Monthly Best Of on 06/28/2020




A tridimensional interpolation between a fractal structure and a cubic mesh

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 06/28/2020 and last updated on 10/03/2024 17:04:04 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
1-370 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
2-73 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
3-64 reference(s)		Happy new year 2000
4-63 reference(s)
The random walk of photons escaping the Sun
5-57 reference(s)		The bidimensional John Conway's life game
6-46 reference(s)		The Bonan-Jeener-Klein triple bottle
7-46 reference(s)		The random walk of photons escaping the Sun
8-45 reference(s)
Artistic view of the prime numbers
9-44 reference(s)		Tridimensional zoom in on the Mandelbrot set
10-43 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-
11-42 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
12-42 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-
13-41 reference(s)		The random walk of photons escaping the Sun
14-40 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
15-40 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-40 reference(s)
A blue Sponge-tree -a Tribute to Yves Klein-
17-39 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-39 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
19-38 reference(s)		From Mars to the Sun
20-38 reference(s)
The Möbius strip
21-38 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
22-37 reference(s)		Autostereogram of the CMAP
23-37 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
24-37 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
25-37 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
26-37 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-
27-37 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
28-37 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-
29-36 reference(s)		Bidimensional geometrical texture animation
30-35 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-
31-35 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-
32-35 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
33-35 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
34-35 reference(s)		Tridimensional texture animation by means of the Generalized Product
35-35 reference(s)		Bidimensional texture animation by means of the Generalized Product
36-35 reference(s)
Autostereogram with an hidden volcano
37-34 reference(s)		Autostereogram with an hidden volcano
38-34 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-33 reference(s)		Color palette 'orange'
40-31 reference(s)
The generalized Ulam spiral
41-30 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
42-30 reference(s)		Rotation about the Y (vertical)axis of the 3-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
43-29 reference(s)		Untitled 0265 -a Tribute to Vassily Kandinsky-
44-29 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
45-27 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
46-26 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
47-25 reference(s)		The 64 first lines of the Pascal's Triangle
48-24 reference(s)
Autostereogram with an hidden volcano
49-24 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
50-23 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
51-23 reference(s)		The Jeener-Klein triple bottle
52-23 reference(s)
Quantum vacuum fluctuations
53-22 reference(s)		Untitled 0294 -a Tribute to Victor Vasarely
54-22 reference(s)		The Universe at the heart of a Calabi-Yau manifold
55-22 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,...)obtained by means of a non deterministic fractal process
56-22 reference(s)
A bidimensional field
57-20 reference(s)		The generalized Ulam spiral displaying 100 numbers
58-20 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
59-20 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
60-20 reference(s)
Four overlaped torus
61-19 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
62-19 reference(s)		A shell (Jeener surface 1)
63-19 reference(s)		A 4-cube -an hypercube-
64-19 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
65-19 reference(s)		Autostereogram with an hidden volcano
66-18 reference(s)		Autostereogram of Monument Valley
67-18 reference(s)		K/LD Matrix -'CDCM4_CDC_A.01' measures-
68-18 reference(s)
Hypercube
69-18 reference(s)		An aperiodic Penrose tiling of the plane
70-17 reference(s)		A tridimensional field
71-17 reference(s)		Victor Vasarely meets Piet Mondrian
72-17 reference(s)
Artistic view of gravitational waves
73-17 reference(s)		Fractal landscape
74-17 reference(s)		Quark and gluon structure of a nucleon
75-17 reference(s)		K/LD Matrix -'Optimal_A1.03' measures-
76-17 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
77-17 reference(s)		Tridimensional visualization of the Verhulst dynamics
78-17 reference(s)		Rotation about the Y (vertical)axis of the 5-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
79-17 reference(s)		A fractal-fractal tree
80-17 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
81-17 reference(s)		An aperiodic Penrose tiling of the plane
82-16 reference(s)		Autostereogram with an hidden volcano
