Monthly Best Of on 02/28/2017




A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe?]
[Please, visit A Virtual Space-Time Travel Machine, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 02/28/2017 and last updated on 06/30/2018 14:07:36 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-875 reference(s)
Bidimensional Hilbert Curve -iteration 4-
2-477 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-354 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-341 reference(s)
Happy new year 2000
5-284 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
6-227 reference(s)
Autostereogram with an hidden volcano
7-215 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
8-214 reference(s)
Autostereogram with an hidden volcano
9-200 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
10-171 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
11-138 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-136 reference(s)
The Bonan-Jeener's triple Klein bottle
13-136 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
14-135 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
15-132 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-129 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
17-117 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-115 reference(s)
The random walk of photons escaping the Sun
19-108 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-105 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-102 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
22-98 reference(s)
A pseudo-periodical Penrose tiling of the plane
23-97 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
24-90 reference(s)
Autostereogram with an hidden ring and ghost bows
25-82 reference(s)
The generalized Ulam spiral
26-82 reference(s)
Artistic view of the prime numbers
27-80 reference(s)
Autostereogram with an hidden volcano
28-76 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
29-74 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-74 reference(s)
Quantum vacuum fluctuations
31-73 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-70 reference(s)
The Jeener's triple Klein bottle
33-64 reference(s)
The bidimensional John Conway's life game
34-62 reference(s)
Autostereogram with an hidden volcano
35-59 reference(s)
Sixteen interlaced fractal torus
36-55 reference(s)
A perfect bidimensional fractal tree and the self-similarity
37-53 reference(s)
Autostereogram with an hidden ring and ghost bows
38-53 reference(s)
Sixteen interlaced torus
39-52 reference(s)
From 'geocentrism' to 'heliocentrism'
40-51 reference(s)
The first four iterations of the construction of the von Koch snowflake
41-50 reference(s)
The random walk of photons escaping the Sun
42-49 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
43-49 reference(s)
Tridimensional display of the inflationary Universe
44-48 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
45-46 reference(s)
An Archimedes spiral displaying 10000 numbers
46-44 reference(s)
The Möbius strip
47-44 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
48-44 reference(s)
Pseudo Olympic Rings
49-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
50-41 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
51-41 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-
52-41 reference(s)
From Mars to the Sun
53-41 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
54-40 reference(s)
The Universe at the heart of a Calabi-Yau manifold
55-40 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
56-40 reference(s)
Bidimensional geometrical texture animation
57-39 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
58-39 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
59-39 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
60-38 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)
Tridimensional zoom in on the Mandelbrot set
64-38 reference(s)
The random walk of photons escaping the Sun
65-37 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
66-37 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
67-37 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
68-37 reference(s)
Quark and gluon structure of a nucleon
69-36 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
70-36 reference(s)
Fractal natural form
71-35 reference(s)
True colors autostereogram of a fractal landscape
72-35 reference(s)
Fractal natural form
73-34 reference(s)
A pseudo-periodical Penrose tiling of the plane
74-33 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
75-33 reference(s)
Autostereogram of Monument Valley
76-32 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
77-31 reference(s)
The Klein bottle
78-31 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
79-30 reference(s)
Autostereogram with an hidden volcano
80-29 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
81-28 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
82-27 reference(s)
Tridimensional Hilbert Curve -iteration 3-
83-27 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
84-24 reference(s)
An Archimedes spiral displaying 50000 numbers
85-24 reference(s)
Quark and gluon structure of a nucleon
86-24 reference(s)
A fractal vegetal structure
87-23 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
88-23 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
89-23 reference(s)
Jean-François Colonna
90-23 reference(s)
Two helices on the Bonan-Jeener's triple Klein bottle
91-23 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
92-22 reference(s)
Tridimenional display of the Goldbach conjecture
93-22 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
94-21 reference(s)
The Klein bottle
95-21 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
96-20 reference(s)
Quark and gluon dynamics of the nucleon
97-20 reference(s)
Monument Valley à la David Hockney
98-20 reference(s)
From Pluto to the Sun (non linear scales)
99-20 reference(s)
The tower -a tribute to Vladimir Tatline-
100-20 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)
101-19 reference(s)
The Lorenz attractor
102-19 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
103-19 reference(s)
The 64 first lines of the Pascal's Triangle
104-18 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
105-18 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
106-18 reference(s)
A quaternionic Julia set -tridimensional cross-section-
107-18 reference(s)
The Birth of the Universe
108-18 reference(s)
A quoi servent les Mathématiques?
109-18 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
110-17 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
111-17 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
112-17 reference(s)
Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
113-17 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
114-17 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
115-17 reference(s)
Tridimensional accumulation of 512 strongly correlated tridimensional brownian motions -50000 time steps-
116-17 reference(s)
The first four iterations of the construction of the von Koch snowflake
117-16 reference(s)
A pseudo-periodical Penrose tiling of the plane
118-16 reference(s)
The Boy surface
119-16 reference(s)
The Boy surface
120-16 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
121-16 reference(s)
An Archimedes spiral displaying 5000 numbers
122-16 reference(s)
The Lorenz attractor
123-16 reference(s)
A fractal pseudo-periodical Penrose tiling
124-16 reference(s)
Quantum vacuum fluctuations
125-15 reference(s)
Artistic view of the Big Bang
126-15 reference(s)
A pay slip
127-15 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
128-15 reference(s)




