Monthly Best Of on 05/28/2015




A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-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-
1-1062 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
2-706 reference(s)
Bidimensional Hilbert Curve -iteration 4-
3-604 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-583 reference(s)
The random walk of photons escaping the Sun
5-405 reference(s)
Tridimensional Hilbert Curve -iteration 3-
6-401 reference(s)
Happy new year 2000
7-347 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
8-306 reference(s)
The random walk of photons escaping the Sun
9-247 reference(s)
Quantum vacuum fluctuations
10-225 reference(s)
Autostereogram with an hidden volcano
11-220 reference(s)
Hypercube
12-195 reference(s)
Autostereogram with an hidden volcano
13-191 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-191 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
15-188 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-180 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
17-178 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
18-171 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
19-138 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-132 reference(s)
Sixteen interlaced torus
21-129 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-125 reference(s)
The Jeener's triple Klein bottle
23-114 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
24-108 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
25-101 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-99 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
27-98 reference(s)
Artistic view of the prime numbers
28-95 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-95 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-89 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
31-79 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
32-77 reference(s)
Quark and gluon structure of a nucleon
33-76 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
34-72 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
35-70 reference(s)
Sixteen interlaced fractal torus
36-68 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
37-67 reference(s)
Fractal natural form
38-63 reference(s)
The random walk of photons escaping the Sun
39-60 reference(s)
An Archimedes spiral displaying 10000 numbers
40-60 reference(s)
Recursive intertwining
41-59 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
42-59 reference(s)
Paradoxal Monument Valley at sunset
43-58 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
44-58 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
45-57 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
46-56 reference(s)
The bidimensional John Conway's life game
47-56 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
48-54 reference(s)
Fractal natural form
49-54 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
50-54 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
51-53 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
52-52 reference(s)
True colors autostereogram of a fractal landscape
53-52 reference(s)
From the infinitely small to the infinitely big
54-52 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
55-52 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
56-51 reference(s)
The generalized Ulam spiral
57-51 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)
58-51 reference(s)
The Möbius strip
59-51 reference(s)
A fractal hypercube
60-50 reference(s)
Autostereogram with an hidden ring and ghost bows
61-49 reference(s)
Autostereogram of Monument Valley
62-48 reference(s)
Tridimensional texture animation by means of the Generalized Product
63-47 reference(s)
A pseudo-periodical Penrose tiling of the plane
64-46 reference(s)
Autostereogram with an hidden volcano
65-46 reference(s)
The Bonan-Jeener's triple Klein bottle
66-46 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
67-45 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-
68-45 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
69-45 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
70-44 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
71-44 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
72-43 reference(s)
No Title 0234
73-43 reference(s)
Botticelli anomaly on the Moon
74-42 reference(s)
From Mars to the Sun
75-42 reference(s)
Tridimensional zoom in on the Mandelbrot set
76-42 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
77-42 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
78-42 reference(s)
A fractal vegetal structure
79-41 reference(s)
The Scream -a Tribute to Edvard Munch-
80-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
81-41 reference(s)
No Title 0232
82-41 reference(s)
Tridimensional fractal structure -the space-time foam?-
83-41 reference(s)
Bidimensional geometrical texture animation
84-40 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
85-40 reference(s)
Autostereogram with an hidden volcano
86-40 reference(s)
Quark and gluon dynamics of the nucleon
87-40 reference(s)
Fractal 7-foil torus knot
88-40 reference(s)