83-16 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
84-16 reference(s)
Sixty-four overlaped torus
85-16 reference(s)		The Menger Sponge -iteration 5-
86-16 reference(s)		The Menger Sponge -iteration 0-
87-16 reference(s)		K/LD Matrix -'CDCM3_B4.01' measures-
88-16 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
89-16 reference(s)		The Lorenz attractor
90-16 reference(s)		A fractal Möbius strip
91-16 reference(s)		Tridimensional fractal structure -the space-time foam?-
92-16 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
93-16 reference(s)		The Jeener-Klein triple bottle
94-16 reference(s)		The first four iterations of the construction of the von Koch snowflake
95-15 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
96-15 reference(s)
Along the border of the Mandelbrot set
97-15 reference(s)		Autostereogram with an hidden ring and ghost bows
98-15 reference(s)		K/LD Matrix -'CDCM4_CDC_1.01' measures-
99-15 reference(s)		K/LD Matrix -'CDCM3_CDC_4.01' measures-
100-15 reference(s)
A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
101-15 reference(s)		The Jeener twin bottles
102-15 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
103-14 reference(s)		The Sierpinski Carpet -iteration 3-
104-14 reference(s)
A pay slip
105-14 reference(s)		Structures with a random central square -19%-
106-14 reference(s)		From Pluto to the Sun (non linear scales)
107-14 reference(s)		K/LD Matrix -'bzip2_CDC_2.01' measures-
108-14 reference(s)
Tridimensional fractal structure
109-14 reference(s)		The Klein bottle
110-14 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
111-13 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 2-
112-13 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
113-13 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
114-13 reference(s)		Pseudo Olympic Rings
115-13 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
116-13 reference(s)
Tridimensional Hilbert Curve -iteration 3-
117-13 reference(s)		Sixteen interlaced fractal torus
118-13 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
119-13 reference(s)		An elementary monodimensional binary cellular automaton -90- with 1 white starting point -bottom middle-
120-13 reference(s)
A bidimensional field
121-12 reference(s)		The Sierpinski Carpet -iteration 5-
122-12 reference(s)		Rotation about X and Y axes of the Boy surface
123-12 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
124-12 reference(s)
Animation of a sunrise on mountains
125-12 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
126-12 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
127-12 reference(s)		Bidimensional zoom in on the Mandelbrot set
128-12 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
620 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
514 reference(s)
3-An2000.01.Fra
287 reference(s)		4-help.
249 reference(s)
5-Vcatalogue.11
223 reference(s)		6-Galerie_NumberTheory.FV
201 reference(s)
7-RealNumbers.01.Fra
186 reference(s)		8-Commentaires_NKleinBottle.01
173 reference(s)
9-mail.01.vv
168 reference(s)		10-FloatingPointNumbers.01.Fra
166 reference(s)
11-Fractal.01
165 reference(s)		12-GoldenTriangle.01.Fra
164 reference(s)
13-Galerie_GeneralitiesVisualization.FV
159 reference(s)		14-SurfaceProjector.01.Ang
158 reference(s)
15-LOG_xiMc.11
157 reference(s)		16-AVirtualSpaceTimeTravelMachine.Fra
157 reference(s)
17-demo14
154 reference(s)		18-GenieLogiciel_VisualisationScientifique.01.vv
154 reference(s)
19-nombresreels
153 reference(s)		20-demo
153 reference(s)
21-UlamSpiral.01.Fra
153 reference(s)		22-an2000
152 reference(s)
23-logiciel
151 reference(s)		24-demo.14
151 reference(s)
25-copyright.01.
151 reference(s)		26-Galerie_DeterministicFractalGeometry.FV
151 reference(s)
27-realnumbers
150 reference(s)		28-genielogiciel
150 reference(s)
29-AProposSite.01.Fra
150 reference(s)		30-Stereogrammes_AutoStereogrammes.01
149 reference(s)
31-Galerie_ArtAndScience.FV
147 reference(s)		32-NDimensionalDeterministicFractalSets.01.Ang
146 reference(s)
33-SurfaceProjector.01.Fra
145 reference(s)		34-MathematiquesPhysiqueFractales.02
140 reference(s)
35-Fractal.11
140 reference(s)		36-Galerie_NewPictures.FV
138 reference(s)
37-Galerie_ArtisticCreation.FV
138 reference(s)		38-Autostereograms.01.
138 reference(s)
39-Fractal.21
137 reference(s)		40-MathematiquesPhysiqueFractales.12
136 reference(s)
41-Galerie_ImagesDesMathematiques.FV
134 reference(s)		42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
133 reference(s)
43-FloatingPointNumbers.01.Ang
132 reference(s)		44-Polynomials_RationalNumbers.01.Fra
131 reference(s)
45-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
131 reference(s)		46-NDimensionalDeterministicFractalSets.01.Fra
130 reference(s)
47-ExpV_VirE.11
130 reference(s)		48-DieuScience.01.Fra
130 reference(s)
49-Exposition_EcolePolytechnique_FeteDeLaScience_201910
129 reference(s)		50-present.01.
128 reference(s)
51-Galerie_QuantumMechanics.FV
127 reference(s)		52-Informations_GoodNewsAndBadNews.01.Fra
125 reference(s)
53-Informations_AboutPicturesAnimationsAndFiles.01.Ang
125 reference(s)		54-EntrelacsIntertwinings.01.Fra
125 reference(s)
55-AnimFractal.01.
