Monthly Best Of on 08/28/2021




Fractal landscape interpolation

Jean-François COLONNA
[Contact me]

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 08/28/2021 and last updated on 11/16/2023 16:50:19 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
1-59 reference(s)		 Untitled 0004
2-58 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
3-46 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
4-45 reference(s)
The bidimensional John Conway's life game
5-45 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
6-44 reference(s)		 Artistic view of the prime numbers
7-44 reference(s)		 The Möbius strip
8-43 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
9-42 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
10-42 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
11-42 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-
12-42 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
13-42 reference(s)		 Bidimensional geometrical texture animation
14-41 reference(s)		 The random walk of photons escaping the Sun
15-41 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-
16-41 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-
17-41 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-
18-41 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-
19-41 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-
20-41 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
21-41 reference(s)		 Tridimensional texture animation by means of the Generalized Product
22-41 reference(s)		 Bidimensional texture animation by means of the Generalized Product
23-41 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
24-41 reference(s)
From Mars to the Sun
25-41 reference(s)		 Tridimensional zoom in on the Mandelbrot set
26-41 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
27-41 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
28-41 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)
29-41 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
30-38 reference(s)		 Autostereogram with an hidden volcano
31-37 reference(s)		 The first four iterations of the construction of the von Koch snowflake
32-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-33 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
34-32 reference(s)		 Black dots on a square lattice
35-31 reference(s)		 A special Klein bottle
36-29 reference(s)
The configuration entropy of a set of n=64 particles
37-27 reference(s)		 The Lorenz attractor
38-26 reference(s)		 Quantum vacuum fluctuations
39-25 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
40-25 reference(s)
A 4-cube -an hypercube-
41-25 reference(s)		 Pseudo Olympic Rings
42-24 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
43-24 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
44-23 reference(s)
Happy new year 2000
45-21 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
46-20 reference(s)		 The random walk of photons escaping the Sun
47-18 reference(s)		 An interpolation between the quadruple Jeener bottle and the octuple Jeener bottle defined by means of three bidimensional fields
48-18 reference(s)
The CMAP logo
49-18 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
50-17 reference(s)		 The generalized Ulam spiral
51-17 reference(s)		 Happy new year 2000
52-17 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
53-17 reference(s)		 A fractal Möbius strip
54-17 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
55-17 reference(s)		 Autostereogram with an hidden volcano
56-16 reference(s)
Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms
57-16 reference(s)		 Gravitation and space-time curvature
58-15 reference(s)		 The generalized Ulam spiral displaying 100 numbers
59-15 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
60-15 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
61-14 reference(s)		 Autostereogram with an hidden volcano
62-14 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
63-14 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
64-14 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
65-14 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
66-14 reference(s)		 The Bonan-Jeener-Klein triple bottle
67-14 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
68-13 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-13 reference(s)		 The Sierpinski carpet -iteration 2-
70-13 reference(s)		 Fractal natural form
71-13 reference(s)		 4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
72-13 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
73-13 reference(s)		 Foggy soft Archimedes mountains
74-13 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
75-13 reference(s)		 The Lorenz attractor
