Monthly Best Of on 06/28/2015




A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-901 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
2-584 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-534 reference(s)
Bidimensional Hilbert Curve -iteration 4-
4-427 reference(s)
Tridimensional Hilbert Curve -iteration 3-
5-335 reference(s)
Happy new year 2000
6-261 reference(s)
The random walk of photons escaping the Sun
7-254 reference(s)
Hypercube
8-242 reference(s)
The random walk of photons escaping the Sun
9-237 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
10-191 reference(s)
Autostereogram with an hidden volcano
11-183 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-181 reference(s)
Autostereogram with an hidden volcano
13-172 reference(s)
Sixteen interlaced torus
14-159 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
15-159 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-138 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
17-137 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-135 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
19-128 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-127 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
21-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-117 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
23-111 reference(s)
The Jeener's triple Klein bottle
24-103 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
25-100 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
26-90 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
27-88 reference(s)
Quantum vacuum fluctuations
28-86 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-78 reference(s)
The Bonan-Jeener's triple Klein bottle
30-78 reference(s)
Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
31-74 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-74 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
33-70 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
34-65 reference(s)
The generalized Ulam spiral
35-65 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
36-65 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
37-63 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
38-62 reference(s)
Artistic view of the prime numbers
39-62 reference(s)
The random walk of photons escaping the Sun
40-59 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
41-58 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
42-55 reference(s)
Tridimensional texture animation by means of the Generalized Product
43-53 reference(s)
Fractal natural form
44-52 reference(s)
True colors autostereogram of a fractal landscape
45-52 reference(s)
Autostereogram of Monument Valley
46-51 reference(s)
The bidimensional John Conway's life game
47-50 reference(s)
Sixteen interlaced fractal torus
48-50 reference(s)
Quark and gluon structure of a nucleon
49-49 reference(s)
Autostereogram with an hidden volcano
50-48 reference(s)
Fractal natural form
51-46 reference(s)
A pseudo-periodical Penrose tiling of the plane
52-45 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-45 reference(s)
Autostereogram with an hidden volcano
54-44 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
55-43 reference(s)
Autostereogram with an hidden ring and ghost bows
56-43 reference(s)
Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
57-43 reference(s)
An Archimedes spiral displaying 10000 numbers
58-43 reference(s)
The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
59-42 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
60-42 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
61-41 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
62-41 reference(s)
Tridimensional zoom in on the Mandelbrot set
63-40 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
64-39 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
65-39 reference(s)
Bidimensional texture animation by means of the Generalized Product
66-39 reference(s)
The Möbius strip
67-39 reference(s)
Bidimensional geometrical texture animation
68-38 reference(s)
The Scream -a Tribute to Edvard Munch-
69-38 reference(s)
An Archimedes spiral displaying 5000 numbers
70-38 reference(s)
Paradoxal Monument Valley at sunset
71-38 reference(s)
From Mars to the Sun
72-38 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
73-38 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
74-37 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
75-37 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
76-36 reference(s)
Random quadrangulation of a cube -8x8x8-
77-35 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
78-35 reference(s)
A fractal hypercube
79-34 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
80-32 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
81-30 reference(s)
Quantum vacuum fluctuations
82-30 reference(s)
Pseudo Olympic Rings
83-30 reference(s)
Regular quadrangulation of the volume of a torus -18x18x18-
84-30 reference(s)
Random quadrangulation of the volume of a sphere -18x18x18-
