Monthly Best Of on 07/28/2018




A torus defined by means of three bidimensional fields

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 07/28/2018 and last updated on 10/03/2024 17:03:43 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



A fractal vegetal structure
1-1046 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
2-194 reference(s)		Happy new year 2000
3-191 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
4-176 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-170 reference(s)		The random walk of photons escaping the Sun
6-161 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
7-125 reference(s)		Autostereogram with an hidden volcano
8-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-112 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-109 reference(s)		The random walk of photons escaping the Sun
11-108 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-108 reference(s)
Hypercube
13-88 reference(s)		The bidimensional John Conway's life game
14-87 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-
15-86 reference(s)		Artistic view of the prime numbers
16-86 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
17-82 reference(s)		The generalized Ulam spiral
18-75 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
19-73 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
20-66 reference(s)
Quantum vacuum fluctuations
21-64 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
22-61 reference(s)		The Bonan-Jeener-Klein triple bottle
23-60 reference(s)		Autostereogram with an hidden volcano
24-58 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
25-58 reference(s)		From Mars to the Sun
26-56 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-54 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
28-52 reference(s)
A fractal Möbius strip
29-51 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
30-50 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
31-50 reference(s)		The Jeener-Klein triple bottle
32-49 reference(s)
The random walk of photons escaping the Sun
33-48 reference(s)		Pseudo Olympic Rings
34-47 reference(s)		Bidimensional Hilbert Curve -iteration 4-
35-47 reference(s)		Sixteen interlaced fractal torus
36-47 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
37-45 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
38-45 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
39-45 reference(s)		Autostereogram with an hidden volcano
40-44 reference(s)
The Universe at the heart of a Calabi-Yau manifold
41-43 reference(s)		Tridimensional texture animation by means of the Generalized Product
42-43 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
43-43 reference(s)		Bidimensional geometrical texture animation
44-42 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
45-42 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
46-42 reference(s)		Bidimensional texture animation by means of the Generalized Product
47-42 reference(s)		The Möbius strip
48-42 reference(s)
Tridimensional zoom in on the Mandelbrot set
49-42 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
50-41 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
51-41 reference(s)		Monument Valley à la David Hockney
52-39 reference(s)
A fractal Klein bottle
53-38 reference(s)		The Menger Sponge -iteration 5-
54-37 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
55-35 reference(s)		True colors autostereogram of a fractal landscape
56-34 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
57-34 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
58-33 reference(s)		The Sierpinski Carpet -iteration 5-
59-33 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
60-31 reference(s)
Autostereogram with an hidden ring and ghost bows
61-31 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
62-30 reference(s)		Autostereogram with an hidden ring and ghost bows
63-30 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
64-30 reference(s)
A spherical cross-section inside the Menger Sponge -iteration 5-
65-28 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
66-28 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
67-27 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
68-26 reference(s)
Autostereogram with an hidden volcano
69-26 reference(s)		A random permutation of pixel blocks of an aperiodic Penrose tiling of the plane
70-26 reference(s)		A random permutation of pixel blocks of a bidimensional field
71-26 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
72-25 reference(s)
4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
73-25 reference(s)		A 'pyramidal' cross-section inside the Menger Sponge -iteration 5-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
74-25 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-
75-25 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
76-25 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
77-24 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
78-23 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
79-23 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
80-22 reference(s)
The generalized Ulam spiral displaying 100 numbers
81-22 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
