Monthly Best Of on 06/28/2013




Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-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 06/28/2013 and last updated on 10/03/2024 17:02:38 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-327 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
2-291 reference(s)		Monument Valley à la David Hockney
3-209 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
4-154 reference(s)
Artistic view of the prime numbers
5-138 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-130 reference(s)		A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
7-123 reference(s)		Sixteen interlaced torus
8-122 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
9-104 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-103 reference(s)		Tridimensional Hilbert Curve -iteration 3-
11-98 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
12-97 reference(s)
Autostereogram with an hidden volcano
13-92 reference(s)		Zoom in on the von Koch curve
14-88 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-
15-86 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
16-84 reference(s)
The Jeener-Klein triple bottle
17-79 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
18-78 reference(s)		The random walk of photons escaping the Sun
19-76 reference(s)		The random walk of photons escaping the Sun
20-75 reference(s)
Autostereogram with an hidden volcano
21-70 reference(s)		The generalized Ulam spiral
22-70 reference(s)		Happy new year 2000
23-70 reference(s)		Autostereogram with an hidden volcano
24-65 reference(s)
Autostereogram with an hidden volcano
25-63 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
26-61 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
27-58 reference(s)		From Pluto to the Sun (non linear scales)
28-57 reference(s)
The Lorenz attractor
29-55 reference(s)		Autostereogram with an hidden ring and ghost bows
30-54 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
31-53 reference(s)		Autostereogram with an hidden volcano
32-53 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-52 reference(s)		Quark and gluon structure of a nucleon
34-44 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
35-43 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
36-40 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
37-40 reference(s)		From the infinitely small to the infinitely big
38-40 reference(s)		Quantum vacuum fluctuations
39-39 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
40-39 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
41-36 reference(s)		A tridimensional Möbius-like manifold defined by means of three tridimensional fields
42-36 reference(s)		Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
43-35 reference(s)		The generalized Ulam spiral displaying 100 numbers
44-35 reference(s)
Mountains at sunrise
45-35 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
46-34 reference(s)		Anaglyph -blue=right, red=left- of an hypercube
47-33 reference(s)		A set of 4x3 stereograms of a fractal hypercube
48-33 reference(s)
The generalized Ulam spiral displaying 1024 numbers
49-32 reference(s)		Hypercube
50-32 reference(s)		A 4-cube -an hypercube-
51-32 reference(s)		Quantum vacuum fluctuations
52-30 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
53-30 reference(s)		Mystery mountain at sunrise
54-30 reference(s)		Tridimensional visualization of the Mandelbrot set with mapping of the arguments
55-30 reference(s)		Bidimensional Hilbert Curve -iteration 4-
56-29 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
57-28 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)
58-28 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
59-27 reference(s)		A fractal aperiodic Penrose tiling
60-27 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
61-27 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
62-27 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
63-26 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
64-26 reference(s)
Diffusion between two boxes (initial conditions: the left one is empty, the right one contains 256 particles), with collisions and display of the gravity center -white particle-
65-25 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
66-25 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
67-25 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-25 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
69-25 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
70-25 reference(s)		Along the border of the Mandelbrot set
71-24 reference(s)		The Scream -a Tribute to Edvard Munch-
72-24 reference(s)
Autostereogram of Monument Valley
73-24 reference(s)		True colors autostereogram of a fractal landscape
74-24 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
75-24 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-24 reference(s)
The Bonan-Jeener-Klein triple bottle
77-24 reference(s)		Intertwining
78-23 reference(s)		Mystery cliffs at sunrise
79-23 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
80-23 reference(s)
Sunny Monument Valley
81-22 reference(s)		Mountains at sunrise
82-22 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
83-22 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
84-22 reference(s)
Sixteen interlaced fractal torus
85-22 reference(s)		Welcome aboard a Virtual Space-Time Travel Machine
86-22 reference(s)		Untitled 0190
87-21 reference(s)		Foggy Monument Valley
88-21 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
89-21 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
90-21 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
91-21 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
92-20 reference(s)
Monument Valley à la David Hockney
93-20 reference(s)		Fractal 7-foil torus knot
94-20 reference(s)		Tridimensional fractal structure -the space-time foam?-
95-20 reference(s)		From the Möbius strip to the Klein bottle
96-19 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
97-19 reference(s)		A fractal Möbius strip
98-19 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
99-18 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
100-18 reference(s)
An Archimedes spiral displaying 1000 numbers
101-18 reference(s)		The Simpson paradox
102-18 reference(s)		Rotation about the X axis of the Lorenz attractor
103-18 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
104-17 reference(s)
Universe or Multiverse -The fractal Universe-?
