Monthly Best Of on 08/28/2017




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0) with 4 iterations -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 08/28/2017 and last updated on 06/30/2018 14:08:09 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Erosion of a bidimensional random (with small and large scale correlations)medium
1-258 reference(s)
The Sierpinski carpet -iteration 1-
2-238 reference(s)
Hypercube
3-213 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-194 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
5-178 reference(s)
Happy new year 2000
6-155 reference(s)
Autostereogram with an hidden volcano
7-152 reference(s)
Bidimensional Hilbert Curve -iteration 4-
8-147 reference(s)
Autostereogram with an hidden volcano
9-146 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
10-132 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
11-119 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
12-116 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
13-97 reference(s)
The Bonan-Jeener's triple Klein bottle
14-92 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-85 reference(s)
Autostereogram with an hidden ring and ghost bows
16-81 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
17-80 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-74 reference(s)
Artistic view of the prime numbers
19-71 reference(s)
The generalized Ulam spiral
20-64 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
21-62 reference(s)
The random walk of photons escaping the Sun
22-57 reference(s)
Sixteen interlaced fractal torus
23-56 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
24-55 reference(s)
The bidimensional John Conway's life game
25-54 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
26-52 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
27-49 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
28-45 reference(s)
Autostereogram with an hidden volcano
29-44 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
30-44 reference(s)
Fractal natural form
31-43 reference(s)
The random walk of photons escaping the Sun
32-42 reference(s)
Autostereogram with an hidden ring and ghost bows
33-41 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
34-40 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
35-40 reference(s)
Quantum vacuum fluctuations
36-39 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
37-39 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
38-39 reference(s)
A pseudo-periodical Penrose tiling of the plane
39-38 reference(s)
Autostereogram with an hidden volcano
40-38 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
41-38 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
42-38 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
43-38 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
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)
The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
46-37 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
47-37 reference(s)
Bidimensional geometrical texture animation
48-36 reference(s)
The random walk of photons escaping the Sun
49-36 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
50-36 reference(s)
Tridimensional texture animation by means of the Generalized Product
51-36 reference(s)
Bidimensional texture animation by means of the Generalized Product
52-36 reference(s)
From Mars to the Sun
53-36 reference(s)
The Möbius strip
54-36 reference(s)
Tridimensional zoom in on the Mandelbrot set
55-36 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
56-36 reference(s)
The Jeener's triple Klein bottle
57-35 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
58-34 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
59-34 reference(s)
Tridimensional Hilbert Curve -iteration 3-
60-33 reference(s)
Tridimensional fractal structure
61-32 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
62-31 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
63-30 reference(s)
Autostereogram with an hidden volcano
64-30 reference(s)
An Archimedes spiral displaying 10000 numbers
65-30 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
66-30 reference(s)
The Universe at the heart of a Calabi-Yau manifold
67-29 reference(s)
True colors autostereogram of a fractal landscape
68-27 reference(s)
Quark and gluon structure of a nucleon
69-27 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-26 reference(s)
Pseudo Olympic Rings
71-25 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
72-25 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
73-25 reference(s)
A pseudo-periodical Penrose tiling of the plane
74-23 reference(s)
Fractal structure of a nucleon
75-23 reference(s)
An Archimedes spiral displaying 100000 numbers
76-23 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
77-23 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
78-23 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
79-22 reference(s)
Quark and gluon structure of a nucleon
80-22 reference(s)
From 'geocentrism' to 'heliocentrism'
81-22 reference(s)
Bidimensional zoom in on the Mandelbrot set
82-22 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
83-21 reference(s)
A 'triple stack' of two pseudo-periodical Penrose tilings of the plane
84-21 reference(s)
Generation of the 63 first Conway's surreal numbers
85-21 reference(s)
The end of the World
