Monthly Best Of on 01/28/2021




A Bidimensional non continous Hilbert-like Curve defined with {X1(...),Y1(...)} related to a periodical 'labyrinthic' structure -iteration 1-

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 01/28/2021 and last updated on 11/14/2023 17:50:04 -CET-)




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)
1-70 reference(s)		 Cauliflowers, seaweeds, shells,...
2-68 reference(s)		 Happy new year 2000
3-67 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
4-61 reference(s)
Autostereogram with an hidden volcano
5-60 reference(s)		 The random walk of photons escaping the Sun
6-58 reference(s)		 Autostereogram with an hidden volcano
7-57 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
8-54 reference(s)
The random walk of photons escaping the Sun
9-54 reference(s)		 The random walk of photons escaping the Sun
10-49 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)
11-49 reference(s)		 The bidimensional John Conway's life game
12-48 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
13-47 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-45 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
15-43 reference(s)		 Autostereogram of the CMAP
16-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
17-43 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-
18-42 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-42 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
20-42 reference(s)
Tridimensional texture animation by means of the Generalized Product
21-41 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-
22-40 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
23-40 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
24-40 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
25-40 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
26-40 reference(s)		 The Möbius strip
27-40 reference(s)		 Tridimensional zoom in on the Mandelbrot set
28-40 reference(s)
Artistic view of the prime numbers
29-40 reference(s)		 Bidimensional geometrical texture animation
30-39 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-
31-39 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-
32-39 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-
33-39 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
34-39 reference(s)		 Bidimensional texture animation by means of the Generalized Product
35-39 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-
36-39 reference(s)
From Mars to the Sun
37-39 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
38-39 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
39-39 reference(s)		 Quantum vacuum fluctuations
40-38 reference(s)
The Goldbach conjecture
41-38 reference(s)		 The first four iterations of the construction of the von Koch snowflake
42-37 reference(s)		 The Ulam spiral
43-35 reference(s)		 The Jeener-Klein triple bottle
44-33 reference(s)
Autostereogram with an hidden volcano
45-31 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
46-31 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
47-30 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
48-30 reference(s)
Autostereogram with an hidden volcano
49-28 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
50-28 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
51-27 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
52-27 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
53-26 reference(s)		 The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year
54-26 reference(s)		 The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year
55-25 reference(s)		 Untitled 0358
56-25 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
57-25 reference(s)		 The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
58-24 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
59-24 reference(s)		 A 4-cube -an hypercube-
60-24 reference(s)
Foggy seaboard
61-24 reference(s)		 Autostereogram with an hidden ring and ghost bows
62-23 reference(s)		 The generalized Ulam spiral
63-23 reference(s)		 True colors autostereogram of a fractal landscape
64-23 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
65-22 reference(s)		 Erosion of a bidimensional random (with large scale correlations)island
66-22 reference(s)		 The Bonan-Jeener-Klein triple bottle
67-22 reference(s)		 An aperiodic Penrose tiling of the plane
68-21 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
69-21 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-21 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
71-21 reference(s)		 The Jeener-Klein triple bottle
72-21 reference(s)
An aperiodic Penrose tiling of the plane
73-20 reference(s)		 Black dots on a square lattice
74-20 reference(s)		 The dynamics of the diffusion process in a bidimensional medium obtained by means of a random walk process
75-20 reference(s)		 Untitled 0359
76-20 reference(s)
The Sierpinski carpet -iteration 5-
77-19 reference(s)		 Happy new year 2000
78-19 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
79-19 reference(s)		 Hypercube
80-19 reference(s)
A fractal aperiodic Penrose tiling
81-19 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
82-19 reference(s)		 Along the border of the Mandelbrot set
83-18 reference(s)		 Bidimensional rectangular billiard
84-18 reference(s)
