Monthly Best Of on 01/28/2015




Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process

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 01/28/2015 and last updated on 11/14/2023 17:48:39 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Quantum vacuum fluctuations
1-1328 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-1005 reference(s)		 Happy new year 2000
3-505 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
4-458 reference(s)
The random walk of photons escaping the Sun
5-408 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-360 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
7-326 reference(s)		 The random walk of photons escaping the Sun
8-307 reference(s)
Tridimensional Hilbert Curve -iteration 3-
9-241 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
10-219 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-206 reference(s)		 Autostereogram with an hidden volcano
12-193 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
13-191 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-191 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
15-168 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
16-145 reference(s)
Autostereogram with an hidden volcano
17-121 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
18-116 reference(s)		 Sixteen interlaced torus
19-100 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
20-94 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-93 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-93 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-84 reference(s)		 The Jeener-Klein triple bottle
24-84 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-80 reference(s)		 Artistic view of the prime numbers
26-77 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
27-76 reference(s)		 An aperiodic Penrose tiling of the plane
28-72 reference(s)
Sixteen interlaced fractal torus
29-68 reference(s)		 True colors autostereogram of a fractal landscape
30-63 reference(s)		 Quark and gluon structure of a nucleon
31-61 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-60 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
33-57 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
34-56 reference(s)		 The generalized Ulam spiral
35-56 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
36-55 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
37-54 reference(s)		 The Scream -a Tribute to Edvard Munch-
38-53 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
39-52 reference(s)		 Hypercube
40-51 reference(s)
Autostereogram with an hidden volcano
41-49 reference(s)		 Autostereogram with an hidden ring and ghost bows
42-49 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
43-49 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
44-48 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
45-47 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
46-47 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
47-47 reference(s)		 The Lorenz attractor
48-45 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-44 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
50-44 reference(s)		 Autostereogram of Monument Valley
51-43 reference(s)		 Animation of a sunrise on mountains
52-43 reference(s)
A fractal hypercube
53-43 reference(s)		 Tridimensional fractal structure -the space-time foam?-
54-43 reference(s)		 Autostereogram with an hidden volcano
55-42 reference(s)		 From the infinitely small to the infinitely big
56-42 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
57-41 reference(s)		 Mountains at sunrise
58-41 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)
59-41 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
60-41 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
61-40 reference(s)		 The Bonan-Jeener-Klein triple bottle
62-40 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
63-39 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
64-38 reference(s)
Autostereogram with an hidden volcano
65-37 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis and with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space-tridimensional cross-section-
66-37 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
67-37 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
68-36 reference(s)
A set of 4x3 stereograms of a fractal hypercube
69-36 reference(s)		 The Jeener-Klein triple bottle
70-36 reference(s)		 Untitled 0223
71-35 reference(s)		 A tridimensional Möbius-like manifold defined by means of three tridimensional fields
72-34 reference(s)
The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
73-34 reference(s)		 Close-up on a foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis and with a tridimensional non linear transformation in the pseudo-octonionic space -tridimensional cross-section-
74-34 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
75-34 reference(s)		 Artistic view of the Big Bang
76-33 reference(s)
Untitled 0155 -a Tribute to Yves Tanguy-
77-33 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
78-33 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
79-31 reference(s)		 Artistic display of a Sudoku grid
80-31 reference(s)
Recursive intertwining
81-31 reference(s)		 Fractal natural form
82-31 reference(s)		 Quark and gluon structure of a nucleon
