Monthly Best Of on 01/28/2024




Tridimensional visualization of the Verhulst dynamics

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 01/28/2024 and last updated on 01/29/2024 11:25:04 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-533 reference(s)		 Hypercube
2-146 reference(s)		 Real gravel
3-141 reference(s)		 The Klein bottle in motion
4-98 reference(s)
Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
5-91 reference(s)		 The 8 vertices of a 3-cube
6-87 reference(s)		 A set of spheres with holes
7-82 reference(s)		 The first four iterations of the construction of the von Koch snowflake
8-78 reference(s)
Artistic view of the prime numbers
9-77 reference(s)		 N-dimensional random structure
10-76 reference(s)		 The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)
11-72 reference(s)		 The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (dark grey lines)with display of all the key-points making quadrilaterals (8 red small and a green big one)
12-71 reference(s)
White Hole
13-62 reference(s)		 Autostereogram with an hidden volcano
14-60 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
15-58 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
16-51 reference(s)
The random walk of photons escaping the Sun
17-50 reference(s)		 Autostereogram with an hidden volcano
18-49 reference(s)		 The Sierpinski Carpet -iteration 1 to 5-
19-49 reference(s)		 Untitled 0624
20-49 reference(s)
The generalized Ulam spiral
21-48 reference(s)		 The Lorenz attractor
22-48 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-48 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-47 reference(s)
A medium with percolation -top to bottom- using the 8-connexity
25-46 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
26-45 reference(s)		 Tridimensional visualization of the ABC conjecture
27-45 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
28-43 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
29-42 reference(s)		 Autostereogram of the CMAP
30-42 reference(s)		 A distorded -for the sake of display- 5-cube -an hyperhypercube-
31-42 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
32-42 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
33-41 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
34-41 reference(s)		 A Fractal Cube: an extended Menger Sponge -iteration 1-
35-40 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-40 reference(s)
A close-up of the 'EinStein' aperiodic 'Spectre' tiling
37-39 reference(s)		 A fractal Möbius strip
38-39 reference(s)		 Pseudo Olympic Rings
39-38 reference(s)		 An aperiodic Penrose tiling of the plane
40-36 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
41-36 reference(s)		 The Library of Babel in the style of Vassily Kandinsky -Courtesy of 'www.bing.com'-
42-35 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
43-35 reference(s)		 Happy new year 2000
44-35 reference(s)
Happy new year 2000
45-35 reference(s)		 The Goldbach conjecture
46-35 reference(s)		 Cantor's diagonal argument
47-35 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
48-34 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
49-34 reference(s)		 The Bonan-Jeener-Klein triple bottle
50-34 reference(s)		 Quantum vacuum fluctuation dynamics
51-33 reference(s)		 Along the border of the Mandelbrot set
52-33 reference(s)
Merry Christmas 2023: A Fractal Cube -iteration 2-
53-33 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
54-33 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
55-32 reference(s)		 The level-1 cluster made of 8 'Spectre' tiles including a 'Mystic' (dark grey lines)with display of all the key-points making quadrilaterals (7 red small and a green big one)
56-32 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
57-32 reference(s)		 Botticelli anomaly on the Moon
58-32 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
59-32 reference(s)		 From the infinitely small to the infinitely big
60-32 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
61-32 reference(s)		 The Library of Babel in the style of Praxiteles -Courtesy of 'www.bing.com'-
62-31 reference(s)		 The Library of Babel -Courtesy of 'www.bing.com'-
63-31 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
64-31 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
65-31 reference(s)		 An Impossible Peace
66-31 reference(s)		 Close-up on a foggy 'MandelBox' -tridimensional cross-section-
67-31 reference(s)		 Texture animation by means of Fourier interpolation
68-31 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
