Monthly Best Of on 03/28/2021




Elliptical landscape interpolation (bird's-eye view)

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 03/28/2021 and last updated on 10/03/2024 17:04:16 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram with an hidden volcano
1-59 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
2-57 reference(s)		The bidimensional John Conway's life game
3-53 reference(s)		The random walk of photons escaping the Sun
4-49 reference(s)
Bidimensional zoom in on the Mandelbrot set
5-46 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
6-45 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
7-42 reference(s)		Black dots on a square lattice
8-42 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
9-41 reference(s)		The random walk of photons escaping the Sun
10-41 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
11-41 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-41 reference(s)
A blue Sponge-tree -a Tribute to Yves Klein-
13-39 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
14-38 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
15-38 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
16-38 reference(s)
The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
17-37 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
18-37 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
19-37 reference(s)		Tridimensional texture animation by means of the Generalized Product
20-37 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
21-37 reference(s)		The 'exponential' spreading of a tridimensional epidemic -the COVID-19 coronavirus?- without confinement -1430 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
22-36 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 50% infection, starting with just one infected person -red particle on bottom left picture-
23-36 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 50% infection, starting with just one infected person -red particle on bottom left picture-
24-36 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
25-36 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
26-36 reference(s)		Bidimensional texture animation by means of the Generalized Product
27-36 reference(s)		From Mars to the Sun
28-36 reference(s)
Bidimensional geometrical texture animation
29-35 reference(s)		Autostereogram with an hidden volcano
30-35 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 100% infection, starting with just one infected person -red particle on bottom left picture-
31-35 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
32-35 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-
33-35 reference(s)		The Möbius strip
34-35 reference(s)		Tridimensional zoom in on the Mandelbrot set
35-35 reference(s)		The front of a forest fire -white- obtained by means of a bidimensional random walk process (bird's-eye view, zoom in on the first steps)
36-35 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
37-35 reference(s)		Untitled 0004
38-33 reference(s)		Artistic view of the prime numbers
39-33 reference(s)		The Universe at the heart of a Calabi-Yau manifold
40-32 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-32 reference(s)		Autostereogram with an hidden volcano
42-31 reference(s)		The Lorenz attractor
43-30 reference(s)		A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
44-29 reference(s)
The random walk of photons escaping the Sun
45-28 reference(s)		The Ulam spiral
46-28 reference(s)		The generalized Ulam spiral displaying 1024 numbers
47-28 reference(s)		Untitled 0369
48-28 reference(s)
Along the border of the Mandelbrot set
49-26 reference(s)		Happy new year 2000
50-26 reference(s)		The seven first bifurcation levels (over fifteen)of the human lung tree
51-24 reference(s)		The first four iterations of the construction of the von Koch snowflake
52-23 reference(s)
A spherical cross-section inside the Menger Sponge -iteration 5-
53-23 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
54-23 reference(s)		The Jeener-Klein triple bottle
55-23 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
56-22 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
57-22 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
58-22 reference(s)		About the length of the von Koch curve
59-21 reference(s)		Quantum vacuum fluctuations
60-21 reference(s)
Autostereogram of the CMAP
61-20 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
62-20 reference(s)		The generalized Ulam spiral displaying 100 numbers
63-20 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
64-19 reference(s)
Autostereogram with an hidden volcano
65-19 reference(s)		A pseudo-octonionic Mandelbrot set -tridimensional cross-section-
66-19 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
67-19 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
68-19 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 2-
69-18 reference(s)		An aperiodic Penrose tiling of the plane
70-18 reference(s)		An aperiodic Penrose tiling of the plane
71-18 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
72-18 reference(s)
The generalized Ulam spiral
73-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
74-18 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
75-18 reference(s)		Autostereogram with an hidden ring and ghost bows
76-17 reference(s)
A pay slip
77-17 reference(s)		The Simpson paradox
78-17 reference(s)		Quark and gluon structure of a nucleon
79-17 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
80-17 reference(s)
The Menger Sponge -iteration 5-
81-17 reference(s)		Sixteen interlaced fractal torus
82-17 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-17 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
84-17 reference(s)
An aperiodic Penrose tiling of the plane
85-16 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
86-16 reference(s)		Cauliflowers, seaweeds, shells,...