83-31 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
84-31 reference(s)
The tower -a Tribute to Vladimir Tatline-
85-31 reference(s)		 Botticelli anomaly on the Moon
86-30 reference(s)		 Quantum vacuum fluctuation dynamics
87-29 reference(s)		 An Archimedes spiral displaying 50000 numbers
88-29 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
89-29 reference(s)		 Bidimensional zoom in on the Mandelbrot set
90-29 reference(s)		 The bidimensional John Conway's life game
91-29 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-
92-29 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-29 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
94-28 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
95-28 reference(s)		 A fractal aperiodic Penrose tiling
96-28 reference(s)
A shell (Jeener surface 1)in motion
97-28 reference(s)		 Hell on Earth -a Tribute to the seventeen victims of the attacks in January 2015, Paris-
98-28 reference(s)		 An aperiodic Penrose tiling of the plane
99-27 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
100-27 reference(s)
A punched paper tape
101-27 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
102-27 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
103-27 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
104-27 reference(s)
Fractal 7-foil torus knot
105-27 reference(s)		 Sunny Monument Valley
106-26 reference(s)		 The two subdivisions of the 'flat' Golden Triangle
107-25 reference(s)		 Along the border of the Mandelbrot set
108-25 reference(s)
The random walk of photons escaping the Sun
109-25 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
110-25 reference(s)		 The generalized Ulam spiral displaying 100 numbers
111-25 reference(s)		 Close-up on a foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis and with a tridimensional non linear transformation in the pseudo-octonionic space -tridimensional cross-section-
112-25 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
113-25 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
114-25 reference(s)		 A fractal Möbius strip
115-25 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
116-25 reference(s)
Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus
117-25 reference(s)		 Generation of the 63 first Conway's surreal numbers
118-24 reference(s)		 Intertwining
119-24 reference(s)		 Monument Valley à la David Hockney
120-24 reference(s)
Quantum vacuum fluctuations
121-23 reference(s)		 An Archimedes spiral displaying 5000 numbers
122-23 reference(s)		 The generalized Ulam spiral displaying 2025 numbers
123-23 reference(s)		 From Pluto to the Sun (non linear scales)
124-23 reference(s)
The Möbius strip
125-23 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
126-23 reference(s)		 Artistic view of a quaternionic Julia set -tridimensional cross-section-
127-23 reference(s)		 Electron-positron scattering
128-23 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
515 reference(s)		 2-An2000.01.Fra
395 reference(s)
3-Galerie_Tributes.FV
357 reference(s)		 4-help.
336 reference(s)
5-Stereogrammes_AutoStereogrammes.01
322 reference(s)		 6-GenieLogiciel_VisualisationScientifique.01.vv
303 reference(s)
7-Fractal.01
295 reference(s)		 8-AVirtualSpaceTimeTravelMachine.Ang
287 reference(s)
9-Informations_GoodNewsAndBadNews.01.Fra
283 reference(s)		 10-FloatingPointNumbers.01.Fra
274 reference(s)
11-AQuoiServentLesMathematiques.01
267 reference(s)		 12-AVirtualSpaceTimeTravelMachine.Fra
234 reference(s)
13-MathematiquesPhysiqueFractales.02
232 reference(s)		 14-FaireDeLaRecherche.01.vv
231 reference(s)
15-RealNumbers.01.Fra
226 reference(s)		 16-Galerie_DeterministicFractalGeometry.FV
225 reference(s)
17-Galerie_NumberTheory.FV
214 reference(s)		 18-GoldenTriangle.01.Fra
199 reference(s)
19-copyright.01.
198 reference(s)		 20-mail.01.vv
196 reference(s)
21-fractal.01
193 reference(s)		 22-MorePages.
193 reference(s)
23-Galerie_ArtisticCreation.FV
192 reference(s)		 24-MathematiquesPhysiqueFractales.22
184 reference(s)
25-AProposSite.01.Fra
182 reference(s)		 26-UlamSpiral.01.Fra
181 reference(s)
27-NDimensionalDeterministicFractalSets.01.Fra
181 reference(s)		 28-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
181 reference(s)
29-SurfaceProjector.01.Fra
180 reference(s)		 30-Galerie_ArtAndScience.FV
180 reference(s)
31-Galerie_CelestialMechanics.FV
177 reference(s)		 32-ImagesDuVirtuel.01.Fra.FV
172 reference(s)
33-Fractal.11
172 reference(s)		 34-EntrelacsIntertwinings.01.Fra
172 reference(s)
35-Galerie_GeneralitiesVisualization.FV
168 reference(s)		 36-Galerie_NewPictures.FV
165 reference(s)
37-LOG_xiMc.11
164 reference(s)		 38-ExpV_VirE.11
163 reference(s)
39-AnimFractal.01.
163 reference(s)		 40-EntrelacsIntertwinings.01.Ang
162 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
161 reference(s)		 42-Kepler.02.
161 reference(s)
43-Informations_AboutPicturesAnimationsAndFiles.01.Ang
161 reference(s)		 44-Galerie_QuantumMechanics.FV
161 reference(s)
45-Autostereograms.01.
161 reference(s)		 46-catalogue.11
160 reference(s)
47-NDimensionalDeterministicFractalSets.01.Ang
160 reference(s)		 48-infinity.01.vv
159 reference(s)
49-fairedelarecherche.01.vv
159 reference(s)		 50-DieuScience.01.Fra
158 reference(s)
51-present.01.
