Monthly Best Of on 12/28/2013




A quaternionic Julia set -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 12/28/2013 and last updated on 10/03/2024 17:02:42 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-958 reference(s)		Sixteen interlaced torus
2-657 reference(s)		Artistic variation on a tridimensional fractal cross -iteration 2-
3-379 reference(s)		Happy new year 2000
4-324 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
5-268 reference(s)		Artistic variation on a tridimensional fractal cross -iteration 4-
6-251 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
7-195 reference(s)		Untitled 0202 -a Tribute to Henri Matisse-
8-175 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)
9-171 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
10-159 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
11-153 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
12-147 reference(s)
Monument Valley à la David Hockney
13-144 reference(s)		Artistic view of the prime numbers
14-139 reference(s)		Autostereogram with an hidden volcano
15-133 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
16-119 reference(s)
The random walk of photons escaping the Sun
17-116 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-112 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-110 reference(s)		Quantum vacuum fluctuations
20-105 reference(s)
The random walk of photons escaping the Sun
21-105 reference(s)		'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
22-98 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
23-98 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
24-98 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
25-97 reference(s)		From Pluto to the Sun (non linear scales)
26-96 reference(s)		Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
27-93 reference(s)		From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
28-92 reference(s)
Zoom in on the von Koch curve
29-90 reference(s)		The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
30-86 reference(s)		Tridimensional Hilbert Curve -iteration 3-
31-85 reference(s)		Autostereogram with an hidden volcano
32-82 reference(s)
Autostereogram with an hidden volcano
33-81 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
34-81 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
35-81 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
36-71 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
37-70 reference(s)		Quark and gluon structure of a nucleon
38-70 reference(s)		The Lorenz attractor
39-67 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
40-67 reference(s)
The generalized Ulam spiral
41-64 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
42-63 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
43-62 reference(s)		A fractal hypercube
44-62 reference(s)
A Part of the DNA double helix -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
45-61 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
46-59 reference(s)		Sixteen interlaced fractal torus
47-57 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
48-56 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
49-55 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
50-50 reference(s)		The Scream -a Tribute to Edvard Munch-
51-47 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
52-47 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
53-46 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
54-46 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
55-45 reference(s)		Autostereogram with an hidden ring and ghost bows
56-45 reference(s)
Autostereogram of Monument Valley
57-45 reference(s)		Tridimensional fractal structure -the space-time foam?-
58-45 reference(s)		Light clouds at sunset
59-45 reference(s)		Autostereogram with an hidden volcano
60-44 reference(s)
The generalized Ulam spiral displaying 100 numbers
61-44 reference(s)		Quark and gluon structure of a nucleon
62-44 reference(s)		Untitled 0198
63-43 reference(s)		The Jeener-Klein triple bottle
64-43 reference(s)
Sunny Monument Valley
65-42 reference(s)		True colors autostereogram of a fractal landscape
66-42 reference(s)		An Archimedes spiral displaying 100000 numbers
67-40 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
68-40 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
69-40 reference(s)		Quantum vacuum fluctuations
70-39 reference(s)		A bidimensional pseudo-random walk defined by means of 'pi': 141592... -10.000 decimals, -base 10- with 10.000 time steps
71-39 reference(s)		The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
72-39 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
73-39 reference(s)		The Birth of the Universe
74-39 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
75-38 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
76-38 reference(s)
The Jeener-Klein triple bottle
77-38 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
78-37 reference(s)		Along the border of the Mandelbrot set
79-37 reference(s)		Recursive intertwining
80-37 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
81-37 reference(s)		A variable Archimedes spiral displaying 1000 numbers
82-37 reference(s)		Botticelli anomaly on the Moon
83-37 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
84-37 reference(s)
Artistic view of the Big Bang
85-36 reference(s)		Autostereogram with an hidden volcano
86-36 reference(s)		An Archimedes spiral displaying 1000 numbers
87-35 reference(s)		Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
88-35 reference(s)
Fractal piano keyboard
89-34 reference(s)		From the infinitely small to the infinitely big
90-34 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
91-34 reference(s)		Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
92-33 reference(s)
Fractal structure of a nucleon
93-33 reference(s)		Bidimensional Hilbert Curve -iteration 4-
94-33 reference(s)		Snowy Rocky Mountains
95-33 reference(s)		Untitled 0196
96-33 reference(s)
Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -a Tribute to José Hernández- -tridimensional cross-section-
97-32 reference(s)		Tridimenional display of the Goldbach conjecture
98-32 reference(s)		A shell (Jeener surface 1)in motion
99-32 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
100-32 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
101-31 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
102-31 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
103-31 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
104-30 reference(s)
Mountains at sunrise
105-30 reference(s)		Hypercube
106-30 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
107-30 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
108-29 reference(s)
'There is a war' -a Tribute to Leonard Cohen-
109-29 reference(s)		The generalized Ulam spiral
110-29 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
111-29 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
112-29 reference(s)
A pay slip
113-28 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
114-28 reference(s)		Botticelli anomaly on the Moon
115-28 reference(s)		Untitled 0137 -'Jour de Lenteur', a Tribute to Yves Tanguy-
116-28 reference(s)
The bidimensional John Conway's life game
117-28 reference(s)		Artistic variation on two quaternionic Julia/Mandelbrot sets -tridimensional cross-section-
118-28 reference(s)		A quaternionic Julia set -tridimensional cross-section-
119-28 reference(s)		A 4-cube -an hypercube-
120-28 reference(s)
The abelian -commutative- group defined on elliptic curves
121-28 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
122-28 reference(s)		Universe or Multiverse -The fractal Universe-?
123-27 reference(s)		The generalized Ulam spiral displaying 1024 numbers
124-27 reference(s)
A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 050330... -12.849 digits, -base 6-
125-27 reference(s)		Monument Valley à la David Hockney
126-27 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'the children round' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
127-27 reference(s)		Rotation about the X axis of the Lorenz attractor
128-27 reference(s)




