Monthly Best Of on 07/28/2015




The Lorenz attractor (computed with the Euler method)

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 pas 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 more than 10.000 pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 07/28/2015 and last updated on 10/03/2024 17:03:03 -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-
1-571 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-430 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
3-326 reference(s)		Hypercube
4-235 reference(s)
Tridimensional Hilbert Curve -iteration 3-
5-204 reference(s)		The random walk of photons escaping the Sun
6-196 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
7-196 reference(s)		Happy new year 2000
8-180 reference(s)
Autostereogram with an hidden volcano
9-164 reference(s)		Bidimensional Hilbert Curve -iteration 4-
10-160 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
11-153 reference(s)		Sixteen interlaced torus
12-142 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
13-142 reference(s)		Autostereogram with an hidden volcano
14-139 reference(s)		The random walk of photons escaping the Sun
15-138 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-135 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-132 reference(s)		The Jeener-Klein triple bottle
18-129 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
19-123 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
20-115 reference(s)
The Bonan-Jeener-Klein triple bottle
21-113 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-109 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
23-100 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
24-91 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-91 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
26-80 reference(s)		Quantum vacuum fluctuations
27-79 reference(s)		Artistic view of the prime numbers
28-72 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-70 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-69 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
31-68 reference(s)		Fractal natural form
32-60 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
33-59 reference(s)		Autostereogram with an hidden volcano
34-55 reference(s)		Fractal natural form
35-52 reference(s)		The random walk of photons escaping the Sun
36-51 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
37-51 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
38-51 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-50 reference(s)		Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
40-50 reference(s)
The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
41-48 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
42-48 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)
43-47 reference(s)		The bidimensional John Conway's life game
44-47 reference(s)
Autostereogram with an hidden ring and ghost bows
45-46 reference(s)		The generalized Ulam spiral
46-46 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
47-46 reference(s)		Quark and gluon structure of a nucleon
48-46 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
49-44 reference(s)		Sixteen interlaced fractal torus
50-44 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
51-43 reference(s)		Tridimensional texture animation by means of the Generalized Product
52-42 reference(s)
Tridimensional zoom in on the Mandelbrot set
53-42 reference(s)		Autostereogram with an hidden volcano
54-41 reference(s)		Bidimensional texture animation by means of the Generalized Product
55-41 reference(s)		The Möbius strip
56-41 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
57-40 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
58-40 reference(s)		From Mars to the Sun
59-40 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
60-40 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
61-40 reference(s)		Bidimensional geometrical texture animation
62-39 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
63-39 reference(s)		Autostereogram of Monument Valley
64-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
65-38 reference(s)		From the infinitely small to the infinitely big
66-38 reference(s)		Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
67-37 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
68-37 reference(s)
Artistic view of the Schaeffer bijection
69-36 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
70-35 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
71-35 reference(s)		An aperiodic Penrose tiling of the plane
72-34 reference(s)
Synthesis of bidimensional geometrical textures
73-33 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
74-33 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
75-33 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
76-31 reference(s)
True colors autostereogram of a fractal landscape
77-31 reference(s)		The actual Solar System viewed during 243 years from a green virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Pluto-
78-31 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
79-31 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
80-31 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
81-29 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
82-28 reference(s)		The Scream -a Tribute to Edvard Munch-
83-28 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