86-21 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
87-21 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a (1/O)^1 conformal transformation in the Octonionic space -tridimensional cross-section-
88-21 reference(s)
Autostereogram of Monument Valley
89-20 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
90-20 reference(s)
From Pluto to the Sun -extrapolation 2-
91-20 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
92-20 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-20 reference(s)
The Penrose city
94-19 reference(s)
The generalized Ulam spiral displaying 100 numbers
95-19 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
96-18 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
97-18 reference(s)
A fractal hypercube
98-18 reference(s)
A tridimensionally distorded pseudo-periodical Penrose tiling of the plane
99-17 reference(s)
The Sierpinski carpet -iteration 1-
100-17 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
101-17 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
102-17 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
103-17 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
104-17 reference(s)
The Jeener's triple Klein bottle
105-17 reference(s)
The 64 first lines of the Pascal's Triangle
106-16 reference(s)
A pseudo-periodical Penrose tiling of the plane
107-16 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
108-16 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
109-16 reference(s)
An Archimedes spiral displaying 5000 numbers
110-16 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
111-16 reference(s)
Tridimensional display of the inflationary Universe
112-16 reference(s)
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
113-16 reference(s)
The first four iterations of the construction of the von Koch snowflake
114-15 reference(s)
A pseudo-periodical Penrose tiling of the plane
115-15 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
116-15 reference(s)
Fractal natural form
117-15 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
118-15 reference(s)
A perfect bidimensional fractal tree and the self-similarity
119-14 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
120-14 reference(s)
No Title 0264
121-14 reference(s)
Mountains and clouds
122-14 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
123-14 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
124-14 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
125-14 reference(s)
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
126-14 reference(s)
A fractal pseudo-periodical Penrose tiling
127-14 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)
128-13 reference(s)




2-The 128 most referenced Pages:



1-demo_14
957 reference(s)
2-An2000.01.Fra
883 reference(s)
3-ComplexiteStructurelleClassements.11
409 reference(s)
4-Galerie_GeneralitiesVisualization.FV
367 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
324 reference(s)
6-Vcatalogue.11
293 reference(s)
7-Galerie_ArtAndScience.FV
290 reference(s)
8-help.
261 reference(s)
9-Galerie_NumberTheory.FV
243 reference(s)
10-RealNumbers.01.Fra
242 reference(s)
11-GenieLogiciel_VisualisationScientifique.01.vv
241 reference(s)
12-Fractal.01
237 reference(s)
13-FloatingPointNumbers.01.Ang
233 reference(s)
14-FaireDeLaRecherche.01.vv
229 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
229 reference(s)
16-Stereogrammes_AutoStereogrammes.01
225 reference(s)
17-MathematiquesPhysiqueFractales.02
218 reference(s)
18-Galerie_ArtisticCreation.FV
218 reference(s)
19-AProposSite.01.Fra
216 reference(s)
20-Galerie_QuantumMechanics.FV
215 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
215 reference(s)
22-FloatingPointNumbers.01.Fra
213 reference(s)
23-mail.01.vv
209 reference(s)
24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
209 reference(s)
25-Galerie_ParticleSystems.FV
205 reference(s)
26-SurfaceProjector.01.Fra
204 reference(s)
27-MorePages.
204 reference(s)
28-MathematiquesPhysiqueFractales.22
204 reference(s)
29-GenieLogiciel.01.Fra
203 reference(s)
30-Galerie_CelestialMechanics.FV
203 reference(s)
31-NDimensionalDeterministicFractalSets.01.Fra
201 reference(s)
32-Galerie_NewPictures.FV
201 reference(s)
33-Galerie_BestOf.FV
200 reference(s)
34-SurfaceProjector.01.Ang
199 reference(s)
35-AnimFractal.01.
199 reference(s)
36-copyright.01.
198 reference(s)
37-AQuoiServentLesMathematiques.01
196 reference(s)
38-NDimensionalDeterministicFractalSets.01.Ang
194 reference(s)
39-LOG_xiMc.11
194 reference(s)
40-Kepler.02.
192 reference(s)
41-GoldenTriangle.01.Fra
189 reference(s)
42-Fractal.03
186 reference(s)
43-ExpV_VirE.11
186 reference(s)
44-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
184 reference(s)
45-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
184 reference(s)
46-catalogue.11
183 reference(s)
47-UlamSpiral.01.Fra
183 reference(s)
48-infinity.01.vv
181 reference(s)
49-Fractal.11
181 reference(s)
50-Galerie_FluidMechanics.FV
180 reference(s)
51-Galerie_DeterministicChaos.FV
180 reference(s)
52-MonodimensionalCellularAutomata.01.Fra
179 reference(s)
53-EntrelacsIntertwinings.01.Fra
178 reference(s)
54-OrdinateursEtCalculs.01.Fra
177 reference(s)
55-subject.01.
176 reference(s)
56-GoldenTriangle.01.Ang
176 reference(s)
57-Galerie_Astrophysics.FV
175 reference(s)
58-ImagesDuVirtuel.01.Fra.FV
174 reference(s)
59-Autostereograms.01.
