Monthly Best Of on 06/28/2019




A fractal surface (two iterations)defined by means of three bidimensional fields

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 06/28/2019 and last updated on 10/03/2024 17:03:51 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram with an hidden volcano
1-155 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
2-153 reference(s)		The random walk of photons escaping the Sun
3-150 reference(s)		Victor Vasarely meets Piet Mondrian
4-117 reference(s)
The random walk of photons escaping the Sun
5-108 reference(s)		Gravitation and space-time curvature
6-89 reference(s)		Happy new year 2000
7-80 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
8-80 reference(s)
The Bonan-Jeener-Klein triple bottle
9-77 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-76 reference(s)		The bidimensional John Conway's life game
11-74 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
12-68 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
13-65 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
14-62 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-62 reference(s)		The random walk of photons escaping the Sun
16-60 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
17-59 reference(s)		Artistic view of the prime numbers
18-54 reference(s)		Autostereogram of the CMAP
19-53 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
20-53 reference(s)
Pseudo Olympic Rings
21-51 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
22-50 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-50 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-
24-48 reference(s)
Hypercube
25-48 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-48 reference(s)		A fractal vegetal structure
27-47 reference(s)		From Mars to the Sun
28-47 reference(s)
Tridimensional zoom in on the Mandelbrot set
29-45 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
30-44 reference(s)		From 'geocentrism' to 'heliocentrism'
31-44 reference(s)		Bidimensional geometrical texture animation
32-43 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
33-43 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
34-43 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
35-43 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
36-43 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
37-43 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
38-43 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
39-42 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
40-42 reference(s)
Tridimensional texture animation by means of the Generalized Product
41-42 reference(s)		Bidimensional texture animation by means of the Generalized Product
42-42 reference(s)		The Möbius strip
43-42 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
44-41 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
45-40 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
46-40 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
47-37 reference(s)		Intertwining based on the geometry of the Boy surface
48-37 reference(s)
Bidimensional Hilbert Curve -iteration 4-
49-36 reference(s)		The Jeener-Klein triple bottle
50-36 reference(s)		Quantum vacuum fluctuations
51-35 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
52-35 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
53-34 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
54-34 reference(s)		The Menger Sponge -iteration 5-
55-33 reference(s)		My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
56-32 reference(s)
Tridimensional Hilbert Curve -iteration 3-
57-31 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
58-30 reference(s)		Metropolis -a Tribute to Fritz Lang-
59-30 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
60-30 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-29 reference(s)		Sixteen interlaced fractal torus
62-28 reference(s)		The Universe at the heart of a Calabi-Yau manifold
63-27 reference(s)		Intertwining based on the geometry of the Boy surface
64-27 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
65-27 reference(s)		Untitled 0265 -a Tribute to Vassily Kandinsky-
66-27 reference(s)		Color palette 'jaune'
67-26 reference(s)		Untitled 0294 -a Tribute to Victor Vasarely
68-25 reference(s)
An aperiodic Penrose tiling of the plane
69-25 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
70-25 reference(s)		The Sierpinski Carpet -iteration 5-
71-25 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
72-24 reference(s)
An aperiodic Penrose tiling of the plane
73-24 reference(s)		Autostereogram with an hidden volcano
74-24 reference(s)		Autostereogram with an hidden volcano
75-24 reference(s)		Color palette 'cercle.G5'
76-24 reference(s)
Quark and gluon structure of a nucleon
77-24 reference(s)		Tridimensional fractal structure in a tridimensional torus
78-24 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
79-24 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
80-23 reference(s)
Untitled 0293 -a Tribute to Pierre Soulages
81-21 reference(s)		The Sierpinski Carpet -iteration 3-
82-21 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
83-21 reference(s)		Quantum vacuum fluctuations
84-20 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
85-20 reference(s)		Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
86-20 reference(s)		A 4-cube -an hypercube-
87-20 reference(s)		An aperiodic Penrose tiling of the plane
88-19 reference(s)
Autostereogram with an hidden ring and ghost bows
89-19 reference(s)		The Scream -a Tribute to Edvard Munch-
90-19 reference(s)		An Archimedes spiral displaying 100000 numbers
91-19 reference(s)		Monument Valley at sunrise
92-19 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
93-19 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
94-19 reference(s)		The Lorenz attractor
95-19 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
96-19 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
97-19 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
98-19 reference(s)		From the infinitely small to the infinitely big
99-19 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
100-19 reference(s)
The Jeener-Klein triple bottle
101-19 reference(s)		Untitled 0295 -a Tribute to Victor Vasarely
102-18 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
103-18 reference(s)		A simple geometrical periodical structure
104-18 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
105-18 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
106-18 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
107-18 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
108-18 reference(s)
A fractal Möbius strip
109-18 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
110-18 reference(s)		Tridimensional self-Portrait -a Tribute to Victor Vasarely-
111-17 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
112-17 reference(s)
Tridimensional fractal Self-Portrait
113-17 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
114-17 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
115-16 reference(s)		An aperiodic non linear Penrose tiling of the plane
116-16 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the plane
117-16 reference(s)		Fractal natural form
118-16 reference(s)		The generalized Ulam spiral
119-16 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
120-16 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
121-16 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
122-16 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
123-16 reference(s)		Notre-Dame de Paris -a tribute-
124-16 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
125-15 reference(s)		An aperiodic Penrose tiling of the plane
126-15 reference(s)		An aperiodic Penrose tiling of the plane
127-15 reference(s)		Along the border of the Mandelbrot set
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
966 reference(s)		2-demo_14
917 reference(s)
3-help.
