Monthly Best Of on 03/28/2015




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 03/28/2015 and last updated on 10/03/2024 17:02:58 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-958 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-700 reference(s)		Quantum vacuum fluctuations
3-580 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
4-576 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-444 reference(s)		Tridimensional Hilbert Curve -iteration 3-
6-400 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
7-386 reference(s)		The random walk of photons escaping the Sun
8-362 reference(s)
Autostereogram with an hidden volcano
9-333 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
10-280 reference(s)		The random walk of photons escaping the Sun
11-264 reference(s)		Happy new year 2000
12-262 reference(s)
Autostereogram with an hidden volcano
13-261 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
14-186 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
15-167 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-164 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-160 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
18-156 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-155 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-151 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
21-141 reference(s)		Sixteen interlaced torus
22-137 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
23-125 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-122 reference(s)
Quark and gluon structure of a nucleon
25-119 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
26-118 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
27-112 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
28-111 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
29-101 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
30-99 reference(s)		Sixteen interlaced fractal torus
31-98 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
32-98 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
33-97 reference(s)		The Jeener-Klein triple bottle
34-95 reference(s)		A fractal hypercube
35-94 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
36-94 reference(s)
True colors autostereogram of a fractal landscape
37-90 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
38-89 reference(s)		An aperiodic Penrose tiling of the plane
39-86 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
40-85 reference(s)
Hypercube
41-85 reference(s)		Autostereogram of Monument Valley
42-78 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
43-77 reference(s)		Artistic view of the prime numbers
44-75 reference(s)
Autostereogram with an hidden volcano
45-74 reference(s)		The generalized Ulam spiral
46-74 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
47-74 reference(s)		The random walk of photons escaping the Sun
48-72 reference(s)
Autostereogram with an hidden volcano
49-69 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
50-69 reference(s)		From Mars to the Sun
51-65 reference(s)		Autostereogram with an hidden ring and ghost bows
52-64 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
53-64 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
54-64 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
55-61 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
56-58 reference(s)
The Möbius strip
57-58 reference(s)		The Bonan-Jeener-Klein triple bottle
58-58 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)
59-57 reference(s)		Fractal natural form
60-55 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
61-54 reference(s)		The bidimensional John Conway's life game
62-53 reference(s)		Autostereogram with an hidden volcano
63-51 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
64-51 reference(s)
The Lorenz attractor
65-51 reference(s)		Quark and gluon structure of a nucleon
66-48 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
67-48 reference(s)		Tridimensional fractal structure -the space-time foam?-
68-48 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
69-48 reference(s)		Fractal natural form
70-47 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
71-47 reference(s)		The third 'power' of a torus defined by means of three bidimensional fields
72-47 reference(s)
Pseudo Olympic Rings
73-47 reference(s)		The Scream -a Tribute to Edvard Munch-
74-47 reference(s)		Pseudo Olympic Rings
75-46 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
76-46 reference(s)
Artistic view of the Big Bang
77-44 reference(s)		The generalized Ulam spiral displaying 2025 numbers
78-44 reference(s)		Tridimensional zoom in on the Mandelbrot set
79-44 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
80-44 reference(s)
A quaternionic Julia set -tridimensional cross-section-
81-44 reference(s)		An aperiodic Penrose tiling of the plane
82-43 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
83-43 reference(s)		Tridimensional texture animation by means of the Generalized Product
84-43 reference(s)
Bidimensional texture animation by means of the Generalized Product
85-43 reference(s)		An Archimedes spiral displaying 5000 numbers
