Monthly Best Of on 07/28/2016




A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set 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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Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
1-364 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-354 reference(s)		Hypercube
3-347 reference(s)		Happy new year 2000
4-252 reference(s)
Autostereogram with an hidden volcano
5-226 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
6-219 reference(s)		Autostereogram with an hidden volcano
7-213 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
8-209 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-207 reference(s)		Bidimensional Hilbert Curve -iteration 4-
10-168 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
11-164 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
12-146 reference(s)
Pseudo Olympic Rings
13-126 reference(s)		Sixteen interlaced torus
14-126 reference(s)		Autostereogram with an hidden volcano
15-118 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
16-116 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
17-109 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-107 reference(s)		Artistic view of the prime numbers
19-106 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-102 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-98 reference(s)		The Bonan-Jeener-Klein triple bottle
22-94 reference(s)		Autostereogram with an hidden volcano
23-88 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
24-78 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-71 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
26-69 reference(s)		Tridimensional Hilbert Curve -iteration 3-
27-67 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
28-64 reference(s)
The random walk of photons escaping the Sun
29-57 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-57 reference(s)		Quantum vacuum fluctuations
31-56 reference(s)		Generation of the 63 first Conway's surreal numbers
32-56 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
33-56 reference(s)		The Jeener-Klein triple bottle
34-53 reference(s)		The generalized Ulam spiral
35-52 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
36-52 reference(s)
The bidimensional John Conway's life game
37-51 reference(s)		The random walk of photons escaping the Sun
38-50 reference(s)		From Mars to the Sun
39-47 reference(s)		Autostereogram with an hidden ring and ghost bows
40-45 reference(s)
Quark and gluon structure of a nucleon
41-44 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
42-42 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
43-42 reference(s)		Autostereogram of Monument Valley
44-42 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-
45-42 reference(s)		The Möbius strip
46-42 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
47-42 reference(s)		Bidimensional geometrical texture animation
48-41 reference(s)
The random walk of photons escaping the Sun
49-41 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
50-41 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)
Bidimensional texture animation by means of the Generalized Product
53-41 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)-
54-41 reference(s)		Tridimensional zoom in on the Mandelbrot set
55-41 reference(s)		True colors autostereogram of a fractal landscape
56-40 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
57-40 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
58-39 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
59-39 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
60-39 reference(s)
Autostereogram with an hidden ring and ghost bows
61-36 reference(s)		3-foil knot
62-36 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
63-36 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
64-35 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
65-35 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-
66-35 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
67-34 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-34 reference(s)
Fractal natural form
69-33 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
70-33 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
71-32 reference(s)		Autostereogram with an hidden volcano
72-32 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)
73-32 reference(s)		Fractal natural form
74-31 reference(s)		The Klein bottle
75-31 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
76-30 reference(s)
The Universe at the heart of a Calabi-Yau manifold
77-28 reference(s)		Sixteen interlaced fractal torus
78-28 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral -with display of the spiral-
79-27 reference(s)		A pay slip
80-27 reference(s)
From 'geocentrism' to 'heliocentrism'
81-27 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
82-27 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
83-26 reference(s)		An Archimedes spiral displaying 10000 numbers
84-26 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
85-26 reference(s)		An aperiodic Penrose tiling of the plane
86-25 reference(s)		Fractal structure of a nucleon
87-25 reference(s)		An Archimedes spiral displaying 5000 numbers
88-25 reference(s)
A fractal hypercube
89-25 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
90-24 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
91-23 reference(s)		Quantum vacuum fluctuations
92-22 reference(s)
The generalized Ulam spiral displaying 100 numbers
93-22 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
94-21 reference(s)		The RGB cube and the additive synthesis of colors
95-21 reference(s)		The 'green' reflection of a red triangle obtained by a 'blue' symmetry of each red vertex about the opposite red side
96-21 reference(s)
Bidimensional zoom in on the Mandelbrot set
97-21 reference(s)		Artistic view of a quadridimensional Calabi-Yau manifold
98-21 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
99-20 reference(s)		A set of 4x3 stereograms of a fractal hypercube
100-20 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
101-20 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
102-19 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
103-19 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
104-19 reference(s)
Untitled 0250
105-19 reference(s)		The Lorenz attractor
106-19 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
107-19 reference(s)		The Jeener-Klein triple bottle
108-19 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
109-18 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
110-17 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
111-17 reference(s)		A quaternionic Julia set -tridimensional cross-section-
112-17 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
113-16 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
114-16 reference(s)		Tridimensional display of the inflationary Universe
115-16 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
116-16 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
117-16 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
118-16 reference(s)		An Archimedes spiral displaying 50000 numbers
119-15 reference(s)		Tridimensional fractal structure -the space-time foam?-
120-15 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
121-14 reference(s)		A punched paper tape
122-14 reference(s)		The Generalization of the reflection of a triangle
123-14 reference(s)		The Scream -a Tribute to Edvard Munch-
124-14 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
125-14 reference(s)		Portrait (Lena)-7x7 square-
126-14 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
127-14 reference(s)		The Lorenz attractor
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
707 reference(s)		2-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
503 reference(s)
3-An2000.01.Fra
437 reference(s)		4-GenieLogiciel_VisualisationScientifique.01.vv
351 reference(s)
5-Stereogrammes_AutoStereogrammes.01
340 reference(s)		6-help.
