Monthly Best Of on 09/28/2016




Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-

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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(CMAP28 WWW site: this page was created on 09/28/2016 and last updated on 06/30/2018 14:07:32 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Bidimensional Hilbert Curve -iteration 4-
1-1233 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-646 reference(s)
Hypercube
3-606 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-428 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
5-311 reference(s)
Autostereogram with an hidden volcano
6-310 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
7-278 reference(s)
Happy new year 2000
8-270 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-230 reference(s)
Tridimensional Hilbert Curve -iteration 3-
10-217 reference(s)
Pseudo Olympic Rings
11-186 reference(s)
Autostereogram with an hidden volcano
12-167 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-133 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
14-130 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
15-126 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
16-116 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
17-115 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-107 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-96 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-87 reference(s)
The random walk of photons escaping the Sun
21-75 reference(s)
The Bonan-Jeener's triple Klein bottle
22-75 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-73 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
24-70 reference(s)
Quark and gluon structure of a nucleon
25-68 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
26-67 reference(s)
Quantum vacuum fluctuations
27-66 reference(s)
Autostereogram with an hidden volcano
28-65 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
29-64 reference(s)
Artistic view of the prime numbers
30-64 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-63 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
32-59 reference(s)
An Archimedes spiral displaying 10000 numbers
33-59 reference(s)
Fractal natural form
34-57 reference(s)
Autostereogram with an hidden ring and ghost bows
35-56 reference(s)
The generalized Ulam spiral
36-56 reference(s)
From 'geocentrism' to 'heliocentrism'
37-56 reference(s)
The Universe at the heart of a Calabi-Yau manifold
38-52 reference(s)
The bidimensional John Conway's life game
39-52 reference(s)
The random walk of photons escaping the Sun
40-50 reference(s)
Sixteen interlaced torus
41-48 reference(s)
The Jeener's triple Klein bottle
42-47 reference(s)
A pseudo-periodical Penrose tiling of the plane
43-45 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-
44-45 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
45-44 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
46-43 reference(s)
Fractal natural form
47-43 reference(s)
Tridimensional zoom in on the Mandelbrot set
48-43 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
49-43 reference(s)
From Mars to the Sun
50-42 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
51-41 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
52-41 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-41 reference(s)
The random walk of photons escaping the Sun
54-40 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
55-40 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
56-40 reference(s)
The Möbius strip
57-40 reference(s)
Bidimensional geometrical texture animation
58-39 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
59-39 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
60-39 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
61-38 reference(s)
Tridimensional texture animation by means of the Generalized Product
62-38 reference(s)
Bidimensional texture animation by means of the Generalized Product
63-38 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)
64-36 reference(s)
Autostereogram with an hidden volcano
65-35 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
66-33 reference(s)
The Klein bottle
67-33 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
68-32 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
69-31 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
70-31 reference(s)
Sixteen interlaced fractal torus
71-31 reference(s)
The Solar System with a dark blue virtual planet -heliocentric point of view-
72-30 reference(s)
Tridimenional display of the Goldbach conjecture
73-30 reference(s)
The first four iterations of the construction of the von Koch snowflake
74-29 reference(s)
An Archimedes spiral displaying 5000 numbers
75-29 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
76-29 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
77-26 reference(s)
Synthesis of bidimensional geometrical textures
78-25 reference(s)
The Lorenz attractor
79-25 reference(s)
A set of 4x3 stereograms of a fractal hypercube
80-25 reference(s)
Quantum vacuum fluctuations
81-24 reference(s)
Along the border of the Mandelbrot set
82-24 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
83-24 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
84-24 reference(s)
The double reflection -green- of a small regular tetrahedron -center red-
85-23 reference(s)
The generalized Ulam spiral displaying 100 numbers
86-23 reference(s)
3-foil knot
87-23 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
88-23 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
89-23 reference(s)
Animation of a racing horse -Jolly Jumper- by means of an interpolation process (1974-1975)
90-22 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
91-22 reference(s)
Quark and gluon dynamics of the nucleon
92-22 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
93-22 reference(s)
A fractal hypercube
94-22 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
95-22 reference(s)
The 64 first lines of the Pascal's Triangle
96-21 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
97-21 reference(s)
Quark and gluon structure of a nucleon
98-21 reference(s)
From Pluto to the Sun (non linear scales)
99-21 reference(s)
Jean-François Colonna
100-21 reference(s)
A fractal Möbius strip
101-21 reference(s)
From the infinitely small to the infinitely big
102-21 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
103-21 reference(s)
A pseudo-periodical Penrose tiling of the plane
104-20 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
105-20 reference(s)
Autostereogram with an hidden ring and ghost bows
106-20 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
107-20 reference(s)
Autostereogram of Monument Valley
108-20 reference(s)
True colors autostereogram of a fractal landscape
109-20 reference(s)
A fractal polyhedron
110-20 reference(s)
Autostereogram with an hidden volcano
111-19 reference(s)
The Birth of the Universe
112-19 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
113-19 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
114-19 reference(s)
Generation of the 63 first Conway's surreal numbers
115-18 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
116-18 reference(s)
A pay slip
117-18 reference(s)
Quaternionic butterfly with extended arithmetics -a tribute to Laurent Schwartz-
118-18 reference(s)
From Pluto to the Sun -extrapolation 2-
119-18 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
120-18 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
121-18 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 411678
122-18 reference(s)
A shell (Jeener surface 1)in motion
123-18 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0)
124-17 reference(s)
Artistic view of the Big Bang
125-17 reference(s)
The 64 first lines of the Pascal's Triangle
126-17 reference(s)
The 'green' reflection of a red triangle obtained by a 'blue' symmetry of each red vertex about the opposite red side
127-17 reference(s)
Synthesis of bidimensional geometrical textures
128-17 reference(s)




