Monthly Best Of on 04/28/2014




A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 04/28/2014 and last updated on 11/14/2023 17:48:30 -CET-)




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
1-714 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-581 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-534 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)
4-531 reference(s)
Sixteen interlaced torus
5-502 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
6-371 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-
7-340 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
8-236 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-179 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-175 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
11-153 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
12-152 reference(s)
The random walk of photons escaping the Sun
13-149 reference(s)		 Autostereogram with an hidden volcano
14-147 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
15-137 reference(s)		 The generalized Ulam spiral
16-126 reference(s)
Happy new year 2000
17-120 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
18-118 reference(s)		 The 126.646 first digits -base 6- of 'phi' -the golden ratio- displayed as an 'absolute' tridimensional random walk
19-112 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
20-111 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
21-106 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
22-104 reference(s)		 Artistic view of the prime numbers
23-103 reference(s)		 The random walk of photons escaping the Sun
24-102 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
25-102 reference(s)		 The 126.646 first digits -base 6- of the square root of 2 - displayed as an 'absolute' tridimensional random walk
26-100 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
27-99 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
28-98 reference(s)
Autostereogram with an hidden volcano
29-97 reference(s)		 Autostereogram with an hidden volcano
30-95 reference(s)		 The Lorenz attractor
31-93 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-90 reference(s)
Bidimensional Hilbert Curve -iteration 4-
33-89 reference(s)		 Zoom in on the von Koch curve
34-84 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
35-76 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-73 reference(s)
Quantum vacuum fluctuations
37-72 reference(s)		 A fractal double helix
38-69 reference(s)		 Monument Valley à la David Hockney
39-68 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
40-68 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
41-67 reference(s)		 The Jeener-Klein triple bottle
42-64 reference(s)		 Quantum vacuum fluctuations
43-61 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
44-60 reference(s)
Botticelli anomaly on the Moon
45-58 reference(s)		 Autostereogram with an hidden ring and ghost bows
46-57 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
47-54 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
48-53 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
49-52 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
50-52 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
51-52 reference(s)		 The Scream -a Tribute to Edvard Munch-
52-50 reference(s)
Quark and gluon structure of a nucleon
53-50 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
54-49 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
55-49 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
56-47 reference(s)
From Pluto to the Sun (non linear scales)
57-44 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
58-44 reference(s)		 Where is the Multiverse?
59-43 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
60-42 reference(s)
Animation of a sunrise on mountains
61-42 reference(s)		 The Bonan-Jeener-Klein triple bottle
62-42 reference(s)		 Where is the Universe?
63-41 reference(s)		 True colors autostereogram of a fractal landscape
64-40 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
65-40 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
66-39 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
67-38 reference(s)		 Sixteen interlaced fractal torus
68-38 reference(s)
Quark and gluon structure of a nucleon
69-37 reference(s)		 A fractal hypercube
70-37 reference(s)		 From the infinitely small to the infinitely big
71-37 reference(s)		 An aperiodic Penrose tiling of the plane
72-36 reference(s)
Untitled 0205
73-35 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
74-35 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
75-35 reference(s)		 Hypercube
76-35 reference(s)
Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
77-35 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
78-34 reference(s)		 Autostereogram with an hidden volcano
79-33 reference(s)		 Autostereogram with an hidden volcano
80-33 reference(s)
An Archimedes spiral displaying 10000 numbers
81-33 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
82-33 reference(s)		 Tridimensional fractal structure -the space-time foam?-
83-33 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
84-33 reference(s)
The Lorenz attractor
85-32 reference(s)		 From a sphere to the Boy surface
86-32 reference(s)		 Pseudo Olympic Rings
87-31 reference(s)		 Autostereogram of Monument Valley
88-31 reference(s)
Universe or Multiverse -The fractal Universe-?
89-30 reference(s)		 A set of 4x3 stereograms of a fractal hypercube
90-30 reference(s)		 Artistic variation on a tridimensional fractal cross -iteration 2-
91-30 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
92-30 reference(s)
Animation of a natural form
93-29 reference(s)		 Fractal natural form
94-29 reference(s)		 Untitled 0202 -a Tribute to Henri Matisse-
95-29 reference(s)		 An Archimedes spiral displaying 100000 numbers
96-29 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
97-29 reference(s)		 The fire of life -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
98-29 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
99-29 reference(s)		 Along the border of the Mandelbrot set
100-28 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
101-28 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
102-27 reference(s)		 An Archimedes spiral displaying 50000 numbers
103-27 reference(s)		 Artistic view of the Big Bang
104-26 reference(s)
An Archimedes spiral displaying 1000 numbers
105-26 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
106-25 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
107-25 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
108-25 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
109-25 reference(s)		 Fractal 7-foil torus knot
110-25 reference(s)		 A fractal Möbius strip
111-25 reference(s)		 The tower -a Tribute to Vladimir Tatline-
112-25 reference(s)
An aperiodic Penrose tiling of the plane
113-24 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
114-24 reference(s)		 A punched paper tape
115-24 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
116-24 reference(s)
A Part of the DNA double helix -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
117-24 reference(s)		 The iterative process used to generate fractal mountains (16 iterations)
118-24 reference(s)		 Snowy Rocky Mountains
119-24 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
120-24 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
121-24 reference(s)		 An Archimedes spiral displaying 5000 numbers
122-23 reference(s)		 The generalized Ulam spiral displaying 100 numbers
123-23 reference(s)		 Botticelli anomaly on the Moon
124-23 reference(s)
From Pluto to the Sun -extrapolation 2-
125-23 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
126-23 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
127-23 reference(s)		 display of the Lyapunov exponent computed for different iteration numbers of a Julia set
128-23 reference(s)