326 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
311 reference(s)		8-Vcatalogue.11
309 reference(s)
9-mail.01.vv
271 reference(s)		10-AVirtualSpaceTimeTravelMachine.Fra
268 reference(s)
11-copyright.01.
265 reference(s)		12-Galerie_NumberTheory.FV
262 reference(s)
13-RealNumbers.01.Fra
247 reference(s)		14-FaireDeLaRecherche.01.vv
244 reference(s)
15-FloatingPointNumbers.01.Fra
243 reference(s)		16-Galerie_QuantumMechanics.FV
237 reference(s)
17-AProposSite.01.Fra
228 reference(s)		18-UlamSpiral.01.Fra
224 reference(s)
19-stereogrammes_autostereogrammes.01
220 reference(s)		20-Fractal.01
219 reference(s)
21-MorePages.
216 reference(s)		22-MathematiquesPhysiqueFractales.02
214 reference(s)
23-AnimFractal.01.
214 reference(s)		24-Galerie_NewPictures.FV
211 reference(s)
25-Galerie_BestOf.FV
209 reference(s)		26-Galerie_ArtAndScience.FV
209 reference(s)
27-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
207 reference(s)		28-Galerie_ParticleSystems.FV
204 reference(s)
29-Galerie_GeneralitiesVisualization.FV
203 reference(s)		30-NDimensionalDeterministicFractalSets.01.Fra
201 reference(s)
31-Galerie_CelestialMechanics.FV
201 reference(s)		32-Fractal.11
196 reference(s)
33-NombresEtLumiere.01.vv.Fra
195 reference(s)		34-Galerie_DeterministicFractalGeometry.FV
194 reference(s)
35-catalogue.11
193 reference(s)		36-Galerie_ArtisticCreation.FV
193 reference(s)
37-SurfaceProjector.01.Ang
190 reference(s)		38-MonodimensionalCellularAutomata.01.Fra
188 reference(s)
39-GoldenTriangle.01.Fra
188 reference(s)		40-NDimensionalDeterministicFractalSets.01.Ang
187 reference(s)
41-SurfaceProjector.01.Fra
186 reference(s)		42-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
186 reference(s)
43-FloatingPointNumbers.01.Ang
185 reference(s)		44-AQuoiServentLesMathematiques.01
185 reference(s)
45-Galerie_DeterministicChaos.FV
183 reference(s)		46-Kepler.02.
182 reference(s)
47-ExpV_VirE.11
181 reference(s)		48-EntrelacsIntertwinings.01.Fra
179 reference(s)
49-Galerie_FluidMechanics.FV
178 reference(s)		50-Informations_GoodNewsAndBadNews.01.Fra
177 reference(s)
51-ImagesDuVirtuel.01.Fra.FV
177 reference(s)		52-nombresreels
176 reference(s)
53-Autostereograms.01.
176 reference(s)		54-ComplexiteStructurelleClassements.11
175 reference(s)
55-realnumbers
174 reference(s)		56-demo
174 reference(s)
57-genielogiciel
173 reference(s)		58-VisitesGaleriesEnfouies.01.Fra
173 reference(s)
59-GenieLogiciel.01.Fra
173 reference(s)		60-MathematiquesPhysiqueFractales.22
172 reference(s)
61-Galerie_SignalProcessing.FV
172 reference(s)		62-demo14
171 reference(s)
63-demo.14
171 reference(s)		64-an2000
171 reference(s)
65-ImpossibleStructures.01.Fra
170 reference(s)		66-subject.01.