The Klein bottle defined by means of three bidimensional fields
85-18 reference(s)		 Untitled 0351
86-18 reference(s)		 The evolution of the Klein bottle using the Lorenz attractor
87-18 reference(s)		 Untitled 0361
88-17 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
89-17 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)
90-17 reference(s)		 The Lorenz attractor
91-17 reference(s)		 A shell (Jeener surface 1)in motion
92-17 reference(s)
Untitled 0354
93-17 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on an helix -bad point of view-
94-16 reference(s)		 Autostereogram of Monument Valley
95-16 reference(s)		 The Simpson paradox
96-16 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
97-16 reference(s)		 The Sierpinski carpet -iteration 3-
98-15 reference(s)		 The generalized Ulam spiral displaying 1024 numbers
99-15 reference(s)		 A regular 7-gon -an heptagon-
100-15 reference(s)
An arbitrary surface (Jeener surface 2)in motion
101-15 reference(s)		 The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
102-15 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
103-15 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
104-15 reference(s)
From the infinitely small to the infinitely big
105-15 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
106-15 reference(s)		 The 64 first lines of the Pascal's Triangle
107-14 reference(s)		 An aperiodic Penrose tiling of the plane
108-14 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
109-14 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
110-14 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
111-14 reference(s)		 A pay slip
112-14 reference(s)
A tridimensional distorted cubic mesh defined by means of three tridimensional fields
113-14 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
114-14 reference(s)		 A spherical cross-section inside the Menger sponge -iteration 5-
115-14 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
116-14 reference(s)
A shell (Jeener surface 1)
117-14 reference(s)		 Foggy 'anti-seaboard'
118-14 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
119-14 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
120-14 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the plane
121-13 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
122-13 reference(s)		 The Boy surface
123-13 reference(s)		 A computer room in the eighties -Courtesy of Philippe Lavialle-
124-13 reference(s)
4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
125-13 reference(s)		 The Eratosthene sieve displaying 100x100 numbers
126-13 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
127-13 reference(s)		 The construction process of the Menger sponge
128-13 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
702 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
385 reference(s)
3-Galerie_NumberTheory.FV
336 reference(s)		 4-An2000.01.Fra
327 reference(s)
5-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
276 reference(s)		 6-Galerie_GeneralitiesVisualization.FV
257 reference(s)
7-galerie_numbertheory.fv
233 reference(s)		 8-Vcatalogue.11
228 reference(s)
9-Galerie_ParticleSystems.FV
225 reference(s)		 10-RealNumbers.01.Fra
221 reference(s)
11-Fractal.01
219 reference(s)		 12-Galerie_ArtisticCreation.FV
216 reference(s)
13-Galerie_ArtAndScience.FV
214 reference(s)		 14-help.
206 reference(s)
15-FloatingPointNumbers.01.Fra
203 reference(s)		 16-MorePages.
197 reference(s)
17-Stereogrammes_AutoStereogrammes.01
189 reference(s)		 18-mail.01.vv
186 reference(s)
19-AProposSite.01.Fra
183 reference(s)		 20-Galerie_CelestialMechanics.FV
179 reference(s)
21-an2000
177 reference(s)		 22-demo.14
174 reference(s)
23-demo
174 reference(s)		 24-Galerie_DeterministicFractalGeometry.FV
174 reference(s)
25-logiciel
173 reference(s)		 26-demo14
173 reference(s)
27-realnumbers
172 reference(s)		 28-nombresreels
172 reference(s)
29-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
172 reference(s)		 30-genielogiciel
171 reference(s)
31-GoldenTriangle.01.Fra
169 reference(s)		 32-Galerie_TextureSynthesis.FV
167 reference(s)
33-copyright.01.
164 reference(s)		 34-Galerie_Tributes.FV
163 reference(s)
35-Galerie_NewPictures.FV
163 reference(s)		 36-Galerie_Astrophysics.FV
162 reference(s)
37-Fractal.11
162 reference(s)		 38-Galerie_QuantumMechanics.FV
156 reference(s)
39-ExpV_VirE.11
156 reference(s)		 40-EntrelacsIntertwinings.01.Ang
156 reference(s)
41-SurfaceProjector.01.Ang
155 reference(s)		 42-galerie_artisticcreation.fv
153 reference(s)
43-LOG_xiMc.11
153 reference(s)		 44-AVirtualSpaceTimeTravelMachine.Fra
153 reference(s)
45-galerie_generalitiesvisualization.fv
151 reference(s)		 46-Fractal.21
149 reference(s)
47-MathematiquesPhysiqueFractales.02
148 reference(s)		 48-GenieLogiciel_VisualisationScientifique.01.vv
148 reference(s)
49-morepages.
147 reference(s)		 50-GenieLogiciel.01.Fra
147 reference(s)
51-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
147 reference(s)		 52-MonodimensionalCellularAutomata.01.Fra
146 reference(s)
53-ImpossibleStructures.01.Fra
146 reference(s)		 54-galerie_particlesystems.fv
145 reference(s)
55-Galerie_SignalProcessing.FV
145 reference(s)		 56-OrdinateursEtCalculs.01.Ang
144 reference(s)
57-Galerie_ImagesDesMathematiques.FV
144 reference(s)		 58-EntrelacsIntertwinings.01.Fra
144 reference(s)
59-Kepler.02.