86-43 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
87-43 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
88-43 reference(s)
An Archimedes spiral displaying 10000 numbers
89-42 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
90-42 reference(s)		Along the border of the Mandelbrot set
91-41 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
92-41 reference(s)
Bidimensional geometrical texture animation
93-39 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
94-37 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
95-37 reference(s)		Bidimensional zoom in on the Mandelbrot set
96-37 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
97-37 reference(s)		Synthesis of tridimensional textures
98-37 reference(s)		From Pluto to the Sun (non linear scales)
99-36 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
100-36 reference(s)
The generalized Ulam spiral displaying 100 numbers
101-35 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
102-35 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
103-35 reference(s)		From the infinitely small to the infinitely big
104-35 reference(s)
Monument Valley à la David Hockney
105-34 reference(s)		Close-up on a foggy 'MandelBox' -tridimensional cross-section-
106-33 reference(s)		The Jeener-Klein triple bottle
107-33 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
108-32 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
109-32 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
110-31 reference(s)		A pay slip
111-31 reference(s)		Recursive intertwining
112-30 reference(s)
Botticelli anomaly on the Moon
113-30 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
114-30 reference(s)		The Birth of the Universe
115-30 reference(s)		A set of 4x3 stereograms of a fractal hypercube
116-30 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
117-30 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
118-29 reference(s)		From 'geocentrism' to 'heliocentrism'
119-29 reference(s)		A tridimensional pseudo-random walk defined by means of 'phi' -the golden ratio-: 1.618033... -100.000 digits, base 10- into 341254... -128.508 digits, -base 6-
120-29 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
121-29 reference(s)		Tridimensional brownian motion
122-29 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
123-28 reference(s)		Artistic display of a Sudoku grid
124-28 reference(s)
Untitled 0226
125-28 reference(s)		Isotropic random walk of 64 particles on a tridimensional square lattice
126-28 reference(s)		The terraforming of the Moon
127-28 reference(s)		Botticelli anomaly on the Moon
128-28 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-demo_14
586 reference(s)		2-ImagesDuVirtuel.01.Fra.FV
516 reference(s)
3-An2000.01.Fra
513 reference(s)		4-Stereogrammes_AutoStereogrammes.01
419 reference(s)
5-Fractal.01
392 reference(s)		6-FloatingPointNumbers.01.Fra
392 reference(s)
7-ImagesDuVirtuel.01.Fra
373 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
364 reference(s)
9-Informations_GoodNewsAndBadNews.01.Fra
359 reference(s)		10-help.
352 reference(s)
11-MathematiquesPhysiqueFractales.22
325 reference(s)		12-AVirtualSpaceTimeTravelMachine.Ang
323 reference(s)
13-Galerie_Tributes.FV
318 reference(s)		14-MathematiquesPhysiqueFractales.02
306 reference(s)
15-FaireDeLaRecherche.01.vv
296 reference(s)		16-AQuoiServentLesMathematiques.01
293 reference(s)
17-UlamSpiral.01.Fra
288 reference(s)		18-Galerie_NumberTheory.FV
287 reference(s)
19-RealNumbers.01.Fra
286 reference(s)		20-MorePages.
284 reference(s)
21-mail.01.vv
277 reference(s)		22-AVirtualSpaceTimeTravelMachine.Fra
272 reference(s)
23-Galerie_DeterministicFractalGeometry.FV
270 reference(s)		24-SurfaceProjector.01.Fra
260 reference(s)
25-Galerie_NewPictures.FV
259 reference(s)		26-SurfaceProjector.01.Ang
252 reference(s)
27-DieuScience.01.Fra
251 reference(s)		28-NDimensionalDeterministicFractalSets.01.Fra
245 reference(s)
29-Kepler.02.
245 reference(s)		30-Autostereograms.01.
240 reference(s)
31-Galerie_GeneralitiesVisualization.FV
239 reference(s)		32-fractal.01
237 reference(s)
33-NombresEtLumiere.01.vv.Fra
237 reference(s)		34-ExpV_VirE.Fra
236 reference(s)
35-GoldenTriangle.01.Fra
234 reference(s)		36-Fractal.11
232 reference(s)
37-AnimFractal.01.
232 reference(s)		38-MonodimensionalCellularAutomata.01.Fra
231 reference(s)
39-ExpV_VirE.11
227 reference(s)		40-Galerie_ArtisticCreation.FV
225 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
224 reference(s)		42-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
224 reference(s)
43-NDimensionalDeterministicFractalSets.01.Ang
222 reference(s)		44-subject.01.
221 reference(s)
45-ImpossibleStructures.01.Ang
220 reference(s)		46-copyright.01.
219 reference(s)
47-Galerie_CelestialMechanics.FV
212 reference(s)		48-Galerie_QuantumMechanics.FV
211 reference(s)
49-Galerie_Astrophysics.FV
211 reference(s)		50-AProposSite.01.Fra
211 reference(s)
51-Galerie_ArtAndScience.FV
210 reference(s)		52-EntrelacsIntertwinings.01.Ang
210 reference(s)
53-IllusionConnaissance.02
209 reference(s)		54-ImpossibleStructures.01.Fra
206 reference(s)
55-Galerie_ParticleSystems.FV
206 reference(s)		56-Galerie_BestOf.FV
206 reference(s)
57-create.03.
