Monthly Best Of on 01/28/2014




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 01/28/2014 and last updated on 10/03/2024 17:02:42 -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-
1-20017 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-1585 reference(s)		Sixteen interlaced torus
3-595 reference(s)		Happy new year 2000
4-582 reference(s)
Artistic variation on a tridimensional fractal cross -iteration 2-
5-321 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-266 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
7-256 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
8-235 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
9-196 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
10-180 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)
11-162 reference(s)		Botticelli anomaly on the Moon
12-150 reference(s)
The generalized Ulam spiral
13-148 reference(s)		Autostereogram with an hidden volcano
14-147 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-139 reference(s)		Monument Valley à la David Hockney
16-126 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
17-125 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
18-122 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
19-115 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
20-114 reference(s)
Artistic view of the prime numbers
21-110 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
22-108 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-106 reference(s)		Autostereogram with an hidden volcano
24-102 reference(s)
The random walk of photons escaping the Sun
25-96 reference(s)		Autostereogram with an hidden volcano
26-92 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
27-91 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
28-90 reference(s)
Zoom in on the von Koch curve
29-88 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
30-87 reference(s)		The Lorenz attractor
31-86 reference(s)		The random walk of photons escaping the Sun
32-84 reference(s)
Fractal structure of a nucleon
33-84 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
34-81 reference(s)		Quantum vacuum fluctuations
35-80 reference(s)		Autostereogram with an hidden ring and ghost bows
36-79 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
37-78 reference(s)		Artistic variation on a tridimensional fractal cross -iteration 4-
38-69 reference(s)		From Pluto to the Sun (non linear scales)
39-68 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
40-68 reference(s)
Tridimensional Hilbert Curve -iteration 3-
41-68 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
42-63 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
43-58 reference(s)		The Scream -a Tribute to Edvard Munch-
44-58 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
45-56 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
46-56 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
47-56 reference(s)		Bidimensional Hilbert Curve -iteration 4-
48-56 reference(s)
Sixteen interlaced fractal torus
49-55 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
50-55 reference(s)		The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
51-54 reference(s)		Quark and gluon structure of a nucleon
52-53 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
53-53 reference(s)		The construction of the von Koch curve
54-52 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
55-52 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
56-52 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
57-52 reference(s)		N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -yellow body point of view-
58-51 reference(s)		A fractal hypercube
59-50 reference(s)		Autostereogram with an hidden volcano
60-48 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
61-48 reference(s)		True colors autostereogram of a fractal landscape
62-47 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
63-46 reference(s)		Autostereogram with an hidden volcano
64-45 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
65-45 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
66-44 reference(s)		Tridimensional fractal structure -the space-time foam?-
67-44 reference(s)		Sunny Monument Valley
68-43 reference(s)
From the infinitely small to the infinitely big
69-43 reference(s)		Artistic view of the Big Bang
70-42 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
71-42 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
72-42 reference(s)
Quark and gluon structure of a nucleon
73-42 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
74-42 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
75-41 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
76-41 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
77-40 reference(s)		The Jeener-Klein triple bottle
78-40 reference(s)		The random walk of photons escaping the Sun
79-39 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
80-39 reference(s)
A shell (Jeener surface 1)in motion
81-38 reference(s)		Untitled 0202 -a Tribute to Henri Matisse-
82-37 reference(s)		The generalized Ulam spiral displaying 100 numbers
83-37 reference(s)		Autostereogram of Monument Valley
84-37 reference(s)
A quaternionic Julia set -tridimensional cross-section-
85-37 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
86-37 reference(s)		Hypercube
87-37 reference(s)		Brownian motion of a few heavy slow particles inside a gaz of fast light particles
88-36 reference(s)
Fractal natural form
89-36 reference(s)		Animation of a sunrise on mountains
90-36 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
91-36 reference(s)		The construction process of the von Koch curve
92-35 reference(s)
Along the border of the Mandelbrot set
93-35 reference(s)		Recursive intertwining
94-35 reference(s)		An Archimedes spiral displaying 100000 numbers
95-35 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 050330... -12.849 digits, -base 6-
96-35 reference(s)
Botticelli anomaly on the Moon
97-35 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
98-35 reference(s)		The Birth of the Universe
99-35 reference(s)		Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
100-35 reference(s)
Quantum vacuum fluctuations
101-34 reference(s)		Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
102-34 reference(s)		Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
103-34 reference(s)		Monument Valley à la David Hockney
104-34 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
105-34 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
106-34 reference(s)		Bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
107-33 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
108-33 reference(s)
Monument Valley à la David Hockney
109-33 reference(s)		Rotation about the X axis of the Lorenz attractor
110-33 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
111-33 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
112-33 reference(s)
A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
113-32 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
114-32 reference(s)		A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
115-32 reference(s)		An aperiodic Penrose tiling of the plane
116-31 reference(s)
Brownian motion of a few heavy slow bright particles inside a gaz of fast light particles with increasing mass ratio (heavy/light=1,10,100,1000)
117-31 reference(s)		Fractal piano keyboard
118-31 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
119-31 reference(s)		A set of 4x3 stereograms of a fractal hypercube
120-31 reference(s)
Electron-positron scattering
121-31 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
122-30 reference(s)		Quark and gluon dynamics of the nucleon
123-30 reference(s)		The generalized Ulam spiral displaying 2025 numbers
124-30 reference(s)
Untitled 0203
125-30 reference(s)		Mountains at sunrise
126-30 reference(s)		Volcano
127-30 reference(s)		Animation of a natural form
128-29 reference(s)




