Monthly Best Of on 08/28/2014




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,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 08/28/2014 and last updated on 10/03/2024 17:02:53 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
1-1402 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
2-757 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
3-568 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-
4-339 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-272 reference(s)		Tridimensional Hilbert Curve -iteration 3-
6-208 reference(s)		Bidimensional Hilbert Curve -iteration 4-
7-198 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-198 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-179 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
10-177 reference(s)		Artistic view of the prime numbers
11-148 reference(s)		Happy new year 2000
12-146 reference(s)
Autostereogram with an hidden volcano
13-139 reference(s)		The generalized Ulam spiral
14-136 reference(s)		Autostereogram with an hidden volcano
15-132 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
16-125 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
17-109 reference(s)		The random walk of photons escaping the Sun
18-107 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-102 reference(s)		The random walk of photons escaping the Sun
20-101 reference(s)
Sixteen interlaced torus
21-96 reference(s)		Autostereogram with an hidden volcano
22-92 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-89 reference(s)		Zoom in on the von Koch curve
24-85 reference(s)
Quantum vacuum fluctuations
25-77 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
26-76 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
27-75 reference(s)		Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
28-75 reference(s)
Hypercube
29-66 reference(s)		A tridimensional pseudo-random walk defined by means of 'phi' -the golden ratio-: 1.618033... -100.000 digits, base 10- into 341254... -128.508 digits, -base 6-
30-64 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
31-60 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)
32-59 reference(s)
The Jeener-Klein triple bottle
33-56 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
34-54 reference(s)		Artistic view of the Big Bang
35-53 reference(s)		Quark and gluon structure of a nucleon
36-52 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
37-51 reference(s)		The Lorenz attractor
38-50 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
39-48 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
40-48 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
41-46 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
42-45 reference(s)		True colors autostereogram of a fractal landscape
43-45 reference(s)		Close-up on a foggy 'MandelBox' -tridimensional cross-section-
44-45 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
45-44 reference(s)		A 'spiraling plane' defined by means of three bidimensional fields
46-43 reference(s)		Quark and gluon structure of a nucleon
47-43 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
48-42 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
49-42 reference(s)		Electron-positron scattering
50-42 reference(s)		Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
51-41 reference(s)		Opencast mine (bird's-eye view)
52-40 reference(s)
From Pluto to the Sun (non linear scales)
53-39 reference(s)		Zoom in on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
54-39 reference(s)		A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
55-39 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
56-38 reference(s)
Autostereogram with an hidden ring and ghost bows
57-38 reference(s)		The Klein bottle
58-38 reference(s)		The Birth of the Universe
59-38 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
60-37 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
61-37 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')for sixteen different lightings -tridimensional cross-section-
62-37 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
63-37 reference(s)		About the length of the von Koch curve
64-36 reference(s)
Monument Valley à la David Hockney
65-36 reference(s)		Two identical grey rectangles in front of a grey scale
66-36 reference(s)		A quaternionic Julia set -tridimensional cross-section-
67-36 reference(s)		A fractal Möbius strip
68-36 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
69-35 reference(s)		Artistic view of the Big Bang
70-34 reference(s)		Autostereogram with an hidden volcano
71-34 reference(s)		Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
72-34 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
73-34 reference(s)		A quaternionic Julia set -tridimensional cross-section-
74-34 reference(s)		A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
75-34 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
76-34 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
77-34 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
78-33 reference(s)		Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
79-33 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
80-33 reference(s)
Sixteen interlaced fractal torus
81-33 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
82-33 reference(s)		Tridimensional fractal structure -the space-time foam?-
83-33 reference(s)		Bidimensional clouds or height field
84-33 reference(s)
