Monthly Best Of on 04/28/2018




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
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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 04/28/2018 and last updated on 11/14/2023 17:49:27 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Autostereogram with an hidden volcano
1-314 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
2-270 reference(s)		 Happy new year 2000
3-247 reference(s)		 Hypercube
4-232 reference(s)
The random walk of photons escaping the Sun
5-221 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
6-210 reference(s)		 The random walk of photons escaping the Sun
7-189 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
8-189 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
9-181 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-178 reference(s)		 Autostereogram with an hidden volcano
11-165 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
12-162 reference(s)
A fractal vegetal structure
13-155 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-145 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
15-130 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
16-125 reference(s)
The generalized Ulam spiral
17-120 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-111 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
19-109 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
20-102 reference(s)
The Sierpinski carpet -iteration 5-
21-98 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
22-90 reference(s)		 Portrait (Lena)-with a 'OY' symmetry-
23-88 reference(s)		 The Bonan-Jeener-Klein triple bottle
24-88 reference(s)
The bidimensional John Conway's life game
25-87 reference(s)		 Pseudo Olympic Rings
26-81 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
27-79 reference(s)		 Artistic view of the prime numbers
28-79 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
29-67 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
30-66 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
31-64 reference(s)		 Monument Valley à la David Hockney
32-61 reference(s)
Tridimensional Hilbert Curve -iteration 3-
33-59 reference(s)		 Autostereogram with an hidden volcano
34-58 reference(s)		 Sixteen interlaced fractal torus
35-58 reference(s)		 Autostereogram with an hidden volcano
36-56 reference(s)
The Jeener-Klein triple bottle
37-56 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-55 reference(s)		 Quantum vacuum fluctuations
39-54 reference(s)		 An aperiodic Penrose tiling of the plane
40-53 reference(s)
Autostereogram with an hidden ring and ghost bows
41-53 reference(s)		 A fractal Möbius strip
42-53 reference(s)		 An aperiodic Penrose tiling of the plane
43-52 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
44-52 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
45-51 reference(s)		 The random walk of photons escaping the Sun
46-50 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
47-49 reference(s)		 A fractal aperiodic Penrose tiling
48-48 reference(s)
The first four iterations of the construction of the von Koch snowflake
49-47 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
50-47 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
51-47 reference(s)		 Bidimensional geometrical texture animation
52-43 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
53-43 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
54-43 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
55-43 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
56-42 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
57-42 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
58-42 reference(s)		 True colors autostereogram of a fractal landscape
59-42 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-
60-42 reference(s)
From Mars to the Sun
61-42 reference(s)		 Tridimensional zoom in on the Mandelbrot set
62-42 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
63-42 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
64-41 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
65-41 reference(s)		 Tridimensional texture animation by means of the Generalized Product
66-41 reference(s)		 Bidimensional texture animation by means of the Generalized Product
67-41 reference(s)		 The Möbius strip
68-41 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
69-41 reference(s)		 A fractal Klein bottle
70-40 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
71-39 reference(s)		 The Menger sponge -iteration 5-
72-39 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
73-38 reference(s)		 Fractal natural form
74-37 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
75-36 reference(s)		 From 'geocentrism' to 'heliocentrism'
76-35 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
77-35 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
78-34 reference(s)		 An aperiodic Penrose tiling of the plane
79-33 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
80-33 reference(s)
Portrait (Lena)-7x7 square-
81-31 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
82-31 reference(s)		 A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
83-29 reference(s)		 The Lorenz attractor
84-29 reference(s)
The Sierpinski carpet -iteration 1 to 5-
85-28 reference(s)		 Quark and gluon structure of a nucleon
86-28 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
87-28 reference(s)		 An extended foggy 'MandelBox' -tridimensional cross-section-
88-28 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
89-28 reference(s)		 Where is the Multiverse?