The sum -top, white- of 96 cosine lines -the 12 first, colors- with the 25 first prime numbers -white vertical lines-
89-39 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
90-39 reference(s)
Pseudo Olympic Rings
91-37 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
92-37 reference(s)
A set of 4x3 stereograms of a fractal hypercube
93-37 reference(s)
Quantum vacuum fluctuation dynamics
94-36 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
95-36 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
96-36 reference(s)
Autostereogram with an hidden volcano
97-35 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-
98-34 reference(s)
An Archimedes spiral displaying 5000 numbers
99-33 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold -a Tribute to José Hernández-
100-33 reference(s)
Artistic view of the Big Bang
101-32 reference(s)
A pseudo-periodical Penrose tiling of the plane
102-32 reference(s)
Quantum vacuum fluctuations
103-31 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
104-31 reference(s)
A quaternionic Julia set -tridimensional cross-section-
105-31 reference(s)
Synthesis of bidimensional geometrical textures
106-30 reference(s)
Quark and gluon structure of a nucleon
107-30 reference(s)
No Title 0231 -a tribute to Philippe Druillet-
108-30 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
109-30 reference(s)
Autostereogram with an hidden ring and ghost bows
110-29 reference(s)
The Lorenz attractor
111-29 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
112-28 reference(s)
A tridimensional periodical fluid with display of velocity histograms
113-28 reference(s)
An Archimedes spiral displaying 50000 numbers
114-28 reference(s)
Monument Valley à la David Hockney
115-28 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
116-28 reference(s)
The Klein bottle
117-28 reference(s)
The tower -a tribute to Vladimir Tatline-
118-28 reference(s)
The generalized Ulam spiral displaying 2025 numbers
119-27 reference(s)
From Pluto to the Sun (non linear scales)
120-27 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
121-27 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
122-26 reference(s)
Monument Valley à la David Hockney
123-26 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
124-26 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
125-26 reference(s)
The Eratosthene sieve displaying the integer numbers from 1 to 128
126-26 reference(s)
A tribute to Sandro Botticelli
127-26 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
128-26 reference(s)




2-The 128 most referenced Pages:



1-demo_14
695 reference(s)
2-An2000.01.Fra
441 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
392 reference(s)
4-GenieLogiciel_VisualisationScientifique.01.vv
384 reference(s)
5-help.
372 reference(s)
6-Stereogrammes_AutoStereogrammes.01
370 reference(s)
7-Fractal.01
365 reference(s)
8-FloatingPointNumbers.01.Fra
333 reference(s)
9-MathematiquesPhysiqueFractales.22
298 reference(s)
10-FaireDeLaRecherche.01.vv
280 reference(s)
11-RealNumbers.01.Fra
272 reference(s)
12-MathematiquesPhysiqueFractales.02
268 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
268 reference(s)
14-Vcatalogue.11
267 reference(s)
15-Galerie_Tributes.FV
266 reference(s)
16-Galerie_GeneralitiesVisualization.FV
259 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
258 reference(s)
18-UlamSpiral.01.Fra
255 reference(s)
19-MorePages.
254 reference(s)
20-mail.01.vv
252 reference(s)
21-infinity.02.vv
249 reference(s)
22-copyright.01.
238 reference(s)
23-GoldenTriangle.01.Fra
237 reference(s)
24-Galerie_NewPictures.FV
231 reference(s)
25-Galerie_ArtisticCreation.FV
226 reference(s)
26-NDimensionalDeterministicFractalSets.01.Ang
224 reference(s)
27-Galerie_Astrophysics.FV
224 reference(s)
28-AQuoiServentLesMathematiques.01
223 reference(s)
29-NDimensionalDeterministicFractalSets.01.Fra
221 reference(s)
30-ExpV_VirE.11
220 reference(s)
31-SurfaceProjector.01.Ang
219 reference(s)
32-Galerie_NumberTheory.FV
219 reference(s)
33-SurfaceProjector.01.Fra
217 reference(s)
34-AProposSite.01.Fra
217 reference(s)
35-Galerie_ArtAndScience.FV
216 reference(s)
36-FloatingPointNumbers.01.Ang
216 reference(s)
37-Kepler.02.
215 reference(s)
38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
213 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
213 reference(s)
40-ImpossibleStructures.01.Ang
210 reference(s)
41-MonodimensionalCellularAutomata.01.Fra
208 reference(s)
42-Galerie_SignalProcessing.FV
208 reference(s)
43-Galerie_CelestialMechanics.FV
207 reference(s)
44-Autostereograms.01.
206 reference(s)
45-fractal.01
204 reference(s)
46-OrdinateursEtCalculs.01.Fra
204 reference(s)
47-catalogue.11
202 reference(s)
48-Fractal.11
202 reference(s)
49-DieuScience.01.Fra
202 reference(s)
50-Informations_GoodNewsAndBadNews.01.Fra
200 reference(s)
51-Galerie_QuantumMechanics.FV
200 reference(s)
52-ImagesDuVirtuel.01.Fra.FV
196 reference(s)
53-ExpV_VirE.Ang
195 reference(s)
54-GenieLogiciel.01.Fra
193 reference(s)
55-Galerie_SensitivityToRoundingOffErrors.FV
193 reference(s)
56-AnimFractal.01.
193 reference(s)
57-subject.01.