76-13 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
77-13 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
78-13 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
79-12 reference(s)		 Autostereogram with an hidden volcano
80-12 reference(s)
A tridimensional distorted cubic mesh defined by means of three tridimensional fields
81-12 reference(s)		 True colors autostereogram of a fractal landscape
82-12 reference(s)		 Sixteen portraits (Lena)with an increasing size of the pixels -from 1 to 16-
83-12 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)
84-12 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
85-12 reference(s)		 Jean-François COLONNA
86-12 reference(s)		 Tridimensional fractal structure
87-12 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
88-12 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
89-11 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
90-11 reference(s)		 Victor Vasarely meets Piet Mondrian
91-11 reference(s)		 The Klein bottle
92-11 reference(s)
Quark and gluon structure of the meson
93-11 reference(s)		 A half-random extended Menger sponge -iteration 5-
94-11 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
95-11 reference(s)		 Random quadrangulation of the volume of a sphere -18x18x18-
96-11 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
97-11 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
98-11 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
99-11 reference(s)		 The Klein bottle
100-11 reference(s)
The Jeener-Klein triple bottle
101-11 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
102-10 reference(s)		 Quantum vacuum fluctuations
103-10 reference(s)		 Artistic view of an aperiodic Penrose tiling of the Golden Decagon
104-10 reference(s)
An aperiodic Penrose tiling of the plane
105-10 reference(s)		 The random walk of photons escaping the Sun
106-10 reference(s)		 A Lissajous surface in motion
107-10 reference(s)		 The double reflection -green- of a small regular tetrahedron -center red-
108-10 reference(s)
The extended Borromean Rings
109-10 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
110-10 reference(s)		 4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
111-10 reference(s)		 IMAGE_INEXISTANTE=OBJC.R1___1_______.11.1.RLE1
112-10 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
113-10 reference(s)		 Tridimensional high resolution visualization of an extended Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
114-10 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
115-10 reference(s)		 The Goldbach conjecture
116-10 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
117-10 reference(s)		 A Tribute to Sandro Botticelli (1974-1975)
118-10 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
119-10 reference(s)		 'Le bouquet tout fait' -a Tribute to René Magritte and Sandro Botticelli-
120-10 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
121-10 reference(s)		 Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
122-9 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
123-9 reference(s)		 Artistic view of the Big Bang
124-9 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
125-9 reference(s)		 Synthesis of bidimensional geometrical textures
126-9 reference(s)		 Bidimensional cross-sections of the Klein bottle
127-9 reference(s)		 'There is a war' -a Tribute to Leonard Cohen-
128-9 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
921 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
353 reference(s)
3-Galerie_NumberTheory.FV
334 reference(s)		 4-An2000.01.Fra
297 reference(s)
5-Stereogrammes_AutoStereogrammes.01
249 reference(s)		 6-Galerie_ArtAndScience.FV
243 reference(s)
7-Galerie_GeneralitiesVisualization.FV
231 reference(s)		 8-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
228 reference(s)
9-Galerie_ArtisticCreation.FV
222 reference(s)		 10-RealNumbers.01.Fra
208 reference(s)
11-Vcatalogue.11
203 reference(s)		 12-Fractal.01
187 reference(s)
13-EntrelacsIntertwinings.01.Fra
187 reference(s)		 14-demo
183 reference(s)
15-an2000
183 reference(s)		 16-demo.14
182 reference(s)
17-GoldenTriangle.01.Fra
182 reference(s)		 18-Galerie_ParticleSystems.FV
182 reference(s)
19-genielogiciel
181 reference(s)		 20-SurfaceProjector.01.Fra
181 reference(s)
21-demo14
180 reference(s)		 22-Galerie_CelestialMechanics.FV
180 reference(s)
23-realnumbers
179 reference(s)		 24-nombresreels
179 reference(s)
25-logiciel
179 reference(s)		 26-help.
178 reference(s)
27-Galerie_DeterministicFractalGeometry.FV
176 reference(s)		 28-mail.01.vv
170 reference(s)
29-Galerie_NewPictures.FV
170 reference(s)		 30-MorePages.
167 reference(s)
31-Galerie_QuantumMechanics.FV
