Monthly Best Of on 04/28/2019




Artistic view of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4-

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe?]
[Please, visit A Virtual Space-Time Travel Machine, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 04/28/2019 and last updated on 06/04/2019 15:35:26 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-235 reference(s)
Autostereogram with an hidden volcano
2-210 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
3-148 reference(s)
Gravitation and space-time curvature
4-122 reference(s)
Happy new year 2000
5-114 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-111 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
7-107 reference(s)
The Bonan-Jeener's triple Klein bottle
8-102 reference(s)
The random walk of photons escaping the Sun
9-99 reference(s)
Hypercube
10-92 reference(s)
From 'geocentrism' to 'heliocentrism'
11-86 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-82 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-79 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
14-77 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
15-71 reference(s)
Autostereogram with an hidden volcano
16-70 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
17-69 reference(s)
The bidimensional John Conway's life game
18-67 reference(s)
The Jeener's triple Klein bottle
19-67 reference(s)
The random walk of photons escaping the Sun
20-62 reference(s)
Pseudo Olympic Rings
21-62 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
22-59 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-55 reference(s)
Artistic view of the prime numbers
24-51 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
25-50 reference(s)
A pseudo-periodical Penrose tiling of the plane
26-48 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
27-48 reference(s)
From Mars to the Sun
28-48 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
29-48 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
30-46 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
31-46 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-
32-46 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-
33-46 reference(s)
Bidimensional geometrical texture animation
34-45 reference(s)
The Möbius strip
35-45 reference(s)
Tridimensional zoom in on the Mandelbrot set
36-45 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
37-44 reference(s)
Bidimensional Hilbert Curve -iteration 4-
38-44 reference(s)
The Sierpinski carpet -iteration 5-
39-43 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
40-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
41-43 reference(s)
Tridimensional texture animation by means of the Generalized Product
42-43 reference(s)
Bidimensional texture animation by means of the Generalized Product
43-43 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
44-43 reference(s)
The Sierpinski carpet -iteration 3-
45-42 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
46-42 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
47-41 reference(s)
Tridimensional Hilbert Curve -iteration 3-
48-40 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
49-40 reference(s)
Quantum vacuum fluctuations
50-39 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
51-39 reference(s)
Metropolis -a tribute to Fritz Lang-
52-39 reference(s)
Autostereogram of the CMAP
53-38 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
54-38 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
55-38 reference(s)
A fractal vegetal structure
56-37 reference(s)
Sixteen interlaced fractal torus
57-37 reference(s)
My own triple impossible staircase -a tribute to Maurits Cornelis Escher-
58-37 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
59-37 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
60-36 reference(s)
Autostereogram with an hidden volcano
61-35 reference(s)
Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
62-35 reference(s)
A fractal Klein bottle
63-35 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
64-34 reference(s)
The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
65-33 reference(s)
The pseudo-sphere -a Tribute to Jacques Cartier-
66-32 reference(s)
Color palette 'jaune'
67-30 reference(s)
The Menger sponge -iteration 5-
68-29 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
69-29 reference(s)
The Klein bottle
70-27 reference(s)
Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-
71-26 reference(s)
The Universe at the heart of a Calabi-Yau manifold
72-25 reference(s)
The generalized Ulam spiral
73-25 reference(s)
Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-
74-25 reference(s)
Pseudo-octonionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
75-25 reference(s)
A pseudo-periodical Penrose tiling of the plane
76-24 reference(s)
A quaternionic Julia set -tridimensional cross-section-
77-24 reference(s)
A fractal Möbius strip
78-24 reference(s)
The Jeener's quintuple Klein bottle
79-24 reference(s)
Autostereogram with an hidden volcano
80-23 reference(s)
The Sierpinski carpet -iteration 2-
81-23 reference(s)
The Mandelbrot set
82-23 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 0 to pi rotation about the X axis -tridimensional cross-section-
83-23 reference(s)
Fractal Self-Portrait -'Décalcomanie', a tribute to René Magritte-
