Monthly Best Of on 11/28/2016




Tridimensional visualization of the Mandelbrot set

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 11/28/2016 and last updated on 11/14/2023 17:49:05 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-962 reference(s)		 Hypercube
2-443 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-370 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
4-268 reference(s)
Happy new year 2000
5-267 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
6-264 reference(s)		 Autostereogram with an hidden volcano
7-251 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
8-247 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-238 reference(s)		 Autostereogram with an hidden volcano
10-198 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-178 reference(s)		 The Bonan-Jeener-Klein triple bottle
12-148 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
13-125 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
14-116 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
15-114 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-103 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-99 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-99 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
19-98 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-86 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
21-84 reference(s)		 The random walk of photons escaping the Sun
22-83 reference(s)		 Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
23-81 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-81 reference(s)
The Jeener-Klein triple bottle
25-81 reference(s)		 Autostereogram with an hidden volcano
26-76 reference(s)		 Artistic view of the prime numbers
27-76 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
28-70 reference(s)
The generalized Ulam spiral
29-67 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
30-64 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
31-60 reference(s)		 From 'geocentrism' to 'heliocentrism'
32-59 reference(s)
Autostereogram with an hidden volcano
33-57 reference(s)		 Fractal natural form
34-56 reference(s)		 The random walk of photons escaping the Sun
35-52 reference(s)		 The first four iterations of the construction of the von Koch snowflake
36-51 reference(s)
Tridimensional Hilbert Curve -iteration 3-
37-50 reference(s)		 The random walk of photons escaping the Sun
38-49 reference(s)		 The bidimensional John Conway's life game
39-49 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-49 reference(s)
True colors autostereogram of a fractal landscape
41-47 reference(s)		 An aperiodic Penrose tiling of the plane
42-45 reference(s)		 Quantum vacuum fluctuations
43-44 reference(s)		 Autostereogram with an hidden ring and ghost bows
44-44 reference(s)
Autostereogram with an hidden ring and ghost bows
45-41 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
46-41 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
47-41 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
48-41 reference(s)
The Universe at the heart of a Calabi-Yau manifold
49-40 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
50-39 reference(s)		 Bidimensional texture animation by means of the Generalized Product
51-39 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
52-38 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
53-38 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
54-38 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-
55-38 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
56-38 reference(s)
Bidimensional geometrical texture animation
57-37 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
58-37 reference(s)		 Tridimensional texture animation by means of the Generalized Product
59-37 reference(s)		 The Möbius strip
60-37 reference(s)
The Klein bottle
61-37 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
62-36 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
63-36 reference(s)		 From Mars to the Sun
64-36 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
65-36 reference(s)		 Tridimensional zoom in on the Mandelbrot set
66-35 reference(s)		 Two intricated random labyrinths -the wide one and the narrow one-
67-34 reference(s)		 Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
68-34 reference(s)
Quark and gluon structure of a nucleon
69-33 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
70-33 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
71-33 reference(s)		 Sixteen interlaced torus
72-32 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
73-31 reference(s)		 Wavelet transform of a bidimensional fractal field
74-31 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
75-30 reference(s)		 Synthesis of bidimensional geometrical textures
76-30 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
77-29 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
78-29 reference(s)		 Quantum vacuum fluctuations
79-28 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
80-27 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
81-27 reference(s)		 Tridimensional display of the inflationary Universe
82-27 reference(s)		 Sixteen interlaced fractal torus
83-27 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
84-27 reference(s)
The Lorenz attractor
85-26 reference(s)		 Pseudo Olympic Rings