85-30 reference(s)
A tridimensional periodical fluid with display of velocity histograms
86-29 reference(s)
A set of 4x3 stereograms of a fractal hypercube
87-29 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
88-28 reference(s)
Synthesis of bidimensional geometrical textures
89-28 reference(s)
From the infinitely small to the infinitely big
90-28 reference(s)
Artistic view of the Bonan-Jeener's triple Klein bottle
91-28 reference(s)
Synthesis of bidimensional geometrical textures
92-27 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
93-27 reference(s)
A quaternionic Julia set -tridimensional cross-section-
94-27 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
95-27 reference(s)
The Jeener's triple Klein bottle
96-27 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
97-26 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
98-26 reference(s)
Artistic view of the Big Bang
99-25 reference(s)
A pseudo-periodical Penrose tiling of the plane
100-25 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
101-25 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
102-25 reference(s)
Intertwining
103-24 reference(s)
Fractal 7-foil torus knot
104-24 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
105-24 reference(s)
The tower -a tribute to Vladimir Tatline-
106-24 reference(s)
Monument Valley à la David Hockney
107-23 reference(s)
Tridimensional visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
108-23 reference(s)
A tribute to Sandro Botticelli
109-23 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
110-22 reference(s)
Autostereogram with an hidden volcano
111-22 reference(s)
Monument Valley à la David Hockney
112-22 reference(s)
Botticelli anomaly on the Moon
113-22 reference(s)
The Lorenz attractor
114-22 reference(s)
Tridimensional fractal structure -the space-time foam?-
115-22 reference(s)
A fractal vegetal structure
116-21 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
117-21 reference(s)
A pay slip
118-21 reference(s)
The generalized Ulam spiral displaying 100 numbers
119-21 reference(s)
A set of 4x3 stereograms of a few Babel Towers
120-21 reference(s)
The actual Solar System viewed during 243 years from a green virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Pluto-
121-21 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
122-21 reference(s)
Cauliflowers, seaweeds, shells,... with fog
123-20 reference(s)
The generalized Ulam spiral displaying 2025 numbers
124-20 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
125-20 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
126-20 reference(s)
Jean-François Colonna
127-20 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
128-19 reference(s)




2-The 128 most referenced Pages:



1-demo_14
608 reference(s)
2-An2000.01.Fra
369 reference(s)
3-help.
327 reference(s)
4-MathematiquesPhysiqueFractales.22
326 reference(s)
5-Fractal.01
314 reference(s)
6-FloatingPointNumbers.01.Fra
306 reference(s)
7-Galerie_Tributes.FV
287 reference(s)
8-Stereogrammes_AutoStereogrammes.01
285 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
265 reference(s)
10-AVirtualSpaceTimeTravelMachine.Ang
253 reference(s)
11-FaireDeLaRecherche.01.vv
246 reference(s)
12-ExpV_VirE.21
244 reference(s)
13-RealNumbers.01.Fra
235 reference(s)
14-NDimensionalDeterministicFractalSets.01.Fra
230 reference(s)
15-MathematiquesPhysiqueFractales.02
224 reference(s)
16-Galerie_NumberTheory.FV
220 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
220 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
219 reference(s)
19-Galerie_GeneralitiesVisualization.FV
207 reference(s)
20-UlamSpiral.01.Fra
205 reference(s)
21-ExpV_VirE.11
204 reference(s)
22-AProposSite.01.Fra
202 reference(s)
23-mail.01.vv
197 reference(s)
24-Galerie_NewPictures.FV
197 reference(s)
25-Galerie_SignalProcessing.FV
193 reference(s)
26-infinity.02.vv
191 reference(s)
27-SurfaceProjector.01.Fra
190 reference(s)
28-copyright.01.
189 reference(s)
29-Vcatalogue.11
188 reference(s)
30-catalogue.11
186 reference(s)
31-Galerie_ArtisticCreation.FV
185 reference(s)
32-SurfaceProjector.01.Ang
184 reference(s)
33-Informations_GoodNewsAndBadNews.01.Fra
184 reference(s)
34-Galerie_ArtAndScience.FV
184 reference(s)
35-ExpV_VirE.Ang
183 reference(s)
36-AQuoiServentLesMathematiques.01
183 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
182 reference(s)
38-GoldenTriangle.01.Fra
182 reference(s)
39-MonodimensionalCellularAutomata.01.Fra
181 reference(s)
40-OrdinateursEtCalculs.01.Fra
179 reference(s)
41-MorePages.
179 reference(s)
42-Galerie_QuantumMechanics.FV
179 reference(s)
43-Galerie_CelestialMechanics.FV
177 reference(s)
44-DieuScience.01.Fra
176 reference(s)
45-OrdinateursEtCalculs.01.Ang
172 reference(s)
46-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
172 reference(s)
47-Fractal.03
171 reference(s)
48-EntrelacsIntertwinings.01.Fra
170 reference(s)
49-EntrelacsIntertwinings.01.Ang
170 reference(s)
50-Galerie_Astrophysics.FV
169 reference(s)
51-subject.01.
