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 10/03/2024 17:04:50 -CEST-)




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)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
42-35 reference(s)		Happy new year 2000
43-35 reference(s)		Happy new year 2000
44-35 reference(s)
The Goldbach conjecture
45-35 reference(s)		Cantor's diagonal argument
46-35 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
47-34 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
48-34 reference(s)
The Bonan-Jeener-Klein triple bottle
49-34 reference(s)		Quantum vacuum fluctuation dynamics
50-33 reference(s)		Along the border of the Mandelbrot set
51-33 reference(s)		Merry Christmas 2023: A Fractal Cube -iteration 2-
52-33 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
53-33 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
54-32 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)
55-32 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
56-32 reference(s)
Botticelli anomaly on the Moon
57-32 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
58-32 reference(s)		From the infinitely small to the infinitely big
59-32 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
60-32 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
61-31 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
62-31 reference(s)		An Impossible Peace
63-31 reference(s)		Close-up on a foggy 'MandelBox' -tridimensional cross-section-
64-31 reference(s)
Texture animation by means of Fourier interpolation
65-31 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
66-31 reference(s)		A punched paper tape
67-30 reference(s)		An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
68-30 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
69-30 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
70-30 reference(s)		The 64 first lines of the Pascal's Triangle
71-29 reference(s)		The construction process of the Sierpinski Carpet
72-29 reference(s)
The generalized Ulam spiral
73-29 reference(s)		Quantum vacuum fluctuations
74-28 reference(s)		An aperiodic Penrose tiling of the plane
75-28 reference(s)		An aperiodic Penrose tiling of the plane
76-28 reference(s)
A tridimensional field
77-28 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
78-28 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
79-28 reference(s)		A pay slip
80-28 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
81-28 reference(s)		A variable Archimedes spiral displaying 1000 numbers
82-28 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-
83-28 reference(s)		Quark and gluon structure of a nucleon
84-28 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-
85-28 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
86-28 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
87-28 reference(s)		A fractal sphere
88-28 reference(s)
The Jeener-Klein triple bottle
89-28 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
90-27 reference(s)		The random walk of photons escaping the Sun
91-27 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)
92-27 reference(s)
A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling
93-27 reference(s)		Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
94-27 reference(s)		The Sierpinski Carpet -iteration 3-
95-27 reference(s)		Bidimensional billiard with 54 still -initially- particles submitted to an repulsive central field of gravity
96-27 reference(s)
A regular 8-gon -an octogon-
97-27 reference(s)		Mountains and fog
98-27 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
99-27 reference(s)		Mountains and light clouds
100-27 reference(s)
The Menger Sponge -iteration 5-
101-27 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
102-27 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
103-27 reference(s)		Iterations in the complex plane: the computation of the Mandelbrot set
104-27 reference(s)
Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions
105-27 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
106-27 reference(s)		Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
107-27 reference(s)		The first four iterations of the construction of the von Koch snowflake
108-26 reference(s)
Universe or Multiverse -The fractal Universe-?
109-26 reference(s)		Artistic view of the Big Bang
110-26 reference(s)		A tridimensional field made of a tridimensional cubic mesh
111-26 reference(s)		The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles
112-26 reference(s)
The generalized Ulam spiral displaying 100 numbers
113-26 reference(s)		From Pluto to the Sun -extrapolation 2-
114-26 reference(s)		Rotation about the Y (vertical)axis of a Jeener-Möbius tridimensional manifold that can also be viewed as a set of 4x3 stereograms
115-26 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
116-26 reference(s)
My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
117-26 reference(s)		The 64 first lines of the Pascal's Triangle
118-25 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
119-25 reference(s)		An Archimedes spiral displaying 1000 numbers
120-25 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
121-25 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
122-25 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
123-25 reference(s)		Bidimensional zoom in on the Mandelbrot set
124-25 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
125-25 reference(s)		A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
126-25 reference(s)		Tridimensional display of the inflationary Universe
127-25 reference(s)		Ile de Science -a Tribute to Pierre Vasseur-
128-25 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)

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




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