203 reference(s)		58-OrdinateursEtCalculs.01.Fra
202 reference(s)
59-MathematiquesModeleOutilArtiste.02.Ang
202 reference(s)		60-GenieLogiciel.01.Fra
201 reference(s)
61-FloatingPointNumbers.01.Ang
201 reference(s)		62-MonodimensionalCellularAutomata.01.Ang
200 reference(s)
63-Galerie_SignalProcessing.FV
200 reference(s)		64-EntrelacsIntertwinings.01.Fra
199 reference(s)
65-NatureDesMathematiques.01.vv.Fra
197 reference(s)		66-infinity.02.vv
194 reference(s)
67-infinity.01.vv
194 reference(s)		68-catalogue.11
194 reference(s)
69-Galerie_TextureSynthesis.FV
193 reference(s)		70-Galerie_DeterministicChaos.FV
192 reference(s)
71-DuModeleALImage.02.Fra
191 reference(s)		72-fairedelarecherche.01.vv
190 reference(s)
73-OrdinateurMathematiquesArt.01.Fra
190 reference(s)		74-ExpV_VirE.Ang
186 reference(s)
75-Galerie_ImagesDesMathematiques.FV
184 reference(s)		76-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
182 reference(s)
77-ManyChaos.01.Fra
180 reference(s)		78-an2000
178 reference(s)
79-QuelquesQuestionsSurLaRecherche.01.Fra
178 reference(s)		80-Fractal.03
178 reference(s)
81-VirtualChaos.01.Fra
177 reference(s)		82-demo14
176 reference(s)
83-LOG_xiMc.11
176 reference(s)		84-GoldenTriangle.01.Ang
176 reference(s)
85-demo
175 reference(s)		86-UlamSpiral.01.Ang
175 reference(s)
87-Galerie_FluidMechanics.FV
175 reference(s)		88-AvantPropos.01.Ang
175 reference(s)
89-PatrimoineHumanite.02.Fra
174 reference(s)		90-realnumbers
173 reference(s)
91-RemarquesCerveau.01
173 reference(s)		92-PerteDeLAssociativite.01
173 reference(s)
93-nombresreels
171 reference(s)		94-Fractal.02
171 reference(s)
95-logiciel
170 reference(s)		96-genielogiciel
170 reference(s)
97-Galerie_SensitivityToRoundingOffErrors.FV
170 reference(s)		98-EnsembleDesGaleriesFractales.DIAPO.0001
170 reference(s)
99-Spheres.01
169 reference(s)		100-demo.14
168 reference(s)
101-EnsembleDesGaleries.DIAPO.0001
168 reference(s)		102-VisitesGaleriesEnfouies.01.Fra
167 reference(s)
103-AvantPropos.01.Fra
166 reference(s)		104-VirtualChaos.01.Ang
165 reference(s)
105-OrdinateursEtCalculs.01.Ang
165 reference(s)		106-MathematiquesEtCinematographe.01.vv
164 reference(s)
107-ManyChaos.01.Ang
163 reference(s)		108-LesApprentisDieux.01
163 reference(s)
109-MathematiquesEtRepresentations.01.vv.Ang
160 reference(s)		110-VisitesGaleriesEnfouies.01.Ang
159 reference(s)
111-present.01.
154 reference(s)		112-ExpV_VirE.21
151 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Ang
148 reference(s)		114-Galerie_NumbersAndLight.FV
139 reference(s)
115-ArtEtMathematiques.01
139 reference(s)		116-Galerie_TextureSynthesis
137 reference(s)
117-MathematiquesPhysiqueFractales.01
133 reference(s)		118-Vcatalogue.11
132 reference(s)
119-An2000.01.Ang
132 reference(s)		120-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
130 reference(s)
121-ExpV_VirE.01.Fra
129 reference(s)		122-Galerie_NumberTheory
126 reference(s)
123-Galerie_ArtAndScience
126 reference(s)		124-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
125 reference(s)
125-Informations_GoodNewsAndBadNews.01.Ang
124 reference(s)		126-An2000.02.Fra
124 reference(s)
127-Informations_AboutPicturesAnimationsAndFiles.01.Fra
123 reference(s)		128-Commentaires_NKleinBottle.01
123 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2024.