168 reference(s)
52-fractal.01
168 reference(s)
53-ImpossibleStructures.01.Ang
168 reference(s)
54-ImagesDuVirtuel.01.Fra.FV
168 reference(s)
55-Galerie_ParticleSystems.FV
167 reference(s)
56-fairedelarecherche.01.vv
166 reference(s)
57-Galerie_BestOf.FV
166 reference(s)
58-Fractal.11
166 reference(s)
59-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
165 reference(s)
60-VirtualChaos.01.Ang
163 reference(s)
61-Galerie_DeterministicChaos.FV
163 reference(s)
62-AnimFractal.01.
163 reference(s)
63-infinity.01.vv
162 reference(s)
64-UlamSpiral.01.Ang
162 reference(s)
65-Kepler.02.
162 reference(s)
66-Galerie_TextureSynthesis.FV
162 reference(s)
67-Autostereograms.01.
162 reference(s)
68-NatureDesMathematiques.01.vv.Fra
161 reference(s)
69-GenieLogiciel.01.Fra
160 reference(s)
70-Galerie_FluidMechanics.FV
160 reference(s)
71-RemarquesCerveau.01
158 reference(s)
72-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
158 reference(s)
73-MathematiquesModeleOutilArtiste.02.Ang
157 reference(s)
74-ImpossibleStructures.01.Fra
157 reference(s)
75-FloatingPointNumbers.01.Ang
157 reference(s)
76-VisitesGaleriesEnfouies.01.Ang
155 reference(s)
77-GoldenTriangle.01.Ang
155 reference(s)
78-OrdinateurMathematiquesArt.01.Fra
154 reference(s)
79-ManyChaos.01.Fra
154 reference(s)
80-IllusionConnaissance.02
154 reference(s)
81-an2000
153 reference(s)
82-PatrimoineHumanite.02.Fra
153 reference(s)
83-NombresEtLumiere.01.vv.Fra
152 reference(s)
84-LOG_xiMc.11
152 reference(s)
85-Spheres.01
151 reference(s)
86-MonodimensionalCellularAutomata.01.Ang
150 reference(s)
87-EnsembleDesGaleries.DIAPO.0001
150 reference(s)
88-AvantPropos.01.Ang
150 reference(s)
89-VirtualChaos.01.Fra
149 reference(s)
90-MathematiquesEtRepresentations.01.vv.Ang
149 reference(s)
91-ManyChaos.01.Ang
149 reference(s)
92-Galerie_SensitivityToRoundingOffErrors.FV
149 reference(s)
93-Fractal.02
149 reference(s)
94-EnsembleDesGaleriesFractales.DIAPO.0001
149 reference(s)
95-DuModeleALImage.02.Fra
149 reference(s)
96-AvantPropos.01.Fra
149 reference(s)
97-VisitesGaleriesEnfouies.01.Fra
148 reference(s)
98-MathematiquesEtCinematographe.01.vv
148 reference(s)
99-PerteDeLAssociativite.01
147 reference(s)
100-LesApprentisDieux.01
146 reference(s)
101-QuelquesQuestionsSurLaRecherche.01.Fra
145 reference(s)
102-realnumbers
144 reference(s)
103-logiciel
144 reference(s)
104-demo
144 reference(s)
105-create.03.
144 reference(s)
106-nombresreels
143 reference(s)
107-demo.14
142 reference(s)
108-genielogiciel
141 reference(s)
109-demo14
141 reference(s)
110-Informations_AboutPicturesAnimationsAndFiles.01.Ang
140 reference(s)
111-present.01.
127 reference(s)
112-NombresEtLumiere.02.vv.Ang
126 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Fra
120 reference(s)
114-ImagesDuVirtuel.01.Fra
120 reference(s)
115-ArtEtMathematiques.01
120 reference(s)
116-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
116 reference(s)
117-Galerie_NumbersAndLight.FV
115 reference(s)
118-Galerie_ImagesDesMathematiques.FV
115 reference(s)
119-ExpV_VirE.Fra
115 reference(s)
120-Commentaires_ModeleIsingBiDimensionnel.01
114 reference(s)
121-MOSA.JFC.F1.F2.20031207
113 reference(s)
122-AQuoiServentLesMathematiques.03
113 reference(s)
123-Informations_GoodNewsAndBadNews.01.Ang
111 reference(s)
124-Galerie_Tributes.DIAPO.0001
110 reference(s)
125-VisSci_SciVis.02
109 reference(s)
126-MonumentValley.01.Ang
109 reference(s)
127-Galeries.01.vv
109 reference(s)
128-MathematiquesPhysiqueFractales.01
108 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright (c) Jean-François Colonna, 2015-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2015-2018.