2-The 128 most referenced Pages (*):

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



1-Fractal.01
589 reference(s)		 2-demo_14
498 reference(s)
3-An2000.01.Fra
416 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Ang
347 reference(s)
5-AQuoiServentLesMathematiques.01
337 reference(s)		 6-Galerie_ArtAndScience.FV
311 reference(s)
7-FloatingPointNumbers.01.Fra
308 reference(s)		 8-Stereogrammes_AutoStereogrammes.01
292 reference(s)
9-fractal.01
290 reference(s)		 10-help.
284 reference(s)
11-aquoiserventlesmathematiques.01
256 reference(s)		 12-FaireDeLaRecherche.01.vv
254 reference(s)
13-RealNumbers.01.Fra
238 reference(s)		 14-Galerie_DeterministicFractalGeometry.FV
229 reference(s)
15-MathematiquesPhysiqueFractales.02
222 reference(s)		 16-UlamSpiral.01.Fra
221 reference(s)
17-copyright.01.
218 reference(s)		 18-AVirtualSpaceTimeTravelMachine.Fra
210 reference(s)
19-Galerie_NumberTheory.FV
199 reference(s)		 20-Galerie_NewPictures.FV
198 reference(s)
21-GenieLogiciel_VisualisationScientifique.01.vv
196 reference(s)		 22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
193 reference(s)
23-Galerie_ArtisticCreation.FV
188 reference(s)		 24-catalogue.11
187 reference(s)
25-Galerie_GeneralitiesVisualization.FV
185 reference(s)		 26-AProposSite.01.Fra
184 reference(s)
27-SurfaceProjector.01.Ang
180 reference(s)		 28-mail.01.vv
177 reference(s)
29-DieuScience.01.Fra
176 reference(s)		 30-MonodimensionalCellularAutomata.01.Fra
175 reference(s)
31-FloatingPointNumbers.01.Ang
174 reference(s)		 32-Autostereograms.01.
174 reference(s)
33-Galerie_CelestialMechanics.FV
173 reference(s)		 34-MorePages.
171 reference(s)
35-SurfaceProjector.01.Fra
170 reference(s)		 36-Informations_AboutPicturesAnimationsAndFiles.01.Ang
170 reference(s)
37-Galerie_Astrophysics.FV
170 reference(s)		 38-ExpV_VirE.11
169 reference(s)
39-fairedelarecherche.01.vv
166 reference(s)		 40-Galerie_QuantumMechanics.FV
165 reference(s)
41-Galerie_DeterministicChaos.FV
165 reference(s)		 42-Fractal.11
164 reference(s)
43-OrdinateursEtCalculs.01.Fra
163 reference(s)		 44-MathematiquesPhysiqueFractales.01
163 reference(s)
45-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
162 reference(s)		 46-NDimensionalDeterministicFractalSets.01.Ang
159 reference(s)
47-AnimFractal.01.
159 reference(s)		 48-OrdinateurMathematiquesArt.01.Fra
158 reference(s)
49-GoldenTriangle.01.Fra
158 reference(s)		 50-infinity.02.vv
157 reference(s)
51-infinity.01.vv
157 reference(s)		 52-ImagesDuVirtuel.01.Fra.FV
156 reference(s)
53-ExpV_VirE.Ang
156 reference(s)		 54-NombresEtLumiere.01.vv.Fra
155 reference(s)
55-NatureDesMathematiques.01.vv.Fra
155 reference(s)		 56-demo
154 reference(s)
57-EntrelacsIntertwinings.01.Ang
152 reference(s)		 58-realnumbers
151 reference(s)
59-nombresreels
151 reference(s)		 60-genielogiciel
151 reference(s)
61-demo14
151 reference(s)		 62-an2000
151 reference(s)
63-NDimensionalDeterministicFractalSets.01.Fra
151 reference(s)		 64-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
151 reference(s)
