Monthly Best Of on 05/28/2013




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 05/28/2013 and last updated on 10/03/2024 17:02:37 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A tridimensional fractal manifold defined by means of three tridimensional fields
1-238 reference(s)		Monument Valley à la David Hockney
2-217 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-198 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-159 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
5-116 reference(s)		A tridimensional cubic mesh defined by means of three tridimensional fields and transformed using the tridimensional life game
6-115 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-
7-105 reference(s)		Autostereogram with an hidden volcano
8-103 reference(s)
Artistic view of the prime numbers
9-99 reference(s)		The random walk of photons escaping the Sun
10-98 reference(s)		Sixteen interlaced torus
11-96 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
12-89 reference(s)
The random walk of photons escaping the Sun
13-80 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
14-78 reference(s)		Zoom in on the von Koch curve
15-76 reference(s)		Tridimensional Hilbert Curve -iteration 3-
16-73 reference(s)
Autostereogram with an hidden volcano
17-69 reference(s)		Autostereogram with an hidden volcano
18-69 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-67 reference(s)		The generalized Ulam spiral
20-65 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-64 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
22-62 reference(s)		Happy new year 2000
23-62 reference(s)		The Jeener-Klein triple bottle
24-61 reference(s)
From the infinitely small to the infinitely big
25-58 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
26-56 reference(s)		Autostereogram with an hidden ring and ghost bows
27-55 reference(s)		Autostereogram with an hidden volcano
28-49 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
29-47 reference(s)		Autostereogram with an hidden volcano
30-46 reference(s)		The Lorenz attractor
31-44 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
32-43 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
33-43 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-
34-43 reference(s)		From Pluto to the Sun (non linear scales)
35-41 reference(s)		A set of 4x3 stereograms of a fractal hypercube
36-39 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
37-38 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
38-36 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-34 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
40-34 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-33 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
42-32 reference(s)		Untitled 0180
43-31 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-31 reference(s)
A tridimensional Möbius-like manifold defined by means of three tridimensional fields
45-31 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
46-31 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
47-30 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
48-29 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
49-29 reference(s)		The Scream -a Tribute to Edvard Munch-
50-29 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
51-29 reference(s)		Tridimensional display of the inflationary Universe
52-29 reference(s)
Mountains at sunrise
53-28 reference(s)		A shell (Jeener surface 1)in motion
54-28 reference(s)		Quantum vacuum fluctuations
55-27 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
56-27 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
57-26 reference(s)		Quark and gluon structure of a nucleon
58-26 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
59-25 reference(s)		An aperiodic Penrose tiling of the plane
60-25 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)
61-25 reference(s)		Rotation about the X axis of the Lorenz attractor
62-25 reference(s)		Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
63-25 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
64-25 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
65-25 reference(s)		Light clouds
66-24 reference(s)		The generalized Ulam spiral displaying 1024 numbers
67-23 reference(s)		Mystery mountain at sunrise
68-23 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
69-23 reference(s)		Autostereogram of Monument Valley
70-22 reference(s)		True colors autostereogram of a fractal landscape
71-22 reference(s)		Hypercube
72-22 reference(s)
Untitled 0184
73-22 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
74-22 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
75-21 reference(s)		The Bonan-Jeener-Klein triple bottle
76-21 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
77-21 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
78-20 reference(s)		The generalized Ulam spiral displaying 100 numbers
79-20 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
80-20 reference(s)
A perfect bidimensional fractal tree and the self-similarity
81-19 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
82-19 reference(s)		Foggy Monument Valley
83-19 reference(s)		Mystery cliffs at sunrise
84-19 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
85-19 reference(s)		A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
86-19 reference(s)		A set of 4x3 stereograms of a tridimensional fractal structure
87-19 reference(s)		An interpolation between a 'double sphere' and a cylinder
88-18 reference(s)
Mountains at sunrise
89-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
90-18 reference(s)		Bidimensional Hilbert Curve -iteration 4-
91-18 reference(s)		Fractal Notre-Dame de la Garde, Marseilles
92-18 reference(s)
A fractal hypercube
93-18 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
94-18 reference(s)		An aperiodic Penrose tiling of the plane
95-17 reference(s)		An aperiodic Penrose tiling of the plane
96-17 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
97-17 reference(s)		A set of 4x3 stereograms of a few Babel Towers
98-17 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
99-17 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
100-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
101-17 reference(s)		Quantum vacuum fluctuations
102-16 reference(s)		Artistic view of the Big Bang
103-16 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
104-16 reference(s)
Kasner billiard: Time-dependent billiard (from negative curvatures to positive curvature)with one particle
105-16 reference(s)		Monument Valley à la David Hockney
106-16 reference(s)		Quark and gluon structure of a nucleon
107-16 reference(s)		A set of 4x3 stereograms of a close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
108-16 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
109-16 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
110-16 reference(s)		The Goldbach conjecture -the Goldbach glacier- for the even numbers from 6 to 1564
111-16 reference(s)		Anaglyph -blue=right, red=left- of a fractal-fractal tree
112-16 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
113-16 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
114-16 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
115-16 reference(s)		The self-similarity of the von Koch curve displayed by means of a zoom in with a ratio that is equal to 3
116-15 reference(s)
Along the border of the Mandelbrot set
117-15 reference(s)		A pay slip
118-15 reference(s)		An interpolation between a rectangle and a torus
119-15 reference(s)		From the Möbius strip to the Klein bottle
120-15 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
121-15 reference(s)		Botticelli anomaly on the Moon
122-15 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
123-15 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
124-15 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
125-15 reference(s)		Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
126-15 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
127-15 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
526 reference(s)		2-An2000.01.Fra
482 reference(s)
3-help.