87-16 reference(s)		Fractal natural form
88-16 reference(s)
Pseudo Olympic Rings
89-16 reference(s)		The generalized Ulam spiral displaying 2025 numbers
90-16 reference(s)		Bidimensional zoom in on the Mandelbrot set
91-16 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
92-16 reference(s)
Hypercube
93-16 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 3-
94-15 reference(s)		An aperiodic Penrose tiling of the plane
95-15 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-15 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
97-15 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
98-15 reference(s)		A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
99-15 reference(s)		The Klein bottle defined by means of three bidimensional fields
100-15 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
101-15 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
102-15 reference(s)		The Bonan-Jeener-Klein triple bottle
103-15 reference(s)		The Jeener-Klein triple bottle
104-15 reference(s)
Some of the most beautiful fractal pictures
105-15 reference(s)		The construction process of the von Koch curve
106-14 reference(s)		Quantum vacuum fluctuations
107-14 reference(s)		Artistic view of the Big Bang
108-14 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
109-14 reference(s)		A truncated tridimensional torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
110-14 reference(s)		Autostereogram with an hidden volcano
111-14 reference(s)		Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
112-14 reference(s)
A tridimensional distorted cubic mesh defined by means of three tridimensional fields
113-14 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
114-14 reference(s)		From Pluto to the Sun (non linear scales)
115-14 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
116-14 reference(s)
Tridimensional display of an aperiodic Penrose tiling of the plane with a fractal noise
117-13 reference(s)		A truncated tridimensional sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
118-13 reference(s)		The Sierpinski Carpet -iteration 3-
119-13 reference(s)		A computer room in the eighties -Courtesy of Philippe Lavialle-
120-13 reference(s)
4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
121-13 reference(s)		Artistic variation on the generalized Ulam spiral displaying 81 numbers
122-13 reference(s)		An Archimedes spiral displaying 1000 numbers
123-13 reference(s)		Sunny Monument Valley
124-13 reference(s)
Quark and gluon structure of a nucleon
125-13 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
126-13 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
127-13 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
539 reference(s)		2-An2000.01.Fra
315 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
309 reference(s)		4-Galerie_NumberTheory.FV
248 reference(s)
5-Stereogrammes_AutoStereogrammes.01
205 reference(s)		6-Vcatalogue.11
200 reference(s)
7-Fractal.01
199 reference(s)		8-help.
183 reference(s)
9-RealNumbers.01.Fra
179 reference(s)		10-Galerie_GeneralitiesVisualization.FV
168 reference(s)
11-Galerie_ArtAndScience.FV
167 reference(s)		12-AProposSite.01.Fra
163 reference(s)
13-mail.01.vv
159 reference(s)		14-FloatingPointNumbers.01.Ang
159 reference(s)
15-Galerie_ArtisticCreation.FV
158 reference(s)		16-Galerie_ParticleSystems.FV
157 reference(s)
17-nombresreels
152 reference(s)		18-genielogiciel
151 reference(s)
19-realnumbers
150 reference(s)		20-logiciel
150 reference(s)
21-demo.14
150 reference(s)		22-demo
149 reference(s)
23-an2000
149 reference(s)		24-demo14
148 reference(s)
25-SurfaceProjector.01.Ang
148 reference(s)		26-Galerie_NewPictures.FV
146 reference(s)
27-GenieLogiciel_VisualisationScientifique.01.vv
145 reference(s)		28-SurfaceProjector.01.Fra
144 reference(s)
29-GoldenTriangle.01.Fra
144 reference(s)		30-EntrelacsIntertwinings.01.Fra
143 reference(s)
31-Fractal.11
142 reference(s)		32-EntrelacsIntertwinings.01.Ang
142 reference(s)
33-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
141 reference(s)		34-Fractal.21
141 reference(s)
35-copyright.01.
140 reference(s)		36-Galerie_DeterministicFractalGeometry.FV
139 reference(s)
37-Informations_AboutPicturesAnimationsAndFiles.01.Ang
138 reference(s)		38-FloatingPointNumbers.01.Fra
136 reference(s)
39-Galerie_TextureSynthesis.FV
135 reference(s)		40-LOG_xiMc.11
134 reference(s)
41-Autostereograms.01.
134 reference(s)		42-AVirtualSpaceTimeTravelMachine.Fra
133 reference(s)
43-MorePages.
127 reference(s)		44-ExpV_VirE.11
127 reference(s)
45-Galerie_ImagesDesMathematiques.FV
126 reference(s)		46-Galerie_Astrophysics.FV
126 reference(s)
47-Galerie_CelestialMechanics.FV
125 reference(s)		48-Galerie_QuantumMechanics.FV
124 reference(s)
49-UlamSpiral.01.Fra
123 reference(s)		50-AnimFractal.01.
123 reference(s)
51-DieuScience.01.Fra
122 reference(s)		52-subject.01.
120 reference(s)
53-OrdinateursEtCalculs.01.Ang
118 reference(s)		54-MathematiquesPhysiqueFractales.02
118 reference(s)
55-MathematiquesPhysiqueFractales.02.27
117 reference(s)		56-Kepler.02.