2-The 128 most referenced Pages:



1-demo_14
820 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
541 reference(s)
3-An2000.01.Fra
433 reference(s)
4-ComplexiteStructurelleClassements.11
317 reference(s)
5-Stereogrammes_AutoStereogrammes.01
316 reference(s)
6-Vcatalogue.11
314 reference(s)
7-Galerie_GeneralitiesVisualization.FV
306 reference(s)
8-help.
300 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
275 reference(s)
10-FaireDeLaRecherche.01.vv
264 reference(s)
11-Fractal.01
255 reference(s)
12-AVirtualSpaceTimeTravelMachine.Fra
255 reference(s)
13-Galerie_NumberTheory.FV
249 reference(s)
14-RealNumbers.01.Fra
239 reference(s)
15-Galerie_ParticleSystems.FV
228 reference(s)
16-Galerie_DeterministicFractalGeometry.FV
228 reference(s)
17-AProposSite.01.Fra
225 reference(s)
18-FloatingPointNumbers.01.Fra
219 reference(s)
19-GoldenTriangle.01.Fra
215 reference(s)
20-mail.01.vv
210 reference(s)
21-Galerie_NewPictures.FV
209 reference(s)
22-SurfaceProjector.01.Fra
207 reference(s)
23-MathematiquesPhysiqueFractales.02
207 reference(s)
24-ExpV_VirE.11
207 reference(s)
25-Galerie_BestOf.FV
202 reference(s)
26-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
201 reference(s)
27-AnimFractal.01.
196 reference(s)
28-SurfaceProjector.01.Ang
195 reference(s)
29-NombresEtLumiere.01.vv.Fra
195 reference(s)
30-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
195 reference(s)
31-UlamSpiral.01.Fra
194 reference(s)
32-Galerie_QuantumMechanics.FV
193 reference(s)
33-Galerie_CelestialMechanics.FV
191 reference(s)
34-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
190 reference(s)
35-copyright.01.
189 reference(s)
36-Fractal.11
186 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
184 reference(s)
38-Galerie_ArtisticCreation.FV
183 reference(s)
39-PerteDeLAssociativite.01
182 reference(s)
40-ImpossibleStructures.01.Ang
182 reference(s)
41-Galerie_ArtAndScience.FV
181 reference(s)
42-Galerie_FluidMechanics.FV
179 reference(s)
43-OrdinateurMathematiquesArt.01.Fra
178 reference(s)
44-FloatingPointNumbers.01.Ang
177 reference(s)
45-GenieLogiciel.01.Fra
176 reference(s)
46-NDimensionalDeterministicFractalSets.01.Fra
175 reference(s)
47-EntrelacsIntertwinings.01.Fra
175 reference(s)
48-fairedelarecherche.01.vv
174 reference(s)
49-MathematiquesPhysiqueFractales.22
174 reference(s)
50-OrdinateursEtCalculs.01.Fra
173 reference(s)
51-DieuScience.01.Fra
173 reference(s)
52-VirtualChaos.01.Ang
172 reference(s)
53-catalogue.11
171 reference(s)
54-Kepler.02.
171 reference(s)
55-Galerie_Astrophysics.FV
171 reference(s)
56-AQuoiServentLesMathematiques.01
170 reference(s)
57-subject.01.
168 reference(s)
58-infinity.01.vv
167 reference(s)
59-NatureDesMathematiques.01.vv.Fra
167 reference(s)
60-LOG_xiMc.11
167 reference(s)
61-EntrelacsIntertwinings.01.Ang
167 reference(s)
62-MorePages.
166 reference(s)
63-MonodimensionalCellularAutomata.01.Fra
166 reference(s)
64-MonodimensionalCellularAutomata.01.Ang
166 reference(s)
65-ImpossibleStructures.01.Fra
