Monthly Best Of on 11/28/2021




Linear landscape interpolation with fog

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 11/28/2021 and last updated on 11/14/2023 17:50:17 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Artistic view of the prime numbers
1-89 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
2-52 reference(s)		 Untitled 0004
3-49 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
4-46 reference(s)
The numerical irreversibility of the bidimensional billiard -1376 particles-
5-44 reference(s)		 The random walk of photons escaping the Sun
6-43 reference(s)		 The bidimensional John Conway's life game
7-43 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
8-41 reference(s)
Autostereogram with an hidden volcano
9-38 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-
10-37 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
11-37 reference(s)		 From Mars to the Sun
12-37 reference(s)
Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
13-36 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
14-36 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-
15-36 reference(s)		 Tridimensional zoom in on the Mandelbrot set
16-36 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-
17-35 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
18-35 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
19-35 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
20-35 reference(s)
The Möbius strip
21-35 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
22-35 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)
23-35 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
24-35 reference(s)
Bidimensional geometrical texture animation
25-34 reference(s)		 The numerical reversibility of the bidimensional billiard -192 particles-
26-34 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-
27-34 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-
28-34 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-
29-34 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
30-34 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
31-34 reference(s)		 Tridimensional texture animation by means of the Generalized Product
32-34 reference(s)
Bidimensional texture animation by means of the Generalized Product
33-34 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
34-34 reference(s)		 Autostereogram with an hidden volcano
35-33 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
36-32 reference(s)
The numerical irreversibility of the bidimensional billiard -336 particles-
37-30 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-30 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
39-30 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
40-30 reference(s)
The random walk of photons escaping the Sun
41-29 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
42-28 reference(s)		 Autostereogram with an hidden ring and ghost bows
43-27 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
44-27 reference(s)
The Syracuse conjecture for U(0)={5,6,7,8,...,68} -'pseudo-ramdom walk' display: 'The Syracuse Sun'-
45-26 reference(s)		 The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year
46-26 reference(s)		 The numerical irreversibility of the bidimensional billiard -768 particles-
47-25 reference(s)		 Black dots on a square lattice
48-25 reference(s)
The Bonan-Jeener-Klein triple bottle
49-25 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
50-24 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
51-24 reference(s)		 The Klein bottle defined by means of three bidimensional fields
52-23 reference(s)
A medium with percolation -top to bottom- using the 4-connexity
53-23 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-23 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
55-22 reference(s)		 A fractal Möbius strip
56-22 reference(s)
The alternative use of two elementary monodimensional binary cellular automata -168,165- with 1 white starting point -bottom middle-
57-22 reference(s)		 An aperiodic Penrose tiling of the plane
58-21 reference(s)		 The erosion of the Menger sponge -iteration 5-
59-21 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
60-21 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
61-20 reference(s)		 Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms
62-20 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
63-20 reference(s)		 Quantum vacuum fluctuations
64-19 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
65-19 reference(s)		 The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year
66-19 reference(s)		 Happy new year 2000
67-19 reference(s)		 A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
68-19 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
69-19 reference(s)		 The first four iterations of the construction of the von Koch snowflake
70-18 reference(s)		 An aperiodic Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-
71-18 reference(s)		 The generalized Ulam spiral
72-18 reference(s)
My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
73-18 reference(s)		 An aperiodic Penrose tiling of the plane
74-17 reference(s)		 The random walk of photons escaping the Sun