84-23 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
85-23 reference(s)
A fractal pseudo-periodical Penrose tiling
86-23 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
87-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
88-23 reference(s)
The Jeener's triple Klein bottle
89-23 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
90-22 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
91-22 reference(s)
A pseudo-periodical Penrose tiling of the plane
92-22 reference(s)
Monument Valley à la David Hockney
93-22 reference(s)
The Birth of the Universe
94-22 reference(s)
Jean-François Colonna
95-22 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
96-22 reference(s)
The bidimensional field defining the three coordinates of the double Jeener bottle
97-22 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
98-21 reference(s)
Autostereogram with an hidden ring and ghost bows
99-21 reference(s)
Victor Vasarely meets Piet Mondrian
100-21 reference(s)
An Archimedes spiral displaying 100000 numbers
101-21 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
102-21 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
103-21 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
104-20 reference(s)
The construction process of the Sierpinski carpet
105-20 reference(s)
Fractal natural form
106-20 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
107-20 reference(s)
No Title 0267 -a tribute to Piet Mondrian-
108-20 reference(s)
A pseudo-periodical Penrose tiling of the plane
109-19 reference(s)
Along the border of the Mandelbrot set
110-19 reference(s)
The Syracuse conjecture for U(0)={1,2,3,4,...,128} -monodimensional display of the parities-
111-19 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
112-19 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
113-19 reference(s)
Fractal natural form
114-19 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
115-19 reference(s)
The Klein bottle defined by means of three bidimensional fields
116-19 reference(s)
The Ulam spiral
117-19 reference(s)
A 4-cube -an hypercube-
118-19 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
119-19 reference(s)
Quantum vacuum fluctuations
120-18 reference(s)
A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-
121-18 reference(s)
A pseudo-periodical Penrose tiling of the plane
122-18 reference(s)
The Boy surface
123-18 reference(s)
Autostereogram of Monument Valley
124-18 reference(s)
Quark and gluon structure of a nucleon
125-18 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)
126-18 reference(s)
An extended Menger sponge -iteration 5-
127-18 reference(s)
Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
800 reference(s)
2-An2000.01.Fra
765 reference(s)
3-ComplexiteStructurelleClassements.11
423 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
391 reference(s)
5-help.
365 reference(s)
6-Vcatalogue.11
330 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
246 reference(s)
8-Fractal.01
224 reference(s)
9-MorePages.
217 reference(s)
10-Informations_GoodNewsAndBadNews.01.Fra
213 reference(s)
11-GoldenTriangle.01.Fra
205 reference(s)
12-SurfaceProjector.01.Ang
204 reference(s)
13-RealNumbers.01.Fra
203 reference(s)
14-Informations_GoodNewsAndBadNews.01.Ang
196 reference(s)
15-MathematiquesPhysiqueFractales.02
188 reference(s)
16-SurfaceProjector.01.Fra
182 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
182 reference(s)
18-FaireDeLaRecherche.01.vv
178 reference(s)
19-AVirtualSpaceTimeTravelMachine.Fra
178 reference(s)
20-FloatingPointNumbers.01.Fra
176 reference(s)
21-UlamSpiral.01.Fra
173 reference(s)
22-Galerie_NumberTheory.FV
173 reference(s)
23-Autostereograms.01.
172 reference(s)
24-Stereogrammes_AutoStereogrammes.01
170 reference(s)
25-AProposSite.01.Fra
166 reference(s)
26-MathematiquesPhysiqueFractales.22
163 reference(s)
27-Fractal.11
163 reference(s)
28-present.01.
162 reference(s)
29-Commentaires_NKleinBottle.01
161 reference(s)
30-nombresreels
160 reference(s)
31-logiciel
160 reference(s)
32-demo
160 reference(s)
33-demo.14
159 reference(s)
34-an2000
159 reference(s)
35-Galerie_NewPictures.FV
159 reference(s)
36-demo14
158 reference(s)
37-genielogiciel
157 reference(s)
38-realnumbers
156 reference(s)
39-mail.01.vv
156 reference(s)
40-LOG_xiMc.11
156 reference(s)
41-Galerie_ArtisticCreation.FV
155 reference(s)
42-ExpV_VirE.11
155 reference(s)
43-NDimensionalDeterministicFractalSets.01.Fra
154 reference(s)
44-copyright.01.
153 reference(s)
45-DieuScience.01.Fra
153 reference(s)
46-Galerie_GeneralitiesVisualization.FV
152 reference(s)
47-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
147 reference(s)
48-Kepler.02.
145 reference(s)
49-GenieLogiciel.01.Fra
144 reference(s)
50-GoldenTriangle.01.Ang
143 reference(s)
51-Galerie_BestOf.FV
143 reference(s)
52-Galerie_ArtAndScience.FV
143 reference(s)
53-AQuoiServentLesMathematiques.01
142 reference(s)
54-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
141 reference(s)
55-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
140 reference(s)
56-Fractal.21
140 reference(s)
57-Fractal.03
140 reference(s)
58-FloatingPointNumbers.01.Ang
140 reference(s)
59-IllusionConnaissance.02
139 reference(s)
60-EntrelacsIntertwinings.01.Fra
139 reference(s)
61-NatureDesMathematiques.01.vv.Fra
138 reference(s)
62-MonodimensionalCellularAutomata.01.Fra
138 reference(s)
63-AnimFractal.01.
