Monthly Best Of on 05/28/2017




Anaglyph of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-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 05/28/2017 and last updated on 10/03/2024 17:03:27 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-346 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-321 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-275 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-262 reference(s)
Happy new year 2000
5-251 reference(s)		Portrait (Lena)-7x7 square-
6-232 reference(s)		Heterogeneous meshing of a square
7-207 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
8-189 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
9-186 reference(s)		Autostereogram with an hidden volcano
10-169 reference(s)		Autostereogram with an hidden volcano
11-161 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-161 reference(s)
Autostereogram with an hidden ring and ghost bows
13-127 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-125 reference(s)		The random walk of photons escaping the Sun
15-123 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
16-122 reference(s)
The Bonan-Jeener-Klein triple bottle
17-110 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-109 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-102 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-102 reference(s)
The random walk of photons escaping the Sun
21-95 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-91 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
23-82 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
24-80 reference(s)
The generalized Ulam spiral
25-80 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-77 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
27-71 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
28-71 reference(s)
Artistic view of the prime numbers
29-65 reference(s)		The first four iterations of the construction of the von Koch snowflake
30-61 reference(s)		Quantum vacuum fluctuations
31-57 reference(s)		The bidimensional John Conway's life game
32-57 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-56 reference(s)		An aperiodic Penrose tiling of the plane
34-55 reference(s)		Fractal natural form
35-53 reference(s)		Sixteen interlaced fractal torus
36-50 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
37-50 reference(s)		Autostereogram with an hidden volcano
38-49 reference(s)		The Universe at the heart of a Calabi-Yau manifold
39-48 reference(s)		The Jeener-Klein triple bottle
40-47 reference(s)
The random walk of photons escaping the Sun
41-43 reference(s)		Autostereogram with an hidden ring and ghost bows
42-42 reference(s)		Wavelet transform of a bidimensional fractal field
43-41 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
44-41 reference(s)
Fractal structure of a nucleon
45-39 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
46-38 reference(s)		From Mars to the Sun
47-38 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
48-37 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
49-37 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-
50-37 reference(s)		Bidimensional geometrical texture animation
51-36 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
52-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
53-36 reference(s)		Tridimensional texture animation by means of the Generalized Product
54-36 reference(s)		Bidimensional texture animation by means of the Generalized Product
55-36 reference(s)		The end of the World
56-36 reference(s)
The Möbius strip
57-36 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-
58-36 reference(s)		Tridimensional zoom in on the Mandelbrot set
59-36 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
60-36 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
61-35 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
62-35 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
63-35 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
64-35 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
65-35 reference(s)		Autostereogram with an hidden volcano
66-34 reference(s)		Pseudo Olympic Rings
67-34 reference(s)		True colors autostereogram of a fractal landscape
68-34 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
69-34 reference(s)		Tridimensional display of the inflationary Universe
70-33 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
71-32 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
72-32 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
73-31 reference(s)		Tridimensional Hilbert Curve -iteration 3-
74-31 reference(s)		Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
75-30 reference(s)		Quark and gluon structure of a nucleon
76-29 reference(s)
Quark and gluon structure of a nucleon
77-29 reference(s)		Fractal natural form
78-28 reference(s)		An aperiodic Penrose tiling of the plane
79-27 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
80-27 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
81-27 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
82-26 reference(s)		A perfect bidimensional fractal tree and the self-similarity
83-26 reference(s)		An Archimedes spiral displaying 10000 numbers
84-26 reference(s)
Autostereogram of Monument Valley
85-26 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
86-25 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
87-24 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
88-24 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
89-24 reference(s)		The first four iterations of the construction of the von Koch snowflake
90-23 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
91-23 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
92-23 reference(s)
Autostereogram with an hidden volcano
93-22 reference(s)		A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
94-22 reference(s)		Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
95-22 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-21 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
97-21 reference(s)		From 'geocentrism' to 'heliocentrism'
98-21 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
99-21 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
100-20 reference(s)
Untitled 0242
101-20 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
102-20 reference(s)		Untitled 0261
103-20 reference(s)		The Klein bottle
104-20 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)
105-19 reference(s)		The Lorenz attractor
106-19 reference(s)		The Jeener-Klein triple bottle
107-19 reference(s)		Untitled 0263
108-18 reference(s)
Untitled 0262
109-18 reference(s)		The Klein bottle
110-18 reference(s)		Bidimensional zoom in on the Mandelbrot set
111-18 reference(s)		The 64 first lines of the Pascal's Triangle
112-17 reference(s)
An Archimedes spiral displaying 100000 numbers
113-17 reference(s)		An Archimedes spiral displaying 5000 numbers
114-17 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
115-17 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
116-17 reference(s)
Rotation about the X axis of the Lorenz attractor
117-17 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
118-17 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
119-16 reference(s)		Generation of the 63 first Conway's surreal numbers
120-16 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
121-16 reference(s)		A truncated tridimensional sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
122-16 reference(s)		The Boy surface
123-16 reference(s)		A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
124-16 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
125-16 reference(s)		Fractal synthesis of mountains and clouds
126-16 reference(s)		From Pluto to the Sun -extrapolation 2-
127-16 reference(s)		Tridimenional display of the Goldbach conjecture
128-16 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
898 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
520 reference(s)
3-An2000.01.Fra
453 reference(s)		4-Vcatalogue.11
331 reference(s)
5-ComplexiteStructurelleClassements.11
320 reference(s)		6-help.