164 reference(s)		 32-galerie_numbertheory.fv
162 reference(s)
33-SurfaceProjector.01.Ang
162 reference(s)		 34-LOG_xiMc.11
162 reference(s)
35-AProposSite.01.Fra
161 reference(s)		 36-copyright.01.
159 reference(s)
37-Fractal.03
154 reference(s)		 38-FloatingPointNumbers.01.Fra
154 reference(s)
39-Galerie_TextureSynthesis.FV
153 reference(s)		 40-Fractal.11
153 reference(s)
41-AnimFractal.01.
153 reference(s)		 42-VirtualChaos.01.Fra
152 reference(s)
43-MathematiquesPhysiqueFractales.02
152 reference(s)		 44-Galerie_ImagesDesMathematiques.FV
152 reference(s)
45-ExpV_VirE.Ang
152 reference(s)		 46-ImagesDuVirtuel.01.Fra.FV
150 reference(s)
47-UlamSpiral.01.Fra
148 reference(s)		 48-EntrelacsIntertwinings.01.Ang
147 reference(s)
49-ImpossibleStructures.01.Ang
146 reference(s)		 50-Web_Mail.01.vv
145 reference(s)
51-AVirtualSpaceTimeTravelMachine.Fra
145 reference(s)		 52-ImagesDuVirtuel.01.Fra
141 reference(s)
53-Galerie_DeterministicChaos.FV
141 reference(s)		 54-FloatingPointNumbers.01.Ang
141 reference(s)
55-LeParadoxeDeFermi.01.Fra
140 reference(s)		 56-Informations_GoodNewsAndBadNews.01.Ang
140 reference(s)
57-ImpossibleStructures.01.Fra
140 reference(s)		 58-Fractal.21
140 reference(s)
59-MonodimensionalCellularAutomata.01.Ang
139 reference(s)		 60-ExpV_VirE.11
139 reference(s)
61-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
139 reference(s)		 62-NDimensionalDeterministicFractalSets.01.Ang
138 reference(s)
63-Kepler.02.
138 reference(s)		 64-Informations_AboutPicturesAnimationsAndFiles.01.Ang
138 reference(s)
65-DieuScience.01.Fra
138 reference(s)		 66-Galerie_SensitivityToRoundingOffErrors.FV
137 reference(s)
67-Galerie_ImagesDidactiques.FV
137 reference(s)		 68-Galerie_Astrophysics.FV
137 reference(s)
69-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
136 reference(s)		 70-NatureDesMathematiques.01.vv.Fra
134 reference(s)
71-GoldenTriangle.01.Ang
134 reference(s)		 72-infinity.01.vv
133 reference(s)
73-GenieLogiciel_VisualisationScientifique.01.vv
133 reference(s)		 74-Galerie_AnthropomorphicPatterns.FV
133 reference(s)
75-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
132 reference(s)		 76-GenieLogiciel.01.Fra
132 reference(s)
77-Galerie_Tributes.FV
132 reference(s)		 78-OrdinateurMathematiquesArt.01.Fra
131 reference(s)
79-NDimensionalDeterministicFractalSets.01.Fra
131 reference(s)		 80-MonodimensionalCellularAutomata.01.Fra
131 reference(s)
81-Galerie_FluidMechanics.FV
131 reference(s)		 82-subject.01.
130 reference(s)
83-OrdinateursEtCalculs.01.Ang
130 reference(s)		 84-ExpV_VirE.21
130 reference(s)
85-Commentaires_EnsembleJuliaOctonion.01
130 reference(s)		 86-UlamSpiral.01.Ang
129 reference(s)
87-Galerie_SignalProcessing.FV
129 reference(s)		 88-An2000.01.Ang
129 reference(s)
89-VirtualChaos.01.Ang
128 reference(s)		 90-PerteDeLAssociativite.01
128 reference(s)
91-Informations_GoodNewsAndBadNews.01.Fra
128 reference(s)		 92-Galerie_BestOf.FV
128 reference(s)
93-galerie_artisticcreation.fv
127 reference(s)		 94-MathematiquesPhysiqueFractales.12
127 reference(s)
95-galerie_generalitiesvisualization.fv
126 reference(s)		 96-DieuScience.01.Ang
126 reference(s)
97-DecimalesPi_1_100.vv
126 reference(s)		 98-Galerie_NewPictures
125 reference(s)
99-Exposition_MairieCinquiemeArrondissementParis_202001_202002
125 reference(s)		 100-present.01.
124 reference(s)
101-Pcatalogue.11
124 reference(s)		 102-MathematiquesPhysiqueFractales.22
124 reference(s)
103-Galerie_SalonDAutomne.FV
124 reference(s)		 104-catalogue.11
123 reference(s)
105-ManyChaos.01.Ang
123 reference(s)		 106-IllusionConnaissance.02
123 reference(s)
107-Autostereograms.01.
123 reference(s)		 108-AQuoiServentLesMathematiques.01
123 reference(s)
109-infinity.02.vv
122 reference(s)		 110-PerteDeLAssociativite.01.ADD3
122 reference(s)
111-Notations_Intersection.01
122 reference(s)		 112-FaireDeLaRecherche.01.vv
122 reference(s)
113-BEST.20130528
122 reference(s)		 114-create.03.
121 reference(s)
115-NombresEtLumiere.01.vv.Fra
121 reference(s)		 116-Exposition_EcolePolytechnique_FeteDeLaScience_201910
121 reference(s)
117-DuModeleALImage.02.Fra
121 reference(s)		 118-Ariane501.01.Fra
121 reference(s)
119-Spheres.01
120 reference(s)		 120-RemarquesCerveau.01
120 reference(s)
121-FaireDesMathematiques.01.Fra
120 reference(s)		 122-Commentaires_DefinitionPseudoQuaternions.01
120 reference(s)
123-BEST.20130828
120 reference(s)		 124-galerie_particlesystems.fv
119 reference(s)
125-ManyChaos.01.Fra
119 reference(s)		 126-LeParadoxeDeFermi.01.Ang
119 reference(s)
127-HommageBenoitMandelbrot.21
119 reference(s)		 128-ExpV_VirE.Fra
119 reference(s)

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




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