105-17 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
106-17 reference(s)		Untitled 0180
107-17 reference(s)		Animation of a sunrise on mountains
108-17 reference(s)
Quark and gluon structure of the meson
109-17 reference(s)		Tridimensional display of the inflationary Universe
110-17 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
111-17 reference(s)		A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
112-17 reference(s)
Exhibition at La Cité des Sciences et de l'Industrie -2000-
113-17 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
114-17 reference(s)		The random walk of photons escaping the Sun
115-16 reference(s)		The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
116-16 reference(s)
Monument Valley à la David Hockney
117-16 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
118-16 reference(s)		Light clouds
119-16 reference(s)		The Lorenz attractor
120-16 reference(s)
Tridimenional display of the Goldbach conjecture
121-16 reference(s)		A fractal hypercube
122-16 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
123-16 reference(s)		The Jeener-Klein triple bottle
124-16 reference(s)
A perfect bidimensional fractal tree and the self-similarity
125-15 reference(s)		Along the border of the Mandelbrot set
126-15 reference(s)		A 'fractal plane' with overhangings defined by means of three bidimensional fields
127-15 reference(s)		Quark and gluon structure of a nucleon
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-catalogue.11
987 reference(s)		2-demo_14
524 reference(s)
3-An2000.01.Fra
406 reference(s)		4-help.
372 reference(s)
5-AQuoiServentLesMathematiques.01
336 reference(s)		6-Fractal.01
317 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
317 reference(s)		8-FaireDeLaRecherche.01.vv
294 reference(s)
9-FloatingPointNumbers.01.Fra
257 reference(s)		10-Stereogrammes_AutoStereogrammes.01
250 reference(s)
11-ComplexiteStructurelle.01
242 reference(s)		12-RealNumbers.01.Fra
235 reference(s)
13-MonodimensionalCellularAutomata.01.Fra
227 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
201 reference(s)
15-GenieLogiciel_VisualisationScientifique.01.vv
200 reference(s)		16-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
199 reference(s)
17-Galerie_ArtisticCreation.FV
198 reference(s)		18-mail.01.vv
187 reference(s)
19-Galerie_NumberTheory.FV
185 reference(s)		20-Galerie_ArtAndScience.FV
185 reference(s)
21-Galerie_GeneralitiesVisualization.FV
183 reference(s)		22-MathematiquesPhysiqueFractales.02
178 reference(s)
23-AProposSite.01.Fra
175 reference(s)		24-infinity.01.vv
174 reference(s)
25-Autostereograms.01.
173 reference(s)		26-SurfaceProjector.01.Ang
171 reference(s)
27-AVirtualSpaceTimeTravelMachine.Fra
171 reference(s)		28-SurfaceProjector.01.Fra
170 reference(s)
29-GoldenTriangle.01.Fra
170 reference(s)		30-Galerie_QuantumMechanics.FV
170 reference(s)
31-ImagesDuVirtuel.01.Fra.FV
169 reference(s)		32-Galerie_NewPictures.FV
169 reference(s)
33-demo
168 reference(s)		34-Informations_AboutPicturesAnimationsAndFiles.01.Ang
168 reference(s)
35-realnumbers
167 reference(s)		36-copyright.01.
167 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
167 reference(s)		38-GenieLogiciel.01.Fra
167 reference(s)
39-an2000
166 reference(s)		40-UlamSpiral.01.Ang
165 reference(s)
41-demo.14
164 reference(s)		42-genielogiciel
163 reference(s)
43-demo14
163 reference(s)		44-ExpV_VirE.11
163 reference(s)
45-DieuScience.01.Fra
162 reference(s)		46-nombresreels
161 reference(s)
47-logiciel
161 reference(s)		48-NatureDesMathematiques.01.vv.Fra
160 reference(s)
49-AnimFractal.01.
159 reference(s)		50-Galerie_DeterministicChaos.FV
157 reference(s)
51-ExpV_VirE.21
157 reference(s)		52-NDimensionalDeterministicFractalSets.01.Fra
156 reference(s)
53-MorePages.