473 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
455 reference(s)
5-ComplexiteStructurelleClassements.11
385 reference(s)		6-Vcatalogue.11
377 reference(s)
7-Informations_GoodNewsAndBadNews.01.Fra
331 reference(s)		8-GenieLogiciel_VisualisationScientifique.01.vv
273 reference(s)
9-Informations_GoodNewsAndBadNews.01.Ang
240 reference(s)		10-MorePages.
225 reference(s)
11-GoldenTriangle.01.Fra
224 reference(s)		12-AVirtualSpaceTimeTravelMachine.Fra
222 reference(s)
13-RealNumbers.01.Fra
221 reference(s)		14-Fractal.01
213 reference(s)
15-MathematiquesPhysiqueFractales.02
210 reference(s)		16-Galerie_ArtisticCreation.FV
210 reference(s)
17-FloatingPointNumbers.01.Fra
206 reference(s)		18-mail.01.vv
205 reference(s)
19-Galerie_DeterministicFractalGeometry.FV
204 reference(s)		20-Stereogrammes_AutoStereogrammes.01
200 reference(s)
21-SurfaceProjector.01.Fra
198 reference(s)		22-Galerie_ArtAndScience.FV
193 reference(s)
23-Galerie_NumberTheory.FV
192 reference(s)		24-AProposSite.01.Fra
189 reference(s)
25-Fractal.11
184 reference(s)		26-SurfaceProjector.01.Ang
183 reference(s)
27-copyright.01.
181 reference(s)		28-LOG_xiMc.11
181 reference(s)
29-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
179 reference(s)		30-MathematiquesPhysiqueFractales.12
178 reference(s)
31-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
176 reference(s)		32-demo14
175 reference(s)
33-Galerie_NewPictures.FV
175 reference(s)		34-UlamSpiral.01.Fra
174 reference(s)
35-MathematiquesPhysiqueFractales.22
174 reference(s)		36-DieuScience.01.Fra
172 reference(s)
37-realnumbers
171 reference(s)		38-demo
171 reference(s)
39-FaireDeLaRecherche.01.vv
171 reference(s)		40-logiciel
170 reference(s)
41-demo.14
170 reference(s)		42-GenieLogiciel.01.Fra
170 reference(s)
43-genielogiciel
169 reference(s)		44-an2000
169 reference(s)
45-Galerie_GeneralitiesVisualization.FV
169 reference(s)		46-EntrelacsIntertwinings.01.Fra
169 reference(s)
47-present.01.
168 reference(s)		48-nombresreels
167 reference(s)
49-catalogue.11
166 reference(s)		50-ExpV_VirE.11
166 reference(s)
51-NDimensionalDeterministicFractalSets.01.Fra
164 reference(s)		52-Commentaires_NKleinBottle.01
164 reference(s)
53-MonodimensionalCellularAutomata.01.Fra
163 reference(s)		54-Kepler.02.
162 reference(s)
55-Fractal.03
160 reference(s)		56-Galerie_ParticleSystems.FV
157 reference(s)
57-Galerie_BestOf.FV
157 reference(s)		58-EntrelacsIntertwinings.01.Ang
156 reference(s)
59-Autostereograms.01.