75-17 reference(s)		 Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
76-17 reference(s)
Color palette 'arc_ciel.D2'
77-17 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
78-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
79-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
80-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
81-17 reference(s)		 The Klein bottle
82-17 reference(s)		 The Jeener-Klein triple bottle
83-17 reference(s)		 Quantum vacuum fluctuations
84-16 reference(s)
Impressionist view of the magical forest
85-16 reference(s)		 A pay slip
86-16 reference(s)		 A surface between the Möbius strip and the Klein bottle defined by means of three bidimensional fields
87-16 reference(s)		 A 'crumpled' Klein bottle defined by means of three bidimensional fields
88-16 reference(s)
The generalized Ulam spiral displaying 1024 numbers
89-16 reference(s)		 The Lorenz attractor
90-16 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
91-16 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
92-16 reference(s)
The construction process of an aperiodic Penrose tiling -a zoom in on the aperiodic Penrose tiling-
93-15 reference(s)		 An aperiodic Penrose tiling of the plane
94-15 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,260} -'pseudo-ramdom walk' display: 'The Syracuse Supernova'-
95-15 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-15 reference(s)
Autostereogram with an hidden volcano
97-15 reference(s)		 Fractal natural form
98-15 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
99-15 reference(s)		 Untitled 0380
100-15 reference(s)
True colors autostereogram of a fractal landscape
101-15 reference(s)		 Quark and gluon structure of a nucleon
102-15 reference(s)		 Quark and gluon structure of a nucleon
103-15 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
104-15 reference(s)
The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
105-15 reference(s)		 Bidimensional zoom in on the Mandelbrot set
106-15 reference(s)		 Hypercube
107-15 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
108-15 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
109-15 reference(s)		 Tridimensional fractal cross -iteration 4-
110-15 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
111-15 reference(s)		 The Jeener-Klein triple bottle
112-15 reference(s)
An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
113-14 reference(s)		 A medium with percolation -top to bottom- using the 8-connexity
114-14 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)
115-14 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
116-14 reference(s)
La Génèse (1974)
117-14 reference(s)		 Tridimensional fractal structure
118-14 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
119-14 reference(s)		 An aperiodic Penrose tiling of the plane
120-13 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
121-13 reference(s)		 Coalescence of 972 particles -black holes?- on a bidimensional rectangular billiard
122-13 reference(s)		 A tridimensional distorted cubic mesh defined by means of three tridimensional fields
123-13 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
124-13 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
125-13 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
126-13 reference(s)		 The Goldbach conjecture
127-13 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
407 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
385 reference(s)
3-An2000.01.Fra
352 reference(s)		 4-Vcatalogue.11
279 reference(s)
5-Galerie_GeneralitiesVisualization.FV
200 reference(s)		 6-help.
197 reference(s)
7-ImagesEncadreesDisponibles.01
196 reference(s)		 8-Galerie_NumberTheory.FV
183 reference(s)
9-Galerie_ArtisticCreation.FV
169 reference(s)		 10-Fractal.11
167 reference(s)
11-Galerie_ParticleSystems.FV
163 reference(s)		 12-RealNumbers.01.Fra
162 reference(s)
13-SurfaceProjector.01.Fra
159 reference(s)		 14-An2000.01.Ang
157 reference(s)
15-mail.01.vv
155 reference(s)		 16-Galerie_ArtAndScience.FV
153 reference(s)
17-logiciel
147 reference(s)		 18-genielogiciel
147 reference(s)
19-demo14
147 reference(s)		 20-an2000
147 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
147 reference(s)		 22-realnumbers
146 reference(s)
23-nombresreels
146 reference(s)		 24-demo.14
146 reference(s)
25-Galerie_DeterministicFractalGeometry.FV
146 reference(s)		 26-AVirtualSpaceTimeTravelMachine.Fra
146 reference(s)
27-demo
145 reference(s)		 28-LOG_xiMc.11
138 reference(s)
29-Web_Mail.01.vv
134 reference(s)		 30-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
132 reference(s)
31-copyright.01.
131 reference(s)		 32-MathematiquesPhysiqueFractales.12
131 reference(s)
33-Galerie_ImagesDidactiques.FV
131 reference(s)		 34-ExpV_VirE.11
130 reference(s)
35-NDimensionalDeterministicFractalSets.01.Fra
128 reference(s)		 36-AnimFractal.01.
128 reference(s)
37-GenieLogiciel_VisualisationScientifique.01.vv
127 reference(s)		 38-FloatingPointNumbers.01.Ang
127 reference(s)
39-EntrelacsIntertwinings.01.Ang
126 reference(s)		 40-Fractal.01
125 reference(s)
41-Stereogrammes_AutoStereogrammes.01
124 reference(s)		 42-AProposSite.01.Fra
124 reference(s)
43-present.01.
