Monthly Best Of on 07/28/2017




A pseudo-quaternionic 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 07/28/2017 and last updated on 04/15/2019 11:17:42 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-331 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-257 reference(s)
Happy new year 2000
3-234 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
4-213 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-210 reference(s)
Autostereogram with an hidden volcano
6-208 reference(s)
Autostereogram with an hidden ring and ghost bows
7-178 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
8-178 reference(s)
Portrait (Lena)-7x7 square-
9-174 reference(s)
The Sierpinski carpet -iteration 1-
10-170 reference(s)
Autostereogram with an hidden volcano
11-125 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
12-120 reference(s)
Bidimensional Hilbert Curve -iteration 4-
13-110 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-110 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
15-109 reference(s)
Artistic view of the prime numbers
16-105 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-94 reference(s)
The Bonan-Jeener's triple Klein bottle
18-94 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
19-93 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
20-93 reference(s)
The random walk of photons escaping the Sun
21-80 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
22-77 reference(s)
Quantum vacuum fluctuations
23-71 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
24-69 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
25-68 reference(s)
The generalized Ulam spiral
26-64 reference(s)
The bidimensional John Conway's life game
27-62 reference(s)
The random walk of photons escaping the Sun
28-61 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
29-60 reference(s)
Autostereogram with an hidden volcano
30-59 reference(s)
The Jeener's triple Klein bottle
31-58 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-55 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
33-54 reference(s)
A pseudo-periodical Penrose tiling of the plane
34-51 reference(s)
Autostereogram with an hidden ring and ghost bows
35-49 reference(s)
Sixteen interlaced fractal torus
36-48 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
37-47 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-47 reference(s)
The random walk of photons escaping the Sun
39-46 reference(s)
From Mars to the Sun
40-46 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
41-46 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
42-45 reference(s)
Tridimensional zoom in on the Mandelbrot set
43-45 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
44-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
45-44 reference(s)
Bidimensional texture animation by means of the Generalized Product
46-43 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-
47-43 reference(s)
The Universe at the heart of a Calabi-Yau manifold
48-42 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
49-42 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
50-42 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
51-41 reference(s)
Tridimensional texture animation by means of the Generalized Product
52-41 reference(s)
The Möbius strip
53-41 reference(s)
Bidimensional geometrical texture animation
54-40 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
55-40 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
56-40 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
57-40 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
58-38 reference(s)
The control panel of a 1972 Télémécanique T1600 computer
59-37 reference(s)
Autostereogram with an hidden volcano
60-37 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
61-36 reference(s)
The first four iterations of the construction of the von Koch snowflake
62-35 reference(s)
Tridimensional display of the inflationary Universe
63-35 reference(s)
Autostereogram of Monument Valley
64-34 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
65-33 reference(s)
Fractal natural form
66-33 reference(s)
A perfect bidimensional fractal tree and the self-similarity
67-32 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
68-32 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
69-32 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-32 reference(s)
Tridimensional Hilbert Curve -iteration 3-
71-31 reference(s)
Pseudo Olympic Rings
72-30 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
73-28 reference(s)
A pseudo-periodical Penrose tiling of the plane
74-27 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
75-27 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
76-27 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
77-27 reference(s)
True colors autostereogram of a fractal landscape
78-26 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
79-25 reference(s)
An Archimedes spiral displaying 100000 numbers
80-25 reference(s)
Quark and gluon structure of a nucleon
81-25 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
