Monthly Best Of on 01/28/2020




Self-transformation of an arbitrary geometrical texture

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 01/28/2020 and last updated on 06/18/2020 11:25:15 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram of the CMAP
1-287 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
2-186 reference(s)
Autostereogram with an hidden ring and ghost bows
3-177 reference(s)
No Title 0293 -a tribute to Pierre Soulages
4-172 reference(s)
Happy new year 2000
5-149 reference(s)
Victor Vasarely meets Piet Mondrian
6-144 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
7-100 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
8-99 reference(s)
The random walk of photons escaping the Sun
9-99 reference(s)
Autostereogram with an hidden volcano
10-88 reference(s)
The random walk of photons escaping the Sun
11-83 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-60 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-58 reference(s)
The bidimensional John Conway's life game
14-57 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
15-57 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-56 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-56 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
18-56 reference(s)
No Title 0294 -a tribute to Victor Vasarely
19-50 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
20-47 reference(s)
Autostereogram with an hidden volcano
21-47 reference(s)
The random walk of photons escaping the Sun
22-47 reference(s)
The Bonan-Jeener-Klein triple bottle
23-47 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
24-46 reference(s)
The first four iterations of the construction of the von Koch snowflake
25-45 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
26-45 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
27-44 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-
28-44 reference(s)
Tridimensional zoom in on the Mandelbrot set
29-44 reference(s)
No Title 0271 -a tribute to Vassily Kandinsky-
30-44 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-44 reference(s)
From Mars to the Sun
32-42 reference(s)
The Möbius strip
33-41 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
34-41 reference(s)
A blue sponge-tree -a tribute to Yves Klein-
35-41 reference(s)
Tridimensional texture animation by means of the Generalized Product
36-40 reference(s)
Color palette 'jaune'
37-40 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
38-40 reference(s)
Recursive subdivision of four Golden Rectangles -a tribute to Piet Mondrian-
39-39 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
40-39 reference(s)
Bidimensional geometrical texture animation
41-38 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
42-38 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
43-38 reference(s)
No Title 0269 -a tribute to Piet Mondrian-
44-38 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
45-37 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
46-37 reference(s)
Bidimensional texture animation by means of the Generalized Product
47-37 reference(s)
From 'geocentrism' to 'heliocentrism'
48-37 reference(s)
The Sierpinski carpet -iteration 5-
49-36 reference(s)
Artistic view of the prime numbers
50-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
51-36 reference(s)
The Jeener-Klein triple bottle
52-36 reference(s)
Quantum vacuum fluctuations
53-35 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
54-33 reference(s)
Pseudo Olympic Rings
55-33 reference(s)
A pseudo-periodical Penrose tiling of the plane
56-30 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
57-29 reference(s)
Bidimensional zoom in on the Mandelbrot set
58-29 reference(s)
No Title 0265 -a tribute to Vassily Kandinsky-
59-29 reference(s)
A fractal Klein bottle
60-29 reference(s)
An extended Menger sponge -iteration 5-
61-28 reference(s)
A fractal Möbius strip
62-28 reference(s)
A pseudo-periodical Penrose tiling of the plane
63-27 reference(s)
Autostereogram with an hidden volcano
64-27 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
65-27 reference(s)
Fractal Self-Portrait -a tribute to René Magritte-
66-26 reference(s)
Hypercube
67-25 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
68-25 reference(s)
Autostereogram with an hidden volcano
69-24 reference(s)
The Scream -a Tribute to Edvard Munch-
70-24 reference(s)
No Title 0266 -a tribute to Vassily Kandinsky-
71-24 reference(s)
A 4-cube -an hypercube-
72-24 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-24 reference(s)
A fractal vegetal structure
74-23 reference(s)
Autostereogram with an hidden volcano
75-22 reference(s)
Color palette 'gris.12'
76-22 reference(s)
From Pluto to the Sun -extrapolation 2-
77-22 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
78-22 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
79-22 reference(s)
No Title 0267 -a tribute to Piet Mondrian-
80-22 reference(s)
The Universe at the heart of a Calabi-Yau manifold
81-21 reference(s)
Color palette 'orange'
82-21 reference(s)
The Menger sponge -iteration 5-
83-21 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
84-20 reference(s)
Metropolis -a tribute to Fritz Lang-
85-20 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