2-The 128 most referenced Pages (*):

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



1-catalogue.11
548 reference(s)		2-demo_14
486 reference(s)
3-An2000.01.Fra
437 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
421 reference(s)
5-Fractal.01
400 reference(s)		6-AQuoiServentLesMathematiques.01
381 reference(s)
7-help.
368 reference(s)		8-Stereogrammes_AutoStereogrammes.01
313 reference(s)
9-FloatingPointNumbers.01.Fra
305 reference(s)		10-aquoiserventlesmathematiques.01
291 reference(s)
11-UlamSpiral.01.Fra
267 reference(s)		12-FaireDeLaRecherche.01.vv
267 reference(s)
13-fractal.01
263 reference(s)		14-RealNumbers.01.Fra
255 reference(s)
15-MorePages.
247 reference(s)		16-MathematiquesPhysiqueFractales.02
247 reference(s)
17-AVirtualSpaceTimeTravelMachine.Fra
241 reference(s)		18-Galerie_NewPictures.FV
232 reference(s)
19-ExpV_VirE.11
231 reference(s)		20-Galerie_DeterministicFractalGeometry.FV
230 reference(s)
21-Galerie_NumberTheory.FV
228 reference(s)		22-mail.01.vv
226 reference(s)
23-copyright.01.
225 reference(s)		24-DuModeleALImage.02.Fra
211 reference(s)
25-GoldenTriangle.01.Fra
210 reference(s)		26-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
208 reference(s)
27-GenieLogiciel_VisualisationScientifique.01.vv
206 reference(s)		28-Galerie_GeneralitiesVisualization.FV
205 reference(s)
29-ImagesDuVirtuel.01.Fra.FV
201 reference(s)		30-Galerie_QuantumMechanics.FV
201 reference(s)
31-fairedelarecherche.01.vv
198 reference(s)		32-SurfaceProjector.01.Ang
198 reference(s)
33-MonodimensionalCellularAutomata.01.Fra
198 reference(s)		34-UlamSpiral.01.Ang
196 reference(s)
35-infinity.02.vv
194 reference(s)		36-SurfaceProjector.01.Fra
194 reference(s)
37-Informations_AboutPicturesAnimationsAndFiles.01.Ang
192 reference(s)		38-Fractal.03
189 reference(s)
39-infinity.01.vv
188 reference(s)		40-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
188 reference(s)
41-NatureDesMathematiques.01.vv.Fra
187 reference(s)		42-NDimensionalDeterministicFractalSets.01.Ang
187 reference(s)
43-Galerie_ArtisticCreation.FV
187 reference(s)		44-Fractal.11
186 reference(s)
45-DieuScience.01.Fra
185 reference(s)		46-IllusionConnaissance.02
184 reference(s)
47-AProposSite.01.Fra
184 reference(s)		48-MathematiquesPhysiqueFractales.22
183 reference(s)
49-AnimFractal.01.
183 reference(s)		50-Galerie_ArtAndScience.FV
182 reference(s)
51-Galerie_DeterministicChaos.FV
180 reference(s)		52-Galerie_Astrophysics.FV
179 reference(s)
53-Autostereograms.01.
179 reference(s)		54-Galerie_FluidMechanics.FV
178 reference(s)
55-NDimensionalDeterministicFractalSets.01.Fra
176 reference(s)		56-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
176 reference(s)
57-Galerie_CelestialMechanics.FV
176 reference(s)		58-FloatingPointNumbers.01.Ang
176 reference(s)
59-EnsembleDesGaleriesFractales.DIAPO.0001
175 reference(s)		60-GenieLogiciel.01.Fra
174 reference(s)
61-Galerie_SignalProcessing.FV
174 reference(s)		62-Galerie_ParticleSystems.FV
171 reference(s)
63-OrdinateurMathematiquesArt.01.Fra
168 reference(s)		64-GoldenTriangle.01.Ang
167 reference(s)
65-demo
166 reference(s)		66-ImpossibleStructures.01.Fra
