Monthly Best Of on 03/28/2017




Zoom in on a pseudo-quaternionic 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 03/28/2017 and last updated on 10/03/2024 17:03:26 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-891 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-404 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-334 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-324 reference(s)
Happy new year 2000
5-257 reference(s)		Autostereogram with an hidden volcano
6-243 reference(s)		Autostereogram with an hidden volcano
7-210 reference(s)		The Bonan-Jeener-Klein triple bottle
8-185 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-178 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
10-177 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
11-164 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
12-158 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
13-141 reference(s)		The random walk of photons escaping the Sun
14-135 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
15-133 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
16-124 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-121 reference(s)		Autostereogram with an hidden ring and ghost bows
18-120 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-117 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-117 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-112 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-109 reference(s)		An aperiodic Penrose tiling of the plane
23-106 reference(s)		Artistic view of the prime numbers
24-105 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
25-104 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-92 reference(s)		The first four iterations of the construction of the von Koch snowflake
27-90 reference(s)		The generalized Ulam spiral
28-81 reference(s)
The Jeener-Klein triple bottle
29-73 reference(s)		Quantum vacuum fluctuations
30-72 reference(s)		A perfect bidimensional fractal tree and the self-similarity
31-72 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
32-68 reference(s)
Autostereogram with an hidden volcano
33-66 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
34-65 reference(s)		Portrait (Lena)-7x7 square-
35-63 reference(s)		Tridimensional display of the inflationary Universe
36-62 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
37-62 reference(s)		Autostereogram with an hidden volcano
38-61 reference(s)		The bidimensional John Conway's life game
39-57 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-56 reference(s)
The Universe at the heart of a Calabi-Yau manifold
41-54 reference(s)		The random walk of photons escaping the Sun
42-54 reference(s)		Fractal natural form
43-53 reference(s)		Autostereogram with an hidden ring and ghost bows
44-52 reference(s)
The random walk of photons escaping the Sun
45-48 reference(s)		An Archimedes spiral displaying 10000 numbers
46-48 reference(s)		Sixteen interlaced fractal torus
47-47 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
48-46 reference(s)
The Möbius strip
49-44 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
50-43 reference(s)		The Klein bottle
51-43 reference(s)		Fractal natural form
52-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
53-41 reference(s)		True colors autostereogram of a fractal landscape
54-41 reference(s)		From Mars to the Sun
55-41 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
56-41 reference(s)
Bidimensional geometrical texture animation
57-40 reference(s)		Tridimensional texture animation by means of the Generalized Product
58-40 reference(s)		An aperiodic Penrose tiling of the plane
59-39 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
60-39 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
61-39 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
62-39 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
63-39 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
64-39 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
65-38 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
66-38 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
67-38 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-
68-38 reference(s)
From 'geocentrism' to 'heliocentrism'
69-38 reference(s)		Tridimensional zoom in on the Mandelbrot set
70-38 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
71-38 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
72-37 reference(s)
Tridimensional Hilbert Curve -iteration 3-
73-37 reference(s)		Pseudo Olympic Rings
74-36 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
75-36 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
76-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
77-36 reference(s)		A fractal vegetal structure
78-35 reference(s)		Autostereogram with an hidden volcano
79-35 reference(s)		The first four iterations of the construction of the von Koch snowflake
80-33 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
81-33 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-
82-32 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
83-31 reference(s)		Quark and gluon structure of a nucleon
84-31 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
85-31 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
86-30 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
87-29 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
88-28 reference(s)
Autostereogram of Monument Valley
89-26 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
90-26 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
91-25 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
92-25 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
93-25 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
94-24 reference(s)		Generation of the 63 first Conway's surreal numbers
95-24 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
96-24 reference(s)
An helix on a 'tridimensional epicycloïdal' pseudo-torus
97-23 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
98-22 reference(s)		An helix on a torus
99-21 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
100-21 reference(s)
The tower -a Tribute to Vladimir Tatline-
101-21 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
102-20 reference(s)		Untitled 0261
103-20 reference(s)		The 64 first lines of the Pascal's Triangle
104-19 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
105-19 reference(s)		The Boy surface
106-19 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)
107-19 reference(s)		The Lorenz attractor
108-19 reference(s)
The Lorenz attractor
109-19 reference(s)		A 'tridimensional epicycloïdal' pseudo-torus
110-19 reference(s)		Universe or Multiverse -The fractal Universe-?