69-31 reference(s)		 The Library of Babel in the style of Auguste Rodin -Courtesy of 'www.bing.com'-
70-30 reference(s)		 The Library of Babel in the style of Notre-Dame de Paris -Courtesy of 'www.bing.com'-
71-30 reference(s)		 The Library of Babel in the style of Sandro Botticelli -Courtesy of 'www.bing.com'-
72-30 reference(s)
A punched paper tape
73-30 reference(s)		 An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
74-30 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
75-30 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
76-30 reference(s)
The Library of Babel in the style of Giuseppe Arcimboldo -Courtesy of 'www.bing.com'-
77-29 reference(s)		 The 64 first lines of the Pascal's Triangle
78-29 reference(s)		 The construction process of the Sierpinski Carpet
79-29 reference(s)		 The generalized Ulam spiral
80-29 reference(s)
The Library of Babel in the style of Claude Monet -Courtesy of 'www.bing.com'-
81-28 reference(s)		 The Library of Babel in the style of Claude Monet -Courtesy of 'www.bing.com'-
82-28 reference(s)		 The Library of Babel in the style of Jean-Baptiste Camille Corot -Courtesy of 'www.bing.com'-
83-28 reference(s)		 The Library of Babel -Courtesy of 'www.bing.com'-
84-28 reference(s)
Quantum vacuum fluctuations
85-28 reference(s)		 An aperiodic Penrose tiling of the plane
86-28 reference(s)		 An aperiodic Penrose tiling of the plane
87-28 reference(s)		 A tridimensional field
88-28 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
89-28 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
90-28 reference(s)		 A pay slip
91-28 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
92-28 reference(s)
A variable Archimedes spiral displaying 1000 numbers
93-28 reference(s)		 The 127.235 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
94-28 reference(s)		 Quark and gluon structure of a nucleon
95-28 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
96-28 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
97-28 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
98-28 reference(s)		 A fractal sphere
99-28 reference(s)		 The Jeener-Klein triple bottle
100-28 reference(s)
The Library of Babel in the style of Claude Monet -Courtesy of 'www.bing.com'-
101-27 reference(s)		 The Library of Babel in the style of Benoît Mandelbrot -Courtesy of 'www.bing.com'-
102-27 reference(s)		 The Library of Babel in the style of Sandro Botticelli -Courtesy of 'www.bing.com'-
103-27 reference(s)		 The Library of Babel -Courtesy of 'www.bing.com'-
104-27 reference(s)
The Library of Babel in the style of Giuseppe Arcimboldo -Courtesy of 'www.bing.com'-
105-27 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
106-27 reference(s)		 The random walk of photons escaping the Sun
107-27 reference(s)		 The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)
108-27 reference(s)
A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling
109-27 reference(s)		 Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
110-27 reference(s)		 The Sierpinski Carpet -iteration 3-
111-27 reference(s)		 Bidimensional billiard with 54 still -initially- particles submitted to an repulsive central field of gravity
112-27 reference(s)
A regular 8-gon -an octogon-
113-27 reference(s)		 Mountains and fog
114-27 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
115-27 reference(s)		 Mountains and light clouds
116-27 reference(s)
The Menger Sponge -iteration 5-
117-27 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
118-27 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
119-27 reference(s)		 Iterations in the complex plane: the computation of the Mandelbrot set
120-27 reference(s)
Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions
121-27 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
122-27 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
123-27 reference(s)		 A Picture in the style of Rembrandt -Courtesy of 'www.bing.com'-
124-26 reference(s)
A Picture in the style of Jerôme Bosch -Courtesy of 'www.bing.com'-
125-26 reference(s)		 The Library of Babel in the style of Isaac Asimov -Courtesy of 'www.bing.com'-
126-26 reference(s)		 The Library of Babel in the style of Giuseppe Arcimboldo -Courtesy of 'www.bing.com'-
127-26 reference(s)		 The first four iterations of the construction of the von Koch snowflake
128-26 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1340 reference(s)		 2-IAGenerativesImages.01.Fra
220 reference(s)
3-Vcatalogue.11
178 reference(s)		 4-copyright.01.
158 reference(s)
5-Web_Mail.01.vv
144 reference(s)		 6-help.