169 reference(s)
67-logiciel
169 reference(s)		68-VirtualChaos.01.Fra
169 reference(s)
69-OrdinateursEtCalculs.01.Ang
169 reference(s)		70-Galerie_Astrophysics.FV
169 reference(s)
71-Fractal.03
168 reference(s)		72-infinity.02.vv
167 reference(s)
73-DuModeleALImage.02.Fra
167 reference(s)		74-infinity.01.vv
166 reference(s)
75-create.03.
166 reference(s)		76-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
166 reference(s)
77-OrdinateursEtCalculs.01.Fra
165 reference(s)		78-LOG_xiMc.11
165 reference(s)
79-EntrelacsIntertwinings.01.Ang
165 reference(s)		80-fairedelarecherche.01.vv
164 reference(s)
81-MiseEnSceneDesNombres.01.vv.Fra
164 reference(s)		82-NatureDesMathematiques.01.vv.Fra
163 reference(s)
83-UlamSpiral.01.Ang
162 reference(s)		84-RasoirDOccamEtMathematiques.01.vv.Fra
162 reference(s)
85-ImpossibleStructures.01.Ang
162 reference(s)		86-Galerie_TextureSynthesis.FV
162 reference(s)
87-VisitesGaleriesEnfouies.01.Ang
161 reference(s)		88-RemarquesCerveau.01
161 reference(s)
89-OrdinateurMathematiquesArt.01.Fra
160 reference(s)		90-Spheres.01
159 reference(s)
91-Galerie_SensitivityToRoundingOffErrors.FV
159 reference(s)		92-MonodimensionalCellularAutomata.01.Ang
158 reference(s)
93-MiseEnSceneDesNombres.01.vv.Ang
157 reference(s)		94-Fractal.02
157 reference(s)
95-DieuScience.01.Fra
157 reference(s)		96-MathematiquesModeleOutilArtiste.02.Ang
156 reference(s)
97-ExpV_VirE.Ang
155 reference(s)		98-EnsembleDesGaleries.DIAPO.0001
154 reference(s)
99-aquoiserventlesmathematiques.01
153 reference(s)		100-IllusionConnaissance.02
153 reference(s)
101-VirtualChaos.01.Ang
152 reference(s)		102-LesApprentisDieux.01
152 reference(s)
103-MathematiquesEtCinematographe.01.vv
151 reference(s)		104-Galerie_Tributes.FV
150 reference(s)
105-PerteDeLAssociativite.01
149 reference(s)		106-GoldenTriangle.01.Ang
149 reference(s)
107-An2000.02.Fra
148 reference(s)		108-ManyChaos.01.Ang
146 reference(s)
109-Informations_AboutPicturesAnimationsAndFiles.01.Ang
146 reference(s)		110-Galerie_ImagesDidactiques.FV
146 reference(s)
111-PatrimoineHumanite.02.Fra
145 reference(s)		112-MathematiquesEtRepresentations.01.vv.Ang
144 reference(s)
113-ManyChaos.01.Fra
143 reference(s)		114-AvantPropos.01.Fra
143 reference(s)
115-QuelquesQuestionsSurLaRecherche.01.Fra
142 reference(s)		116-VisualisationRelief.01.vv.Fra
140 reference(s)
117-AvantPropos.01.Ang
140 reference(s)		118-RasoirDOccamEtMathematiques.01.vv.Ang
139 reference(s)
119-EnsembleDesGaleriesFractales.DIAPO.0001
136 reference(s)		120-ulamspiral.01.fra
131 reference(s)
121-ExpV_VirE.21
131 reference(s)		122-Galerie_AnthropomorphicPatterns.DIAPO.0012
130 reference(s)
123-relativity.01.
127 reference(s)		124-Galerie_AnthropomorphicPatterns.DIAPO.0013
126 reference(s)
125-Galerie_AnthropomorphicPatterns.DIAPO.0011
126 reference(s)		126-present.01.
125 reference(s)
127-VisSci_SciVis.02
125 reference(s)		128-Galerie_AnthropomorphicPatterns.DIAPO.0014
125 reference(s)

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