86-25 reference(s)		 An Archimedes spiral displaying 5000 numbers
87-25 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
88-25 reference(s)
A fractal hypercube
89-25 reference(s)		 2000 evenly distributed points on a sphere by means of the Fibonacci spiral
90-23 reference(s)		 An Archimedes spiral displaying 10000 numbers
91-23 reference(s)		 An hexagonal tiling of the hyperbolic Poincaré disk -iteration 5-
92-23 reference(s)
Autostereogram of Monument Valley
93-23 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
94-23 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
95-23 reference(s)		 An aperiodic Penrose tiling of the plane
96-22 reference(s)
Autostereogram with an hidden volcano
97-22 reference(s)		 The Solar System with a dark blue virtual planet -heliocentric point of view-
98-22 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
99-22 reference(s)		 A punched paper tape
100-21 reference(s)
The Lorenz attractor
101-21 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-21 reference(s)		 Untitled 0248
103-20 reference(s)		 An interpolation between the Klein bottle and a 'double sphere' defined by means of three sets of bidimensional fields
104-20 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
105-20 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
106-20 reference(s)		 The tower -a Tribute to Vladimir Tatline-
107-20 reference(s)		 Generation of the 63 first Conway's surreal numbers
108-19 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
109-19 reference(s)		 The double reflection -green- of a small regular tetrahedron -center red-
110-19 reference(s)		 Paradoxal structure based on the geometry of the Boy surface
111-18 reference(s)		 Fractal natural form
112-18 reference(s)
Quark and gluon structure of a nucleon
113-18 reference(s)		 Tridimensional fractal structure -the space-time foam?-
114-18 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 7-
115-17 reference(s)		 Tridimensional visualization of an aperiodic Penrose tiling of the Golden Decagon
116-17 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
117-17 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
118-17 reference(s)		 Tridimensional display of two intricated random labyrinths -the wide one and the narrow one-
119-17 reference(s)		 A fractal aperiodic Penrose tiling
120-17 reference(s)
A set of 4x3 stereograms of a fractal hypercube
121-17 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
122-16 reference(s)		 Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
123-16 reference(s)		 The Ulam spiral displaying 2025 numbers
124-16 reference(s)
An Archimedes spiral displaying 1000 numbers
125-16 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)
126-16 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
127-16 reference(s)		 The first four iterations of the construction of the von Koch snowflake
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
701 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
541 reference(s)
3-Stereogrammes_AutoStereogrammes.01
458 reference(s)		 4-An2000.01.Fra
390 reference(s)
5-FaireDeLaRecherche.01.vv
322 reference(s)		 6-Vcatalogue.11
307 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
298 reference(s)		 8-Galerie_NumberTheory.FV
289 reference(s)
9-help.
276 reference(s)		 10-Galerie_DeterministicFractalGeometry.FV
251 reference(s)
11-Galerie_GeneralitiesVisualization.FV
248 reference(s)		 12-Fractal.01
247 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
246 reference(s)		 14-fairedelarecherche.01.vv
242 reference(s)
15-FloatingPointNumbers.01.Fra
230 reference(s)		 16-MathematiquesPhysiqueFractales.02
225 reference(s)
17-GoldenTriangle.01.Fra
224 reference(s)		 18-stereogrammes_autostereogrammes.01
222 reference(s)
19-AProposSite.01.Fra
216 reference(s)		 20-FaireDesMathematiques.01.Fra
215 reference(s)
21-UlamSpiral.01.Fra
210 reference(s)		 22-RealNumbers.01.Fra
210 reference(s)
23-SurfaceProjector.01.Fra
202 reference(s)		 24-Galerie_ParticleSystems.FV
197 reference(s)
25-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
191 reference(s)		 26-Galerie_ArtisticCreation.FV
190 reference(s)
27-ExpV_VirE.Ang
190 reference(s)		 28-Galerie_BestOf.FV
188 reference(s)
29-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
186 reference(s)		 30-Galerie_QuantumMechanics.FV
185 reference(s)
31-Fractal.11
185 reference(s)		 32-mail.01.vv
183 reference(s)
33-SurfaceProjector.01.Ang
183 reference(s)		 34-MorePages.
181 reference(s)
35-Galerie_CelestialMechanics.FV
180 reference(s)		 36-MathematiquesPhysiqueFractales.22
179 reference(s)
37-Galerie_NewPictures.FV
176 reference(s)		 38-ExpV_VirE.11
176 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
173 reference(s)		 40-AnimFractal.01.
172 reference(s)
41-Autostereograms.01.
167 reference(s)		 42-OrdinateursEtCalculs.01.Fra
165 reference(s)
43-EntrelacsIntertwinings.01.Ang
164 reference(s)		 44-NDimensionalDeterministicFractalSets.01.Fra
163 reference(s)
45-Kepler.02.
163 reference(s)		 46-NDimensionalDeterministicFractalSets.01.Ang
161 reference(s)
47-AQuoiServentLesMathematiques.01
161 reference(s)		 48-PerteDeLAssociativite.01
159 reference(s)
49-Galerie_Astrophysics.FV
159 reference(s)		 50-ImagesDuVirtuel.01.Fra.FV
158 reference(s)
51-Galerie_FluidMechanics.FV
158 reference(s)		 52-FloatingPointNumbers.01.Ang
158 reference(s)
53-copyright.01.