339 reference(s)		4-AQuoiServentLesMathematiques.01
298 reference(s)
5-Fractal.01
293 reference(s)		6-AVirtualSpaceTimeTravelMachine.Ang
292 reference(s)
7-Stereogrammes_AutoStereogrammes.01
288 reference(s)		8-FloatingPointNumbers.01.Fra
286 reference(s)
9-FaireDeLaRecherche.01.vv
246 reference(s)		10-RealNumbers.01.Fra
239 reference(s)
11-MonodimensionalCellularAutomata.01.Fra
206 reference(s)		12-GenieLogiciel_VisualisationScientifique.01.vv
189 reference(s)
13-MathematiquesPhysiqueFractales.02
188 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
188 reference(s)
15-Galerie_ArtisticCreation.FV
188 reference(s)		16-Galerie_NumberTheory.FV
186 reference(s)
17-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
185 reference(s)		18-mail.01.vv
182 reference(s)
19-Galerie_GeneralitiesVisualization.FV
182 reference(s)		20-NatureDesMathematiques.01.vv.Fra
176 reference(s)
21-GenieLogiciel.01.Fra
175 reference(s)		22-Galerie_NewPictures.FV
175 reference(s)
23-copyright.01.
170 reference(s)		24-UlamSpiral.01.Ang
170 reference(s)
25-SurfaceProjector.01.Fra
168 reference(s)		26-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
168 reference(s)
27-Galerie_ArtAndScience.FV
168 reference(s)		28-MathematiquesPhysiqueFractales.22
166 reference(s)
29-SurfaceProjector.01.Ang
164 reference(s)		30-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
164 reference(s)
31-catalogue.11
162 reference(s)		32-GoldenTriangle.01.Fra
162 reference(s)
33-ExpV_VirE.21
161 reference(s)		34-Galerie_ParticleSystems.FV
160 reference(s)
35-AProposSite.01.Fra
160 reference(s)		36-Galerie_QuantumMechanics.FV
159 reference(s)
37-EntrelacsIntertwinings.01.Fra
159 reference(s)		38-UlamSpiral.01.Fra
158 reference(s)
39-DieuScience.01.Fra
158 reference(s)		40-infinity.01.vv
157 reference(s)
41-realnumbers
154 reference(s)		42-demo
154 reference(s)
43-MonodimensionalCellularAutomata.01.Ang
154 reference(s)		44-Autostereograms.01.
154 reference(s)
45-AVirtualSpaceTimeTravelMachine.Fra
154 reference(s)		46-Fractal.11
153 reference(s)
47-ExpV_VirE.11
153 reference(s)		48-NDimensionalDeterministicFractalSets.01.Ang
152 reference(s)
49-nombresreels
151 reference(s)		50-logiciel
151 reference(s)
51-demo.14
151 reference(s)		52-MorePages.
