Monthly Best Of on 12/28/2020




A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-

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 12/28/2020 and last updated on 10/03/2024 17:04:14 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
1-58 reference(s)		The random walk of photons escaping the Sun
2-55 reference(s)		The Ulam spiral
3-51 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
4-51 reference(s)
The bidimensional John Conway's life game
5-49 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
6-47 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-47 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
8-47 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
9-46 reference(s)		The first four iterations of the construction of the von Koch snowflake
10-45 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
11-44 reference(s)		Autostereogram with an hidden volcano
12-43 reference(s)
A 4-cube -an hypercube-
13-43 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
14-43 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
15-42 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
16-41 reference(s)
The Möbius strip
17-41 reference(s)		Tridimensional zoom in on the Mandelbrot set
18-41 reference(s)		Happy new year 2000
19-41 reference(s)		The random walk of photons escaping the Sun
20-40 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-
21-40 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
22-40 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-
23-40 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
24-40 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)
25-40 reference(s)		The Bonan-Jeener-Klein triple bottle
26-40 reference(s)		Bidimensional geometrical texture animation
27-39 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-
28-39 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
29-39 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
30-39 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
31-39 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
32-39 reference(s)
Tridimensional texture animation by means of the Generalized Product
33-39 reference(s)		Bidimensional texture animation by means of the Generalized Product
34-39 reference(s)		From Mars to the Sun
35-39 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
36-39 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-
37-38 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-
38-38 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-
39-38 reference(s)		The Universe at the heart of a Calabi-Yau manifold
40-34 reference(s)
Autostereogram with an hidden volcano
41-32 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
42-31 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
43-30 reference(s)		From 'geocentrism' to 'heliocentrism'
44-29 reference(s)
Quantum vacuum fluctuations
45-28 reference(s)		Artistic view of the prime numbers
46-28 reference(s)		The Lorenz attractor
47-26 reference(s)		The Jeener-Klein triple bottle
48-26 reference(s)
The random walk of photons escaping the Sun
49-25 reference(s)		The Goldbach conjecture
50-25 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
51-24 reference(s)		Autostereogram of the CMAP
52-23 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
53-23 reference(s)		Along the border of the Mandelbrot set
54-22 reference(s)		The Klein bottle defined by means of three bidimensional fields
55-21 reference(s)		An aperiodic Penrose tiling of the plane
56-20 reference(s)
Autostereogram with an hidden volcano
57-20 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
58-20 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
59-20 reference(s)		An aperiodic Penrose tiling of the plane
60-19 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
61-19 reference(s)		The generalized Ulam spiral
62-19 reference(s)		Bidimensional zoom in on the Mandelbrot set
63-18 reference(s)		Pegasus
64-18 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
65-18 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
66-18 reference(s)		Rotation about X and Y axes of the Jeener-Klein triple bottle
67-18 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
68-17 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
69-17 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
70-17 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
71-17 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
72-17 reference(s)
A 'hyperbolic' Horner manifold 2 of the first degree
73-17 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 411678
74-17 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
75-17 reference(s)		Untitled 0347
76-17 reference(s)
An aperiodic Penrose tiling of the plane
77-16 reference(s)		Untitled 0348
78-16 reference(s)		The Klein bottle
79-16 reference(s)		The Jeener-Klein triple bottle
80-16 reference(s)
Quantum vacuum fluctuation dynamics
81-15 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
82-15 reference(s)		Pseudo Olympic Rings
83-15 reference(s)		A 'linear' Horner manifold of the third degree
84-15 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
85-15 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
86-15 reference(s)		From the infinitely small to the infinitely big
87-15 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
88-15 reference(s)
Quantum vacuum fluctuations
89-14 reference(s)		The 64 first lines of the Pascal's Triangle
90-14 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
91-14 reference(s)		An aperiodic Penrose tiling of the plane
92-14 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
93-14 reference(s)		Autostereogram with an hidden volcano
94-14 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
95-14 reference(s)		The generalized Ulam spiral displaying 1024 numbers
96-14 reference(s)
The generalized Ulam spiral displaying 100 numbers
97-14 reference(s)		Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
98-14 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
99-14 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
100-14 reference(s)
Pterodactyl
101-14 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
102-14 reference(s)		Untitled 0358
103-14 reference(s)		Untitled 0351
104-14 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
105-14 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
106-14 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
107-14 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
108-14 reference(s)
An aperiodic Penrose tiling of the plane
109-13 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
110-13 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
111-13 reference(s)		The Sierpinski Carpet -iteration 3-
112-13 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
113-13 reference(s)		The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
114-13 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
115-13 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
116-13 reference(s)
From Pluto to the Sun (non linear scales)
117-13 reference(s)		Untitled 0004
118-13 reference(s)		Tridimensional representation of our familiar tridimensional space
119-13 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
120-13 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
121-13 reference(s)		Homogeneous meshing of a cube
122-13 reference(s)		The first four iterations of the construction of the von Koch snowflake
123-12 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the plane
124-12 reference(s)
Autostereogram with an hidden ring and ghost bows
125-12 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
126-12 reference(s)		A computer room in the eighties -Courtesy of Philippe Lavialle-
127-12 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
474 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
391 reference(s)
3-An2000.01.Fra
294 reference(s)		4-Galerie_NumberTheory.FV
240 reference(s)
5-help.