90-27 reference(s)		 The Sierpinski carpet -iteration 1-
91-27 reference(s)		 Autostereogram with an hidden ring and ghost bows
92-26 reference(s)
Bidimensional zoom in on the Mandelbrot set
93-26 reference(s)		 The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
94-26 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
95-26 reference(s)		 Autostereogram of Monument Valley
96-25 reference(s)
Quark and gluon structure of a nucleon
97-25 reference(s)		 The Jeener-Klein triple bottle
98-25 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
99-24 reference(s)		 Artistic view of the Big Bang
100-24 reference(s)
A tridimensionally distorded aperiodic Penrose tiling of the plane
101-24 reference(s)		 A half-random extended Menger sponge -iteration 5-
102-24 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
103-24 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
104-24 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
105-24 reference(s)		 Botticelli anomaly on the Moon
106-23 reference(s)		 The Simpson paradox
107-23 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
108-23 reference(s)
A quaternionic Julia set -tridimensional cross-section-
109-23 reference(s)		 An aperiodic non linear Penrose tiling of the plane
110-22 reference(s)		 Fractal natural form
111-22 reference(s)		 An Archimedes spiral displaying 10000 numbers
112-22 reference(s)
A full-random extended Menger sponge -iteration 5-
113-22 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
114-22 reference(s)		 Texture animation by means of the generalized Fourier filtering process
115-22 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
116-22 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
117-22 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
118-21 reference(s)		 An aperiodic Penrose tiling of the plane
119-21 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
120-21 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
121-21 reference(s)		 The Boy surface
122-21 reference(s)		 The pseudo-sphere
123-21 reference(s)		 The bidimensional field defining the 'X' coordinate of a 'fractal plane' with overhangings
124-21 reference(s)
A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
125-21 reference(s)		 The Birth of the Universe
126-21 reference(s)		 Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
127-21 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
128-21 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
1480 reference(s)		 2-Vcatalogue.11
1320 reference(s)
3-demo_14
1305 reference(s)		 4-ImagesDuVirtuel.01.Fra
570 reference(s)
5-MathematiquesPhysiqueFractales.22
569 reference(s)		 6-Galerie_NumberTheory.FV
468 reference(s)
7-ComplexiteStructurelleClassements.11
411 reference(s)		 8-Fractal.11
408 reference(s)
9-An2000.01.Ang
384 reference(s)		 10-AnimFractal.01.
328 reference(s)
11-DieuScience.01.Fra
327 reference(s)		 12-MathematiquesModeleOutilArtiste.02.Ang
320 reference(s)
13-help.
315 reference(s)		 14-AVirtualSpaceTimeTravelMachine.Ang
306 reference(s)
15-Stereogrammes_AutoStereogrammes.01
301 reference(s)		 16-MorePages.
290 reference(s)
17-subject.01.
288 reference(s)		 18-Galerie_DeterministicFractalGeometry.FV
288 reference(s)
19-RealNumbers.01.Fra
283 reference(s)		 20-Autostereograms.01.
273 reference(s)
21-Fractal.01
272 reference(s)		 22-Galerie_DeterministicChaos.FV
265 reference(s)
23-FaireDeLaRecherche.01.vv
258 reference(s)		 24-GoldenTriangle.01.Fra
251 reference(s)
25-DuModeleALImage.02.Fra
250 reference(s)		 26-Galerie_ArtisticCreation.FV
249 reference(s)
27-NDimensionalDeterministicFractalSets.01.Ang
247 reference(s)		 28-Galerie_GeneralitiesVisualization.FV
247 reference(s)
29-AVirtualSpaceTimeTravelMachine.Fra
247 reference(s)		 30-FloatingPointNumbers.01.Fra
245 reference(s)
31-create.03.
242 reference(s)		 32-OrdinateurMathematiquesArt.01.Fra
242 reference(s)
33-MathematiquesPhysiqueFractales.02
242 reference(s)		 34-Kepler.02.
239 reference(s)
35-FaireDesMathematiques.01.Fra
237 reference(s)		 36-Galerie_QuantumMechanics.FV
236 reference(s)
37-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
236 reference(s)		 38-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
235 reference(s)
39-mail.01.vv
234 reference(s)		 40-Galerie_SensitivityToRoundingOffErrors.FV
233 reference(s)
41-Galerie_NewPictures.FV
230 reference(s)		 42-ArtScience.01
226 reference(s)
43-UlamSpiral.01.Fra
225 reference(s)		 44-Galerie_Astrophysics.FV
224 reference(s)
45-SurfaceProjector.01.Fra
221 reference(s)		 46-GenieLogiciel.01.Fra
220 reference(s)
47-FloatingPointNumbers.01.Ang
219 reference(s)		 48-NombresEtLumiere.01.vv.Fra
218 reference(s)
49-Spheres.01
216 reference(s)		 50-AProposSite.01.Fra
216 reference(s)
51-Galerie_ArtAndScience.FV
215 reference(s)		 52-LOG_xiMc.11
212 reference(s)
53-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
212 reference(s)		 54-NDimensionalDeterministicFractalSets.01.Fra
211 reference(s)
55-MonodimensionalCellularAutomata.01.Fra
210 reference(s)		 56-NatureDesMathematiques.01.vv.Fra
209 reference(s)
57-MonodimensionalCellularAutomata.01.Ang
206 reference(s)		 58-MathematiquesPhysiqueFractales.12
205 reference(s)
59-catalogue.11
201 reference(s)		 60-Galerie_FluidMechanics.FV
200 reference(s)
61-Galerie_SignalProcessing.FV
198 reference(s)		 62-Fractal.03
197 reference(s)
63-copyright.01.