82-25 reference(s)
Sixteen interlaced torus
83-25 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
84-25 reference(s)
The Penrose city
85-24 reference(s)
The end of the World
86-24 reference(s)
Bidimensional zoom in on the Mandelbrot set
87-24 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
88-24 reference(s)
Autostereogram with an hidden volcano
89-23 reference(s)
From 'geocentrism' to 'heliocentrism'
90-23 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
91-23 reference(s)
Animation of bidimensional textures by means of the self-transformation of a fractal process
92-22 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-
93-22 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
94-22 reference(s)
Fractal structure of a nucleon
95-21 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
96-21 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
97-21 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
98-20 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
99-20 reference(s)
The Klein bottle
100-20 reference(s)
A set of 4x3 stereograms of a tridimensional visualization of the Verhulst dynamics
101-19 reference(s)
Tridimensional display of a pseudo-periodical Penrose tiling of the plane with a fractal noise
102-18 reference(s)
A pseudo-periodical Penrose tiling of the plane
103-18 reference(s)
The Mathematics are the key of the Multiverse
104-18 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
105-18 reference(s)
An Archimedes spiral displaying 10000 numbers
106-18 reference(s)
No Title 0264
107-18 reference(s)
Quark and gluon structure of a nucleon
108-18 reference(s)
From Pluto to the Sun (linear scales)
109-18 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
110-18 reference(s)
Rotation about the X axis of the Lorenz attractor
111-18 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
112-17 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)
113-17 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
114-17 reference(s)
Tridimenional display of the Goldbach conjecture
115-17 reference(s)
A fractal Möbius strip
116-17 reference(s)
A fractal vegetal structure
117-16 reference(s)
Generation of the 63 first Conway's surreal numbers
118-16 reference(s)
Fractal natural form
119-16 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
120-16 reference(s)
Tridimensional visualization of the Verhulst dynamics -'The Flying Dutchman', a tribute to Richard Wagner-
121-16 reference(s)
Three hexagons defining 28 different points (13 vertices plus 15 'middle' points)
122-16 reference(s)
Quantum vacuum fluctuations
123-15 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
124-15 reference(s)
The Sierpinski carpet -iteration 5-
125-15 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
126-15 reference(s)
A tridimensional cubic mesh with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
127-15 reference(s)
Monument Valley à la David Hockney
128-15 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1086 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
653 reference(s)
3-An2000.01.Fra
479 reference(s)
4-Galerie_GeneralitiesVisualization.FV
460 reference(s)
5-Vcatalogue.11
385 reference(s)
6-FloatingPointNumbers.01.Ang
364 reference(s)
7-SurfaceProjector.01.Fra
328 reference(s)
8-help.
325 reference(s)
9-mail.01.vv
316 reference(s)
10-ComplexiteStructurelleClassements.11
315 reference(s)
11-FaireDeLaRecherche.01.vv
314 reference(s)
12-ExpV_VirE.11
310 reference(s)
13-RealNumbers.01.Fra
307 reference(s)
14-FloatingPointNumbers.01.Fra
307 reference(s)
15-Galerie_ArtAndScience.FV
306 reference(s)
16-Fractal.01
303 reference(s)
17-Galerie_NumberTheory.FV
300 reference(s)
18-AVirtualSpaceTimeTravelMachine.Fra
300 reference(s)
19-Stereogrammes_AutoStereogrammes.01
294 reference(s)
20-Galerie_ArtisticCreation.FV
289 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
288 reference(s)
22-GenieLogiciel_VisualisationScientifique.01.vv
285 reference(s)
23-AProposSite.01.Fra
275 reference(s)
24-SurfaceProjector.01.Ang
274 reference(s)
25-Galerie_NewPictures.FV
274 reference(s)
26-MathematiquesPhysiqueFractales.02
270 reference(s)
27-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
268 reference(s)
28-GoldenTriangle.01.Fra
266 reference(s)
29-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
265 reference(s)
30-MathematiquesPhysiqueFractales.22
265 reference(s)
31-MorePages.
263 reference(s)
32-Galerie_CelestialMechanics.FV
262 reference(s)
33-Galerie_QuantumMechanics.FV
256 reference(s)
34-Galerie_ParticleSystems.FV
256 reference(s)
35-Fractal.03
256 reference(s)
36-DieuScience.01.Fra
256 reference(s)
37-ImpossibleStructures.01.Ang
255 reference(s)
38-copyright.01.
254 reference(s)
39-NDimensionalDeterministicFractalSets.01.Fra
254 reference(s)
40-Galerie_BestOf.FV
253 reference(s)
41-GenieLogiciel.01.Fra
251 reference(s)
42-Galerie_Astrophysics.FV
249 reference(s)
43-NDimensionalDeterministicFractalSets.01.Ang
248 reference(s)
44-Kepler.02.
248 reference(s)
45-UlamSpiral.01.Fra
247 reference(s)
46-AnimFractal.01.