Paradoxal structure based on the geometry of the sphere
85-32 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
86-32 reference(s)		The generalized Ulam spiral displaying 100 numbers
87-32 reference(s)		Monument Valley à la David Hockney
88-32 reference(s)
Autostereogram of Monument Valley
89-32 reference(s)		The Solar System with a dark blue virtual planet -virtual planet point of view-
90-32 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
91-32 reference(s)		Tridimensional heterogeneous fractal structure in a tridimensional torus
92-32 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
93-32 reference(s)		The Bonan-Jeener-Klein triple bottle
94-32 reference(s)		Along the border of the Mandelbrot set
95-31 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
96-31 reference(s)
A 'fractal plane' with overhangings defined by means of three bidimensional fields
97-31 reference(s)		A 'spiraling plane' defined by means of three bidimensional fields with depth of field effect
98-31 reference(s)		Mystery cliffs at sunrise
99-31 reference(s)		The erosion of the Babel Tower
100-31 reference(s)
Tridimensional visualization of the Verhulst dynamics
101-31 reference(s)		Tridimensional artistic view of the Verhulst dynamics
102-31 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0,0,0,0,0) -tridimensional cross-section-
103-31 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
104-31 reference(s)
A fractal hypercube
105-31 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
106-31 reference(s)		The construction process of the von Koch curve
107-30 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
108-30 reference(s)
The pseudo-quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the pseudo-quaternionic space (a 'NewtonBulb') -tridimensional cross-section-
109-30 reference(s)		A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 12 -tridimensional cross-section-
110-30 reference(s)		Foggy Monument Valley
111-30 reference(s)		A set of 4x3 stereograms of a few Babel Towers
112-30 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
113-30 reference(s)		A bidimensional Sierpinski Carpet computed by means of an 'Iterated Function System' -IFS-
114-30 reference(s)		A set of 4x3 stereograms of a fractal Möbius strip
115-30 reference(s)		Snowy Rocky Mountains
116-30 reference(s)
From the infinitely small to the infinitely big
117-30 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
118-30 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
119-29 reference(s)		Autostereogram with an hidden volcano
120-29 reference(s)
A 'crumpled' sphere defined by means of three bidimensional fields
121-29 reference(s)		Alien spacecrafts on the Moon
122-29 reference(s)		The Lorenz attractor
123-29 reference(s)		Rotation about the Y (vertical)axis of the 1-foil torus knot on its torus and its asociated Möbius strip, that can also be viewed as a set of 4x3 stereograms
124-29 reference(s)
Sixty-four interlaced fractal torus
125-29 reference(s)		A shell (Jeener surface 1)
126-29 reference(s)		Tridimensional visualization of the ABC conjecture
127-29 reference(s)		Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
128-29 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
483 reference(s)		2-An2000.01.Fra
384 reference(s)
3-Galerie_Tributes.FV
363 reference(s)		4-help.
328 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
297 reference(s)		6-Fractal.01
288 reference(s)
7-FloatingPointNumbers.01.Fra
274 reference(s)		8-RealNumbers.01.Fra
263 reference(s)
9-Galerie_NumberTheory.FV
261 reference(s)		10-AQuoiServentLesMathematiques.01
248 reference(s)
11-Stereogrammes_AutoStereogrammes.01
247 reference(s)		12-Galerie_NewPictures.FV
240 reference(s)
13-mail.01.vv
224 reference(s)		14-UlamSpiral.01.Fra
220 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
220 reference(s)		16-Galerie_DeterministicFractalGeometry.FV
219 reference(s)
17-AProposSite.01.Fra
213 reference(s)		18-MathematiquesPhysiqueFractales.02
212 reference(s)
19-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
209 reference(s)		20-Galerie_GeneralitiesVisualization.FV
208 reference(s)
21-Galerie_ArtAndScience.FV
203 reference(s)		22-GoldenTriangle.01.Fra
202 reference(s)
23-SurfaceProjector.01.Fra
201 reference(s)		24-FaireDeLaRecherche.01.vv
201 reference(s)
25-DieuScience.01.Fra
201 reference(s)		26-DuModeleALImage.02.Fra
200 reference(s)
27-Galerie_CelestialMechanics.FV
198 reference(s)		28-MorePages.
197 reference(s)
29-GenieLogiciel_VisualisationScientifique.01.vv
196 reference(s)		30-catalogue.11
192 reference(s)
31-AnimFractal.01.
192 reference(s)		32-Fractal.11
191 reference(s)
33-NatureDesMathematiques.01.vv.Fra
190 reference(s)		34-Kepler.02.
190 reference(s)
35-Galerie_Astrophysics.FV
187 reference(s)		36-Autostereograms.01.
186 reference(s)
37-SurfaceProjector.01.Ang
185 reference(s)		38-EntrelacsIntertwinings.01.Ang
185 reference(s)
39-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
185 reference(s)		40-NDimensionalDeterministicFractalSets.01.Ang
184 reference(s)
41-ImagesDuVirtuel.01.Fra.FV
184 reference(s)		42-FloatingPointNumbers.01.Ang
184 reference(s)
43-ExpV_VirE.11
183 reference(s)		44-UlamSpiral.01.Ang
182 reference(s)
45-Fractal.03
182 reference(s)		46-Galerie_QuantumMechanics.FV
181 reference(s)
47-Galerie_BestOf.FV
181 reference(s)		48-IllusionConnaissance.02
179 reference(s)
49-LOG_xiMc.11
178 reference(s)		50-GoldenTriangle.01.Ang
178 reference(s)
51-copyright.01.