84-28 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
85-28 reference(s)		A fractal hypercube
86-28 reference(s)		Autostereogram with an hidden volcano
87-27 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
88-27 reference(s)
Pseudo Olympic Rings
89-26 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
90-25 reference(s)		An Archimedes spiral displaying 50000 numbers
91-25 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
92-25 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
93-24 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
94-24 reference(s)		Quark and gluon structure of a nucleon
95-24 reference(s)		'Regular' quadrangulation of the volume of a 'crumpled' sphere -18x18x8-
96-24 reference(s)
A quaternionic Julia set -tridimensional cross-section-
97-24 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
98-24 reference(s)		A pay slip
99-23 reference(s)		Monument Valley à la David Hockney
100-23 reference(s)
Tridimensional fractal structure -the space-time foam?-
101-22 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-22 reference(s)		A Tribute to Sandro Botticelli
103-22 reference(s)		Artistic view of the Big Bang
104-21 reference(s)
An aperiodic Penrose tiling of the plane
105-21 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
106-21 reference(s)		Intertwining
107-20 reference(s)		A 'crumpled' cylinder defined by means of three bidimensional fields
108-20 reference(s)
The Lorenz attractor
109-20 reference(s)		Ile de Science -a Tribute to Pierre Vasseur-
110-20 reference(s)		A shell (Jeener surface 1)in motion
111-20 reference(s)		A fractal vegetal structure
112-19 reference(s)
Quark and gluon dynamics of the nucleon
113-19 reference(s)		The generalized Ulam spiral displaying 100 numbers
114-19 reference(s)		Botticelli anomaly on the Moon
115-19 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
116-19 reference(s)
Heterogeneous meshing of a square
117-19 reference(s)		The Jeener-Klein triple bottle
118-19 reference(s)		The random walk of photons escaping the Sun
119-18 reference(s)		The generalized Ulam spiral displaying 2025 numbers
120-18 reference(s)
Monument Valley à la David Hockney
121-18 reference(s)		A set of 4x3 stereograms of the Solar System with a green virtual planet -virtual planet point of view-
122-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
123-18 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
124-18 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
125-18 reference(s)		The Klein bottle
126-18 reference(s)		Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
127-17 reference(s)		The rain (or the snow)is falling
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
737 reference(s)		2-An2000.01.Fra
400 reference(s)
3-Galerie_Tributes.FV
320 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
295 reference(s)
5-help.
291 reference(s)		6-Stereogrammes_AutoStereogrammes.01
279 reference(s)
7-FloatingPointNumbers.01.Fra
279 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
263 reference(s)
9-Vcatalogue.11
252 reference(s)		10-Fractal.01
237 reference(s)
11-FaireDeLaRecherche.01.vv
235 reference(s)		12-RealNumbers.01.Fra
234 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
220 reference(s)		14-Galerie_GeneralitiesVisualization.FV
204 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
200 reference(s)		16-MathematiquesPhysiqueFractales.02
199 reference(s)
17-mail.01.vv
195 reference(s)		18-ExpV_VirE.11
195 reference(s)
19-AProposSite.01.Fra
195 reference(s)		20-Galerie_NumberTheory.FV
194 reference(s)
21-MathematiquesPhysiqueFractales.22
190 reference(s)		22-Galerie_NewPictures.FV
189 reference(s)
23-catalogue.11
188 reference(s)		24-NDimensionalDeterministicFractalSets.01.Fra
187 reference(s)
25-MorePages.
186 reference(s)		26-Galerie_QuantumMechanics.FV
185 reference(s)
27-SurfaceProjector.01.Ang
184 reference(s)		28-NDimensionalDeterministicFractalSets.01.Ang
184 reference(s)
29-Galerie_ArtisticCreation.FV
184 reference(s)		30-ExpV_VirE.21
184 reference(s)
31-Galerie_ArtAndScience.FV
183 reference(s)		32-Autostereograms.01.
183 reference(s)
33-UlamSpiral.01.Fra
180 reference(s)		34-copyright.01.
179 reference(s)
35-Galerie_SignalProcessing.FV
176 reference(s)		36-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
174 reference(s)
37-Galerie_CelestialMechanics.FV
174 reference(s)		38-OrdinateursEtCalculs.01.Fra
173 reference(s)
39-MonodimensionalCellularAutomata.01.Fra
173 reference(s)		40-infinity.01.vv
172 reference(s)
41-SurfaceProjector.01.Fra
172 reference(s)		42-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
172 reference(s)
43-subject.01.
171 reference(s)		44-LesApprentisDieux.01
170 reference(s)
45-EntrelacsIntertwinings.01.Fra
170 reference(s)		46-OrdinateursEtCalculs.01.Ang
169 reference(s)
47-Galerie_DeterministicChaos.FV
169 reference(s)		48-AnimFractal.01.
169 reference(s)
49-GenieLogiciel.01.Fra
168 reference(s)		50-EntrelacsIntertwinings.01.Ang
168 reference(s)
51-GoldenTriangle.01.Fra
167 reference(s)		52-FloatingPointNumbers.01.Ang
165 reference(s)
53-DieuScience.01.Fra
165 reference(s)		54-ImagesDuVirtuel.01.Fra.FV
164 reference(s)
55-Galerie_BestOf.FV
163 reference(s)		56-infinity.02.vv
162 reference(s)
57-GoldenTriangle.01.Ang
161 reference(s)		58-Galerie_TextureSynthesis.FV
161 reference(s)
59-OrdinateurMathematiquesArt.01.Fra
160 reference(s)		60-Galerie_Astrophysics.FV
160 reference(s)
61-Kepler.02.
