Monthly Best Of on 08/28/2016




Tridimensional visualization of the Mandelbrot set with mapping of the arguments

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Contents of this page:


1-The 128 most referenced Pictures:



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-350 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-333 reference(s)
Hypercube
3-303 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
4-280 reference(s)
Autostereogram with an hidden volcano
5-269 reference(s)
Happy new year 2000
6-206 reference(s)
Bidimensional Hilbert Curve -iteration 4-
7-201 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
8-173 reference(s)
Pseudo Olympic Rings
9-165 reference(s)
Autostereogram with an hidden volcano
10-119 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
11-114 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
12-109 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
13-103 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-101 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
15-99 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
16-98 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
17-91 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-85 reference(s)
The Bonan-Jeener's triple Klein bottle
19-81 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-79 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
21-72 reference(s)
Artistic view of the prime numbers
22-70 reference(s)
Tridimensional Hilbert Curve -iteration 3-
23-68 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-68 reference(s)
The random walk of photons escaping the Sun
25-65 reference(s)
Autostereogram with an hidden volcano
26-64 reference(s)
Sixteen interlaced torus
27-60 reference(s)
Autostereogram with an hidden volcano
28-56 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
29-53 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-49 reference(s)
Quantum vacuum fluctuations
31-48 reference(s)
The bidimensional John Conway's life game
32-47 reference(s)
The random walk of photons escaping the Sun
33-46 reference(s)
The generalized Ulam spiral
34-45 reference(s)
Autostereogram with an hidden ring and ghost bows
35-43 reference(s)
The random walk of photons escaping the Sun
36-42 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-
37-42 reference(s)
Quark and gluon structure of a nucleon
38-40 reference(s)
The Möbius strip
39-39 reference(s)
Bidimensional geometrical texture animation
40-38 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
41-38 reference(s)
From Mars to the Sun
42-38 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
43-38 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
44-37 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
45-37 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
46-37 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
47-36 reference(s)
Tridimensional texture animation by means of the Generalized Product
48-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
49-36 reference(s)
Tridimensional zoom in on the Mandelbrot set
50-36 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
51-35 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
52-35 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-35 reference(s)
The 'green' reflection of a red tetrahedron obtained by a 'blue' symmetry of each red vertex about the opposite red face
54-31 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
55-31 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
56-30 reference(s)
The Jeener's triple Klein bottle
57-30 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
58-29 reference(s)
The Universe at the heart of a Calabi-Yau manifold
59-28 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
60-28 reference(s)
True colors autostereogram of a fractal landscape
61-28 reference(s)
3-foil knot
62-28 reference(s)
An Archimedes spiral displaying 5000 numbers
63-27 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
64-26 reference(s)
The 'green' reflection of a red triangle obtained by a 'blue' symmetry of each red vertex about the opposite red side
65-26 reference(s)
A pseudo-periodical Penrose tiling of the plane
66-25 reference(s)
The generalized Ulam spiral displaying 100 numbers
67-25 reference(s)
The Lorenz attractor
68-25 reference(s)
The double reflection -green- of a small regular tetrahedron -center red-
69-24 reference(s)
A set of 4x3 stereograms of a fractal hypercube
70-24 reference(s)
Fractal natural form
71-23 reference(s)
Fractal natural form
72-23 reference(s)
An Archimedes spiral displaying 10000 numbers
73-22 reference(s)
From 'geocentrism' to 'heliocentrism'
74-22 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
75-22 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-22 reference(s)
The Jeener's triple Klein bottle
77-22 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
78-21 reference(s)
Synthesis of bidimensional geometrical textures
79-21 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
80-20 reference(s)
The Generalization of the reflection of a triangle
81-20 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
82-20 reference(s)
Autostereogram of Monument Valley
83-20 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)
84-19 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
85-19 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
86-19 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
87-19 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral -with display of the spiral-
88-18 reference(s)
Sixteen interlaced fractal torus
89-18 reference(s)
A pseudo-periodical Penrose tiling of the plane
90-16 reference(s)
Autostereogram with an hidden volcano
91-16 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
92-16 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
93-16 reference(s)
Tridimensional display of the inflationary Universe
94-16 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
95-16 reference(s)
Generation of the 63 first Conway's surreal numbers
96-15 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
97-15 reference(s)
The generalized Ulam spiral displaying 2025 numbers
98-15 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
99-15 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
100-15 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
101-14 reference(s)
Bidimensional zoom in on the Mandelbrot set
102-14 reference(s)
The first four iterations of the construction of the von Koch snowflake
103-13 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
104-13 reference(s)
The Simpson paradox
105-13 reference(s)
Quark and gluon structure of a nucleon
106-13 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
107-13 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
108-13 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
109-13 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
110-13 reference(s)
The ABC conjecture
111-13 reference(s)
The Klein bottle
112-13 reference(s)
Quantum vacuum fluctuation dynamics
113-12 reference(s)
The 64 first lines of the Pascal's Triangle
114-12 reference(s)
Along the border of the Mandelbrot set
115-12 reference(s)
Generation of the 63x63 first Conway's surreal complex numbers
116-12 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
117-12 reference(s)
Autostereogram with an hidden ring and ghost bows
118-12 reference(s)
A pay slip
119-12 reference(s)
Quark and gluon dynamics of the nucleon
120-12 reference(s)
The extended Borromean Rings
121-12 reference(s)
No Title 0250
122-12 reference(s)
The Lorenz attractor
123-12 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
124-12 reference(s)
A fractal Möbius strip
125-12 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
126-12 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
127-12 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
128-12 reference(s)