82-22 reference(s)		A quaternionic Julia set -tridimensional cross-section-
83-22 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
84-22 reference(s)
An aperiodic Penrose tiling of the plane
85-21 reference(s)		The Boy surface
86-21 reference(s)		An Archimedes spiral displaying 5000 numbers
87-21 reference(s)		Monument Valley à la David Hockney
88-21 reference(s)
Quark and gluon structure of a nucleon
89-21 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
90-21 reference(s)		A 'pyramidal' cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
91-21 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
92-20 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
93-20 reference(s)		The first four iterations of the construction of the von Koch snowflake
94-20 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
95-20 reference(s)		Metropolis -a Tribute to Fritz Lang-
96-20 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
97-20 reference(s)		Three hexagons defining 28 different points (13 vertices plus 15 'middle' points, for 9 prime -green- and 19 non prime numbers -red-)
98-20 reference(s)		A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
99-20 reference(s)		Heterogeneous -tridimensional fractal field- random meshing of a cube
100-20 reference(s)
A punched paper tape
101-19 reference(s)		An Archimedes spiral displaying 100000 numbers
102-19 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
103-19 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
104-19 reference(s)
The Jeener-Klein triple bottle
105-19 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
106-18 reference(s)		Empty
107-18 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
108-18 reference(s)
A fractal aperiodic Penrose tiling
109-18 reference(s)		Fractal 7-foil torus knot
110-18 reference(s)		An aperiodic Penrose tiling of the plane
111-17 reference(s)		A pay slip
112-17 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)
113-17 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
114-17 reference(s)		Tridimensional Hilbert Curve -iteration 3-
115-17 reference(s)		Sixteen interlaced torus
116-17 reference(s)
A fractal torus
117-17 reference(s)		The Klein bottle
118-17 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
119-16 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
120-16 reference(s)
An aperiodic non linear Penrose tiling of the plane
121-16 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the plane
122-16 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
123-16 reference(s)		Gravitation and space-time curvature
124-16 reference(s)
The Scream -a Tribute to Edvard Munch-
125-16 reference(s)		A half-random extended Menger Sponge -iteration 5-
126-16 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
127-16 reference(s)		Quantum vacuum fluctuations
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-Vcatalogue.11
3699 reference(s)		2-demo_14
1218 reference(s)
3-An2000.01.Fra
803 reference(s)		4-ImagesDuVirtuel.01.Fra
797 reference(s)
5-ComplexiteStructurelleClassements.11
430 reference(s)		6-MathematiquesPhysiqueFractales.22
393 reference(s)
7-MathematiquesModeleOutilArtiste.02.Ang
376 reference(s)		8-DieuScience.01.Fra
347 reference(s)
9-Fractal.11
344 reference(s)		10-LesApprentisDieux.01
331 reference(s)
11-AnimFractal.01.
325 reference(s)		12-OrdinateurMathematiquesArt.01.Fra
315 reference(s)
13-Galerie_NumberTheory.FV
303 reference(s)		14-AVirtualSpaceTimeTravelMachine.Ang
301 reference(s)
15-MorePages.
296 reference(s)		16-Galerie_GeneralitiesVisualization.FV
290 reference(s)
17-help.
281 reference(s)		18-Galerie_DeterministicFractalGeometry.FV
276 reference(s)
19-Autostereograms.01.
263 reference(s)		20-RealNumbers.01.Fra
254 reference(s)
21-subject.01.
253 reference(s)		22-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
244 reference(s)
23-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
241 reference(s)		24-Galerie_QuantumMechanics.FV
237 reference(s)
25-Fractal.01
235 reference(s)		26-Galerie_DeterministicChaos.FV
234 reference(s)
27-Galerie_SensitivityToRoundingOffErrors.FV
233 reference(s)		28-Fractal.21
231 reference(s)
29-Informations_GoodNewsAndBadNews.01.Fra
229 reference(s)		30-FaireDesMathematiques.01.Fra
228 reference(s)
31-Galerie_ArtisticCreation.FV
226 reference(s)		32-DuModeleALImage.02.Fra
226 reference(s)
33-Galerie_Astrophysics.FV
217 reference(s)		34-present.01.
214 reference(s)
35-UlamSpiral.01.Fra
213 reference(s)		36-MathematiquesPhysiqueFractales.02
213 reference(s)
37-Kepler.02.
213 reference(s)		38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
212 reference(s)
39-FaireDeLaRecherche.01.vv
212 reference(s)		40-AProposSite.01.Fra
211 reference(s)
41-create.03.
210 reference(s)		42-FloatingPointNumbers.01.Fra
207 reference(s)
43-NDimensionalDeterministicFractalSets.01.Fra
204 reference(s)		44-SurfaceProjector.01.Ang
203 reference(s)
45-Spheres.01
203 reference(s)		46-GenieLogiciel.01.Fra
202 reference(s)
47-SurfaceProjector.01.Fra
201 reference(s)		48-Stereogrammes_AutoStereogrammes.01
201 reference(s)
49-AVirtualSpaceTimeTravelMachine.Fra
201 reference(s)		50-FloatingPointNumbers.01.Ang
200 reference(s)
51-MonodimensionalCellularAutomata.01.Fra
199 reference(s)		52-An2000.01.Ang
199 reference(s)
53-copyright.01.