192 reference(s)
58-MathematiquesModeleOutilArtiste.02.Ang
190 reference(s)
59-Fractal.03
190 reference(s)
60-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
188 reference(s)
61-fairedelarecherche.01.vv
187 reference(s)
62-NatureDesMathematiques.01.vv.Fra
187 reference(s)
63-IllusionConnaissance.02
187 reference(s)
64-Galerie_DeterministicChaos.FV
187 reference(s)
65-EntrelacsIntertwinings.01.Fra
187 reference(s)
66-EntrelacsIntertwinings.01.Ang
186 reference(s)
67-MonodimensionalCellularAutomata.01.Ang
185 reference(s)
68-ImpossibleStructures.01.Fra
184 reference(s)
69-UlamSpiral.01.Ang
183 reference(s)
70-OrdinateurMathematiquesArt.01.Fra
182 reference(s)
71-Galerie_ParticleSystems.FV
182 reference(s)
72-infinity.01.vv
181 reference(s)
73-Spheres.01
180 reference(s)
74-Galerie_FluidMechanics.FV
180 reference(s)
75-VirtualChaos.01.Fra
179 reference(s)
76-RemarquesCerveau.01
179 reference(s)
77-ManyChaos.01.Fra
179 reference(s)
78-Fractal.02
179 reference(s)
79-Galerie_BestOf.FV
177 reference(s)
80-LesApprentisDieux.01
175 reference(s)
81-Galerie_TextureSynthesis.FV
175 reference(s)
82-AvantPropos.01.Fra
175 reference(s)
83-GoldenTriangle.01.Ang
174 reference(s)
84-NombresEtLumiere.01.vv.Fra
173 reference(s)
85-PerteDeLAssociativite.01
172 reference(s)
86-VirtualChaos.01.Ang
171 reference(s)
87-LOG_xiMc.11
170 reference(s)
88-create.03.
169 reference(s)
89-OrdinateursEtCalculs.01.Ang
169 reference(s)
90-ManyChaos.01.Ang
169 reference(s)
91-PatrimoineHumanite.02.Fra
168 reference(s)
92-QuelquesQuestionsSurLaRecherche.01.Fra
167 reference(s)
93-AvantPropos.01.Ang
167 reference(s)
94-VisitesGaleriesEnfouies.01.Fra
166 reference(s)
95-VisitesGaleriesEnfouies.01.Ang
166 reference(s)
96-EnsembleDesGaleriesFractales.DIAPO.0001
166 reference(s)
97-EnsembleDesGaleries.DIAPO.0001
165 reference(s)
98-ExpV_VirE.21
164 reference(s)
99-logiciel
163 reference(s)
100-MathematiquesEtRepresentations.01.vv.Ang
163 reference(s)
101-MathematiquesEtCinematographe.01.vv
163 reference(s)
102-demo
162 reference(s)
103-Informations_AboutPicturesAnimationsAndFiles.01.Ang
162 reference(s)
104-realnumbers
161 reference(s)
105-nombresreels
160 reference(s)
106-genielogiciel
160 reference(s)
107-demo14
160 reference(s)
108-an2000
160 reference(s)
109-DuModeleALImage.02.Fra
160 reference(s)
110-demo.14
156 reference(s)
111-present.01.
153 reference(s)
112-An2000.01.Ang
147 reference(s)
113-MathematiquesPhysiqueFractales.01
142 reference(s)
114-Galerie_ImagesDesMathematiques.FV
142 reference(s)
115-Galerie_NumberTheory
133 reference(s)
116-ExpV_VirE.Fra
133 reference(s)
117-ImagesDuVirtuel.01.Fra
131 reference(s)
118-Informations_GoodNewsAndBadNews.01.Ang
128 reference(s)
119-VisSci_SciVis.02
127 reference(s)
120-MonumentValley.01.Fra
126 reference(s)
121-Galerie_NumbersAndLight.FV
126 reference(s)
122-Commentaires_NKleinBottle.01
126 reference(s)
123-Commentaires_DefinitionQuaternions.01
126 reference(s)
124-ArtEtMathematiques.01
126 reference(s)
125-Informations_AboutPicturesAnimationsAndFiles.01.Fra
125 reference(s)
126-ExpV_VirE.01.Fra
125 reference(s)
127-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
125 reference(s)
128-HommageBenoitMandelbrot.21
124 reference(s)

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