2-The 128 most referenced Pages:



1-demo_14
521 reference(s)
2-An2000.01.Fra
457 reference(s)
3-help.
382 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
355 reference(s)
5-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
352 reference(s)
6-mail.01.vv
348 reference(s)
7-Vcatalogue.11
338 reference(s)
8-copyright.01.
296 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
275 reference(s)
10-Stereogrammes_AutoStereogrammes.01
248 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
236 reference(s)
12-Galerie_NumberTheory.FV
232 reference(s)
13-Fractal.01
220 reference(s)
14-AProposSite.01.Fra
214 reference(s)
15-RealNumbers.01.Fra
213 reference(s)
16-FloatingPointNumbers.01.Fra
212 reference(s)
17-FloatingPointNumbers.01.Ang
212 reference(s)
18-Galerie_NewPictures.FV
198 reference(s)
19-AnimFractal.01.
196 reference(s)
20-Galerie_CelestialMechanics.FV
192 reference(s)
21-FaireDeLaRecherche.01.vv
192 reference(s)
22-Galerie_QuantumMechanics.FV
189 reference(s)
23-Galerie_GeneralitiesVisualization.FV
189 reference(s)
24-UlamSpiral.01.Fra
188 reference(s)
25-Galerie_BestOf.FV
186 reference(s)
26-Galerie_ArtisticCreation.FV
185 reference(s)
27-Fractal.11
185 reference(s)
28-NombresEtLumiere.01.vv.Fra
183 reference(s)
29-Galerie_ParticleSystems.FV
181 reference(s)
30-Galerie_DeterministicFractalGeometry.FV
181 reference(s)
31-Galerie_ArtAndScience.FV
179 reference(s)
32-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
179 reference(s)
33-SurfaceProjector.01.Ang
177 reference(s)
34-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
176 reference(s)
35-catalogue.11
173 reference(s)
36-MathematiquesPhysiqueFractales.02
172 reference(s)
37-SurfaceProjector.01.Fra
169 reference(s)
38-NDimensionalDeterministicFractalSets.01.Fra
169 reference(s)
39-AQuoiServentLesMathematiques.01
169 reference(s)
40-Kepler.02.
168 reference(s)
41-Galerie_Astrophysics.FV
168 reference(s)
42-NDimensionalDeterministicFractalSets.01.Ang
166 reference(s)
43-GoldenTriangle.01.Fra
166 reference(s)
44-Galerie_SignalProcessing.FV
166 reference(s)
45-Galerie_DeterministicChaos.FV
164 reference(s)
46-ExpV_VirE.11
164 reference(s)
47-Galerie_FluidMechanics.FV
163 reference(s)
48-EntrelacsIntertwinings.01.Fra
163 reference(s)
49-MorePages.
162 reference(s)
50-MathematiquesPhysiqueFractales.22
159 reference(s)
51-MonodimensionalCellularAutomata.01.Fra
158 reference(s)
52-OrdinateursEtCalculs.01.Fra
156 reference(s)
53-stereogrammes_autostereogrammes.01
155 reference(s)
54-NatureDesMathematiques.01.vv.Fra
154 reference(s)
55-demo14
153 reference(s)
56-OrdinateursEtCalculs.01.Ang
153 reference(s)
57-ImagesDuVirtuel.01.Fra.FV
153 reference(s)
58-EntrelacsIntertwinings.01.Ang
153 reference(s)
59-Autostereograms.01.
153 reference(s)
60-subject.01.
152 reference(s)
61-create.03.
152 reference(s)
62-OrdinateurMathematiquesArt.01.Fra
152 reference(s)
63-genielogiciel
151 reference(s)
64-demo.14
151 reference(s)
65-an2000
151 reference(s)
66-Informations_GoodNewsAndBadNews.01.Fra