247 reference(s)
47-EntrelacsIntertwinings.01.Fra
246 reference(s)
48-GoldenTriangle.01.Ang
245 reference(s)
49-ImagesDuVirtuel.01.Fra.FV
244 reference(s)
50-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
244 reference(s)
51-Fractal.11
242 reference(s)
52-NombresEtLumiere.01.vv.Fra
241 reference(s)
53-LOG_xiMc.11
240 reference(s)
54-Galerie_TextureSynthesis.FV
238 reference(s)
55-Galerie_SignalProcessing.FV
238 reference(s)
56-Galerie_FluidMechanics.FV
238 reference(s)
57-catalogue.11
237 reference(s)
58-infinity.01.vv
236 reference(s)
59-AQuoiServentLesMathematiques.01
236 reference(s)
60-Galerie_SensitivityToRoundingOffErrors.FV
234 reference(s)
61-Galerie_DeterministicChaos.FV
234 reference(s)
62-EnsembleDesGaleriesFractales.DIAPO.0001
233 reference(s)
63-UlamSpiral.01.Ang
232 reference(s)
64-Informations_GoodNewsAndBadNews.01.Fra
230 reference(s)
65-Galerie_Tributes.FV
230 reference(s)
66-FaireDesMathematiques.01.Fra
230 reference(s)
67-VisitesGaleriesEnfouies.01.Ang
229 reference(s)
68-infinity.02.vv
228 reference(s)
69-RemarquesCerveau.01
228 reference(s)
70-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
228 reference(s)
71-MonodimensionalCellularAutomata.01.Ang
226 reference(s)
72-Spheres.01
225 reference(s)
73-OrdinateursEtCalculs.01.Fra
225 reference(s)
74-MiseEnSceneDesNombres.01.vv.Fra
225 reference(s)
75-MathematiquesEtRepresentations.01.vv.Ang
225 reference(s)
76-subject.01.
224 reference(s)
77-MiseEnSceneDesNombres.01.vv.Ang
223 reference(s)
78-ManyChaos.01.Fra
223 reference(s)
79-VirtualChaos.01.Ang
222 reference(s)
80-PerteDeLAssociativite.01
222 reference(s)
81-MonodimensionalCellularAutomata.01.Fra
222 reference(s)
82-ExpV_VirE.Ang
222 reference(s)
83-ImpossibleStructures.01.Fra
220 reference(s)
84-Fractal.02
220 reference(s)
85-EntrelacsIntertwinings.01.Ang
220 reference(s)
86-OrdinateurMathematiquesArt.01.Fra
219 reference(s)
87-NatureDesMathematiques.01.vv.Fra
219 reference(s)
88-MathematiquesModeleOutilArtiste.02.Ang
219 reference(s)
89-RasoirDOccamEtMathematiques.01.vv.Ang
218 reference(s)
90-OrdinateursEtCalculs.01.Ang
218 reference(s)
91-MathematiquesLangageDuGrandLivreDeLaNature.12
218 reference(s)
92-MathematiquesEtCinematographe.01.vv
218 reference(s)
93-EnsembleDesGaleries.DIAPO.0001
218 reference(s)
94-PatrimoineHumanite.02.Fra
217 reference(s)
95-ManyChaos.01.Ang
217 reference(s)
96-VisitesGaleriesEnfouies.01.Fra
216 reference(s)
97-LesApprentisDieux.01
216 reference(s)
98-IllusionConnaissance.02
216 reference(s)
99-Commentaires_Epicycloide.03
216 reference(s)
100-RasoirDOccamEtMathematiques.01.vv.Fra
215 reference(s)
101-Informations_AboutPicturesAnimationsAndFiles.01.Ang
215 reference(s)
102-DuModeleALImage.02.Fra
215 reference(s)
103-AvantPropos.01.Fra
215 reference(s)
104-create.03.
214 reference(s)
105-PerteDeLaDistributivite.01.DIS2
214 reference(s)
106-Autostereograms.01.
214 reference(s)
107-NombresPremiers_10000.vv
212 reference(s)
108-AvantPropos.01.Ang
211 reference(s)
109-nombresreels
210 reference(s)
110-VirtualChaos.01.Fra
210 reference(s)
111-realnumbers
209 reference(s)
112-QuelquesQuestionsSurLaRecherche.01.Fra
208 reference(s)
113-VisualisationRelief.01.vv.Fra
207 reference(s)
114-present.01.
192 reference(s)
115-Galerie_ImagesDesMathematiques.FV
192 reference(s)
116-ExpV_VirE.21
184 reference(s)
117-genielogiciel
183 reference(s)
118-demo
182 reference(s)
119-logiciel
181 reference(s)
120-demo14
181 reference(s)
121-demo.14
180 reference(s)
122-an2000
180 reference(s)
123-VisSci_SciVis.02
179 reference(s)
124-An2000.02.Fra
178 reference(s)
125-Galerie_NumbersAndLight.FV
175 reference(s)
126-MonumentValley.01.Ang
171 reference(s)
127-Commentaires_RacinesTroisiemesUniteComplexes.01
170 reference(s)
128-VisSci_SciVis.01
168 reference(s)

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




Copyright (c) Jean-François Colonna, 2017-2019.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2019.