157 reference(s)		 54-MonodimensionalCellularAutomata.01.Fra
157 reference(s)
55-EntrelacsIntertwinings.01.Fra
157 reference(s)		 56-GenieLogiciel.01.Fra
156 reference(s)
57-logiciel
154 reference(s)		 58-demo
154 reference(s)
59-Galerie_DeterministicChaos.FV
154 reference(s)		 60-Galerie_ArtAndScience.FV
154 reference(s)
61-DieuScience.01.Fra
154 reference(s)		 62-Informations_GoodNewsAndBadNews.01.Fra
153 reference(s)
63-DuModeleALImage.02.Fra
153 reference(s)		 64-demo14
152 reference(s)
65-demo.14
152 reference(s)		 66-VisitesGaleriesEnfouies.01.Fra
152 reference(s)
67-NombresEtLumiere.01.vv.Fra
152 reference(s)		 68-Fractal.03
152 reference(s)
69-nombresreels
151 reference(s)		 70-genielogiciel
151 reference(s)
71-ImpossibleStructures.01.Fra
151 reference(s)		 72-VirtualChaos.01.Fra
150 reference(s)
73-GoldenTriangle.01.Ang
150 reference(s)		 74-Galerie_TextureSynthesis.FV
150 reference(s)
75-catalogue.11
149 reference(s)		 76-IllusionConnaissance.02
149 reference(s)
77-OrdinateurMathematiquesArt.01.Fra
148 reference(s)		 78-subject.01.
147 reference(s)
79-UlamSpiral.01.Ang
147 reference(s)		 80-LOG_xiMc.11
147 reference(s)
81-ImpossibleStructures.01.Ang
147 reference(s)		 82-VisitesGaleriesEnfouies.01.Ang
146 reference(s)
83-AvantPropos.01.Fra
146 reference(s)		 84-realnumbers
145 reference(s)
85-create.03.
145 reference(s)		 86-Galerie_SignalProcessing.FV
145 reference(s)
87-Fractal.02
145 reference(s)		 88-infinity.01.vv
144 reference(s)
89-an2000
144 reference(s)		 90-Spheres.01
144 reference(s)
91-OrdinateursEtCalculs.01.Ang
143 reference(s)		 92-MonodimensionalCellularAutomata.01.Ang
143 reference(s)
93-RemarquesCerveau.01
142 reference(s)		 94-VirtualChaos.01.Ang
141 reference(s)
95-EnsembleDesGaleries.DIAPO.0001
141 reference(s)		 96-NatureDesMathematiques.01.vv.Fra
140 reference(s)
97-MiseEnSceneDesNombres.01.vv.Fra
140 reference(s)		 98-EnsembleDesGaleriesFractales.DIAPO.0001
140 reference(s)
99-AvantPropos.01.Ang
140 reference(s)		 100-infinity.02.vv
139 reference(s)
101-goldentriangle.01.fra
139 reference(s)		 102-RasoirDOccamEtMathematiques.01.vv.Fra
139 reference(s)
103-MathematiquesPhysiqueFractales.01
139 reference(s)		 104-MathematiquesEtCinematographe.01.vv
139 reference(s)
105-ManyChaos.01.Ang
138 reference(s)		 106-LesApprentisDieux.01
138 reference(s)
107-MathematiquesLangageDuGrandLivreDeLaNature.12
136 reference(s)		 108-ManyChaos.01.Fra
136 reference(s)
109-MathematiquesModeleOutilArtiste.02.Ang
135 reference(s)		 110-MiseEnSceneDesNombres.01.vv.Ang
134 reference(s)
111-MathematiquesEtRepresentations.01.vv.Ang
134 reference(s)		 112-Galerie_Tributes.FV
132 reference(s)
113-ExpV_VirE.21
132 reference(s)		 114-PatrimoineHumanite.02.Fra
131 reference(s)
115-VisualisationRelief.01.vv.Fra
130 reference(s)		 116-QuelquesQuestionsSurLaRecherche.01.Fra
129 reference(s)
117-Galerie_SensitivityToRoundingOffErrors.FV
129 reference(s)		 118-RasoirDOccamEtMathematiques.01.vv.Ang
127 reference(s)
119-An2000.02.Fra
122 reference(s)		 120-aquoiserventlesmathematiques.01
121 reference(s)
121-PresidentRepublique.01.Fra
121 reference(s)		 122-ArtScience.01
120 reference(s)
123-ImagesDuVirtuel.01.Fra
119 reference(s)		 124-MinistreEducationNationale.01.Fra
118 reference(s)
125-galerie_numbertheory.fv
117 reference(s)		 126-PourLaScience.01.Fra
117 reference(s)
127-relativity.01.
116 reference(s)		 128-VisSci_SciVis.02
116 reference(s)

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Copyright © Jean-François COLONNA, 2016-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2023.