65-GenieLogiciel.01.Fra
151 reference(s)		 66-logiciel
150 reference(s)
67-UlamSpiral.01.Ang
150 reference(s)		 68-LOG_xiMc.11
150 reference(s)
69-AvantPropos.01.Fra
149 reference(s)		 70-Galerie_SensitivityToRoundingOffErrors.FV
148 reference(s)
71-demo.14
147 reference(s)		 72-VisitesGaleriesEnfouies.01.Fra
147 reference(s)
73-RemarquesCerveau.01
147 reference(s)		 74-ImpossibleStructures.01.Ang
147 reference(s)
75-Galerie_SignalProcessing.FV
147 reference(s)		 76-Kepler.02.
146 reference(s)
77-GoldenTriangle.01.Ang
146 reference(s)		 78-EntrelacsIntertwinings.01.Fra
146 reference(s)
79-LesApprentisDieux.01
145 reference(s)		 80-Fractal.03
145 reference(s)
81-ExpV_VirE.21
145 reference(s)		 82-MathematiquesPhysiqueFractales.22
144 reference(s)
83-Informations_GoodNewsAndBadNews.01.Fra
144 reference(s)		 84-IllusionConnaissance.02
144 reference(s)
85-Galerie_TextureSynthesis.FV
144 reference(s)		 86-MonodimensionalCellularAutomata.01.Ang
143 reference(s)
87-EnsembleDesGaleriesFractales.DIAPO.0001
143 reference(s)		 88-MathematiquesEtRepresentations.01.vv.Ang
142 reference(s)
89-subject.01.
141 reference(s)		 90-Fractal.02
141 reference(s)
91-OrdinateursEtCalculs.01.Ang
140 reference(s)		 92-Galerie_ParticleSystems.FV
140 reference(s)
93-present.01.
139 reference(s)		 94-create.03.
139 reference(s)
95-VirtualChaos.01.Ang
139 reference(s)		 96-MathematiquesModeleOutilArtiste.02.Ang
138 reference(s)
97-Galerie_Tributes.FV
138 reference(s)		 98-Galerie_ImagesDesMathematiques.FV
138 reference(s)
99-Galerie_FluidMechanics.FV
138 reference(s)		 100-PerteDeLAssociativite.01
137 reference(s)
101-PatrimoineHumanite.02.Fra
137 reference(s)		 102-Galerie_BestOf.FV
137 reference(s)
103-EnsembleDesGaleries.DIAPO.0001
137 reference(s)		 104-Informations_AboutPicturesAnimationsAndFiles.01.Fra
136 reference(s)
105-ImpossibleStructures.01.Fra
136 reference(s)		 106-ArtScience.11.Fra
135 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
134 reference(s)		 108-ManyChaos.01.Ang
133 reference(s)
109-AvantPropos.01.Ang
133 reference(s)		 110-VirtualChaos.01.Fra
132 reference(s)
111-ImagesDuVirtuel.01.Fra
132 reference(s)		 112-DuModeleALImage.02.Fra
131 reference(s)
113-MathematiquesEtCinematographe.01.vv
130 reference(s)		 114-ManyChaos.01.Fra
130 reference(s)
115-Spheres.01
129 reference(s)		 116-QuelquesQuestionsSurLaRecherche.01.Fra
128 reference(s)
117-HommageBenoitMandelbrot.21
128 reference(s)		 118-Commentaires_ProblemeDesNCorps.01
128 reference(s)
119-VisSci_SciVis.02
123 reference(s)		 120-ExpV_VirE.01.Fra
122 reference(s)
121-ExpV_VirE.Fra
120 reference(s)		 122-ArtOrdinateur.01
120 reference(s)
123-An2000.06.Fra
120 reference(s)		 124-An2000.01.Ang
120 reference(s)
125-Commentaires_NKleinBottle.02
118 reference(s)		 126-Vcatalogue.11
117 reference(s)
127-ExpV_VirE.01.Ang
117 reference(s)		 128-Commentaires_NKleinBottle.01
117 reference(s)

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




Copyright © Jean-François COLONNA, 2014-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2014-2023.