165 reference(s)
66-realnumbers
164 reference(s)
67-Galerie_SignalProcessing.FV
164 reference(s)
68-Fractal.02
164 reference(s)
69-FaireDesMathematiques.01.Fra
164 reference(s)
70-ExpV_VirE.Ang
164 reference(s)
71-logiciel
163 reference(s)
72-UlamSpiral.01.Ang
163 reference(s)
73-Spheres.01
163 reference(s)
74-Fractal.03
163 reference(s)
75-VisitesGaleriesEnfouies.01.Fra
162 reference(s)
76-RemarquesCerveau.01
162 reference(s)
77-Galerie_DeterministicChaos.FV
162 reference(s)
78-infinity.02.vv
161 reference(s)
79-genielogiciel
161 reference(s)
80-demo.14
161 reference(s)
81-MiseEnSceneDesNombres.01.vv.Fra
161 reference(s)
82-Informations_GoodNewsAndBadNews.01.Fra
161 reference(s)
83-demo
160 reference(s)
84-Autostereograms.01.
160 reference(s)
85-nombresreels
159 reference(s)
86-an2000
159 reference(s)
87-MathematiquesModeleOutilArtiste.02.Ang
159 reference(s)
88-IllusionConnaissance.02
159 reference(s)
89-create.03.
158 reference(s)
90-VisitesGaleriesEnfouies.01.Ang
158 reference(s)
91-MiseEnSceneDesNombres.01.vv.Ang
158 reference(s)
92-EnsembleDesGaleriesFractales.DIAPO.0001
158 reference(s)
93-VirtualChaos.01.Fra
157 reference(s)
94-OrdinateursEtCalculs.01.Ang
157 reference(s)
95-Galerie_TextureSynthesis.FV
157 reference(s)
96-DuModeleALImage.02.Fra
157 reference(s)
97-PatrimoineHumanite.02.Fra
156 reference(s)
98-LesApprentisDieux.01
156 reference(s)
99-ImagesDuVirtuel.01.Fra.FV
156 reference(s)
100-AvantPropos.01.Ang
156 reference(s)
101-MathematiquesLangageDuGrandLivreDeLaNature.12
154 reference(s)
102-MathematiquesEtRepresentations.01.vv.Ang
154 reference(s)
103-GoldenTriangle.01.Ang
154 reference(s)
104-EnsembleDesGaleries.DIAPO.0001
154 reference(s)
105-AvantPropos.01.Fra
154 reference(s)
106-demo14
153 reference(s)
107-RasoirDOccamEtMathematiques.01.vv.Fra
153 reference(s)
108-Galerie_SensitivityToRoundingOffErrors.FV
153 reference(s)
109-ManyChaos.01.Ang
152 reference(s)
110-Galerie_Tributes.FV
151 reference(s)
111-MathematiquesEtCinematographe.01.vv
149 reference(s)
112-QuelquesQuestionsSurLaRecherche.01.Fra
148 reference(s)
113-ManyChaos.01.Fra
148 reference(s)
114-Commentaires_Epicycloide.03
148 reference(s)
115-VisualisationRelief.01.vv.Fra
146 reference(s)
116-RasoirDOccamEtMathematiques.01.vv.Ang
145 reference(s)
117-xtc_____HexagonesPremiers.01.vv.c.
139 reference(s)
118-stereogrammes_autostereogrammes.01
139 reference(s)
119-VisSci_SciVis.02
132 reference(s)
120-ArtScience.01
127 reference(s)
121-MathematiquesPhysiqueFractales.01
126 reference(s)
122-Informations_AboutPicturesAnimationsAndFiles.01.Ang
126 reference(s)
123-PresidentRepublique.01.Fra
125 reference(s)
124-InformatiqueProfessionnelle.01.Fra
125 reference(s)
125-An2000.02.Fra
125 reference(s)
126-relativity.01.
124 reference(s)
127-VisSci_SciVis.01
124 reference(s)
128-Commentaires_DoubleJeenerBottle.01
124 reference(s)

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




Copyright (c) Jean-François Colonna, 2017-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2018.