Sierpinski Mugs

Created with Ultrafractal 2.05 20150110-002 { fractal: title="20150110-002" width=1024 height=768 layers=1 credits="Rupert Russell;1/11/2015" layer: caption="Background" opacity=100 mapping: center=0/.8 magn=1.5 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: transfer=none filename="dmj.ucl" entry="dmj-Triangle" p_apower=1.0 p_aflavor=normal p_power=2.0 p_bailout=1E20 outside: density=16 transfer=log filename="dmj.ucl" entry="dmj-Spiral" p_decscale=1.0 p_potscale=1.0 p_bailout=65536.0 gradient: smooth=yes rotation=12 index=20 color=8716288 index=133 color=16777215 index=149 color=65535 index=312 color=156 opacity: smooth=no...

Created with Ultrafractal 5.04 20150124-001 { fractal: title="20150124-001" width=1024 height=768 layers=1 credits="Rupert Russell;1/24/2015" layer: caption="Background" opacity=100 transparent=yes mapping: center=0/0.80104166685 magn=1.5 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: density=16 transfer=none solid=0 filename="dmj.ucl" entry="dmj-Bifurcation" p_filter=200 outside: density=8 transfer=sqrt filename="dmj.ucl" entry="dmj-TwinTrap" p_trapshape1=hypercross p_trapshape2=point p_trapmerge="A / B" p_trapweight1=7 p_trapweight2=2 p_trapcolor="angle to trap A 2" p_traptype="funky average 2" p_traporder1=4.0 p_traporder2=4...

Discover the beauty and geometry of the Sierpinski Triangle in this fascinating image. A hypnotic representation of one of the most intriguing fractals, perfect for lovers of geometry and mathematical art. Make your style unique with this artwork on your t-shirt, mug or poster!

Created with Ultrafractal 5.04 20150111-005 { fractal: title="20150111-005" width=1024 height=768 layers=1 credits="Rupert Russell;1/11/2015" layer: caption="Background" opacity=100 mapping: center=0/0.80133966105 magn=1.5 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: transfer=none outside: density=2 transfer=exp filename="dmj.ucl" entry="dmj-TwinTrap" p_trapshape1=spiral p_trapshape2=spiral p_trapmerge="A*A*A + B*B*B" p_trapweight1=6 p_trapweight2=.1 p_trapcolor="angle to trap A" p_traptype=closest p_traporder1=4.0 p_traporder2=4.0 p_trapfreq1=1.0 p_trapfreq2=1.0 p_trapcenter1=0/0 p_trapcenter2=0/0 p_aspect1=1.0 p_aspect2=1...

A simple but elegant Sierpinski triangle

20150111-008 { fractal: title="20150111-008" width=1024 height=768 layers=1 credits="Rupert Russell;1/24/2015" layer: caption="Background" opacity=100 transparent=yes mapping: center=-0.0064872525/0.83379415626 magn=1.6412615 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: density=16 transfer=none solid=0 filename="dmj.ucl" entry="dmj-Bifurcation" p_filter=200 outside: density=4 transfer=sin filename="lkm.ucl" entry="bezier-curve" p_z0=0/0 p_z1=0/1.0 p_z2=0.0/0.0 p_z3=0/0 p_dt=1 p_nexp=2 p_colorby="angle \@ min" gradient: smooth=yes rotation=-92 index=0 color=0 index=49 color=16777215 index=228 color=7637652 opacity: smooth=...

20150129-002 { fractal: title="20150129-002" width=1024 height=768 layers=1 credits="Rupert Russell;1/29/2015" layer: caption="Background" opacity=100 transparent=yes mapping: center=0/.8 magn=1.5 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: transfer=none outside: density=16 transfer=sqrt filename="em.ucl" entry="WaveTrichrome" p_palette="Direct Colouring" p_seed=.01 p_orbits=Arlecchino p_switchRB=no p_switchRG=no p_colmethod="With counter" p_naturalise=no p_postfn="4- Inverted" p_userandom=no p_hyperandom=0.04 p_lightR=0.7 p_scalarR=0.7 p_lightG=1.2 p_scalarG=1.2 p_lightB=0.25 p_scalarB=0.25 gradient: smooth=yes index=0 c...

Created with Ultrafractal 5.04 20150111-007 { fractal: title="20150111-007" width=1024 height=768 layers=1 credits="Rupert Russell;1/11/2015" layer: caption="Background" opacity=100 mapping: center=0/0.80104166685 magn=1.5 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: density=16 transfer=none filename="dmj.ucl" entry="dmj-Bifurcation" p_filter=200 outside: density=16 transfer=sin filename="dmj.ucl" entry="dmj-TwinTrap" p_trapshape1=spiral p_trapshape2=spiral p_trapmerge="A*A*A + B*B*B" p_trapweight1=6 p_trapweight2=.1 p_trapcolor="real A" p_traptype="trap only" p_traporder1=4.0 p_traporder2=4.0 p_trapfreq1=1.0 p_trapfreq2=1....

Created with Ultrafractal 5.04 20150123-004 { fractal: title="20150123-004" width=1024 height=768 layers=1 credits="Rupert Russell;1/24/2015" layer: caption="Background" opacity=100 transparent=yes mapping: center=-0.0064872525/0.83379415626 magn=1.6412615 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: density=16 transfer=none solid=0 filename="dmj.ucl" entry="dmj-Bifurcation" p_filter=200 outside: density=16 transfer=arctan repeat=no filename="reb.ucl" entry="exp_coral_texture" p_version=1.0 p_solidb=no p_colors=2.0 p_trap=no p_itrap=0.0/1.0 p_palrange=256.0 p_scale=1.0 p_wate=0.05 p_hite=0.01 p_fbms=0.01 p_angle=0.0 p_converge...