212 reference(s)		6-FloatingPointNumbers.01.Fra
202 reference(s)
7-Vcatalogue.11
198 reference(s)		8-RealNumbers.01.Fra
195 reference(s)
9-Fractal.01
195 reference(s)		10-GoldenTriangle.01.Fra
188 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
171 reference(s)		12-Galerie_GeneralitiesVisualization.FV
169 reference(s)
13-mail.01.vv
167 reference(s)		14-demo14
161 reference(s)
15-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
161 reference(s)		16-demo.14
159 reference(s)
17-an2000
159 reference(s)		18-Stereogrammes_AutoStereogrammes.01
158 reference(s)
19-nombresreels
157 reference(s)		20-demo
157 reference(s)
21-realnumbers
156 reference(s)		22-logiciel
156 reference(s)
23-genielogiciel
156 reference(s)		24-AProposSite.01.Fra
154 reference(s)
25-LOG_xiMc.11
149 reference(s)		26-copyright.01.
148 reference(s)
27-Galerie_ArtisticCreation.FV
148 reference(s)		28-Galerie_ArtAndScience.FV
148 reference(s)
29-ExpV_VirE.11
143 reference(s)		30-Galerie_NewPictures.FV
138 reference(s)
31-SurfaceProjector.01.Ang
137 reference(s)		32-Fractal.21
137 reference(s)
33-Galerie_ParticleSystems.FV
136 reference(s)		34-Fractal.11
136 reference(s)
35-AVirtualSpaceTimeTravelMachine.Fra
136 reference(s)		36-UlamSpiral.01.Fra
134 reference(s)
37-GenieLogiciel.01.Fra
132 reference(s)		38-EntrelacsIntertwinings.01.Fra
132 reference(s)
39-MathematiquesPhysiqueFractales.02
131 reference(s)		40-Galerie_DeterministicFractalGeometry.FV
131 reference(s)
41-MonodimensionalCellularAutomata.01.Fra
130 reference(s)		42-FloatingPointNumbers.01.Ang
130 reference(s)
43-SurfaceProjector.01.Fra
129 reference(s)		44-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
129 reference(s)
45-Galerie_ImagesDesMathematiques.FV
127 reference(s)		46-AnimFractal.01.
127 reference(s)
47-Commentaires_NKleinBottle.01
126 reference(s)		48-Galerie_CelestialMechanics.FV
125 reference(s)
49-DieuScience.01.Fra
125 reference(s)		50-Informations_AboutPicturesAnimationsAndFiles.01.Ang
124 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
124 reference(s)		52-Galerie_Astrophysics.FV
123 reference(s)
53-present.01.
122 reference(s)		54-OrdinateursEtCalculs.01.Ang
122 reference(s)
55-EntrelacsIntertwinings.01.Ang
122 reference(s)		56-catalogue.11
121 reference(s)
57-MathematiquesPhysiqueFractales.12
121 reference(s)		58-Kepler.02.
120 reference(s)
59-Galerie_QuantumMechanics.FV
120 reference(s)		60-Galerie_DeterministicChaos.FV
120 reference(s)
61-Galerie_BestOf.FV
120 reference(s)		62-ExpV_VirE.21
120 reference(s)
63-MorePages.