151 reference(s)
67-Informations_AboutPicturesAnimationsAndFiles.01.Ang
151 reference(s)
68-GenieLogiciel.01.Fra
151 reference(s)
69-nombresreels
150 reference(s)
70-demo
150 reference(s)
71-RemarquesCerveau.01
150 reference(s)
72-logiciel
149 reference(s)
73-UlamSpiral.01.Ang
149 reference(s)
74-infinity.01.vv
148 reference(s)
75-VisitesGaleriesEnfouies.01.Fra
148 reference(s)
76-VisitesGaleriesEnfouies.01.Ang
148 reference(s)
77-Galerie_SensitivityToRoundingOffErrors.FV
148 reference(s)
78-realnumbers
147 reference(s)
79-Galerie_TextureSynthesis.FV
147 reference(s)
80-DieuScience.01.Fra
147 reference(s)
81-infinity.02.vv
146 reference(s)
82-MonodimensionalCellularAutomata.01.Ang
146 reference(s)
83-MathematiquesModeleOutilArtiste.02.Ang
145 reference(s)
84-LOG_xiMc.11
145 reference(s)
85-GoldenTriangle.01.Ang
145 reference(s)
86-VirtualChaos.01.Fra
144 reference(s)
87-Fractal.03
144 reference(s)
88-Spheres.01
143 reference(s)
89-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
143 reference(s)
90-ImpossibleStructures.01.Fra
142 reference(s)
91-AvantPropos.01.Fra
142 reference(s)
92-VirtualChaos.01.Ang
141 reference(s)
93-RasoirDOccamEtMathematiques.01.vv.Fra
141 reference(s)
94-PatrimoineHumanite.02.Fra
141 reference(s)
95-ImpossibleStructures.01.Ang
141 reference(s)
96-PerteDeLAssociativite.01
140 reference(s)
97-MiseEnSceneDesNombres.01.vv.Ang
140 reference(s)
98-An2000.02.Fra
140 reference(s)
99-aquoiserventlesmathematiques.01
138 reference(s)
100-MiseEnSceneDesNombres.01.vv.Fra
138 reference(s)
101-LesApprentisDieux.01
138 reference(s)
102-Fractal.02
138 reference(s)
103-DuModeleALImage.02.Fra
138 reference(s)
104-ExpV_VirE.Ang
137 reference(s)
105-EnsembleDesGaleries.DIAPO.0001
137 reference(s)
106-MathematiquesEtCinematographe.01.vv
136 reference(s)
107-IllusionConnaissance.02
136 reference(s)
108-EnsembleDesGaleriesFractales.DIAPO.0001
136 reference(s)
109-MathematiquesEtRepresentations.01.vv.Ang
135 reference(s)
110-VisualisationRelief.01.vv.Fra
133 reference(s)
111-Galerie_Tributes.FV
132 reference(s)
112-Galerie_ImagesDidactiques.FV
130 reference(s)
113-RasoirDOccamEtMathematiques.01.vv.Ang
129 reference(s)
114-ManyChaos.01.Fra
128 reference(s)
115-AvantPropos.01.Ang
128 reference(s)
116-ManyChaos.01.Ang
127 reference(s)
117-QuelquesQuestionsSurLaRecherche.01.Fra
126 reference(s)
118-fairedelarecherche.01.vv
125 reference(s)
119-ExpV_VirE.21
116 reference(s)
120-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_12
115 reference(s)
121-VisSci_SciVis.01
115 reference(s)
122-relativity.01.
114 reference(s)
123-VisSci_SciVis.02
114 reference(s)
124-ImagesDuVirtuel.01.Fra
113 reference(s)
125-present.01.
111 reference(s)
126-MinistreEducationNationale.01.Fra
111 reference(s)
127-demo_14.FV
110 reference(s)
128-MathematiquesPhysiqueFractales.01
110 reference(s)

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Copyright (c) Jean-François Colonna, 2016-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2016-2018.