106 reference(s)
7-Galerie_NumberTheory.FV
105 reference(s)		 8-An2000.01.Fra
103 reference(s)
9-mail.01.vv
93 reference(s)		 10-demo_14
91 reference(s)
11-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
79 reference(s)		 12-Galerie_GeneralitiesVisualization.FV
75 reference(s)
13-Informations_AboutPicturesAnimationsAndFiles.01.Ang
74 reference(s)		 14-ChatGPT.01.Fra
73 reference(s)
15-GenieLogiciel_VisualisationScientifique.01.vv
71 reference(s)		 16-Galerie_ParticleSystems.FV
65 reference(s)
17-Galerie_ArtisticCreation.FV
63 reference(s)		 18-Stereogrammes_AutoStereogrammes.01
58 reference(s)
19-Galerie_NewPictures.FV
57 reference(s)		 20-Galerie_DeterministicFractalGeometry.FV
55 reference(s)
21-catalogue.11
53 reference(s)		 22-AProposSite.01.Fra
53 reference(s)
23-EntrelacsIntertwinings.01.Fra
52 reference(s)		 24-LOG_xiMc.11
50 reference(s)
25-UlamSpiral.01.Fra
45 reference(s)		 26-Polynomials_RationalNumbers.01.Fra
45 reference(s)
27-Galerie_QuantumMechanics.FV
42 reference(s)		 28-Galerie_ArtAndScience.FV
42 reference(s)
29-MorePages.
41 reference(s)		 30-FloatingPointNumbers.01.Fra
41 reference(s)
31-UlamSpiral.01.Ang
39 reference(s)		 32-IAGenerativesImages.01.Ang
38 reference(s)
33-Galerie_CelestialMechanics.FV
38 reference(s)		 34-relai_universel.01.vv
37 reference(s)
35-Galerie_SelfPortraits.FV
37 reference(s)		 36-Galerie_BestOf.FV
36 reference(s)
37-ChatGPT.01.Ang
36 reference(s)		 38-AVirtualSpaceTimeTravelMachine.Fra
36 reference(s)
39-RemarquesCerveau.01
35 reference(s)		 40-Galerie_Tributes.FV
35 reference(s)
41-Galerie_ImagesDesMathematiques.FV
35 reference(s)		 42-Galerie_Astrophysics.FV
35 reference(s)
43-FloatingPointNumbers.01.Ang
35 reference(s)		 44-NombresPremiers_10000.vv
34 reference(s)
45-DecimalesPi_100000.vv
34 reference(s)		 46-Informations_GoodNewsAndBadNews.01.Ang
33 reference(s)
47-Galerie_TextureSynthesis.FV
33 reference(s)		 48-Fractal.01
33 reference(s)
49-subject.01.
32 reference(s)		 50-Pcatalogue.11
31 reference(s)
51-Galerie_SensitivityToRoundingOffErrors.FV
31 reference(s)		 52-Fractal.21
31 reference(s)
53-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
31 reference(s)		 54-LeParadoxeDeFermi.01.Fra
30 reference(s)
55-ImagesDuVirtuel.01.Fra.FV
30 reference(s)		 56-GoldenTriangle.01.Fra
30 reference(s)
57-present.01.
29 reference(s)		 58-SurfaceProjector.01.Ang
29 reference(s)
59-Informations_GoodNewsAndBadNews.01.Fra
29 reference(s)		 60-ExpV_VirE.Fra
29 reference(s)
61-Commentaires_HyperSphere.01
29 reference(s)		 62-MonodimensionalCellularAutomata.01.Ang
28 reference(s)
63-DecimalesPi_1_100.vv
28 reference(s)		 64-Kepler.02.
27 reference(s)
65-Galerie_ImagesDidactiques.FV
27 reference(s)		 66-Galerie_GeneralitiesVisualization
27 reference(s)
67-Galerie_DeterministicChaos.FV
27 reference(s)		 68-OrdinateursEtCalculs.01.Fra
26 reference(s)
69-NombresEtLumiere.01.vv.Fra
26 reference(s)		 70-MathematiquesPhysiqueFractales.12
26 reference(s)
71-LesCourbesRemplissantes.02.Fra
26 reference(s)		 72-GenieLogiciel.01.Fra
26 reference(s)
73-AnimFractal.01.