119 reference(s)		64-Galerie_Tributes.FV
119 reference(s)
65-Galerie_SensitivityToRoundingOffErrors.FV
119 reference(s)		66-Pcatalogue.11
118 reference(s)
67-ImagesDuVirtuel.01.Fra
118 reference(s)		68-DecimalesPi_1_100.vv
118 reference(s)
69-GoldenTriangle.01.Ang
117 reference(s)		70-Exposition_EcolePolytechnique_FeteDeLaScience_201910
117 reference(s)
71-infinity.01.vv
116 reference(s)		72-NatureDesMathematiques.01.vv.Fra
116 reference(s)
73-MathematiquesPhysiqueFractales.22
116 reference(s)		74-LesApprentisDieux.01
116 reference(s)
75-PerteDeLAssociativite.01
115 reference(s)		76-NombresEtLumiere.01.vv.Fra
115 reference(s)
77-ImagesDuVirtuel.01.Fra.FV
115 reference(s)		78-Galerie_TextureSynthesis.FV
115 reference(s)
79-IllusionConnaissance.02
114 reference(s)		80-Galerie_SignalProcessing.FV
114 reference(s)
81-Galerie_ImagesDidactiques.FV
114 reference(s)		82-FaireDeLaRecherche.01.vv
114 reference(s)
83-NDimensionalDeterministicFractalSets.01.Ang
113 reference(s)		84-Galerie_FluidMechanics.FV
113 reference(s)
85-ImpossibleStructures.01.Ang
112 reference(s)		86-MonodimensionalCellularAutomata.01.Ang
111 reference(s)
87-RasoirDOccamEtMathematiques.01.vv.Fra
110 reference(s)		88-OrdinateursEtCalculs.01.Fra
110 reference(s)
89-OrdinateurMathematiquesArt.01.Fra
110 reference(s)		90-Commentaires_VarieteHornerLineaire.01
110 reference(s)
91-BEST.20170228
110 reference(s)		92-Autostereograms.01.
110 reference(s)
93-Multivers.01.Fra
109 reference(s)		94-Fractal.03
109 reference(s)
95-ConjectureDeSyracuse_0256.vv
109 reference(s)		96-Commentaires_DefinitionPseudoQuaternions.01
109 reference(s)
97-UlamSpiral.01.Ang
108 reference(s)		98-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
108 reference(s)
99-ExpV_VirE.Ang
108 reference(s)		100-DuModeleALImage.02.Fra
108 reference(s)
101-DecimalesDePi.01.Fra
108 reference(s)		102-Commentaires_VarieteHornerCirculaire.01
108 reference(s)
103-ArtScience.01
108 reference(s)		104-subject.01.
107 reference(s)
105-PatrimoineHumanite.02.Fra
107 reference(s)		106-ManyChaos.01.Fra
107 reference(s)
107-ImpossibleStructures.01.Fra
107 reference(s)		108-Commentaires_VarieteHornerHyperbolique.02
107 reference(s)
109-VisualisationRelief.01.vv.Fra
106 reference(s)		110-VisitesGaleriesEnfouies.01.Fra
106 reference(s)
111-VirtualChaos.01.Ang
106 reference(s)		112-NDimensionalDeterministicFractalSets.01.Fra
106 reference(s)
113-MathematiquesPhysiqueFractales.32
106 reference(s)		114-ManyChaos.01.Ang
106 reference(s)
115-DecimalesPi_100000.vv
106 reference(s)		116-ArtEtMathematiques.01
106 reference(s)
117-create.03.
105 reference(s)		118-VirtualChaos.01.Fra
105 reference(s)
119-NombresPremiers_10000.vv
105 reference(s)		120-Exposition_MairieCinquiemeArrondissementParis_202001_202002
105 reference(s)
121-Commentaires_NKleinBottle.02
105 reference(s)		122-BEST.20141028
105 reference(s)
123-AvantPropos.01.Ang
105 reference(s)		124-infinity.02.vv
104 reference(s)
125-RemarquesCerveau.01
104 reference(s)		126-PerteDeLaDistributivite.01.DIS2
104 reference(s)
127-PerteDeLAssociativite.01.ADD3
104 reference(s)		128-Informations_GoodNewsAndBadNews.01.Fra
104 reference(s)

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




Copyright © Jean-François COLONNA, 2020-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2020-2024.