2-The 128 most referenced Pages (*):

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



1-catalogue.11
1246 reference(s)		2-demo_14
517 reference(s)
3-AQuoiServentLesMathematiques.01
452 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
448 reference(s)
5-An2000.01.Fra
400 reference(s)		6-Fractal.01
398 reference(s)
7-aquoiserventlesmathematiques.01
373 reference(s)		8-help.
352 reference(s)
9-FloatingPointNumbers.01.Fra
348 reference(s)		10-Stereogrammes_AutoStereogrammes.01
300 reference(s)
11-fractal.01
293 reference(s)		12-UlamSpiral.01.Fra
287 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
277 reference(s)		14-RealNumbers.01.Fra
271 reference(s)
15-FaireDeLaRecherche.01.vv
271 reference(s)		16-Galerie_NumberTheory.FV
263 reference(s)
17-MathematiquesPhysiqueFractales.02
260 reference(s)		18-MorePages.
251 reference(s)
19-Galerie_NewPictures.FV
245 reference(s)		20-MathematiquesPhysiqueFractales.22
228 reference(s)
21-copyright.01.
222 reference(s)		22-Galerie_ArtisticCreation.FV
219 reference(s)
23-Galerie_DeterministicFractalGeometry.FV
215 reference(s)		24-fairedelarecherche.01.vv
213 reference(s)
25-mail.01.vv
211 reference(s)		26-GenieLogiciel_VisualisationScientifique.01.vv
210 reference(s)
27-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
210 reference(s)		28-Galerie_QuantumMechanics.FV
201 reference(s)
29-MonodimensionalCellularAutomata.01.Fra
200 reference(s)		30-Galerie_GeneralitiesVisualization.FV
198 reference(s)
31-Galerie_ArtAndScience.FV
198 reference(s)		32-infinity.02.vv
195 reference(s)
33-Fractal.11
194 reference(s)		34-ExpV_VirE.11
193 reference(s)
35-IllusionConnaissance.02
188 reference(s)		36-GoldenTriangle.01.Fra
188 reference(s)
37-ImagesDuVirtuel.01.Fra.FV
186 reference(s)		38-AProposSite.01.Fra
186 reference(s)
39-SurfaceProjector.01.Fra
185 reference(s)		40-SurfaceProjector.01.Ang
185 reference(s)
41-Fractal.03
185 reference(s)		42-DieuScience.01.Fra
185 reference(s)
43-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
182 reference(s)		44-Autostereograms.01.
182 reference(s)
45-GenieLogiciel.01.Fra
181 reference(s)		46-Galerie_Astrophysics.FV
180 reference(s)
47-demo
179 reference(s)		48-Galerie_FluidMechanics.FV
178 reference(s)
49-realnumbers
177 reference(s)		50-infinity.01.vv
177 reference(s)
51-an2000
177 reference(s)		52-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
176 reference(s)
53-ImpossibleStructures.01.Ang
176 reference(s)		54-UlamSpiral.01.Ang
175 reference(s)
55-Galerie_CelestialMechanics.FV
174 reference(s)		56-Galerie_BestOf.FV
174 reference(s)
57-Kepler.02.
173 reference(s)		58-Informations_AboutPicturesAnimationsAndFiles.01.Ang
172 reference(s)
59-AnimFractal.01.
172 reference(s)		60-Galerie_SignalProcessing.FV
171 reference(s)
61-Galerie_DeterministicChaos.FV
171 reference(s)		62-NatureDesMathematiques.01.vv.Fra
170 reference(s)
63-EnsembleDesGaleries.DIAPO.0001
170 reference(s)		64-GoldenTriangle.01.Ang
169 reference(s)
65-EnsembleDesGaleriesFractales.DIAPO.0001
169 reference(s)		66-NDimensionalDeterministicFractalSets.01.Fra
168 reference(s)
67-AvantPropos.01.Fra
168 reference(s)		68-nombresreels
