## Profile

## Stream

### Roger Bagula

tessellations -### Roger Bagulaowner

fractal art (pictures, poems) - **Mathematica**)

Clear[ffBoundary]

ffBoundary[n_, initialPts_: {{0., 0}, {1., 0}}] :=

Module[{f1Func, f2Func, line1, line2, line3, , step},

(* first iteration function*)

f1Func = ({{0,

(* 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*)

### Roger Bagulaowner

Discussion - ### Roger Bagulaowner

2d Julias and Mandelbrots - 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.

### Roger Bagulaowner

2d Julias and Mandelbrots - 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.

### Communities

27 communities### Roger Bagulaowner

tessellations - ### Roger Bagulaowner

2d Julias and Mandelbrots - I get this for the classical GoldenRatio Siegel Disk Julia:

### Roger Bagulaowner

fractal art (pictures, poems) - ### Roger Bagulaowner

Discussion - ### Roger Bagulaowner

Discussion - ### Roger Bagulaowner

Discussion - - UCLA
- SDSU

- fractals and surfaces (current)
- All things mathematical and fractal (current)

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.

- Bmftgmath programming, present

Phone | 619-5610814 |

- roger.bagula@gmail.com
| |

Address | Lakeside |

Sculpteo: 'Möbius_trefoil_Wheel' www.sculpteo.com 'Möbius_trefoil_Wheel': 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 |