Monthly Best Of on 02/28/2019




Fractal 5-foil torus knot

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 02/28/2019 and last updated on 11/14/2023 17:49:36 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-287 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
2-281 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
3-204 reference(s)		 Happy new year 2000
4-198 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-185 reference(s)		 The random walk of photons escaping the Sun
6-182 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-153 reference(s)		 Gravitation and space-time curvature
8-146 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
9-130 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
10-124 reference(s)		 Autostereogram with an hidden ring and ghost bows
11-118 reference(s)		 Hypercube
12-118 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-102 reference(s)		 The Bonan-Jeener-Klein triple bottle
14-98 reference(s)		 Pseudo Olympic Rings
15-96 reference(s)		 The bidimensional John Conway's life game
16-85 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
17-83 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-82 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
19-78 reference(s)		 Artistic view of the prime numbers
20-77 reference(s)
The random walk of photons escaping the Sun
21-73 reference(s)		 My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
22-65 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-63 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
24-61 reference(s)
The Universe at the heart of a Calabi-Yau manifold
25-60 reference(s)		 From 'geocentrism' to 'heliocentrism'
26-59 reference(s)		 The Jeener-Klein triple bottle
27-59 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
28-58 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
29-57 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-
30-57 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
31-57 reference(s)		 Autostereogram with an hidden volcano
32-56 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
33-56 reference(s)		 Bidimensional geometrical texture animation
34-55 reference(s)		 From Mars to the Sun
35-54 reference(s)		 The Möbius strip
36-53 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
37-52 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
38-52 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
39-52 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
40-51 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
41-51 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
42-51 reference(s)		 Tridimensional texture animation by means of the Generalized Product
43-50 reference(s)		 Autostereogram with an hidden volcano
44-49 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
45-49 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
46-49 reference(s)		 Bidimensional texture animation by means of the Generalized Product
47-49 reference(s)		 Tridimensional zoom in on the Mandelbrot set
48-49 reference(s)
Autostereogram with an hidden volcano
49-48 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
50-48 reference(s)		 The Jeener-Klein triple bottle
51-48 reference(s)		 A fractal Klein bottle
52-46 reference(s)
Metropolis -a Tribute to Fritz Lang-
53-45 reference(s)		 Quantum vacuum fluctuations
54-44 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
55-44 reference(s)		 Quantum vacuum fluctuations
56-42 reference(s)
Autostereogram with an hidden volcano
57-42 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
58-42 reference(s)		 Anaglyph -blue=right, red=left- of a fractal hypercube
59-42 reference(s)		 Autostereogram of the CMAP
60-41 reference(s)
The generalized Ulam spiral
61-41 reference(s)		 Sixteen interlaced fractal torus
62-41 reference(s)		 A fractal Möbius strip
63-41 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
64-40 reference(s)
An aperiodic Penrose tiling of the plane
65-39 reference(s)		 A fractal aperiodic Penrose tiling
66-39 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
67-39 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
68-38 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
69-37 reference(s)		 The Sierpinski carpet -iteration 3-
70-37 reference(s)		 An Archimedes spiral displaying 5000 numbers
71-37 reference(s)		 Untitled 0267 -a Tribute to Piet Mondrian-
72-37 reference(s)
The Continuum Hypothesis (CH)
73-36 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
74-35 reference(s)		 The Menger sponge -iteration 5-
75-34 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
76-34 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
77-33 reference(s)		 An Archimedes spiral displaying 100000 numbers
78-33 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
79-33 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
80-33 reference(s)
An aperiodic Penrose tiling of the plane
81-32 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
82-32 reference(s)		 Fractal natural form
83-31 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
84-31 reference(s)
An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
85-30 reference(s)		 The Sierpinski carpet -iteration 5-
86-30 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
87-30 reference(s)		 A shell (Jeener surface 1)in motion
88-30 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
89-29 reference(s)		 True colors autostereogram of a fractal landscape
90-29 reference(s)		 A half-random extended Menger sponge -iteration 5-
91-29 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
92-29 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
93-29 reference(s)		 Untitled 0289
94-28 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
95-28 reference(s)		 Fractal natural form
96-27 reference(s)
Quark and gluon structure of a nucleon
97-27 reference(s)		 An arbitrary surface (Jeener surface 2)in motion
98-27 reference(s)		 A shell (Jeener surface 1)
99-27 reference(s)		 An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
100-26 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
101-26 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
102-26 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
103-26 reference(s)		 The bidimensional field defining the three coordinates of the double Jeener bottle
104-26 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
105-25 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
106-24 reference(s)		 The generalized Ulam spiral displaying 100 numbers
107-24 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
108-24 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5-
109-24 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
110-24 reference(s)		 Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
111-24 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
112-24 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
113-23 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
114-23 reference(s)		 An aperiodic Penrose tiling of the plane
115-23 reference(s)		 Intertwining
116-23 reference(s)
The Boy surface
117-23 reference(s)		 The Klein bottle defined by means of three bidimensional fields
118-23 reference(s)		 The Ulam spiral
119-23 reference(s)		 From Pluto to the Sun (non linear scales)
120-23 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
121-23 reference(s)		 A fractal Möbius strip
122-23 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
123-23 reference(s)		 An aperiodic Penrose tiling of the plane
124-22 reference(s)
An aperiodic Penrose tiling of the plane
125-22 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
126-22 reference(s)		 A fractal vegetal structure
127-22 reference(s)		 Artistic view of a sphere
128-22 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
1046 reference(s)		 2-demo_14
778 reference(s)
3-ComplexiteStructurelleClassements.11
503 reference(s)		 4-AVirtualSpaceTimeTravelMachine.Ang
403 reference(s)
5-help.
