Monthly Best Of on 05/28/2016




A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-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 05/28/2016 and last updated on 10/03/2024 17:03:13 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-735 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-655 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-526 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-489 reference(s)
Happy new year 2000
5-342 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
6-288 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
7-279 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
8-271 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
9-237 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
10-224 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-221 reference(s)		Sixteen interlaced torus
12-182 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-180 reference(s)		Autostereogram with an hidden volcano
14-179 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
15-178 reference(s)		Autostereogram with an hidden volcano
16-176 reference(s)
The Bonan-Jeener-Klein triple bottle
17-174 reference(s)		Tridimensional Hilbert Curve -iteration 3-
18-156 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
19-130 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-123 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
21-119 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-118 reference(s)		Autostereogram with an hidden volcano
23-117 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-104 reference(s)
Artistic view of the prime numbers
25-101 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-97 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
27-94 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
28-91 reference(s)
The random walk of photons escaping the Sun
29-90 reference(s)		The Jeener-Klein triple bottle
30-85 reference(s)		Quantum vacuum fluctuations
31-77 reference(s)		Autostereogram with an hidden volcano
32-76 reference(s)
Fractal natural form
33-76 reference(s)		The generalized Ulam spiral
34-76 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
35-73 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-70 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
37-68 reference(s)		Sixteen interlaced fractal torus
38-64 reference(s)		The random walk of photons escaping the Sun
39-58 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
40-58 reference(s)
Autostereogram with an hidden ring and ghost bows
41-57 reference(s)		The bidimensional John Conway's life game
42-57 reference(s)		An aperiodic Penrose tiling of the plane
43-53 reference(s)		Fractal natural form
44-52 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
45-52 reference(s)		Autostereogram with an hidden ring and ghost bows
46-50 reference(s)		Pseudo Olympic Rings
47-50 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
48-49 reference(s)
An Archimedes spiral displaying 5000 numbers
49-48 reference(s)		Quark and gluon structure of a nucleon
50-48 reference(s)		The random walk of photons escaping the Sun
51-47 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-
52-46 reference(s)
From 'geocentrism' to 'heliocentrism'
53-46 reference(s)		Bidimensional texture animation by means of the Generalized Product
54-45 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
55-45 reference(s)		Bidimensional geometrical texture animation
56-44 reference(s)
Tridimensional texture animation by means of the Generalized Product
57-44 reference(s)		The Möbius strip
58-44 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
59-43 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
60-43 reference(s)
Tridimensional zoom in on the Mandelbrot set
61-43 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
62-43 reference(s)		A quoi servent les Mathématiques?
63-43 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
64-42 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
65-42 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
66-41 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
67-41 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
68-41 reference(s)
Autostereogram with an hidden volcano
69-40 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
70-40 reference(s)		An Archimedes spiral displaying 10000 numbers
71-40 reference(s)		From Mars to the Sun
72-40 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-39 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
74-38 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
75-38 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
76-37 reference(s)
Quark and gluon structure of a nucleon
77-35 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
78-32 reference(s)		Autostereogram of Monument Valley
79-32 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
80-31 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
81-31 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
82-31 reference(s)		True colors autostereogram of a fractal landscape
83-30 reference(s)		The Klein bottle
84-30 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
85-29 reference(s)		An Archimedes spiral displaying 50000 numbers
86-28 reference(s)		A quaternionic Julia set -tridimensional cross-section-
87-28 reference(s)		The Jeener-Klein triple bottle
88-28 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
89-27 reference(s)		The Klein bottle in motion
90-27 reference(s)		The 64 first lines of the Pascal's Triangle
91-26 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
92-26 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)
93-26 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
94-26 reference(s)		A set of 4x3 stereograms of a fractal hypercube
95-26 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
96-26 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
97-26 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
98-25 reference(s)		Gravitation and space-time curvature
99-24 reference(s)		The journey of a sphere (dark blue)in a system of pure uniform non concentric circular motions -moving point of view (dark blue)-
100-24 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
101-24 reference(s)		The Universe at the heart of a Calabi-Yau manifold
102-23 reference(s)		An aperiodic Penrose tiling of the plane
103-23 reference(s)		A pay slip
104-23 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
105-23 reference(s)		The Lorenz attractor
106-23 reference(s)		A two sheet hyperboloid of revolution
107-23 reference(s)		From the infinitely small to the infinitely big
108-23 reference(s)
The tower -a Tribute to Vladimir Tatline-
109-23 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
110-22 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
111-22 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
112-22 reference(s)
A one sheet hyperboloid of revolution -negative curvature-
113-22 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
114-22 reference(s)		The first four iterations of the construction of the von Koch snowflake
115-21 reference(s)		Generation of the 63 first Conway's surreal numbers
116-21 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
117-20 reference(s)		A perfect bidimensional fractal tree and the self-similarity
118-20 reference(s)		The pseudo-sphere
119-20 reference(s)		Monument Valley à la David Hockney
120-20 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
121-20 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
122-19 reference(s)		Artistic view of the Big Bang
123-19 reference(s)		A vibrating ternary tree
124-19 reference(s)
The generalized Ulam spiral displaying 100 numbers
125-19 reference(s)		The Menger Sponge -iteration 5-
126-19 reference(s)		A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
127-19 reference(s)		Bidimensional zoom in on the Mandelbrot set
128-19 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
952 reference(s)		2-An2000.01.Fra
447 reference(s)
3-Stereogrammes_AutoStereogrammes.01
383 reference(s)		4-FaireDeLaRecherche.01.vv
344 reference(s)
5-GenieLogiciel_VisualisationScientifique.01.vv
332 reference(s)		6-help.