157 reference(s)		 52-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
155 reference(s)
53-Galerie_DeterministicChaos.FV
155 reference(s)		 54-realnumbers
154 reference(s)
55-demo
154 reference(s)		 56-an2000
154 reference(s)
57-OrdinateursEtCalculs.01.Fra
154 reference(s)		 58-NombresEtLumiere.01.vv.Fra
154 reference(s)
59-MonodimensionalCellularAutomata.01.Fra
153 reference(s)		 60-ExpV_VirE.21
153 reference(s)
61-nombresreels
152 reference(s)		 62-logiciel
152 reference(s)
63-genielogiciel
152 reference(s)		 64-demo14
152 reference(s)
65-demo.14
152 reference(s)		 66-MonodimensionalCellularAutomata.01.Ang
151 reference(s)
67-infinity.02.vv
150 reference(s)		 68-Galerie_SignalProcessing.FV
150 reference(s)
69-NatureDesMathematiques.01.vv.Fra
149 reference(s)		 70-Galerie_TextureSynthesis.FV
149 reference(s)
71-Galerie_BestOf.FV
149 reference(s)		 72-SurfaceProjector.01.Ang
147 reference(s)
73-OrdinateurMathematiquesArt.01.Fra
147 reference(s)		 74-Spheres.01
146 reference(s)
75-ManyChaos.01.Fra
146 reference(s)		 76-Galerie_Astrophysics.FV
146 reference(s)
77-Galerie_ParticleSystems.FV
145 reference(s)		 78-DuModeleALImage.02.Fra
145 reference(s)
79-Fractal.03
141 reference(s)		 80-FloatingPointNumbers.01.Ang
141 reference(s)
81-ExpV_VirE.Ang
141 reference(s)		 82-GoldenTriangle.01.Ang
140 reference(s)
83-GenieLogiciel.01.Fra
139 reference(s)		 84-RemarquesCerveau.01
138 reference(s)
85-PatrimoineHumanite.02.Fra
138 reference(s)		 86-ImpossibleStructures.01.Ang
138 reference(s)
87-VisitesGaleriesEnfouies.01.Fra
137 reference(s)		 88-EnsembleDesGaleries.DIAPO.0001
137 reference(s)
89-MathematiquesPhysiqueFractales.01
136 reference(s)		 90-IllusionConnaissance.02
135 reference(s)
91-Galerie_SensitivityToRoundingOffErrors.FV
135 reference(s)		 92-subject.01.
134 reference(s)
93-AvantPropos.01.Fra
134 reference(s)		 94-AvantPropos.01.Ang
134 reference(s)
95-LesApprentisDieux.01
133 reference(s)		 96-Vcatalogue.11
132 reference(s)
97-VirtualChaos.01.Fra
131 reference(s)		 98-UlamSpiral.01.Ang
131 reference(s)
99-ImpossibleStructures.01.Fra
131 reference(s)		 100-PerteDeLAssociativite.01
130 reference(s)
101-MathematiquesModeleOutilArtiste.02.Ang
130 reference(s)		 102-MathematiquesEtCinematographe.01.vv
130 reference(s)
103-EnsembleDesGaleriesFractales.DIAPO.0001
129 reference(s)		 104-create.03.
127 reference(s)
105-Informations_AboutPicturesAnimationsAndFiles.01.Fra
126 reference(s)		 106-aquoiserventlesmathematiques.01
125 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
125 reference(s)		 108-ManyChaos.01.Ang
125 reference(s)
109-Fractal.02
125 reference(s)		 110-Commentaires_NKleinBottle.01
125 reference(s)
111-Galerie_FluidMechanics.FV
124 reference(s)		 112-ExpV_VirE.01.Fra
123 reference(s)
113-MathematiquesEtRepresentations.01.vv.Ang
122 reference(s)		 114-OrdinateursEtCalculs.01.Ang
120 reference(s)
115-VirtualChaos.01.Ang
119 reference(s)		 116-ExpV_VirE.01.Ang
119 reference(s)
117-QuelquesQuestionsSurLaRecherche.01.Fra
117 reference(s)		 118-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
117 reference(s)
119-Informations_GoodNewsAndBadNews.01.Ang
115 reference(s)		 120-ImagesDuVirtuel.01.Fra
115 reference(s)
121-An2000.01.Ang
115 reference(s)		 122-AQuoiServentLesMathematiques.03
115 reference(s)
123-xrq_____hydrogene.61.K.
113 reference(s)		 124-Galerie_GeneralitiesVisualization.DIAPO.0094
112 reference(s)
125-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
112 reference(s)		 126-Commentaires_DefinitionQuaternions.01
112 reference(s)
127-An2000.05.Fra
112 reference(s)		 128-Galeries.01.vv
111 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2023.