2-The 128 most referenced Pages:



1-demo_14
595 reference(s)
2-An2000.01.Fra
394 reference(s)
3-Stereogrammes_AutoStereogrammes.01
306 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
299 reference(s)
5-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
288 reference(s)
6-help.
277 reference(s)
7-Vcatalogue.11
274 reference(s)
8-FloatingPointNumbers.01.Fra
258 reference(s)
9-AVirtualSpaceTimeTravelMachine.Fra
256 reference(s)
10-Fractal.01
252 reference(s)
11-Galerie_NumberTheory.FV
248 reference(s)
12-GenieLogiciel_VisualisationScientifique.01.vv
242 reference(s)
13-RealNumbers.01.Fra
239 reference(s)
14-mail.01.vv
226 reference(s)
15-AProposSite.01.Fra
224 reference(s)
16-FaireDeLaRecherche.01.vv
223 reference(s)
17-copyright.01.
217 reference(s)
18-Galerie_ParticleSystems.FV
213 reference(s)
19-MathematiquesPhysiqueFractales.02
208 reference(s)
20-Galerie_QuantumMechanics.FV
207 reference(s)
21-Galerie_CelestialMechanics.FV
206 reference(s)
22-Galerie_BestOf.FV
206 reference(s)
23-AnimFractal.01.
205 reference(s)
24-UlamSpiral.01.Fra
199 reference(s)
25-SurfaceProjector.01.Fra
199 reference(s)
26-stereogrammes_autostereogrammes.01
197 reference(s)
27-Galerie_NewPictures.FV
194 reference(s)
28-Galerie_ArtAndScience.FV
194 reference(s)
29-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
192 reference(s)
30-Fractal.11
192 reference(s)
31-Galerie_ArtisticCreation.FV
190 reference(s)
32-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
190 reference(s)
33-MorePages.
189 reference(s)
34-NombresEtLumiere.01.vv.Fra
188 reference(s)
35-GoldenTriangle.01.Fra
188 reference(s)
36-MathematiquesPhysiqueFractales.22
187 reference(s)
37-Kepler.02.
187 reference(s)
38-SurfaceProjector.01.Ang
186 reference(s)
39-ExpV_VirE.11
186 reference(s)
40-NDimensionalDeterministicFractalSets.01.Fra
185 reference(s)
41-Galerie_GeneralitiesVisualization.FV
183 reference(s)
42-Galerie_DeterministicFractalGeometry.FV
183 reference(s)
43-EntrelacsIntertwinings.01.Ang
182 reference(s)
44-catalogue.11
180 reference(s)
45-NDimensionalDeterministicFractalSets.01.Ang
179 reference(s)
46-LOG_xiMc.11
174 reference(s)
47-Galerie_DeterministicChaos.FV
174 reference(s)
48-logiciel
173 reference(s)
49-OrdinateursEtCalculs.01.Fra
173 reference(s)
50-GenieLogiciel.01.Fra
173 reference(s)
51-EntrelacsIntertwinings.01.Fra
172 reference(s)
52-AQuoiServentLesMathematiques.01
172 reference(s)
53-an2000
171 reference(s)
54-PerteDeLAssociativite.01
171 reference(s)
55-FloatingPointNumbers.01.Ang
171 reference(s)
56-Galerie_Astrophysics.FV
170 reference(s)
57-demo
169 reference(s)
58-Galerie_FluidMechanics.FV
169 reference(s)
59-nombresreels
168 reference(s)
60-DieuScience.01.Fra
168 reference(s)
61-genielogiciel
167 reference(s)
62-demo.14
167 reference(s)
63-NatureDesMathematiques.01.vv.Fra
167 reference(s)
64-Autostereograms.01.
167 reference(s)
65-subject.01.
166 reference(s)
66-demo14
166 reference(s)
67-Galerie_TextureSynthesis.FV
166 reference(s)