318 reference(s)
7-Stereogrammes_AutoStereogrammes.01
318 reference(s)		8-Galerie_GeneralitiesVisualization.FV
286 reference(s)
9-Fractal.01
277 reference(s)		10-mail.01.vv
264 reference(s)
11-Galerie_NumberTheory.FV
259 reference(s)		12-MorePages.
256 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
254 reference(s)		14-RealNumbers.01.Fra
253 reference(s)
15-GenieLogiciel_VisualisationScientifique.01.vv
252 reference(s)		16-AProposSite.01.Fra
238 reference(s)
17-FloatingPointNumbers.01.Fra
237 reference(s)		18-copyright.01.
234 reference(s)
19-MathematiquesPhysiqueFractales.02
232 reference(s)		20-Galerie_ArtisticCreation.FV
231 reference(s)
21-Galerie_ArtAndScience.FV
224 reference(s)		22-Galerie_BestOf.FV
223 reference(s)
23-Galerie_QuantumMechanics.FV
219 reference(s)		24-Galerie_DeterministicFractalGeometry.FV
219 reference(s)
25-FaireDeLaRecherche.01.vv
218 reference(s)		26-AnimFractal.01.
215 reference(s)
27-GoldenTriangle.01.Fra
214 reference(s)		28-Galerie_ParticleSystems.FV
214 reference(s)
29-ExpV_VirE.11
214 reference(s)		30-SurfaceProjector.01.Ang
213 reference(s)
31-FloatingPointNumbers.01.Ang
213 reference(s)		32-SurfaceProjector.01.Fra
212 reference(s)
33-NombresEtLumiere.01.vv.Fra
212 reference(s)		34-Galerie_Astrophysics.FV
212 reference(s)
35-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
210 reference(s)		36-Informations_GoodNewsAndBadNews.01.Fra
209 reference(s)
37-Galerie_NewPictures.FV
208 reference(s)		38-Galerie_CelestialMechanics.FV
207 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
205 reference(s)		40-Fractal.11
205 reference(s)
41-NDimensionalDeterministicFractalSets.01.Ang
204 reference(s)		42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
204 reference(s)
43-DieuScience.01.Fra
202 reference(s)		44-Galerie_FluidMechanics.FV
199 reference(s)
45-Galerie_DeterministicChaos.FV
199 reference(s)		46-LOG_xiMc.11
197 reference(s)
47-EntrelacsIntertwinings.01.Fra
197 reference(s)		48-catalogue.11
196 reference(s)
49-Galerie_SignalProcessing.FV
196 reference(s)		50-EntrelacsIntertwinings.01.Ang
196 reference(s)
51-NDimensionalDeterministicFractalSets.01.Fra
195 reference(s)		52-MathematiquesPhysiqueFractales.22
195 reference(s)
53-ImpossibleStructures.01.Ang
194 reference(s)		54-UlamSpiral.01.Fra
192 reference(s)
55-GenieLogiciel.01.Fra
192 reference(s)		56-OrdinateursEtCalculs.01.Fra
189 reference(s)
57-FaireDesMathematiques.01.Fra
189 reference(s)		58-GoldenTriangle.01.Ang
187 reference(s)
59-Fractal.03
187 reference(s)		60-DuModeleALImage.02.Fra
187 reference(s)
61-infinity.01.vv
186 reference(s)		62-NatureDesMathematiques.01.vv.Fra
186 reference(s)
63-ImagesDuVirtuel.01.Fra.FV
185 reference(s)		64-Kepler.02.