198 reference(s)		54-GoldenTriangle.01.Fra
197 reference(s)
55-Galerie_ArtAndScience.FV
197 reference(s)		56-Commentaires_NKleinBottle.01
197 reference(s)
57-mail.01.vv
195 reference(s)		58-VisualisationRelief.01.vv.Fra
193 reference(s)
59-Galerie_NumberTheory
192 reference(s)		60-Galerie_NewPictures.FV
192 reference(s)
61-LOG_xiMc.11
191 reference(s)		62-ManyChaos.01.Ang
190 reference(s)
63-NatureDesMathematiques.01.vv.Fra
186 reference(s)		64-MonodimensionalCellularAutomata.01.Ang
185 reference(s)
65-MathematiquesPhysiqueFractales.12
184 reference(s)		66-Galerie_SignalProcessing.FV
183 reference(s)
67-ArtScience.01
182 reference(s)		68-Fractal.03
181 reference(s)
69-UlamSpiral.01.Ang
179 reference(s)		70-GenieLogiciel_VisualisationScientifique.01.vv
179 reference(s)
71-logiciel
178 reference(s)		72-Galerie_FluidMechanics.FV
178 reference(s)
73-demo
177 reference(s)		74-an2000
177 reference(s)
75-nombresreels
176 reference(s)		76-demo14
176 reference(s)
77-Informations_GoodNewsAndBadNews.01.Ang
176 reference(s)		78-realnumbers
175 reference(s)
79-demo.14
174 reference(s)		80-genielogiciel
173 reference(s)
81-ManyChaos.01.Fra
173 reference(s)		82-catalogue.11
171 reference(s)
83-Galerie_ParticleSystems.FV
170 reference(s)		84-Galerie_CelestialMechanics.FV
169 reference(s)
85-infinity.01.vv
168 reference(s)		86-NombresEtLumiere.01.vv.Fra
168 reference(s)
87-EntrelacsIntertwinings.01.Ang
168 reference(s)		88-Galerie_BestOf.FV
166 reference(s)
89-ExpV_VirE.11
165 reference(s)		90-EntrelacsIntertwinings.01.Fra
165 reference(s)
91-GoldenTriangle.01.Ang
163 reference(s)		92-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
163 reference(s)
93-OrdinateursEtCalculs.01.Ang
162 reference(s)		94-OrdinateursEtCalculs.01.Fra
160 reference(s)
95-ImpossibleStructures.01.Ang
159 reference(s)		96-DuReelAuVirtuel.01.Fra
159 reference(s)
97-RasoirDOccamEtMathematiques.01.vv.Fra
158 reference(s)		98-NDimensionalDeterministicFractalSets.01.Ang
157 reference(s)
99-ImpossibleStructures.01.Fra
157 reference(s)		100-IllusionConnaissance.02
157 reference(s)
101-Galerie_SalonDAutomne.FV
157 reference(s)		102-Galerie_Tributes.FV
155 reference(s)
103-Galerie_ArtisticCreation
152 reference(s)		104-Fractal.02
151 reference(s)
105-VirtualChaos.01.Fra
150 reference(s)		106-PerteDeLAssociativite.01
150 reference(s)
107-AvantPropos.01.Fra
150 reference(s)		108-infinity.02.vv
148 reference(s)
109-VirtualChaos.01.Ang
148 reference(s)		110-RasoirDOccamEtMathematiques.01.vv.Ang
148 reference(s)
111-QuelquesQuestionsSurLaRecherche.01.Fra
148 reference(s)		112-MiseEnSceneDesNombres.01.vv.Fra
147 reference(s)
113-Galerie_TextureSynthesis.FV
147 reference(s)		114-EnsembleDesGaleries.DIAPO.0001
147 reference(s)
115-PatrimoineHumanite.02.Fra
146 reference(s)		116-MiseEnSceneDesNombres.01.vv.Ang
146 reference(s)
117-Galerie_ArtAndScience
146 reference(s)		118-AvantPropos.01.Ang
145 reference(s)
119-RemarquesCerveau.01
144 reference(s)		120-MathematiquesEtCinematographe.01.vv
144 reference(s)
121-Galerie_ImagesDidactiques.FV
144 reference(s)		122-EnsembleDesGaleriesFractales.DIAPO.0001
144 reference(s)
123-AProposSite.01.Ang
144 reference(s)		124-MathematiquesEtRepresentations.01.vv.Ang
143 reference(s)
125-ImagesDuVirtuel.01.Fra.FV
143 reference(s)		126-VisitesGaleriesEnfouies.01.Fra
142 reference(s)
127-Pcatalogue.11
142 reference(s)		128-VisitesGaleriesEnfouies.01.Ang
141 reference(s)

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Copyright © Jean-François COLONNA, 2018-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2018-2024.