328 reference(s)
7-Fractal.01
315 reference(s)		8-AVirtualSpaceTimeTravelMachine.Ang
293 reference(s)
9-RealNumbers.01.Fra
283 reference(s)		10-FloatingPointNumbers.01.Fra
276 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
273 reference(s)		12-Galerie_NumberTheory.FV
272 reference(s)
13-mail.01.vv
265 reference(s)		14-Galerie_NewPictures.FV
263 reference(s)
15-AProposSite.01.Fra
259 reference(s)		16-UlamSpiral.01.Fra
258 reference(s)
17-copyright.01.
257 reference(s)		18-MathematiquesPhysiqueFractales.02
243 reference(s)
19-AQuoiServentLesMathematiques.01
243 reference(s)		20-GoldenTriangle.01.Fra
242 reference(s)
21-MorePages.
239 reference(s)		22-SurfaceProjector.01.Fra
238 reference(s)
23-AnimFractal.01.
238 reference(s)		24-Galerie_QuantumMechanics.FV
235 reference(s)
25-SurfaceProjector.01.Ang
233 reference(s)		26-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
232 reference(s)
27-stereogrammes_autostereogrammes.01
229 reference(s)		28-NombresEtLumiere.01.vv.Fra
229 reference(s)
29-NDimensionalDeterministicFractalSets.01.Ang
229 reference(s)		30-fairedelarecherche.01.vv
228 reference(s)
31-Galerie_GeneralitiesVisualization.FV
226 reference(s)		32-NDimensionalDeterministicFractalSets.01.Fra
221 reference(s)
33-Galerie_BestOf.FV
219 reference(s)		34-Galerie_ParticleSystems.FV
217 reference(s)
35-Galerie_CelestialMechanics.FV
216 reference(s)		36-Fractal.11
216 reference(s)
37-ExpV_VirE.11
216 reference(s)		38-NatureDesMathematiques.01.vv.Fra
214 reference(s)
39-Vcatalogue.11
213 reference(s)		40-FloatingPointNumbers.01.Ang
213 reference(s)
41-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
213 reference(s)		42-Galerie_ArtAndScience.FV
211 reference(s)
43-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
210 reference(s)		44-Galerie_DeterministicFractalGeometry.FV
207 reference(s)
45-GenieLogiciel.01.Fra
206 reference(s)		46-MathematiquesPhysiqueFractales.22
204 reference(s)
47-Informations_GoodNewsAndBadNews.01.Fra
204 reference(s)		48-Galerie_ArtisticCreation.FV
204 reference(s)
49-catalogue.11
202 reference(s)		50-LOG_xiMc.11
202 reference(s)
51-Galerie_DeterministicChaos.FV
202 reference(s)		52-Galerie_FluidMechanics.FV
201 reference(s)
53-MonodimensionalCellularAutomata.01.Fra
200 reference(s)		54-EntrelacsIntertwinings.01.Fra
199 reference(s)
55-OrdinateursEtCalculs.01.Fra
198 reference(s)		56-DieuScience.01.Fra
198 reference(s)
57-Kepler.02.