151 reference(s)
53-genielogiciel
150 reference(s)		54-NDimensionalDeterministicFractalSets.01.Fra
150 reference(s)
55-Informations_AboutPicturesAnimationsAndFiles.01.Ang
150 reference(s)		56-demo14
149 reference(s)
57-an2000
149 reference(s)		58-OrdinateursEtCalculs.01.Fra
149 reference(s)
59-ImpossibleStructures.01.Fra
149 reference(s)		60-IllusionConnaissance.02
148 reference(s)
61-NombresEtLumiere.01.vv.Fra
147 reference(s)		62-GoldenTriangle.01.Ang
147 reference(s)
63-Galerie_CelestialMechanics.FV
147 reference(s)		64-OrdinateurMathematiquesArt.01.Fra
146 reference(s)
65-ImagesDuVirtuel.01.Fra.FV
146 reference(s)		66-Galerie_TextureSynthesis.FV
146 reference(s)
67-AnimFractal.01.
146 reference(s)		68-infinity.02.vv
145 reference(s)
69-Galerie_Astrophysics.FV
145 reference(s)		70-FloatingPointNumbers.01.Ang
145 reference(s)
71-Kepler.02.
143 reference(s)		72-Galerie_BestOf.FV
143 reference(s)
73-EntrelacsIntertwinings.01.Ang
143 reference(s)		74-Galerie_DeterministicChaos.FV
142 reference(s)
75-Fractal.03
142 reference(s)		76-RemarquesCerveau.01
141 reference(s)
77-ImpossibleStructures.01.Ang
140 reference(s)		78-Commentaires_ModeleIsingBiDimensionnel.01
140 reference(s)
79-MathematiquesPhysiqueFractales.01
139 reference(s)		80-EnsembleDesGaleriesFractales.DIAPO.0001
138 reference(s)
81-Galerie_SignalProcessing.FV
136 reference(s)		82-create.03.
135 reference(s)
83-subject.01.
134 reference(s)		84-Galerie_SensitivityToRoundingOffErrors.FV
134 reference(s)
85-Galerie_FluidMechanics.FV
134 reference(s)		86-VisitesGaleriesEnfouies.01.Fra
133 reference(s)
87-MathematiquesModeleOutilArtiste.02.Ang
133 reference(s)		88-ManyChaos.01.Fra
133 reference(s)
89-ManyChaos.01.Ang
132 reference(s)		90-present.01.
131 reference(s)
91-VirtualChaos.01.Fra
131 reference(s)		92-Commentaires_DefinitionComplexes.01
131 reference(s)
93-VisitesGaleriesEnfouies.01.Ang
130 reference(s)		94-PerteDeLAssociativite.01.MUL3
130 reference(s)
95-LOG_xiMc.11
130 reference(s)		96-VirtualChaos.01.Ang
129 reference(s)
97-PerteDeLAssociativite.01
129 reference(s)		98-MathematiquesEtCinematographe.01.vv
129 reference(s)
99-ExpV_VirE.01.Fra
129 reference(s)		100-Commentaires_DefinitionTransformeeDeFourier.01
128 reference(s)
101-QuelquesQuestionsSurLaRecherche.01.Fra
127 reference(s)		102-MathematiquesEtRepresentations.01.vv.Ang
127 reference(s)
103-EnsembleDesGaleries.DIAPO.0001
127 reference(s)		104-Spheres.01
126 reference(s)
105-PatrimoineHumanite.02.Fra
126 reference(s)		106-Galerie_SignalProcessing
126 reference(s)
107-VisSci_SciVis.02
125 reference(s)		108-Informations_AboutPicturesAnimationsAndFiles.01.Fra
125 reference(s)
109-ImagesDuVirtuel.01.Fra
125 reference(s)		110-Commentaires_DefinitionQuaternions.01
125 reference(s)
111-AvantPropos.01.Fra
125 reference(s)		112-PerteDeLAssociativite.01.ADD3
124 reference(s)
113-Galerie_Tributes.FV
124 reference(s)		114-AvantPropos.01.Ang
124 reference(s)
115-ArtScience.11.Fra
124 reference(s)		116-AQuoiServentLesMathematiques.03
124 reference(s)
117-AQuoiServentLesMathematiques.02
123 reference(s)		118-Fractal.02
122 reference(s)
119-Commentaires_ModeleIsingTriDimensionnel.01
122 reference(s)		120-Informations_GoodNewsAndBadNews.01.Fra
121 reference(s)
121-Commentaires_ProblemeDesNCorps.01
121 reference(s)		122-HommageBenoitMandelbrot.21
120 reference(s)
123-ExpV_VirE.01.Ang
120 reference(s)		124-Vcatalogue.11
119 reference(s)
125-IllusionConnaissance.01
119 reference(s)		126-ExpV_VirE.Ang
119 reference(s)
127-LumiereVirtuelleParadoxale.01
118 reference(s)		128-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
117 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.