390 reference(s)		 6-Vcatalogue.11
332 reference(s)
7-ImagesDuVirtuel.01.Fra
262 reference(s)		 8-GenieLogiciel_VisualisationScientifique.01.vv
257 reference(s)
9-Fractal.01
246 reference(s)		 10-ImagesDuVirtuel.01.Fra.FV
243 reference(s)
11-Informations_GoodNewsAndBadNews.01.Fra
233 reference(s)		 12-RealNumbers.01.Fra
214 reference(s)
13-Stereogrammes_AutoStereogrammes.01
211 reference(s)		 14-AProposSite.01.Fra
207 reference(s)
15-Informations_GoodNewsAndBadNews.01.Ang
206 reference(s)		 16-FloatingPointNumbers.01.Fra
200 reference(s)
17-GoldenTriangle.01.Fra
193 reference(s)		 18-Galerie_NumberTheory.FV
189 reference(s)
19-Autostereograms.01.
185 reference(s)		 20-MathematiquesPhysiqueFractales.22
184 reference(s)
21-mail.01.vv
178 reference(s)		 22-SurfaceProjector.01.Ang
178 reference(s)
23-AVirtualSpaceTimeTravelMachine.Fra
178 reference(s)		 24-demo.14
176 reference(s)
25-logiciel
175 reference(s)		 26-Galerie_DeterministicFractalGeometry.FV
175 reference(s)
27-realnumbers
173 reference(s)		 28-genielogiciel
173 reference(s)
29-demo
173 reference(s)		 30-SurfaceProjector.01.Fra
173 reference(s)
31-nombresreels
172 reference(s)		 32-an2000
172 reference(s)
33-demo14
171 reference(s)		 34-MathematiquesPhysiqueFractales.02
171 reference(s)
35-copyright.01.
169 reference(s)		 36-create.03.
168 reference(s)
37-Galerie_GeneralitiesVisualization.FV
168 reference(s)		 38-MorePages.
167 reference(s)
39-NDimensionalDeterministicFractalSets.01.Fra
163 reference(s)		 40-Galerie_ArtAndScience.FV
162 reference(s)
41-Galerie_ArtisticCreation.FV
161 reference(s)		 42-Galerie_NewPictures.FV
159 reference(s)
43-UlamSpiral.01.Fra
158 reference(s)		 44-Fractal.11
155 reference(s)
45-DieuScience.01.Fra
155 reference(s)		 46-ExpV_VirE.21
154 reference(s)
47-EntrelacsIntertwinings.01.Fra
152 reference(s)		 48-AnimFractal.01.
152 reference(s)
49-ExpV_VirE.11
151 reference(s)		 50-Commentaires_NKleinBottle.01
151 reference(s)
51-LOG_xiMc.11
149 reference(s)		 52-GenieLogiciel.01.Fra
148 reference(s)
53-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
146 reference(s)		 54-present.01.
145 reference(s)
55-FloatingPointNumbers.01.Ang
145 reference(s)		 56-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
145 reference(s)
57-EntrelacsIntertwinings.01.Ang
144 reference(s)		 58-NDimensionalDeterministicFractalSets.01.Ang
143 reference(s)
59-MonodimensionalCellularAutomata.01.Fra
143 reference(s)		 60-Kepler.02.