196 reference(s)		58-infinity.01.vv
193 reference(s)
59-VirtualChaos.01.Fra
193 reference(s)		60-Autostereograms.01.
193 reference(s)
61-OrdinateursEtCalculs.01.Ang
192 reference(s)		62-create.03.
191 reference(s)
63-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
190 reference(s)		64-EntrelacsIntertwinings.01.Ang
189 reference(s)
65-subject.01.
188 reference(s)		66-realnumbers
188 reference(s)
67-Galerie_SignalProcessing.FV
188 reference(s)		68-infinity.02.vv
187 reference(s)
69-ImpossibleStructures.01.Fra
187 reference(s)		70-demo
185 reference(s)
71-MonodimensionalCellularAutomata.01.Ang
185 reference(s)		72-Galerie_Astrophysics.FV
185 reference(s)
73-aquoiserventlesmathematiques.01
184 reference(s)		74-RemarquesCerveau.01
184 reference(s)
75-IllusionConnaissance.02
184 reference(s)		76-VisitesGaleriesEnfouies.01.Fra
183 reference(s)
77-Fractal.03
183 reference(s)		78-genielogiciel
182 reference(s)
79-UlamSpiral.01.Ang
182 reference(s)		80-OrdinateurMathematiquesArt.01.Fra
182 reference(s)
81-ImagesDuVirtuel.01.Fra.FV
182 reference(s)		82-demo.14
181 reference(s)
83-an2000
181 reference(s)		84-nombresreels
180 reference(s)
85-demo14
180 reference(s)		86-MathematiquesModeleOutilArtiste.02.Ang
180 reference(s)
87-EnsembleDesGaleriesFractales.DIAPO.0001
180 reference(s)		88-PatrimoineHumanite.02.Fra
178 reference(s)
89-DuModeleALImage.02.Fra
178 reference(s)		90-VirtualChaos.01.Ang
177 reference(s)
91-MathematiquesEtCinematographe.01.vv
177 reference(s)		92-Galerie_TextureSynthesis.FV
177 reference(s)
93-RasoirDOccamEtMathematiques.01.vv.Fra
176 reference(s)		94-EnsembleDesGaleries.DIAPO.0001
176 reference(s)
95-logiciel
175 reference(s)		96-Spheres.01
175 reference(s)
97-Galerie_SensitivityToRoundingOffErrors.FV
175 reference(s)		98-MiseEnSceneDesNombres.01.vv.Fra
174 reference(s)
99-ManyChaos.01.Ang
174 reference(s)		100-GoldenTriangle.01.Ang
174 reference(s)
101-AvantPropos.01.Ang
174 reference(s)		102-VisualisationRelief.01.vv.Fra
173 reference(s)
103-PerteDeLAssociativite.01
173 reference(s)		104-Galerie_Tributes.FV
173 reference(s)
105-Fractal.02
173 reference(s)		106-AvantPropos.01.Fra
173 reference(s)
107-LesApprentisDieux.01
172 reference(s)		108-ImpossibleStructures.01.Ang
172 reference(s)
109-VisitesGaleriesEnfouies.01.Ang
168 reference(s)		110-QuelquesQuestionsSurLaRecherche.01.Fra
168 reference(s)
111-ManyChaos.01.Fra
168 reference(s)		112-RasoirDOccamEtMathematiques.01.vv.Ang
166 reference(s)
113-ExpV_VirE.Ang
166 reference(s)		114-ExpV_VirE.21
165 reference(s)
115-MiseEnSceneDesNombres.01.vv.Ang
162 reference(s)		116-MathematiquesPhysiqueFractales.01
159 reference(s)
117-MathematiquesEtRepresentations.01.vv.Ang
159 reference(s)		118-fractal.01
153 reference(s)
119-Informations_AboutPicturesAnimationsAndFiles.01.Ang
151 reference(s)		120-present.01.
143 reference(s)
121-relativity.01.
142 reference(s)		122-ExpV_VirE.01.Fra
142 reference(s)
123-Commentaires_NKleinBottle.01
140 reference(s)		124-VisSci_SciVis.02
139 reference(s)
125-ImagesDuVirtuel.01.Fra
137 reference(s)		126-An2000.02.Fra
137 reference(s)
127-VisSci_SciVis.01
135 reference(s)		128-xrC_____ChaineBitsAleatoires_1024x1024.01.vv.I.
134 reference(s)

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




Copyright © Jean-François COLONNA, 2016-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2024.