122 reference(s)		 44-Commentaires_NKleinBottle.01
122 reference(s)
45-FloatingPointNumbers.01.Fra
121 reference(s)		 46-SurfaceProjector.01.Ang
118 reference(s)
47-Informations_AboutPicturesAnimationsAndFiles.01.Ang
118 reference(s)		 48-Galerie_ImagesDesMathematiques.FV
118 reference(s)
49-Galerie_CelestialMechanics.FV
118 reference(s)		 50-Commentaires_EnsembleJuliaOctonion.01
117 reference(s)
51-UlamSpiral.01.Fra
115 reference(s)		 52-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
115 reference(s)
53-ImagesDuVirtuel.01.Fra.FV
115 reference(s)		 54-Galerie_FluidMechanics.FV
114 reference(s)
55-EntrelacsIntertwinings.01.Fra
114 reference(s)		 56-Galerie_Tributes.FV
113 reference(s)
57-catalogue.11
112 reference(s)		 58-OrdinateursEtCalculs.01.Ang
112 reference(s)
59-Galerie_SignalProcessing.FV
112 reference(s)		 60-Galerie_QuantumMechanics.FV
112 reference(s)
61-Galerie_NewPictures.FV
112 reference(s)		 62-Galerie_NewPictures
112 reference(s)
63-Fractal.21
112 reference(s)		 64-MathematiquesPhysiqueFractales.22
111 reference(s)
65-Informations_GoodNewsAndBadNews.01.Fra
111 reference(s)		 66-GoldenTriangle.01.Fra
111 reference(s)
67-MonodimensionalCellularAutomata.01.Ang
110 reference(s)		 68-Galerie_DeterministicChaos.FV
110 reference(s)
69-Commentaires_DefinitionPseudoQuaternions.01
110 reference(s)		 70-MathematiquesPhysiqueFractales.02
109 reference(s)
71-PerteDeLAssociativite.01
108 reference(s)		 72-NDimensionalDeterministicFractalSets.01.Ang
108 reference(s)
73-ImpossibleStructures.01.Ang
108 reference(s)		 74-Galerie_Astrophysics.FV
108 reference(s)
75-PatrimoineHumanite.02.Fra
106 reference(s)		 76-MonodimensionalCellularAutomata.01.Fra
106 reference(s)
77-Galerie_SensitivityToRoundingOffErrors.FV
106 reference(s)		 78-BEST.20171128
106 reference(s)
79-subject.01.
105 reference(s)		 80-infinity.01.vv
105 reference(s)
81-Informations_GoodNewsAndBadNews.01.Ang
105 reference(s)		 82-GenieLogiciel.01.Fra
105 reference(s)
83-Commentaires_EspaceLyapunovComplexe.01
105 reference(s)		 84-PerteDeLAssociativite.01.ADD3
104 reference(s)
85-NatureDesMathematiques.01.vv.Fra
104 reference(s)		 86-ImagesDuVirtuel.01.Fra
104 reference(s)
87-Autostereograms.01.
104 reference(s)		 88-Kepler.02.
103 reference(s)
89-DecimalesPi_1_100.vv
103 reference(s)		 90-DecimalesPi_100000.vv
102 reference(s)
91-Commentaires_DefinitionQuaternions.01
102 reference(s)		 92-MorePages.
101 reference(s)
93-Commentaires_DefinitionPseudoOctonions.01
101 reference(s)		 94-BEST.20171028
101 reference(s)
95-SourceExemple_____xrq_____hydrogene.61.K.
100 reference(s)		 96-Commentaires_Tore.01
100 reference(s)
97-VirtualChaos.01.Fra
99 reference(s)		 98-NombresPremiers_10000.vv
99 reference(s)
99-NombresEtLumiere.01.vv.Fra
99 reference(s)		 100-Galerie_TextureSynthesis.FV
99 reference(s)
101-Exposition_MairieCinquiemeArrondissementParis_202001_202002
99 reference(s)		 102-ExpV_VirE.Fra
99 reference(s)
103-DieuScience.01.Fra
99 reference(s)		 104-AQuoiServentLesMathematiques.01
99 reference(s)
105-Pcatalogue.11
98 reference(s)		 106-MathematiquesPhysiqueFractales.02.1
98 reference(s)
107-GoldenTriangle.01.Ang
98 reference(s)		 108-Galerie_AnthropomorphicPatterns.FV
98 reference(s)
109-Commentaires_EnsembleMandelbrotOctonion.01
98 reference(s)		 110-Commentaires_DefinitionOctonions.01
98 reference(s)
111-Commentaires_DefinitionComplexes.01
98 reference(s)		 112-UlamSpiral.01.Ang
97 reference(s)
113-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
97 reference(s)		 114-Fractal.03
97 reference(s)
115-FaireDeLaRecherche.01.vv
97 reference(s)		 116-Exposition_EcolePolytechnique_FeteDeLaScience_201910
97 reference(s)
117-ConjectureDeSyracuse_0256.vv
97 reference(s)		 118-Commentaires_EnsembleMandelbrotComplexe.01
97 reference(s)
119-PerteDeLAssociativite.01.MUL3
96 reference(s)		 120-LeParadoxeDeFermi.01.Ang
96 reference(s)
121-ImpossibleStructures.01.Fra
96 reference(s)		 122-Commentaires_Epicycloide.03
96 reference(s)
123-Commentaires_EnsembleMandelbrotQuaternion.01
96 reference(s)		 124-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
95 reference(s)
125-VirtualChaos.01.Ang
95 reference(s)		 126-LesApprentisDieux.01
95 reference(s)
127-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
95 reference(s)		 128-BEST.20080828
95 reference(s)

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Copyright © Jean-François COLONNA, 2021-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2021-2023.