125 reference(s)		56-AQuoiServentLesMathematiques.01
124 reference(s)
57-FaireDeLaRecherche.01.vv
123 reference(s)		58-MonodimensionalCellularAutomata.01.Fra
122 reference(s)
59-MathematiquesPhysiqueFractales.02.1
122 reference(s)		60-Galerie_BestOf.FV
122 reference(s)
61-Galerie_CelestialMechanics.FV
121 reference(s)		62-Galerie_Astrophysics.FV
121 reference(s)
63-Polynomials_RationalNumbers.01.Ang
120 reference(s)		64-GoldenTriangle.01.Ang
120 reference(s)
65-Galerie_ParticleSystems.FV
120 reference(s)		66-EntrelacsIntertwinings.01.Ang
120 reference(s)
67-DuModeleALImage.02.Fra
120 reference(s)		68-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
120 reference(s)
69-MorePages.
118 reference(s)		70-MonodimensionalCellularAutomata.01.Ang
118 reference(s)
71-ExpV_VirE.21
118 reference(s)		72-BEST.20171028
118 reference(s)
73-subject.01.
117 reference(s)		74-Kepler.02.
117 reference(s)
75-Galerie_SensitivityToRoundingOffErrors.FV
117 reference(s)		76-NatureDesMathematiques.01.vv.Fra
116 reference(s)
77-IllusionConnaissance.02
116 reference(s)		78-Galerie_Tributes.FV
116 reference(s)
79-UlamSpiral.01.Ang
115 reference(s)		80-GenieLogiciel.01.Fra
115 reference(s)
81-Galerie_DeterministicChaos.FV
115 reference(s)		82-OrdinateursEtCalculs.01.Ang
114 reference(s)
83-MathematiquesPhysiqueFractales.22
114 reference(s)		84-Galerie_SignalProcessing.FV
114 reference(s)
85-Commentaires_DefinitionPseudoQuaternions.01
114 reference(s)		86-infinity.02.vv
112 reference(s)
87-infinity.01.vv
112 reference(s)		88-Galerie_TextureSynthesis.FV
112 reference(s)
89-Galerie_ImagesDidactiques.FV
112 reference(s)		90-catalogue.11
111 reference(s)
91-ImpossibleStructures.01.Ang
111 reference(s)		92-ConjectureDeSyracuse_0256.vv
111 reference(s)
93-PerteDeLAssociativite.01
110 reference(s)		94-Pcatalogue.11
110 reference(s)
95-BEST.20170528
110 reference(s)		96-Informations_AboutPicturesAnimationsAndFiles.01.Fra
109 reference(s)
97-ExpV_VirE.Fra
109 reference(s)		98-ArtScience.01
109 reference(s)
99-OrdinateurMathematiquesArt.01.Fra
108 reference(s)		100-Notations_AppartientA.01
108 reference(s)
101-NombresEtLumiere.01.vv.Fra
108 reference(s)		102-ImagesDuVirtuel.01.Fra.FV
108 reference(s)
103-Commentaires_NKleinBottle.02
108 reference(s)		104-OrdinateursEtCalculs.01.Fra
107 reference(s)
105-MathematiquesPhysiqueFractales.02.27
107 reference(s)		106-Fractal.03
107 reference(s)
107-create.03.
106 reference(s)		108-VirtualChaos.01.Ang
106 reference(s)
109-RasoirDOccamEtMathematiques.01.vv.Fra
106 reference(s)		110-HommageBenoitMandelbrot.21
106 reference(s)
111-Galerie_FluidMechanics.FV
106 reference(s)		112-Commentaires_DefinitionPseudoOctonions.01
106 reference(s)
113-An2000.04.Fra
106 reference(s)		114-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
105 reference(s)
115-FaireDesMathematiques.01.Fra
105 reference(s)		116-Exposition_EcolePolytechnique_FeteDeLaScience_201810
105 reference(s)
117-ExpV_VirE.Ang
105 reference(s)		118-ArtEtMathematiques.01
105 reference(s)
119-DecimalesPi_1_100.vv
104 reference(s)		120-Commentaires_Epicycloide.03
104 reference(s)
121-BEST.20141228
104 reference(s)		122-PerteDeLAssociativite.01.ADD3
103 reference(s)
123-Informations_GoodNewsAndBadNews.01.Ang
103 reference(s)		124-ImpossibleStructures.01.Fra
103 reference(s)
125-Fractal.02
103 reference(s)		126-ArithmetiqueEtOrdinateur.01.vv.Fra
103 reference(s)
127-An2000.02.Fra
103 reference(s)		128-An2000.01.Ang
103 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.