26 reference(s)		 74-ImagesDuVirtuel.01.Fra
25 reference(s)
75-Fractal.03
25 reference(s)		 76-Commentaires_EnsembleMandelbrotComplexe.01
25 reference(s)
77-RasoirDOccamEtMathematiques.01.vv.Ang
24 reference(s)		 78-NDimensionalDeterministicFractalSets.01.Ang
24 reference(s)
79-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
24 reference(s)		 80-LaBeauteDesMathematiques.01.Fra
24 reference(s)
81-Informations_AboutPicturesAnimationsAndFiles.01.Fra
24 reference(s)		 82-DecimalesDePi.01.Fra
24 reference(s)
83-Bard.01.Fra
24 reference(s)		 84-infinity.01.vv
23 reference(s)
85-create.03.
23 reference(s)		 86-SurfaceProjector.01.Fra
23 reference(s)
87-PerteDeLAssociativite.01
23 reference(s)		 88-NatureDesMathematiques.01.vv.Fra
23 reference(s)
89-Multivers.01.Fra
23 reference(s)		 90-LeNoeudInfini.01.Fra
23 reference(s)
91-GoldenTriangle.01.Ang
23 reference(s)		 92-xDarchivesG__SMC__sources__procedures_____DEF_ITEM
22 reference(s)
93-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_2
22 reference(s)		 94-VirtualChaos.01.Fra
22 reference(s)
95-RealNumbers.01.Fra
22 reference(s)		 96-NDimensionalDeterministicFractalSets.01.Fra
22 reference(s)
97-MathematiquesPhysiqueFractales.02
22 reference(s)		 98-Galerie_SignalProcessing.FV
22 reference(s)
99-Exposition_EcolePolytechnique_FeteDeLaScience_201810
22 reference(s)		 100-Commentaires_SpiraleJeenerBottle.01
22 reference(s)
101-AQuoiServentLesMathematiques.01
22 reference(s)		 102-xtf_____flottant.42.f.
21 reference(s)
103-LeNoeudInfini.01.Ang
21 reference(s)		 104-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
21 reference(s)
105-BEST.20030604
21 reference(s)		 106-An2000.05.Fra
21 reference(s)
107-An2000.02.Fra
21 reference(s)		 108-xtc_____HexagonesPremiers.01.vv.c.
20 reference(s)
109-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_13
20 reference(s)		 110-ManyChaos.01.Ang
20 reference(s)
111-LaBeauteDesMathematiques.01.Ang
20 reference(s)		 112-ImagesEncadreesDisponibles.01
20 reference(s)
113-Galerie_FluidMechanics.FV
20 reference(s)		 114-Galerie_AnthropomorphicPatterns.DIAPO.0001
20 reference(s)
115-Fractal.11
20 reference(s)		 116-DieuScience.01.Fra
20 reference(s)
117-ConjectureDeSyracuse_0256.vv
20 reference(s)		 118-ConjectureDeSyracuse_0128.Parity.vv
20 reference(s)
119-Commentaires_EnsembleJuliaQuaternion.01
20 reference(s)		 120-Commentaires_EnsembleJuliaComplexe.01
20 reference(s)
121-Commentaires_DefinitionPseudoQuaternions.01
20 reference(s)		 122-Commentaires_DefinitionComplexes.01
20 reference(s)
123-ArtEtMathematiques.01
20 reference(s)		 124-xiirv_____.nota.t.
19 reference(s)
125-VirtualChaos.01.Ang
19 reference(s)		 126-RasoirDOccamEtMathematiques.01.vv.Fra
19 reference(s)
127-MonodimensionalCellularAutomata.01.Fra
19 reference(s)		 128-MathematiquesModeleOutilArtiste.02.Ang
19 reference(s)

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