174 reference(s)
60-MathematiquesModeleOutilArtiste.02.Ang
173 reference(s)
61-FaireDesMathematiques.01.Fra
173 reference(s)
62-DieuScience.01.Fra
173 reference(s)
63-create.03.
172 reference(s)
64-ImpossibleStructures.01.Ang
172 reference(s)
65-OrdinateursEtCalculs.01.Ang
171 reference(s)
66-NombresEtLumiere.01.vv.Fra
171 reference(s)
67-ImpossibleStructures.01.Fra
171 reference(s)
68-Galerie_SensitivityToRoundingOffErrors.FV
171 reference(s)
69-NatureDesMathematiques.01.vv.Fra
168 reference(s)
70-EntrelacsIntertwinings.01.Ang
167 reference(s)
71-VirtualChaos.01.Ang
166 reference(s)
72-PerteDeLAssociativite.01
166 reference(s)
73-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
166 reference(s)
74-OrdinateurMathematiquesArt.01.Fra
165 reference(s)
75-MiseEnSceneDesNombres.01.vv.Ang
165 reference(s)
76-Galerie_TextureSynthesis.FV
165 reference(s)
77-Fractal.02
165 reference(s)
78-ExpV_VirE.Ang
165 reference(s)
79-logiciel
164 reference(s)
80-UlamSpiral.01.Ang
164 reference(s)
81-NombresPremiers_10000.vv
164 reference(s)
82-ManyChaos.01.Ang
164 reference(s)
83-genielogiciel
163 reference(s)
84-MathematiquesLangageDuGrandLivreDeLaNature.12
163 reference(s)
85-DuModeleALImage.02.Fra
163 reference(s)
86-nombresreels
162 reference(s)
87-infinity.02.vv
162 reference(s)
88-demo14
162 reference(s)
89-VisualisationRelief.01.vv.Fra
162 reference(s)
90-VisitesGaleriesEnfouies.01.Ang
162 reference(s)
91-MiseEnSceneDesNombres.01.vv.Fra
162 reference(s)
92-IllusionConnaissance.02
162 reference(s)
93-demo
161 reference(s)
94-PerteDeLaDistributivite.01.DIS2
161 reference(s)
95-Galerie_SignalProcessing.FV
161 reference(s)
96-EnsembleDesGaleries.DIAPO.0001
161 reference(s)
97-AvantPropos.01.Fra
161 reference(s)
98-demo.14
160 reference(s)
99-an2000
160 reference(s)
100-VisitesGaleriesEnfouies.01.Fra
160 reference(s)
101-Spheres.01
160 reference(s)
102-realnumbers
159 reference(s)
103-ManyChaos.01.Fra
159 reference(s)
104-LesApprentisDieux.01
159 reference(s)
105-Galerie_Tributes.FV
159 reference(s)
106-RemarquesCerveau.01
158 reference(s)
107-MathematiquesEtCinematographe.01.vv
157 reference(s)
108-QuelquesQuestionsSurLaRecherche.01.Fra
156 reference(s)
109-MathematiquesEtRepresentations.01.vv.Ang
156 reference(s)
110-PatrimoineHumanite.02.Fra
155 reference(s)
111-MonodimensionalCellularAutomata.01.Ang
155 reference(s)
112-EnsembleDesGaleriesFractales.DIAPO.0001
155 reference(s)
113-present.01.
153 reference(s)
114-Commentaires_Epicycloide.03
152 reference(s)
115-Informations_GoodNewsAndBadNews.01.Fra
151 reference(s)
116-VirtualChaos.01.Fra
150 reference(s)
117-RasoirDOccamEtMathematiques.01.vv.Ang
150 reference(s)
118-RasoirDOccamEtMathematiques.01.vv.Fra
149 reference(s)
119-An2000.02.Fra
149 reference(s)
120-AvantPropos.01.Ang
148 reference(s)
121-ExpV_VirE.21
140 reference(s)
122-Galerie_ImagesDesMathematiques.FV
137 reference(s)
123-Informations_AboutPicturesAnimationsAndFiles.01.Ang
135 reference(s)
124-MathematiquesPhysiqueFractales.01
133 reference(s)
125-VisSci_SciVis.02
131 reference(s)
126-ArtScience.01
127 reference(s)
127-Informations_AboutPicturesAnimationsAndFiles.01.Fra
126 reference(s)
128-VisSci_SciVis.01
125 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.