116 reference(s)
57-HommageBenoitMandelbrot.21
116 reference(s)		58-Galerie_Tributes.FV
116 reference(s)
59-Galerie_SignalProcessing.FV
116 reference(s)		60-Galerie_SensitivityToRoundingOffErrors.FV
116 reference(s)
61-Galerie_ImagesDidactiques.FV
116 reference(s)		62-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
116 reference(s)
63-infinity.01.vv
115 reference(s)		64-ImagesDuVirtuel.01.Fra.FV
115 reference(s)
65-GenieLogiciel.01.Fra
115 reference(s)		66-Exposition_EcolePolytechnique_FeteDeLaScience_201910
115 reference(s)
67-NDimensionalDeterministicFractalSets.01.Fra
114 reference(s)		68-Galerie_DeterministicChaos.FV
113 reference(s)
69-Galerie_BestOf.FV
113 reference(s)		70-FaireDeLaRecherche.01.vv
113 reference(s)
71-catalogue.11
112 reference(s)		72-DecimalesPi_1_100.vv
112 reference(s)
73-NDimensionalDeterministicFractalSets.01.Ang
111 reference(s)		74-ImpossibleStructures.01.Fra
111 reference(s)
75-ImpossibleStructures.01.Ang
111 reference(s)		76-MathematiquesPhysiqueFractales.12
110 reference(s)
77-Fractal.03
110 reference(s)		78-present.01.
109 reference(s)
79-RasoirDOccamEtMathematiques.01.vv.Fra
109 reference(s)		80-NatureDesMathematiques.01.vv.Fra
109 reference(s)
81-MonodimensionalCellularAutomata.01.Fra
108 reference(s)		82-MonodimensionalCellularAutomata.01.Ang
108 reference(s)
83-GoldenTriangle.01.Ang
108 reference(s)		84-Commentaires_NKleinBottle.01
108 reference(s)
85-Ariane501.01.Fra
108 reference(s)		86-NombresEtLumiere.01.vv.Fra
107 reference(s)
87-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
107 reference(s)		88-infinity.02.vv
106 reference(s)
89-Pcatalogue.11
106 reference(s)		90-Informations_GoodNewsAndBadNews.01.Ang
106 reference(s)
91-Informations_GoodNewsAndBadNews.01.Fra
105 reference(s)		92-Galerie_NewPictures
105 reference(s)
93-VirtualChaos.01.Fra
104 reference(s)		94-UlamSpiral.01.Ang
104 reference(s)
95-Commentaires_DefinitionQuaternions.01
104 reference(s)		96-ArtEtMathematiques.01
104 reference(s)
97-create.03.
103 reference(s)		98-PerteDeLAssociativite.01
103 reference(s)
99-IllusionConnaissance.02
103 reference(s)		100-Galerie_NumbersAndLight.FV
103 reference(s)
101-Galerie_FluidMechanics.FV
103 reference(s)		102-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
103 reference(s)
103-ConjectureDeSyracuse_0128.Parity.vv
103 reference(s)		104-OrdinateursEtCalculs.01.Fra
102 reference(s)
105-OrdinateurMathematiquesArt.01.Fra
102 reference(s)		106-Multivers.01.Fra
102 reference(s)
107-ImagesDuVirtuel.01.Fra
102 reference(s)		108-Exposition_MairieCinquiemeArrondissementParis_202001_202002
102 reference(s)
109-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_3
101 reference(s)		110-MathematiquesPhysiqueFractales.22
101 reference(s)
111-Informations_AboutPicturesAnimationsAndFiles.01.Fra
101 reference(s)		112-Galerie_SalonDAutomne.FV
101 reference(s)
113-ExpV_VirE.Fra
101 reference(s)		114-ArtScience.01
101 reference(s)
115-SIS_CMS5_3
100 reference(s)		116-ManyChaos.01.Ang
100 reference(s)
117-Exposition_EcolePolytechnique_FeteDeLaScience_201810
100 reference(s)		118-Commentaires_DefinitionPseudoQuaternions.01
100 reference(s)
119-AQuoiServentLesMathematiques.01
100 reference(s)		120-RemarquesCerveau.01
99 reference(s)
121-ConjectureDeSyracuse_0256.vv
99 reference(s)		122-AvantPropos.01.Fra
99 reference(s)
123-ArithmetiqueEtOrdinateur.01.vv.Fra
99 reference(s)		124-MathematiquesModeleOutilArtiste.02.Ang
98 reference(s)
125-Fractal.02
98 reference(s)		126-Exposition_EcolePolytechnique_FeteDeLaScience_201510
98 reference(s)
127-ExpV_VirE.21
98 reference(s)		128-DuModeleALImage.02.Fra
98 reference(s)

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




Copyright © Jean-François COLONNA, 2021-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2021-2024.