159 reference(s)		62-Fractal.11
159 reference(s)
63-NombresEtLumiere.01.vv.Fra
158 reference(s)		64-MathematiquesModeleOutilArtiste.02.Ang
158 reference(s)
65-Informations_GoodNewsAndBadNews.01.Fra
158 reference(s)		66-Galerie_ParticleSystems.FV
158 reference(s)
67-Fractal.02
158 reference(s)		68-ExpV_VirE.Ang
158 reference(s)
69-DuModeleALImage.02.Fra
158 reference(s)		70-AvantPropos.01.Fra
158 reference(s)
71-VisitesGaleriesEnfouies.01.Ang
157 reference(s)		72-IllusionConnaissance.02
157 reference(s)
73-AQuoiServentLesMathematiques.01
157 reference(s)		74-LOG_xiMc.11
156 reference(s)
75-Galerie_SensitivityToRoundingOffErrors.FV
156 reference(s)		76-fairedelarecherche.01.vv
155 reference(s)
77-VisitesGaleriesEnfouies.01.Fra
155 reference(s)		78-MonodimensionalCellularAutomata.01.Ang
155 reference(s)
79-ManyChaos.01.Ang
155 reference(s)		80-ImpossibleStructures.01.Ang
155 reference(s)
81-EnsembleDesGaleriesFractales.DIAPO.0001
155 reference(s)		82-Galerie_FluidMechanics.FV
154 reference(s)
83-Fractal.03
154 reference(s)		84-an2000
153 reference(s)
85-VirtualChaos.01.Ang
153 reference(s)		86-UlamSpiral.01.Ang
152 reference(s)
87-RemarquesCerveau.01
152 reference(s)		88-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
152 reference(s)
89-PerteDeLAssociativite.01
151 reference(s)		90-VirtualChaos.01.Fra
150 reference(s)
91-NatureDesMathematiques.01.vv.Fra
150 reference(s)		92-AvantPropos.01.Ang
150 reference(s)
93-realnumbers
149 reference(s)		94-demo.14
149 reference(s)
95-demo
149 reference(s)		96-QuelquesQuestionsSurLaRecherche.01.Fra
149 reference(s)
97-PatrimoineHumanite.02.Fra
149 reference(s)		98-nombresreels
148 reference(s)
99-logiciel
148 reference(s)		100-genielogiciel
148 reference(s)
101-demo14
148 reference(s)		102-Spheres.01
148 reference(s)
103-EnsembleDesGaleries.DIAPO.0001
148 reference(s)		104-create.03.
147 reference(s)
105-ManyChaos.01.Fra
146 reference(s)		106-MathematiquesEtRepresentations.01.vv.Ang
142 reference(s)
107-MathematiquesEtCinematographe.01.vv
142 reference(s)		108-ImpossibleStructures.01.Fra
141 reference(s)
109-Informations_AboutPicturesAnimationsAndFiles.01.Ang
129 reference(s)		110-present.01.
126 reference(s)
111-ArtEtMathematiques.01
125 reference(s)		112-NombresEtLumiere.02.vv.Ang
124 reference(s)
113-fractal.01
120 reference(s)		114-Informations_GoodNewsAndBadNews.01.Ang
118 reference(s)
115-Informations_AboutPicturesAnimationsAndFiles.01.Fra
117 reference(s)		116-Galerie_ImagesDesMathematiques.FV
116 reference(s)
117-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
113 reference(s)		118-ImagesDuVirtuel.01.Fra
111 reference(s)
119-ExpV_VirE.Fra
111 reference(s)		120-Commentaires_EspaceLyapunovComplexe.01
111 reference(s)
121-ArtScience.11.Fra
111 reference(s)		122-ArtOrdinateur.01
111 reference(s)
123-MathematiquesPhysiqueFractales.01
110 reference(s)		124-Galerie_NumbersAndLight.FV
110 reference(s)
125-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
109 reference(s)		126-AQuoiServentLesMathematiques.03
109 reference(s)
127-VisSci_SciVis.02
108 reference(s)		128-MOSA.PAYS.u9.M.20031207
108 reference(s)

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




Copyright © Jean-François COLONNA, 2015-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2015-2024.