165 reference(s)
67-demo14
163 reference(s)		68-Kepler.02.
163 reference(s)
69-Galerie_TextureSynthesis.FV
163 reference(s)		70-OrdinateursEtCalculs.01.Ang
161 reference(s)
71-ManyChaos.01.Fra
161 reference(s)		72-EntrelacsIntertwinings.01.Ang
161 reference(s)
73-realnumbers
160 reference(s)		74-ExpV_VirE.21
160 reference(s)
75-EntrelacsIntertwinings.01.Fra
160 reference(s)		76-AvantPropos.01.Fra
160 reference(s)
77-nombresreels
159 reference(s)		78-logiciel
159 reference(s)
79-demo.14
159 reference(s)		80-ImpossibleStructures.01.Ang
159 reference(s)
81-an2000
158 reference(s)		82-OrdinateursEtCalculs.01.Fra
158 reference(s)
83-RemarquesCerveau.01
157 reference(s)		84-Galerie_Tributes.FV
157 reference(s)
85-Galerie_BestOf.FV
157 reference(s)		86-EnsembleDesGaleries.DIAPO.0001
157 reference(s)
87-genielogiciel
156 reference(s)		88-Galerie_AnthropomorphicPatterns.DIAPO.0040
155 reference(s)
89-ExpV_VirE.Ang
155 reference(s)		90-MonodimensionalCellularAutomata.01.Ang
154 reference(s)
91-LOG_xiMc.11
154 reference(s)		92-EnsembleDesGaleries.DIAPO.0003
154 reference(s)
93-An2000.01.Ang
153 reference(s)		94-EntrelacsIntertwinings.01.Ang.DIAPO.0047
152 reference(s)
95-EnsembleDesGaleries.DIAPO.0009
152 reference(s)		96-NombresEtLumiere.01.vv.Fra
151 reference(s)
97-EntrelacsIntertwinings.01.Ang.DIAPO.0016
151 reference(s)		98-EnsembleDesGaleries.DIAPO.0524
151 reference(s)
99-present.01.
150 reference(s)		100-EntrelacsIntertwinings.01.Ang.DIAPO.0061
150 reference(s)
101-EntrelacsIntertwinings.01.Ang.DIAPO.0027
150 reference(s)		102-subject.01.
148 reference(s)
103-ManyChaos.01.Ang
148 reference(s)		104-EntrelacsIntertwinings.01.Ang.DIAPO.0009
148 reference(s)
105-EnsembleDesGaleries.DIAPO.0275
148 reference(s)		106-DecimalesPi_100000.vv
148 reference(s)
107-MathematiquesModeleOutilArtiste.02.Ang
147 reference(s)		108-EntrelacsIntertwinings.01.Ang.DIAPO.0090
147 reference(s)
109-EntrelacsIntertwinings.01.Ang.DIAPO.0060
147 reference(s)		110-EntrelacsIntertwinings.01.Ang.DIAPO.0024
147 reference(s)
111-EntrelacsIntertwinings.01.Ang.DIAPO.0023
147 reference(s)		112-EnsembleDesGaleriesFractales.DIAPO.0080
147 reference(s)
113-EnsembleDesGaleriesFractales.DIAPO.0005
147 reference(s)		114-EnsembleDesGaleries.DIAPO.0535
147 reference(s)
115-EnsembleDesGaleries.DIAPO.0025
147 reference(s)		116-AvantPropos.01.Ang
147 reference(s)
117-create.03.
146 reference(s)		118-Spheres.01
146 reference(s)
119-MathematiquesPhysiqueFractales.01
146 reference(s)		120-EnsembleDesGaleriesFractales.DIAPO.0072
146 reference(s)
121-EnsembleDesGaleriesFractales.DIAPO.0004
146 reference(s)		122-EnsembleDesGaleries.DIAPO.0763
146 reference(s)
123-EnsembleDesGaleries.DIAPO.0151
146 reference(s)		124-Informations_GoodNewsAndBadNews.01.Fra
145 reference(s)
125-EnsembleDesGaleries.DIAPO.0496
145 reference(s)		126-EnsembleDesGaleries.DIAPO.0139
145 reference(s)
127-Galerie_NewPictures.DIAPO.0022
144 reference(s)		128-EntrelacsIntertwinings.01.Ang.DIAPO.0076
144 reference(s)

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




Copyright © Jean-François COLONNA, 2014-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2014-2024.