68-OrdinateurMathematiquesArt.01.Fra
165 reference(s)
69-MonodimensionalCellularAutomata.01.Ang
165 reference(s)
70-UlamSpiral.01.Ang
164 reference(s)
71-MonodimensionalCellularAutomata.01.Fra
164 reference(s)
72-Informations_GoodNewsAndBadNews.01.Fra
164 reference(s)
73-DuModeleALImage.02.Fra
164 reference(s)
74-infinity.01.vv
163 reference(s)
75-OrdinateursEtCalculs.01.Ang
162 reference(s)
76-EnsembleDesGaleriesFractales.DIAPO.0001
161 reference(s)
77-realnumbers
160 reference(s)
78-infinity.02.vv
160 reference(s)
79-VirtualChaos.01.Ang
160 reference(s)
80-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
160 reference(s)
81-ImpossibleStructures.01.Ang
160 reference(s)
82-ImagesDuVirtuel.01.Fra.FV
160 reference(s)
83-ExpV_VirE.Ang
160 reference(s)
84-RasoirDOccamEtMathematiques.01.vv.Fra
159 reference(s)
85-MiseEnSceneDesNombres.01.vv.Ang
159 reference(s)
86-VirtualChaos.01.Fra
157 reference(s)
87-Spheres.01
157 reference(s)
88-Galerie_SignalProcessing.FV
157 reference(s)
89-MiseEnSceneDesNombres.01.vv.Fra
156 reference(s)
90-MathematiquesModeleOutilArtiste.02.Ang
156 reference(s)
91-VisitesGaleriesEnfouies.01.Fra
155 reference(s)
92-RemarquesCerveau.01
155 reference(s)
93-ImpossibleStructures.01.Fra
155 reference(s)
94-GoldenTriangle.01.Ang
155 reference(s)
95-Galerie_Tributes.FV
155 reference(s)
96-Fractal.03
155 reference(s)
97-IllusionConnaissance.02
154 reference(s)
98-VisitesGaleriesEnfouies.01.Ang
153 reference(s)
99-LesApprentisDieux.01
153 reference(s)
100-Galerie_ImagesDidactiques.FV
153 reference(s)
101-Fractal.02
153 reference(s)
102-EnsembleDesGaleries.DIAPO.0001
153 reference(s)
103-AvantPropos.01.Fra
153 reference(s)
104-create.03.
152 reference(s)
105-PatrimoineHumanite.02.Fra
152 reference(s)
106-Galerie_SensitivityToRoundingOffErrors.FV
152 reference(s)
107-ManyChaos.01.Fra
150 reference(s)
108-AvantPropos.01.Ang
150 reference(s)
109-VisualisationRelief.01.vv.Fra
149 reference(s)
110-RasoirDOccamEtMathematiques.01.vv.Ang
149 reference(s)
111-ManyChaos.01.Ang
148 reference(s)
112-MathematiquesEtCinematographe.01.vv
146 reference(s)
113-QuelquesQuestionsSurLaRecherche.01.Fra
145 reference(s)
114-An2000.02.Fra
145 reference(s)
115-VisSci_SciVis.02
143 reference(s)
116-MathematiquesEtRepresentations.01.vv.Ang
143 reference(s)
117-fairedelarecherche.01.vv
138 reference(s)
118-MathematiquesPhysiqueFractales.01
137 reference(s)
119-aquoiserventlesmathematiques.01
136 reference(s)
120-MinistreEducationNationale.01.Fra
135 reference(s)
121-VisSci_SciVis.01
134 reference(s)
122-Informations_AboutPicturesAnimationsAndFiles.01.Ang
131 reference(s)
123-present.01.
129 reference(s)
124-relativity.01.
127 reference(s)
125-ExpV_VirE.21
127 reference(s)
126-InformatiqueProfessionnelle.01.Fra
125 reference(s)
127-Commentaires_DoubleJeenerBottle.01
125 reference(s)
128-Commentaires_RacinesTroisiemesUniteComplexes.01
124 reference(s)

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




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