195 reference(s)		 64-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
195 reference(s)
65-LesApprentisDieux.01
193 reference(s)		 66-EntrelacsIntertwinings.01.Ang
193 reference(s)
67-VisualisationRelief.01.vv.Fra
191 reference(s)		 68-present.01.
189 reference(s)
69-ManyChaos.01.Fra
189 reference(s)		 70-Galerie_ParticleSystems.FV
189 reference(s)
71-OrdinateursEtCalculs.01.Fra
187 reference(s)		 72-ManyChaos.01.Ang
187 reference(s)
73-UlamSpiral.01.Ang
186 reference(s)		 74-SurfaceProjector.01.Ang
186 reference(s)
75-Galerie_BestOf.FV
186 reference(s)		 76-Fractal.21
186 reference(s)
77-Galerie_CelestialMechanics.FV
184 reference(s)		 78-AQuoiServentLesMathematiques.01
184 reference(s)
79-ExpV_VirE.11
183 reference(s)		 80-VisitesGaleriesEnfouies.01.Fra
181 reference(s)
81-infinity.01.vv
180 reference(s)		 82-IllusionConnaissance.02
180 reference(s)
83-nombresreels
179 reference(s)		 84-an2000
179 reference(s)
85-VirtualChaos.01.Fra
179 reference(s)		 86-realnumbers
178 reference(s)
87-logiciel
178 reference(s)		 88-ImagesDuVirtuel.01.Fra.FV
178 reference(s)
89-genielogiciel
177 reference(s)		 90-demo14
177 reference(s)
91-RasoirDOccamEtMathematiques.01.vv.Fra
177 reference(s)		 92-PerteDeLAssociativite.01
177 reference(s)
93-OrdinateursEtCalculs.01.Ang
177 reference(s)		 94-GoldenTriangle.01.Ang
177 reference(s)
95-demo.14
176 reference(s)		 96-demo
176 reference(s)
97-Galerie_SalonDAutomne.FV
176 reference(s)		 98-ExpV_VirE.Ang
175 reference(s)
99-EnsembleDesGaleriesFractales.DIAPO.0001
175 reference(s)		 100-QuelquesQuestionsSurLaRecherche.01.Fra
174 reference(s)
101-PatrimoineHumanite.02.Fra
174 reference(s)		 102-MiseEnSceneDesNombres.01.vv.Fra
174 reference(s)
103-EntrelacsIntertwinings.01.Fra
173 reference(s)		 104-MathematiquesLangageDuGrandLivreDeLaNature.12
172 reference(s)
105-ImpossibleStructures.01.Fra
172 reference(s)		 106-ImpossibleStructures.01.Ang
172 reference(s)
107-Galerie_Tributes.FV
172 reference(s)		 108-VirtualChaos.01.Ang
171 reference(s)
109-RemarquesCerveau.01
171 reference(s)		 110-GenieLogiciel_VisualisationScientifique.01.vv
170 reference(s)
111-Galerie_TextureSynthesis.FV
170 reference(s)		 112-infinity.02.vv
168 reference(s)
113-RasoirDOccamEtMathematiques.01.vv.Ang
167 reference(s)		 114-Fractal.02
167 reference(s)
115-EnsembleDesGaleries.DIAPO.0001
167 reference(s)		 116-DecimalesPi_1_100.vv
166 reference(s)
117-AvantPropos.01.Ang
166 reference(s)		 118-Tcatalogue.11
165 reference(s)
119-MiseEnSceneDesNombres.01.vv.Ang
165 reference(s)		 120-MathematiquesEtRepresentations.01.vv.Ang
165 reference(s)
121-MathematiquesEtCinematographe.01.vv
163 reference(s)		 122-AvantPropos.01.Fra
163 reference(s)
123-Galerie_DeterministicChaos
162 reference(s)		 124-fairedelarecherche.01.vv
160 reference(s)
125-VisitesGaleriesEnfouies.01.Ang
159 reference(s)		 126-Informations_GoodNewsAndBadNews.01.Fra
158 reference(s)
127-DuReelAuVirtuel.01.Fra
158 reference(s)		 128-Pcatalogue.11
157 reference(s)

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




Copyright © Jean-François COLONNA, 2018-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2018-2023.