86-20 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
87-20 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
88-20 reference(s)
Quantum vacuum fluctuations
89-19 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
90-19 reference(s)
Quadruple impossible staircase built by means of a paradoxal structure -a tribute to Maurits Cornelis Escher-
91-19 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
92-18 reference(s)
A tridimensional intertwining inside a sphere
93-18 reference(s)
A tridimensional intertwining
94-18 reference(s)
Fractal natural form
95-18 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section-
96-18 reference(s)
The Jeener-Klein triple bottle
97-18 reference(s)
The 64 first lines of the Pascal's Triangle
98-17 reference(s)
The Boy surface
99-17 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
100-17 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
101-17 reference(s)
From the infinitely small to the infinitely big
102-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
103-17 reference(s)
No Title 0270 -a recursive tribute to Piet Mondrian-
104-17 reference(s)
A pseudo-periodical Penrose tiling of the plane
105-16 reference(s)
A pseudo-periodical Penrose tiling of the plane
106-16 reference(s)
Autostereogram with an hidden volcano
107-16 reference(s)
The Sierpinski carpet -iteration 1 to 5-
108-16 reference(s)
A pay slip
109-16 reference(s)
Color palette 'gris.93'
110-16 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
111-16 reference(s)
No Title 0268 -a recursive tribute to Piet Mondrian-
112-16 reference(s)
Fractal 'celestial body' based on a torus and a tridimensional intertwining inside a sphere
113-15 reference(s)
Fractal 'celestial body' based on the Bonan-Jeener-Klein triple bottle with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
114-15 reference(s)
The Lorenz attractor
115-15 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
116-15 reference(s)
My own quadruple impossible staircase -a tribute to Maurits Cornelis Escher-
117-15 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
118-15 reference(s)
LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
119-15 reference(s)
Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise
120-14 reference(s)
A pseudo-periodical Penrose tiling of the plane
121-14 reference(s)
Gravitation and space-time curvature
122-14 reference(s)
The foggy Babel Pyramid
123-14 reference(s)
Color palette 'gris.73'
124-14 reference(s)
Color palette 'cyan.01'
125-14 reference(s)
A half-random extended Menger sponge -iteration 5-
126-14 reference(s)
Sixteen interlaced fractal torus
127-14 reference(s)
A pseudo-periodical Penrose tiling of the plane -a tribute to Piet Mondrian and Roger Penrose-
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
596 reference(s)
2-demo_14
559 reference(s)
3-Vcatalogue.11
468 reference(s)
4-ImagesDuVirtuel.01.Fra
348 reference(s)
5-help.
338 reference(s)
6-An2000.01.Fra
278 reference(s)
7-RealNumbers.01.Fra
213 reference(s)
8-Commentaires_NKleinBottle.01
210 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
189 reference(s)
10-AVirtualSpaceTimeTravelMachine.Fra
181 reference(s)
11-mail.01.vv
179 reference(s)
12-LOG_xiMc.11
173 reference(s)
13-Exposition_MairieCinquiemeArrondissementParis_202001_202002
169 reference(s)
14-Fractal.01
167 reference(s)
15-copyright.01.
164 reference(s)
16-realnumbers
162 reference(s)
17-nombresreels
162 reference(s)
18-genielogiciel
162 reference(s)
19-demo.14
162 reference(s)
20-GoldenTriangle.01.Fra
162 reference(s)
21-logiciel
161 reference(s)
22-an2000
161 reference(s)
23-NDimensionalDeterministicFractalSets.01.Ang
161 reference(s)
24-demo14
160 reference(s)
25-demo
160 reference(s)
26-AProposSite.01.Fra
158 reference(s)
27-Stereogrammes_AutoStereogrammes.01
157 reference(s)
28-Fractal.11
157 reference(s)
29-Galerie_NewPictures.FV
155 reference(s)
30-Autostereograms.01.
153 reference(s)
31-FloatingPointNumbers.01.Fra
152 reference(s)
32-ExpV_VirE.21
152 reference(s)
33-Galerie_GeneralitiesVisualization.FV
151 reference(s)
34-Galerie_NumberTheory.FV
150 reference(s)
35-ExpV_VirE.11
150 reference(s)
36-Galerie_ArtAndScience.FV
147 reference(s)
37-UlamSpiral.01.Fra
146 reference(s)
38-AQuoiServentLesMathematiques.01
146 reference(s)
39-Galerie_DeterministicFractalGeometry.FV
145 reference(s)
40-EntrelacsIntertwinings.01.Fra
145 reference(s)
41-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
144 reference(s)
42-Fractal.21
143 reference(s)
43-DieuScience.01.Fra
143 reference(s)
44-SurfaceProjector.01.Fra
142 reference(s)
45-Galerie_ParticleSystems.FV
141 reference(s)
46-FaireDeLaRecherche.01.vv
141 reference(s)
47-NDimensionalDeterministicFractalSets.01.Fra
140 reference(s)
48-MathematiquesPhysiqueFractales.12
138 reference(s)
49-MathematiquesPhysiqueFractales.02
138 reference(s)
50-EntrelacsIntertwinings.01.Ang
138 reference(s)
51-SurfaceProjector.01.Ang
136 reference(s)
52-Galerie_ImagesDesMathematiques.FV
135 reference(s)
53-Exposition_EcolePolytechnique_FeteDeLaScience_201910
134 reference(s)
54-UlamSpiral.01.Ang
133 reference(s)
55-Galerie_TextureSynthesis.FV
133 reference(s)
56-Galerie_SignalProcessing.FV
133 reference(s)
57-Galerie_CelestialMechanics.FV
133 reference(s)
58-FloatingPointNumbers.01.Ang
133 reference(s)
59-MorePages.