143 reference(s)		 60-Galerie_SensitivityToRoundingOffErrors.FV
143 reference(s)
61-FloatingPointNumbers.01.Ang
143 reference(s)		 62-infinity.01.vv
142 reference(s)
63-Galerie_ImagesDidactiques.FV
142 reference(s)		 64-Fractal.03
142 reference(s)
65-ImagesDuVirtuel.01.Fra
141 reference(s)		 66-FaireDeLaRecherche.01.vv
141 reference(s)
67-Exposition_EcolePolytechnique_FeteDeLaScience_201910
141 reference(s)		 68-Galerie_DeterministicChaos.FV
140 reference(s)
69-create.03.
139 reference(s)		 70-DieuScience.01.Fra
139 reference(s)
71-catalogue.11
138 reference(s)		 72-ImagesDuVirtuel.01.Fra.FV
137 reference(s)
73-AnimFractal.01.
137 reference(s)		 74-UlamSpiral.01.Fra
136 reference(s)
75-Autostereograms.01.
136 reference(s)		 76-infinity.02.vv
134 reference(s)
77-OrdinateurMathematiquesArt.01.Fra
133 reference(s)		 78-MathematiquesPhysiqueFractales.22
133 reference(s)
79-ArtScience.01
133 reference(s)		 80-NatureDesMathematiques.01.vv.Fra
132 reference(s)
81-NDimensionalDeterministicFractalSets.01.Fra
132 reference(s)		 82-Informations_GoodNewsAndBadNews.01.Fra
132 reference(s)
83-ImpossibleStructures.01.Ang
132 reference(s)		 84-Galerie_FluidMechanics.FV
132 reference(s)
85-subject.01.
131 reference(s)		 86-RemarquesCerveau.01
131 reference(s)
87-Pcatalogue.11
131 reference(s)		 88-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
130 reference(s)
89-ExpV_VirE.Ang
130 reference(s)		 90-AvantPropos.01.Fra
130 reference(s)
91-galerie_celestialmechanics.fv
129 reference(s)		 92-SurfaceProjector.01.Fra
129 reference(s)
93-Multivers.01.Fra
129 reference(s)		 94-ManyChaos.01.Ang
129 reference(s)
95-Informations_AboutPicturesAnimationsAndFiles.01.Ang
129 reference(s)		 96-GoldenTriangle.01.Ang
129 reference(s)
97-Commentaires_NKleinBottle.01
129 reference(s)		 98-VirtualChaos.01.Fra
128 reference(s)
99-MonodimensionalCellularAutomata.01.Ang
127 reference(s)		 100-Informations_GoodNewsAndBadNews.01.Ang
127 reference(s)
101-NombresEtLumiere.01.vv.Fra
126 reference(s)		 102-NDimensionalDeterministicFractalSets.01.Ang
126 reference(s)
103-ExpV_VirE.21
126 reference(s)		 104-DuModeleALImage.02.Fra
126 reference(s)
105-Spheres.01
125 reference(s)		 106-PerteDeLAssociativite.01
125 reference(s)
107-Galerie_NumbersAndLight.FV
125 reference(s)		 108-Commentaires_VarieteHornerLineaire.01
125 reference(s)
109-Commentaires_VarieteHornerHyperbolique.01
125 reference(s)		 110-MathematiquesPhysiqueFractales.12
124 reference(s)
111-Fractal.02
124 reference(s)		 112-DecimalesDePi.01.Fra
124 reference(s)
113-Commentaires_VarieteHornerHyperbolique.02
124 reference(s)		 114-VisitesGaleriesEnfouies.01.Fra
123 reference(s)
115-Galerie_BestOf.FV
123 reference(s)		 116-EnsembleDesGaleriesFractales.DIAPO.0001
123 reference(s)
117-galerie_artandscience.fv
122 reference(s)		 118-LesApprentisDieux.01
122 reference(s)
119-IllusionConnaissance.02
122 reference(s)		 120-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
122 reference(s)
121-ConjectureDeSyracuse_0256.vv
122 reference(s)		 122-ArtEtMathematiques.01
122 reference(s)
123-xrC_____OBJC.R5___1_______.11.Ondelettes.t.
121 reference(s)		 124-present.01.
121 reference(s)
125-galerie_deterministicfractalgeometry.fv
121 reference(s)		 126-Exposition_EcolePolytechnique_FeteDeLaScience_201810
121 reference(s)
127-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
121 reference(s)		 128-BEST.20160928
121 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.