143 reference(s)
61-InformatiqueProfessionnelle.01.Fra
143 reference(s)		 62-FaireDeLaRecherche.01.vv
143 reference(s)
63-subject.01.
142 reference(s)		 64-Fractal.21
142 reference(s)
65-IllusionConnaissance.02
141 reference(s)		 66-OrdinateursEtCalculs.01.Fra
139 reference(s)
67-Galerie_ParticleSystems.FV
139 reference(s)		 68-Galerie_ImagesDesMathematiques.FV
139 reference(s)
69-PerteDeLAssociativite.01
138 reference(s)		 70-GoldenTriangle.01.Ang
138 reference(s)
71-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
137 reference(s)		 72-NatureDesMathematiques.01.vv.Fra
136 reference(s)
73-ExpV_VirE.Fra
136 reference(s)		 74-Galerie_TextureSynthesis.FV
135 reference(s)
75-Fractal.03
135 reference(s)		 76-Spheres.01
134 reference(s)
77-Fractal.02
134 reference(s)		 78-Galerie_BestOf.FV
133 reference(s)
79-MathematiquesPhysiqueFractales.12
132 reference(s)		 80-EnsembleDesGaleries.DIAPO.0001
132 reference(s)
81-AQuoiServentLesMathematiques.01
132 reference(s)		 82-RemarquesCerveau.01
131 reference(s)
83-ArtScience.01
131 reference(s)		 84-Galerie_DeterministicChaos.FV
130 reference(s)
85-EnsembleDesGaleriesFractales.DIAPO.0001
130 reference(s)		 86-catalogue.11
129 reference(s)
87-OrdinateursEtCalculs.01.Ang
129 reference(s)		 88-ImpossibleStructures.01.Fra
129 reference(s)
89-Galerie_QuantumMechanics.FV
129 reference(s)		 90-NombresEtLumiere.01.vv.Fra
128 reference(s)
91-MonodimensionalCellularAutomata.01.Ang
128 reference(s)		 92-Galerie_CelestialMechanics.FV
128 reference(s)
93-UlamSpiral.01.Ang
127 reference(s)		 94-LesApprentisDieux.01
127 reference(s)
95-infinity.02.vv
126 reference(s)		 96-infinity.01.vv
126 reference(s)
97-Galerie_SensitivityToRoundingOffErrors.FV
125 reference(s)		 98-RasoirDOccamEtMathematiques.01.vv.Fra
124 reference(s)
99-Informations_AboutPicturesAnimationsAndFiles.01.Ang
124 reference(s)		 100-Commentaires_NKleinBottle.03
124 reference(s)
101-OrdinateurMathematiquesArt.01.Fra
123 reference(s)		 102-MiseEnSceneDesNombres.01.vv.Fra
123 reference(s)
103-MathematiquesLangageDuGrandLivreDeLaNature.12
123 reference(s)		 104-Galerie_Tributes.FV
123 reference(s)
105-FaireDesMathematiques.01.Fra
123 reference(s)		 106-VisitesGaleriesEnfouies.01.Fra
122 reference(s)
107-VirtualChaos.01.Fra
122 reference(s)		 108-MathematiquesModeleOutilArtiste.02.Ang
122 reference(s)
109-ManyChaos.01.Fra
122 reference(s)		 110-ImpossibleStructures.01.Ang
122 reference(s)
111-Galerie_SignalProcessing.FV
122 reference(s)		 112-Galerie_Astrophysics.FV
122 reference(s)
113-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
122 reference(s)		 114-DuModeleALImage.02.Fra
122 reference(s)
115-VirtualChaos.01.Ang
121 reference(s)		 116-PatrimoineHumanite.02.Fra
120 reference(s)
117-DecimalesPi_1_100.vv
120 reference(s)		 118-Commentaires_Cylindre.02
120 reference(s)
119-VisitesGaleriesEnfouies.01.Ang
118 reference(s)		 120-VisSci_SciVis.02
118 reference(s)
121-MathematiquesEtCinematographe.01.vv
118 reference(s)		 122-ManyChaos.01.Ang
118 reference(s)
123-RasoirDOccamEtMathematiques.01.vv.Ang
117 reference(s)		 124-MathematiquesPhysiqueFractales.01
117 reference(s)
125-EnsembleDesGaleries.DIAPO.1086
117 reference(s)		 126-EnsembleDesGaleries.DIAPO.1053
117 reference(s)
127-AvantPropos.01.Fra
117 reference(s)		 128-VisualisationRelief.01.vv.Fra
116 reference(s)

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




Copyright © Jean-François COLONNA, 2019-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2023.