Discover the beauty and geometry of the Sierpinski Triangle in this fascinating image. A hypnotic representation of one of the most intriguing fractals, perfect for lovers of geometry and mathematical art. Make your style unique with this artwork on your t-shirt, mug or poster!

Discover the beauty and geometry of the Sierpinski Triangle in this fascinating image. A hypnotic representation of one of the most intriguing fractals, perfect for lovers of geometry and mathematical art. Make your style unique with this artwork on your t-shirt, mug or poster!

Sierpinski Cube

Discover the beauty and geometry of the Sierpinski Triangle in this fascinating image. A hypnotic representation of one of the most intriguing fractals, perfect for lovers of geometry and mathematical art. Make your style unique with this artwork on your t-shirt, mug or poster!

The purple turquoise / teal hexagon star (six-sided polygon) in this design is a Sierpinski triangle (also called Sierpiński seal or Sierpiński sieve), which is a fractal set of an equilateral triangle. The Sierpinski triangle is named after the Polish mathematician Wacław Sierpiński, which in this picture also produces a six-pointed geometric star (a hexagram).

The red orange hexagon (six-sided polygon) in this design is created by a Sierpinski triangle (also called Sierpiński seal or Sierpiński sieve), which is a fractal set of an equilateral triangle. The Sierpinski triangle is named after the Polish mathematician Wacław Sierpiński, which in this picture also produces a six-pointed geometric star figure (a hexagram).

Sierpinski

Created with Ultrafractal 20150124-002 { fractal: title="20150124-002" width=1024 height=768 layers=1 credits="Rupert Russell;1/24/2015" layer: caption="Background" opacity=100 transparent=yes mapping: center=-0.042397887/0.82051201236 magn=1.6412614 formula: maxiter=100 filename="sam.ufm" entry="SierpinskiTriangleII" p_alpha=60.0 p_trt=0.0 p_offset=0/0 inside: density=16 transfer=none solid=0 filename="reb.ucl" entry="Apollonian_Gasket" p_version=1.0 p_solid=yes p_applyMapping=no p_percentInc=0.0 p_level=100 p_scircle=0.01 p_base=no p_lace=no p_ptype=None p_pert=1 p_scale=1 p_ncolor=8 p_rwidth=0.1 p_rcolor=1 p_clip=no p_method=level p_adj=1.0 p_xfer=linear p_zscale=0.4 p_zscale2=0.025 p_angle...

Ultrafractal 5.04 "Source Code":http://rupertrussell.weebly.com/source-code/september-27th-2016

A Sierpinski triangle is a fractal of equilateral triangles that may be subdivided into increasingly smaller triangles. This version includes an additional triangle in middle of the form, rendered in a bronze color.

the 'Sierpinski carpet' is a plane fractal first described by Wacław Sierpiński in 1916 - the carpet is one generalisation of the Cantor set to two dimensions - read more here: en.wikipedia.org/wiki/Sierpinski_carpet here the it has been rotated to make a diamond

The Sierpinski triangle, also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of a triangle, subdivided recursively into smaller triangles. It is named after the Polish mathematician Wacław Sierpiński, but appeared as a decorative pattern many centuries before the work of Sierpiński. read more here: https://en.wikipedia.org/wiki/Sierpinski_triangle

The Sierpinski triangle, also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of a triangle, subdivided recursively into smaller triangles. It is named after the Polish mathematician Wacław Sierpiński, but appeared as a decorative pattern many centuries before the work of Sierpiński. read more here: https://en.wikipedia.org/wiki/Sierpinski_triangle

the 'Sierpinski carpet' is a plane fractal first described by Wacław Sierpiński in 1916 - the carpet is one generalisation of the Cantor set to two dimensions - read more here: en.wikipedia.org/wiki/Sierpinski_carpet

Illustrated image of the Sierpinski triangle. This image is perfect for mathematicians, architects, occultists, physicists, astrophysicists, artists, and lovers of sacred knowledge. Ideal as a gift for friends or colleagues.

the 'Sierpinski carpet' is a plane fractal first described by Wacław Sierpiński in 1916 - the carpet is one generalisation of the Cantor set to two dimensions - read more here: en.wikipedia.org/wiki/Sierpinski_carpet

Sierpinski IV

the 'Sierpinski carpet' is a plane fractal first described by Wacław Sierpiński in 1916 - the carpet is one generalisation of the Cantor set to two dimensions - read more here: en.wikipedia.org/wiki/Sierpinski_carpet here the it has been rotated to make a diamond and tiled to make a repeating pattern ... does 'pinot noir' sound like i'm trying too hard?

Sierpinski II

Sierpinski VI

These worlds of awe.

Sierpinski V

Also available in white on Black "Sierpinski XIII": http://www.redbubble.com/people/rupertrussell/works/4652884-sierpinski-xi?utm_campaign=artist-notification&utm_medium=email&utm_source=RB

Sierpinski XII

Sierpinski triangle

the 'Sierpinski carpet' is a plane fractal first described by Wacław Sierpiński in 1916 - the carpet is one generalisation of the Cantor set to two dimensions - read more here: en.wikipedia.org/wiki/Sierpinski_carpet here the it has been rotated to make a diamond and tiled to make a repeating pattern ... does 'eucalypt mist' sound like i'm trying too hard?

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