156 reference(s)		54-Fractal.11
156 reference(s)
55-ImpossibleStructures.01.Fra
155 reference(s)		56-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
154 reference(s)
57-Galerie_CelestialMechanics.FV
154 reference(s)		58-Vcatalogue.11
153 reference(s)
59-MathematiquesPhysiqueFractales.22
152 reference(s)		60-FloatingPointNumbers.01.Ang
152 reference(s)
61-OrdinateursEtCalculs.01.Fra
151 reference(s)		62-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
151 reference(s)
63-MonodimensionalCellularAutomata.01.Ang
148 reference(s)		64-Galerie_TextureSynthesis.FV
148 reference(s)
65-Kepler.02.
147 reference(s)		66-ExpV_VirE.Ang
147 reference(s)
67-UlamSpiral.01.Fra
146 reference(s)		68-IllusionConnaissance.02
146 reference(s)
69-Galerie_ParticleSystems.FV
146 reference(s)		70-infinity.02.vv
145 reference(s)
71-Galerie_BestOf.FV
145 reference(s)		72-MathematiquesPhysiqueFractales.01
144 reference(s)
73-GoldenTriangle.01.Ang
144 reference(s)		74-EntrelacsIntertwinings.01.Fra
144 reference(s)
75-RemarquesCerveau.01
143 reference(s)		76-ManyChaos.01.Fra
143 reference(s)
77-Galerie_Astrophysics.FV
143 reference(s)		78-ImpossibleStructures.01.Ang
142 reference(s)
79-ComplexiteStructurelle.02
142 reference(s)		80-Galerie_SignalProcessing.FV
140 reference(s)
81-ManyChaos.01.Ang
139 reference(s)		82-ImagesDuVirtuel.01.Fra
139 reference(s)
83-Galerie_SensitivityToRoundingOffErrors.FV
139 reference(s)		84-Galerie_FluidMechanics.FV
139 reference(s)
85-OrdinateurMathematiquesArt.01.Fra
138 reference(s)		86-EnsembleDesGaleriesFractales.DIAPO.0001
138 reference(s)
87-fractal.01
137 reference(s)		88-EntrelacsIntertwinings.01.Ang
137 reference(s)
89-present.01.
136 reference(s)		90-Fractal.03
136 reference(s)
91-subject.01.
135 reference(s)		92-create.03.
135 reference(s)
93-NombresEtLumiere.01.vv.Fra
135 reference(s)		94-AQuoiServentLesMathematiques.03
133 reference(s)
95-VirtualChaos.01.Fra
132 reference(s)		96-Spheres.01
132 reference(s)
97-PerteDeLAssociativite.01.MUL3
132 reference(s)		98-Commentaires_ModeleIsingBiDimensionnel.01
132 reference(s)
99-MathematiquesEtRepresentations.01.vv.Ang
131 reference(s)		100-Fractal.02
131 reference(s)
101-Commentaires_DefinitionTransformeeDeFourier.01
131 reference(s)		102-VirtualChaos.01.Ang
130 reference(s)
103-MathematiquesModeleOutilArtiste.02.Ang
130 reference(s)		104-LOG_xiMc.11
130 reference(s)
105-AvantPropos.01.Fra
130 reference(s)		106-AvantPropos.01.Ang
130 reference(s)
107-VisitesGaleriesEnfouies.01.Fra
129 reference(s)		108-VisitesGaleriesEnfouies.01.Ang
129 reference(s)
109-ExpV_VirE.01.Fra
129 reference(s)		110-AQuoiServentLesMathematiques.02
129 reference(s)
111-Galerie_Tributes.FV
128 reference(s)		112-ExpV_VirE.01.Ang
128 reference(s)
113-Commentaires_DefinitionComplexes.01
127 reference(s)		114-PerteDeLAssociativite.01
126 reference(s)
115-OrdinateursEtCalculs.01.Ang
126 reference(s)		116-Informations_AboutPicturesAnimationsAndFiles.01.Fra
126 reference(s)
117-Commentaires_NKleinBottle.01
126 reference(s)		118-Commentaires_ProblemeDesNCorps.01
125 reference(s)
119-VisSci_SciVis.02
124 reference(s)		120-PatrimoineHumanite.02.Fra
124 reference(s)
121-MathematiquesEtCinematographe.01.vv
123 reference(s)		122-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
123 reference(s)
123-ArtScience.11.Fra
123 reference(s)		124-QuelquesQuestionsSurLaRecherche.01.Fra
121 reference(s)
125-EnsembleDesGaleries.DIAPO.0001
121 reference(s)		126-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
121 reference(s)
127-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
121 reference(s)		128-Commentaires_DefinitionQuaternions.01
121 reference(s)

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




Copyright © Jean-François COLONNA, 2013-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2024.