138 reference(s)
64-NDimensionalDeterministicFractalSets.01.Ang
137 reference(s)
65-MathematiquesPhysiqueFractales.12
137 reference(s)
66-Galerie_QuantumMechanics.FV
137 reference(s)
67-EntrelacsIntertwinings.01.Ang
136 reference(s)
68-Fractal.02
135 reference(s)
69-Galerie_TextureSynthesis.FV
134 reference(s)
70-ImagesDuVirtuel.01.Fra.FV
133 reference(s)
71-OrdinateursEtCalculs.01.Fra
132 reference(s)
72-Galerie_ParticleSystems.FV
132 reference(s)
73-Galerie_DeterministicChaos.FV
131 reference(s)
74-DuModeleALImage.02.Fra
130 reference(s)
75-UlamSpiral.01.Ang
129 reference(s)
76-ArtScience.01
129 reference(s)
77-Informations_AboutPicturesAnimationsAndFiles.01.Ang
128 reference(s)
78-ExpV_VirE.Ang
128 reference(s)
79-Galerie_ImagesDesMathematiques.FV
127 reference(s)
80-Galerie_CelestialMechanics.FV
127 reference(s)
81-subject.01.
125 reference(s)
82-OrdinateursEtCalculs.01.Ang
125 reference(s)
83-ExpV_VirE.21
125 reference(s)
84-EnsembleDesGaleries.DIAPO.0001
125 reference(s)
85-catalogue.11
124 reference(s)
86-VirtualChaos.01.Ang
123 reference(s)
87-PerteDeLAssociativite.01
123 reference(s)
88-Galerie_Astrophysics.FV
123 reference(s)
89-Commentaires_DefinitionOperateursCorpsR.01
123 reference(s)
90-AvantPropos.01.Fra
123 reference(s)
91-infinity.01.vv
122 reference(s)
92-RemarquesCerveau.01
122 reference(s)
93-OrdinateurMathematiquesArt.01.Fra
122 reference(s)
94-LesApprentisDieux.01
122 reference(s)
95-ImpossibleStructures.01.Ang
122 reference(s)
96-create.03.
121 reference(s)
97-VirtualChaos.01.Fra
121 reference(s)
98-xrq_____hydrogene.61.K.
120 reference(s)
99-ManyChaos.01.Fra
120 reference(s)
100-ImpossibleStructures.01.Fra
120 reference(s)
101-DecimalesPi_100000.vv
120 reference(s)
102-EnsembleDesGaleriesFractales.DIAPO.0001
119 reference(s)
103-Commentaires_SurfaceMinimaleDeJeener.01
119 reference(s)
104-FaireDesMathematiques.01.Fra
118 reference(s)
105-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
118 reference(s)
106-RasoirDOccamEtMathematiques.01.vv.Fra
117 reference(s)
107-MathematiquesPhysiqueFractales.01
117 reference(s)
108-MathematiquesModeleOutilArtiste.02.Ang
117 reference(s)
109-ManyChaos.01.Ang
117 reference(s)
110-Galerie_FluidMechanics.FV
117 reference(s)
111-infinity.02.vv
116 reference(s)
112-VisSci_SciVis.02
116 reference(s)
113-PatrimoineHumanite.02.Fra
116 reference(s)
114-ExpV_VirE.Fra
116 reference(s)
115-Commentaires_DefinitionPseudoQuaternions.01
116 reference(s)
116-QuelquesQuestionsSurLaRecherche.01.Fra
115 reference(s)
117-NombresEtLumiere.01.vv.Fra
115 reference(s)
118-MiseEnSceneDesNombres.01.vv.Ang
115 reference(s)
119-IllusionConnaissance.01
115 reference(s)
120-Commentaires_InterlacedHypocycloidalJeenerBottle.01
115 reference(s)
121-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
115 reference(s)
122-VisitesGaleriesEnfouies.01.Fra
114 reference(s)
123-NombresPremiers_10000.vv
114 reference(s)
124-MonodimensionalCellularAutomata.01.Ang
114 reference(s)
125-Galerie_SensitivityToRoundingOffErrors.FV
114 reference(s)
126-Commentaires_EscargotDeJeener.01
114 reference(s)
127-AvantPropos.01.Ang
114 reference(s)
128-Spheres.01
113 reference(s)

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




Copyright (c) Jean-François Colonna, 2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2019.