132 reference(s)
60-Informations_AboutPicturesAnimationsAndFiles.01.Ang
132 reference(s)
61-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
132 reference(s)
62-IllusionConnaissance.02
131 reference(s)
63-subject.01.
130 reference(s)
64-MonodimensionalCellularAutomata.01.Fra
130 reference(s)
65-GoldenTriangle.01.Ang
129 reference(s)
66-Galerie_ArtisticCreation.FV
129 reference(s)
67-ImpossibleStructures.01.Fra
127 reference(s)
68-Galerie_QuantumMechanics.FV
127 reference(s)
69-Exposition_OperaDeMassy_201912_202001
127 reference(s)
70-present.01.
126 reference(s)
71-infinity.02.vv
126 reference(s)
72-NatureDesMathematiques.01.vv.Fra
126 reference(s)
73-ImpossibleStructures.01.Ang
126 reference(s)
74-AnimFractal.01.
126 reference(s)
75-Galerie_SensitivityToRoundingOffErrors.FV
125 reference(s)
76-Galerie_ImagesDidactiques.FV
125 reference(s)
77-infinity.01.vv
124 reference(s)
78-OrdinateurMathematiquesArt.01.Fra
124 reference(s)
79-Kepler.02.
124 reference(s)
80-Galerie_BestOf.FV
124 reference(s)
81-catalogue.11
123 reference(s)
82-PerteDeLAssociativite.01
123 reference(s)
83-OrdinateursEtCalculs.01.Ang
123 reference(s)
84-GenieLogiciel.01.Fra
123 reference(s)
85-MathematiquesPhysiqueFractales.22
122 reference(s)
86-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
122 reference(s)
87-MonodimensionalCellularAutomata.01.Ang
121 reference(s)
88-Fractal.03
121 reference(s)
89-OrdinateursEtCalculs.01.Fra
120 reference(s)
90-Galerie_Astrophysics.FV
120 reference(s)
91-create.03.
119 reference(s)
92-Galerie_DeterministicChaos.FV
119 reference(s)
93-Fractal.02
119 reference(s)
94-ManyChaos.01.Fra
118 reference(s)
95-Galerie_Tributes.FV
118 reference(s)
96-NombresEtLumiere.01.vv.Fra
117 reference(s)
97-ImagesDuVirtuel.01.Fra.FV
117 reference(s)
98-Galerie_FluidMechanics.FV
117 reference(s)
99-FaireDesMathematiques.01.Fra
116 reference(s)
100-DuModeleALImage.02.Fra
116 reference(s)
101-VirtualChaos.01.Fra
115 reference(s)
102-RemarquesCerveau.01
115 reference(s)
103-MiseEnSceneDesNombres.01.vv.Ang
114 reference(s)
104-ManyChaos.01.Ang
114 reference(s)
105-LesApprentisDieux.01
114 reference(s)
106-Informations_AboutPicturesAnimationsAndFiles.01.Fra
114 reference(s)
107-Pcatalogue.11
113 reference(s)
108-PatrimoineHumanite.02.Fra
113 reference(s)
109-EnsembleDesGaleries.DIAPO.0001
113 reference(s)
110-Commentaires_DefinitionQuaternions.01
113 reference(s)
111-VirtualChaos.01.Ang
112 reference(s)
112-EnsembleDesGaleriesFractales.DIAPO.0001
112 reference(s)
113-ArithmetiqueEtOrdinateur.01.vv.Fra
112 reference(s)
114-An2000.02.Fra
112 reference(s)
115-VisualisationRelief.01.vv.Fra
111 reference(s)
116-HommageBenoitMandelbrot.21
111 reference(s)
117-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
111 reference(s)
118-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
111 reference(s)
119-ExpV_VirE.Ang
111 reference(s)
120-RasoirDOccamEtMathematiques.01.vv.Fra
110 reference(s)
121-MathematiquesModeleOutilArtiste.02.Ang
110 reference(s)
122-AvantPropos.01.Fra
110 reference(s)
123-VisitesGaleriesEnfouies.01.Ang
109 reference(s)
124-MathematiquesLangageDuGrandLivreDeLaNature.12
109 reference(s)
125-DecimalesPi_1_100.vv
109 reference(s)
126-AvantPropos.01.Ang
109 reference(s)
127-Notations_AppartientA.01
108 reference(s)
128-MathematiquesEtRepresentations.01.vv.Ang
108 reference(s)

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




Copyright (c) Jean-François Colonna, 2020.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2020.