155 reference(s)		60-IllusionConnaissance.02
154 reference(s)
61-AQuoiServentLesMathematiques.01
154 reference(s)		62-PerteDeLAssociativite.01
149 reference(s)
63-Galerie_TextureSynthesis.FV
149 reference(s)		64-Fractal.21
149 reference(s)
65-NatureDesMathematiques.01.vv.Fra
148 reference(s)		66-Galerie_CelestialMechanics.FV
148 reference(s)
67-GoldenTriangle.01.Ang
147 reference(s)		68-ExpV_VirE.21
147 reference(s)
69-DuModeleALImage.02.Fra
147 reference(s)		70-OrdinateursEtCalculs.01.Fra
146 reference(s)
71-Galerie_DeterministicChaos.FV
146 reference(s)		72-FloatingPointNumbers.01.Ang
146 reference(s)
73-Galerie_QuantumMechanics.FV
145 reference(s)		74-Galerie_ImagesDesMathematiques.FV
145 reference(s)
75-EnsembleDesGaleries.DIAPO.0946
145 reference(s)		76-NDimensionalDeterministicFractalSets.01.Ang
144 reference(s)
77-AnimFractal.01.
144 reference(s)		78-Galerie_Tributes.FV
143 reference(s)
79-Galerie_Astrophysics.FV
142 reference(s)		80-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
142 reference(s)
81-ImagesDuVirtuel.01.Fra.FV
141 reference(s)		82-VirtualChaos.01.Fra
140 reference(s)
83-Galerie_SensitivityToRoundingOffErrors.FV
140 reference(s)		84-VisualisationRelief.01.vv.Fra
139 reference(s)
85-UlamSpiral.01.Ang
138 reference(s)		86-Galerie_SignalProcessing.FV
138 reference(s)
87-EnsembleDesGaleries.DIAPO.0947
137 reference(s)		88-Informations_AboutPicturesAnimationsAndFiles.01.Ang
136 reference(s)
89-NombresPremiers_10000.vv
135 reference(s)		90-EnsembleDesGaleries.DIAPO.0949
135 reference(s)
91-OrdinateursEtCalculs.01.Ang
134 reference(s)		92-ImpossibleStructures.01.Ang
134 reference(s)
93-Galerie_FluidMechanics.FV
134 reference(s)		94-create.03.
133 reference(s)
95-RasoirDOccamEtMathematiques.01.vv.Fra
133 reference(s)		96-PatrimoineHumanite.02.Fra
133 reference(s)
97-MathematiquesPhysiqueFractales.01
133 reference(s)		98-EnsembleDesGaleries.DIAPO.0948
133 reference(s)
99-infinity.02.vv
132 reference(s)		100-Fractal.02
132 reference(s)
101-EnsembleDesGaleries.DIAPO.0951
132 reference(s)		102-EnsembleDesGaleries.DIAPO.0950
132 reference(s)
103-OrdinateurMathematiquesArt.01.Fra
131 reference(s)		104-EnsembleDesGaleries.DIAPO.0945
131 reference(s)
105-EnsembleDesGaleries.DIAPO.0001
131 reference(s)		106-Commentaires_EscargotDeJeener.01
131 reference(s)
107-MathematiquesEtRepresentations.01.vv.Ang
130 reference(s)		108-ManyChaos.01.Fra
130 reference(s)
109-ManyChaos.01.Ang
130 reference(s)		110-EnsembleDesGaleries.DIAPO.0952
130 reference(s)
111-NombresEtLumiere.01.vv.Fra
129 reference(s)		112-MonodimensionalCellularAutomata.01.Ang
129 reference(s)
113-IllusionConnaissance.01
129 reference(s)		114-EnsembleDesGaleriesFractales.DIAPO.0001
129 reference(s)
115-Commentaires_DefinitionOperateursCorpsR.01
129 reference(s)		116-subject.01.
128 reference(s)
117-VirtualChaos.01.Ang
128 reference(s)		118-MathematiquesModeleOutilArtiste.02.Ang
128 reference(s)
119-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
128 reference(s)		120-EnsembleDesGaleries.DIAPO.0953
128 reference(s)
121-Commentaires_DefinitionQuaternions.01
128 reference(s)		122-infinity.01.vv
127 reference(s)
123-RemarquesCerveau.01
127 reference(s)		124-FaireDesMathematiques.01.Fra
127 reference(s)
125-EnsembleDesGaleries.DIAPO.0954
127 reference(s)		126-ExpV_VirE.Ang
126 reference(s)
127-EnsembleDesGaleries.DIAPO.0727
126 reference(s)		128-ArtScience.01
126 reference(s)

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




Copyright © Jean-François COLONNA, 2019-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2024.