167 reference(s)
69-demo.14
167 reference(s)		70-OrdinateurMathematiquesArt.01.Fra
167 reference(s)
71-Galerie_Tributes.FV
167 reference(s)		72-FloatingPointNumbers.01.Ang
167 reference(s)
73-logiciel
166 reference(s)		74-ImpossibleStructures.01.Fra
166 reference(s)
75-EntrelacsIntertwinings.01.Fra
166 reference(s)		76-genielogiciel
165 reference(s)
77-demo14
165 reference(s)		78-Galerie_ParticleSystems.FV
165 reference(s)
79-OrdinateursEtCalculs.01.Fra
164 reference(s)		80-MonodimensionalCellularAutomata.01.Ang
164 reference(s)
81-Informations_GoodNewsAndBadNews.01.Fra
163 reference(s)		82-NombresEtLumiere.01.vv.Fra
162 reference(s)
83-NDimensionalDeterministicFractalSets.01.Ang
161 reference(s)		84-EntrelacsIntertwinings.01.Ang
160 reference(s)
85-RemarquesCerveau.01
159 reference(s)		86-ManyChaos.01.Fra
157 reference(s)
87-LOG_xiMc.11
157 reference(s)		88-EntrelacsIntertwinings.01.Ang.DIAPO.0090
157 reference(s)
89-create.03.
154 reference(s)		90-OrdinateursEtCalculs.01.Ang
153 reference(s)
91-Galerie_TextureSynthesis.FV
153 reference(s)		92-ExpV_VirE.21
153 reference(s)
93-EntrelacsIntertwinings.01.Ang.DIAPO.0007
153 reference(s)		94-ExpV_VirE.Fra
152 reference(s)
95-subject.01.
151 reference(s)		96-present.01.
151 reference(s)
97-VisitesGaleriesEnfouies.01.Ang
151 reference(s)		98-MathematiquesPhysiqueFractales.01
151 reference(s)
99-EntrelacsIntertwinings.01.Ang.DIAPO.0054
151 reference(s)		100-EnsembleDesGaleries.DIAPO.0003
150 reference(s)
101-Galerie_AnthropomorphicPatterns.DIAPO.0040
149 reference(s)		102-EntrelacsIntertwinings.01.Ang.DIAPO.0027
149 reference(s)
103-EntrelacsIntertwinings.01.Ang.DIAPO.0009
149 reference(s)		104-EntrelacsIntertwinings.01.Ang.DIAPO.0132
148 reference(s)
105-EntrelacsIntertwinings.01.Ang.DIAPO.0079
148 reference(s)		106-ExpV_VirE.Ang
147 reference(s)
107-EntrelacsIntertwinings.01.Ang.DIAPO.0076
147 reference(s)		108-EnsembleDesGaleries.DIAPO.0763
147 reference(s)
109-EnsembleDesGaleries.DIAPO.0729
147 reference(s)		110-EnsembleDesGaleries.DIAPO.0524
147 reference(s)
111-An2000.01.Ang
147 reference(s)		112-Galerie_AnthropomorphicPatterns.DIAPO.0035
146 reference(s)
113-Commentaires_NKleinBottle.02
146 reference(s)		114-EntrelacsIntertwinings.01.Ang.DIAPO.0105
145 reference(s)
115-EntrelacsIntertwinings.01.Ang.DIAPO.0016
145 reference(s)		116-PerteDeLAssociativite.01
144 reference(s)
117-MathematiquesEtCinematographe.01.vv
144 reference(s)		118-ManyChaos.01.Ang
144 reference(s)
119-Galerie_SensitivityToRoundingOffErrors.FV
144 reference(s)		120-Galerie_DeterministicFractalGeometry.DIAPO.0008
144 reference(s)
121-EnsembleDesGaleries.DIAPO.0523
144 reference(s)		122-DecimalesPi_100000.vv
144 reference(s)
123-An2000.04.Fra
144 reference(s)		124-VisitesGaleriesEnfouies.01.Fra
143 reference(s)
125-Spheres.01
143 reference(s)		126-PatrimoineHumanite.02.Fra
143 reference(s)
127-MathematiquesEtRepresentations.01.vv.Ang
143 reference(s)		128-EnsembleDesGaleriesFractales.DIAPO.0166
143 reference(s)

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




Copyright © Jean-François COLONNA, 2013-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2024.