBagula

http://www.sculpteo.com/en/s/rlbagulatftn/

Old guy who uses Mathematica: started 3d on a Radio Shack color computer in basic about 1979. I'm an Inorganic Chemist by training with physical/ quantum Chemistry. I have been doing fractals since I was using a Commodore 64 for graphics in the 80's. In the 90's I had an Amiga and discovered ray tracing and Phong shading. I'm on a couple of Macs right now and I'm getting old. TFTN was a fractal news letter I published.

http://rogerbagula.brandyourself.com/

Born in National city. Lived childhood mostly in La Mesa, Ca. High School in Lakeside, Ca.1964. Chemistry degree from UCLA 1968. About two years drafted in the Army and 2 semesters graduate school SDSU. Computer programming self taught 1979 on. Fractal newsletter 1993 -2003 and web page design. Number theory work 2002 to present with OEIS entries. Was a Amazon Reviewer / Vine since about 2006. Interest groups at Yahoo, Linked In and Google+ communities. Over 40 years genealogy research since the late 1960's. Researching the Bagula/ Bagola/ Plowka names from Drachhausen, Hochza in Cottbus, Brandenburg,East Germany. I've composed fractal music and done some graphic art with pen and ink and mixed media painting.



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fractalist
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math programming
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  • Bmftg
    math programming, present
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here in Lakeside
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over there in La Mesa - oakland - redding( oak run) - camp belvoir , virginia - san antonio, texas - los angeles, ( santa monica, lakewood)
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Lakeside
Roger Bagula's +1's are the things they like, agree with, or want to recommend.
Sculpteo: 'Möbius_trefoil_Wheel'
www.sculpteo.com

'Möbius_trefoil_Wheel': a featured design of the Sculpteo community

Sculpteo: 'SubDiracC_3'
www.sculpteo.com

'SubDiracC_3': a featured design of the Sculpteo community

Sculpteo: 'Borromean_wheel3'
www.sculpteo.com

'Borromean_wheel3': a featured design of the Sculpteo community

Sculpteo: '5Deltoid_Cage'
www.sculpteo.com

'5Deltoid_Cage': a featured design of the Sculpteo community

Sculpteo: 'Möbius_34torusknot_wheel'
www.sculpteo.com

'Möbius_34torusknot_wheel': a featured design of the Sculpteo community

Lagangian of the Higgs scalar vacuum as a Cauchy -Levy distribution
fractist.blogspot.com

In reviewing Time Reborn by Lee Smolin I realized some thing about the pre-symmetry breaking Higgs vacuum potential.The early universe befor

Einstein's special relativity beyond the speed of light
rspa.royalsocietypublishing.org

Abstract We propose here two new transformations between inertial frames that apply for relative velocities greater than the speed of light,

sci.fractals - Google Groups
groups.google.com

Book review: Survival of the Beautiful By Lucas Brouwers | October 25, 2012 |, Roger Bagula, 7:23 AM. A Math Genius's Sad Calculus Benoit Ma

Sculpteo: 'triaxial_Möbius_22Linked_cylinder2'
www.sculpteo.com

'triaxial_Möbius_22Linked_cylinder2': a featured design of the Sculpteo community

Sculpteo: 'Kluchikov9node'
www.sculpteo.com

'Kluchikov9node': a featured design of the Sculpteo community

Sculpteo: 'Menger_complex_L2'
www.sculpteo.com

'Menger_complex_L2': a featured design of the Sculpteo community

Social psychologists espouse tolerance and diversity: Do they walk the w...
www.sciencedaily.com

Periodically, someone will make the observation that there is a lack of political diversity among psychological scientists; a discussion abo

Sculpteo: 'Dirac_wheel_unitary'
www.sculpteo.com

'Dirac_wheel_unitary': a featured design of the Sculpteo community

Sculpteo: 'teardropKleinbottle'
www.sculpteo.com

'teardropKleinbottle': a featured design of the Sculpteo community

Sculpteo: 'Möbius_21Kleinbottle'
www.sculpteo.com

'Möbius_21Kleinbottle': a featured design of the Sculpteo community

Sculpteo: 'DeltoidKleinbottleD'
www.sculpteo.com

'DeltoidKleinbottleD': a featured design of the Sculpteo community

Sculpteo: 'WhiteheadLinkAsteroid'
www.sculpteo.com

'WhiteheadLinkAsteroid': a featured design of the Sculpteo community

Sculpteo: 'Deltoid_trefoil'
www.sculpteo.com

'Deltoid_trefoil': a featured design of the Sculpteo community