111-18 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
112-18 reference(s)
A punched paper tape
113-18 reference(s)		A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
114-18 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
115-18 reference(s)		Monument Valley à la David Hockney
116-18 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
117-18 reference(s)		A fractal hypercube
118-18 reference(s)		Untitled 0260
119-18 reference(s)		Two helices on the Bonan-Jeener-Klein triple bottle
120-18 reference(s)
Quantum vacuum fluctuations
121-17 reference(s)		An aperiodic Penrose tiling of the plane
122-17 reference(s)		The Sierpinski Carpet -iteration 5-
123-17 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
124-17 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
125-17 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
126-17 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
127-17 reference(s)		A quoi servent les Mathématiques?
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1012 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
643 reference(s)
3-An2000.01.Fra
415 reference(s)		4-ComplexiteStructurelleClassements.11
368 reference(s)
5-Stereogrammes_AutoStereogrammes.01
367 reference(s)		6-Vcatalogue.11
346 reference(s)
7-help.
314 reference(s)		8-Galerie_GeneralitiesVisualization.FV
306 reference(s)
9-Fractal.01
277 reference(s)		10-GenieLogiciel_VisualisationScientifique.01.vv
275 reference(s)
11-Galerie_NumberTheory.FV
261 reference(s)		12-AVirtualSpaceTimeTravelMachine.Fra
258 reference(s)
13-GoldenTriangle.01.Fra
255 reference(s)		14-FaireDeLaRecherche.01.vv
247 reference(s)
15-RealNumbers.01.Fra
243 reference(s)		16-mail.01.vv
237 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
233 reference(s)		18-Galerie_ParticleSystems.FV
230 reference(s)
19-AQuoiServentLesMathematiques.01
230 reference(s)		20-Galerie_ArtAndScience.FV
226 reference(s)
21-AProposSite.01.Fra
225 reference(s)		22-ExpV_VirE.11
224 reference(s)
23-UlamSpiral.01.Fra
221 reference(s)		24-Galerie_NewPictures.FV
221 reference(s)
25-FloatingPointNumbers.01.Fra
221 reference(s)		26-Galerie_BestOf.FV
219 reference(s)
27-SurfaceProjector.01.Fra
217 reference(s)		28-MathematiquesPhysiqueFractales.02
212 reference(s)
29-Galerie_QuantumMechanics.FV
212 reference(s)		30-AnimFractal.01.
210 reference(s)
31-MorePages.
204 reference(s)		32-Fractal.11
204 reference(s)
33-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
204 reference(s)		34-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
203 reference(s)
35-Galerie_CelestialMechanics.FV
200 reference(s)		36-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
199 reference(s)
37-Galerie_ArtisticCreation.FV
199 reference(s)		38-SurfaceProjector.01.Ang
198 reference(s)
39-NDimensionalDeterministicFractalSets.01.Fra
196 reference(s)		40-copyright.01.
195 reference(s)
41-NombresEtLumiere.01.vv.Fra
195 reference(s)		42-NDimensionalDeterministicFractalSets.01.Ang
192 reference(s)
43-ImpossibleStructures.01.Ang
190 reference(s)		44-Galerie_FluidMechanics.FV
190 reference(s)
45-catalogue.11
189 reference(s)		46-MathematiquesPhysiqueFractales.22
189 reference(s)
47-LOG_xiMc.11
189 reference(s)		48-FloatingPointNumbers.01.Ang
187 reference(s)
49-Galerie_DeterministicChaos.FV
184 reference(s)		50-Galerie_Astrophysics.FV
184 reference(s)
51-OrdinateursEtCalculs.01.Fra
182 reference(s)		52-MonodimensionalCellularAutomata.01.Fra
182 reference(s)
53-PerteDeLAssociativite.01
180 reference(s)		54-OrdinateurMathematiquesArt.01.Fra
180 reference(s)
55-GenieLogiciel.01.Fra
179 reference(s)		56-ImpossibleStructures.01.Fra
178 reference(s)
57-EntrelacsIntertwinings.01.Ang
178 reference(s)		58-subject.01.