184 reference(s)
65-ImpossibleStructures.01.Fra
184 reference(s)		66-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
182 reference(s)
67-AQuoiServentLesMathematiques.01
182 reference(s)		68-RemarquesCerveau.01
181 reference(s)
69-QuelquesQuestionsSurLaRecherche.01.Fra
181 reference(s)		70-PerteDeLAssociativite.01
181 reference(s)
71-MathematiquesModeleOutilArtiste.02.Ang
181 reference(s)		72-Autostereograms.01.
181 reference(s)
73-LesApprentisDieux.01
180 reference(s)		74-AvantPropos.01.Ang
180 reference(s)
75-PatrimoineHumanite.02.Fra
179 reference(s)		76-OrdinateursEtCalculs.01.Ang
179 reference(s)
77-OrdinateurMathematiquesArt.01.Fra
179 reference(s)		78-MathematiquesEtCinematographe.01.vv
179 reference(s)
79-IllusionConnaissance.02
179 reference(s)		80-VirtualChaos.01.Ang
178 reference(s)
81-UlamSpiral.01.Ang
178 reference(s)		82-MonodimensionalCellularAutomata.01.Ang
178 reference(s)
83-Galerie_Tributes.FV
178 reference(s)		84-subject.01.
177 reference(s)
85-Commentaires_Epicycloide.03
177 reference(s)		86-infinity.02.vv
176 reference(s)
87-MathematiquesEtRepresentations.01.vv.Ang
175 reference(s)		88-ManyChaos.01.Ang
175 reference(s)
89-Fractal.02
175 reference(s)		90-create.03.
174 reference(s)
91-RasoirDOccamEtMathematiques.01.vv.Ang
173 reference(s)		92-NombresPremiers_10000.vv
173 reference(s)
93-Galerie_TextureSynthesis.FV
173 reference(s)		94-EnsembleDesGaleries.DIAPO.0001
173 reference(s)
95-AvantPropos.01.Fra
173 reference(s)		96-VirtualChaos.01.Fra
172 reference(s)
97-Spheres.01
172 reference(s)		98-VisitesGaleriesEnfouies.01.Fra
171 reference(s)
99-MiseEnSceneDesNombres.01.vv.Fra
171 reference(s)		100-MathematiquesLangageDuGrandLivreDeLaNature.12
171 reference(s)
101-VisualisationRelief.01.vv.Fra
170 reference(s)		102-MonodimensionalCellularAutomata.01.Fra
170 reference(s)
103-MiseEnSceneDesNombres.01.vv.Ang
170 reference(s)		104-ExpV_VirE.Ang
170 reference(s)
105-EnsembleDesGaleriesFractales.DIAPO.0001
170 reference(s)		106-ManyChaos.01.Fra
169 reference(s)
107-Galerie_SensitivityToRoundingOffErrors.FV
169 reference(s)		108-RasoirDOccamEtMathematiques.01.vv.Fra
168 reference(s)
109-PerteDeLaDistributivite.01.DIS2
168 reference(s)		110-VisitesGaleriesEnfouies.01.Ang
167 reference(s)
111-present.01.
161 reference(s)		112-An2000.02.Fra
160 reference(s)
113-Commentaires_DefinitionOctonions.01
159 reference(s)		114-an2000
155 reference(s)
115-demo14
153 reference(s)		116-nombresreels
152 reference(s)
117-logiciel
152 reference(s)		118-demo
152 reference(s)
119-ExpV_VirE.21
152 reference(s)		120-realnumbers
151 reference(s)
121-genielogiciel
151 reference(s)		122-demo.14
150 reference(s)
123-Galerie_ImagesDesMathematiques.FV
145 reference(s)		124-Informations_AboutPicturesAnimationsAndFiles.01.Ang
144 reference(s)
125-VisSci_SciVis.02
143 reference(s)		126-ArtScience.01
142 reference(s)
127-Commentaires_DoubleJeenerBottle.01
141 reference(s)		128-VisSci_SciVis.01
140 reference(s)

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




Copyright © Jean-François COLONNA, 2017-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2017-2024.