177 reference(s)		52-Galerie_ArtisticCreation.FV
177 reference(s)
53-OrdinateursEtCalculs.01.Fra
175 reference(s)		54-ImpossibleStructures.01.Fra
175 reference(s)
55-Galerie_SignalProcessing.FV
175 reference(s)		56-Galerie_ParticleSystems.FV
175 reference(s)
57-EntrelacsIntertwinings.01.Fra
175 reference(s)		58-infinity.01.vv
174 reference(s)
59-Galerie_TextureSynthesis.FV
173 reference(s)		60-infinity.02.vv
172 reference(s)
61-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
172 reference(s)		62-OrdinateurMathematiquesArt.01.Fra
171 reference(s)
63-ManyChaos.01.Fra
171 reference(s)		64-AvantPropos.01.Fra
170 reference(s)
65-NDimensionalDeterministicFractalSets.01.Fra
169 reference(s)		66-Galerie_DeterministicChaos.FV
169 reference(s)
67-MonodimensionalCellularAutomata.01.Fra
168 reference(s)		68-MonodimensionalCellularAutomata.01.Ang
168 reference(s)
69-Galerie_SensitivityToRoundingOffErrors.FV
168 reference(s)		70-AvantPropos.01.Ang
168 reference(s)
71-PerteDeLAssociativite.01
167 reference(s)		72-ImpossibleStructures.01.Ang
167 reference(s)
73-GenieLogiciel.01.Fra
167 reference(s)		74-create.03.
166 reference(s)
75-ExpV_VirE.Ang
166 reference(s)		76-PatrimoineHumanite.02.Fra
165 reference(s)
77-MathematiquesPhysiqueFractales.22
165 reference(s)		78-VirtualChaos.01.Ang
164 reference(s)
79-EnsembleDesGaleriesFractales.DIAPO.0001
164 reference(s)		80-subject.01.
162 reference(s)
81-demo
161 reference(s)		82-VisitesGaleriesEnfouies.01.Fra
161 reference(s)
83-nombresreels
160 reference(s)		84-MathematiquesEtCinematographe.01.vv
160 reference(s)
85-LesApprentisDieux.01
160 reference(s)		86-realnumbers
159 reference(s)
87-an2000
159 reference(s)		88-NombresEtLumiere.01.vv.Fra
159 reference(s)
89-Spheres.01
158 reference(s)		90-OrdinateursEtCalculs.01.Ang
158 reference(s)
91-present.01.
157 reference(s)		92-logiciel
157 reference(s)
93-genielogiciel
157 reference(s)		94-demo14
157 reference(s)
95-MathematiquesModeleOutilArtiste.02.Ang
157 reference(s)		96-MathematiquesEtRepresentations.01.vv.Ang
157 reference(s)
97-EnsembleDesGaleries.DIAPO.0001
157 reference(s)		98-demo.14
156 reference(s)
99-VisitesGaleriesEnfouies.01.Ang
156 reference(s)		100-Informations_AboutPicturesAnimationsAndFiles.01.Ang
156 reference(s)
101-Fractal.02
155 reference(s)		102-ManyChaos.01.Ang
154 reference(s)
103-QuelquesQuestionsSurLaRecherche.01.Fra
153 reference(s)		104-aquoiserventlesmathematiques.01
151 reference(s)
105-RemarquesCerveau.01
151 reference(s)		106-Galerie_FluidMechanics.FV
150 reference(s)
107-fractal.01
146 reference(s)		108-ExpV_VirE.21
144 reference(s)
109-Galerie_ImagesDesMathematiques.FV
143 reference(s)		110-VirtualChaos.01.Fra
142 reference(s)
111-MathematiquesPhysiqueFractales.01
141 reference(s)		112-Informations_AboutPicturesAnimationsAndFiles.01.Fra
140 reference(s)
113-Vcatalogue.11
138 reference(s)		114-Informations_GoodNewsAndBadNews.01.Fra
137 reference(s)
115-ArtEtMathematiques.01
134 reference(s)		116-Commentaires_NKleinBottle.01
132 reference(s)
117-HommageBenoitMandelbrot.21
130 reference(s)		118-ImagesDuVirtuel.01.Fra
127 reference(s)
119-ExpV_VirE.Fra
126 reference(s)		120-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
125 reference(s)
121-Informations_GoodNewsAndBadNews.01.Ang
122 reference(s)		122-ExpV_VirE.01.Fra
121 reference(s)
123-MathematiquesPhysiqueFractales.12
120 reference(s)		124-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
120 reference(s)
125-An2000.04.Fra
120 reference(s)		126-Galeries.01.vv
119 reference(s)
127-Commentaires_ProblemeDesNCorps.01
119 reference(s)		128-Galerie_NumbersAndLight.FV
118 reference(s)

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




Copyright © Jean-François COLONNA, 2014-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2014-2024.