177 reference(s)
59-MonodimensionalCellularAutomata.01.Ang
177 reference(s)		60-EntrelacsIntertwinings.01.Fra
177 reference(s)
61-infinity.01.vv
176 reference(s)		62-NatureDesMathematiques.01.vv.Fra
176 reference(s)
63-realnumbers
175 reference(s)		64-Kepler.02.
175 reference(s)
65-Fractal.03
175 reference(s)		66-FaireDesMathematiques.01.Fra
174 reference(s)
67-DieuScience.01.Fra
174 reference(s)		68-Galerie_TextureSynthesis.FV
173 reference(s)
69-infinity.02.vv
172 reference(s)		70-VirtualChaos.01.Fra
172 reference(s)
71-demo.14
171 reference(s)		72-VirtualChaos.01.Ang
171 reference(s)
73-UlamSpiral.01.Ang
171 reference(s)		74-MathematiquesModeleOutilArtiste.02.Ang
171 reference(s)
75-Informations_GoodNewsAndBadNews.01.Fra
171 reference(s)		76-Galerie_SignalProcessing.FV
171 reference(s)
77-nombresreels
170 reference(s)		78-genielogiciel
170 reference(s)
79-ImagesDuVirtuel.01.Fra.FV
170 reference(s)		80-fairedelarecherche.01.vv
169 reference(s)
81-MiseEnSceneDesNombres.01.vv.Fra
169 reference(s)		82-IllusionConnaissance.02
169 reference(s)
83-Galerie_SensitivityToRoundingOffErrors.FV
169 reference(s)		84-demo
168 reference(s)
85-logiciel
167 reference(s)		86-create.03.
167 reference(s)
87-VisitesGaleriesEnfouies.01.Fra
167 reference(s)		88-GoldenTriangle.01.Ang
167 reference(s)
89-demo14
166 reference(s)		90-EnsembleDesGaleriesFractales.DIAPO.0001
166 reference(s)
91-OrdinateursEtCalculs.01.Ang
165 reference(s)		92-MathematiquesLangageDuGrandLivreDeLaNature.12
165 reference(s)
93-an2000
164 reference(s)		94-ManyChaos.01.Ang
164 reference(s)
95-Spheres.01
163 reference(s)		96-RemarquesCerveau.01
163 reference(s)
97-MathematiquesEtCinematographe.01.vv
163 reference(s)		98-ManyChaos.01.Fra
163 reference(s)
99-EnsembleDesGaleries.DIAPO.0001
163 reference(s)		100-Autostereograms.01.
163 reference(s)
101-Fractal.02
162 reference(s)		102-ExpV_VirE.Ang
162 reference(s)
103-VisitesGaleriesEnfouies.01.Ang
160 reference(s)		104-PatrimoineHumanite.02.Fra
160 reference(s)
105-MathematiquesEtRepresentations.01.vv.Ang
160 reference(s)		106-DuModeleALImage.02.Fra
160 reference(s)
107-RasoirDOccamEtMathematiques.01.vv.Fra
159 reference(s)		108-RasoirDOccamEtMathematiques.01.vv.Ang
159 reference(s)
109-LesApprentisDieux.01
159 reference(s)		110-Galerie_Tributes.FV
159 reference(s)
111-MiseEnSceneDesNombres.01.vv.Ang
158 reference(s)		112-VisualisationRelief.01.vv.Fra
156 reference(s)
113-MathematiquesPhysiqueFractales.01
156 reference(s)		114-QuelquesQuestionsSurLaRecherche.01.Fra
154 reference(s)
115-AvantPropos.01.Ang
154 reference(s)		116-AvantPropos.01.Fra
153 reference(s)
117-Informations_AboutPicturesAnimationsAndFiles.01.Ang
150 reference(s)		118-PerteDeLaDistributivite.01.DIS2
144 reference(s)
119-Commentaires_Epicycloide.03
142 reference(s)		120-ExpV_VirE.21
140 reference(s)
121-VisSci_SciVis.02
138 reference(s)		122-VisSci_SciVis.01
137 reference(s)
123-An2000.02.Fra
137 reference(s)		124-MathematiquesPhysiqueFractales.02.25
136 reference(s)
125-Commentaires_DoubleJeenerBottle.01
136 reference(s)		126-goldentriangle.01.fra
134 reference(s)
127-present.01.
132 reference(s)		128-relativity.01.
131 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.