Monthly Best Of on 10/28/2016




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 10/28/2016 and last updated on 10/03/2024 17:03:17 -CEST-)




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-
1-788 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-751 reference(s)		Hypercube
3-590 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-569 reference(s)
Autostereogram with an hidden volcano
5-310 reference(s)		Happy new year 2000
6-290 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
7-286 reference(s)		Autostereogram with an hidden volcano
8-276 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
9-255 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
10-225 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
11-203 reference(s)		Tridimensional Hilbert Curve -iteration 3-
12-171 reference(s)
The Bonan-Jeener-Klein triple bottle
13-158 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
14-157 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-144 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-137 reference(s)
The random walk of photons escaping the Sun
17-130 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
18-130 reference(s)		Pseudo Olympic Rings
19-125 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
20-123 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
21-110 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
22-109 reference(s)		Autostereogram with an hidden volcano
23-107 reference(s)		The Jeener-Klein triple bottle
24-97 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-94 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
26-92 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
27-92 reference(s)		From 'geocentrism' to 'heliocentrism'
28-87 reference(s)
The generalized Ulam spiral
29-85 reference(s)		Quantum vacuum fluctuations
30-84 reference(s)		The random walk of photons escaping the Sun
31-77 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-77 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
33-75 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
34-75 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
35-72 reference(s)		Autostereogram with an hidden volcano
36-70 reference(s)
The random walk of photons escaping the Sun
37-70 reference(s)		Fractal natural form
38-68 reference(s)		Quark and gluon structure of a nucleon
39-68 reference(s)		Autostereogram with an hidden ring and ghost bows
40-65 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
41-65 reference(s)		Artistic view of the prime numbers
42-57 reference(s)		Sixteen interlaced torus
43-55 reference(s)		Fractal natural form
44-52 reference(s)
The bidimensional John Conway's life game
45-52 reference(s)		The Universe at the heart of a Calabi-Yau manifold
46-47 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
47-47 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
48-47 reference(s)
An aperiodic Penrose tiling of the plane
49-46 reference(s)		True colors autostereogram of a fractal landscape
50-46 reference(s)		The Klein bottle
51-46 reference(s)		From Mars to the Sun
52-45 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
53-44 reference(s)		Tridimensional zoom in on the Mandelbrot set
54-44 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
55-44 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
56-43 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
57-43 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
58-43 reference(s)		An Archimedes spiral displaying 10000 numbers
59-43 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-
60-43 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
61-42 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
62-42 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
63-42 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
64-41 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
65-41 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
66-41 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
67-41 reference(s)		Bidimensional texture animation by means of the Generalized Product
68-41 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
69-41 reference(s)		Autostereogram of Monument Valley
70-41 reference(s)		The Möbius strip
71-41 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
72-40 reference(s)
Bidimensional geometrical texture animation
73-40 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
74-40 reference(s)		Tridimensional texture animation by means of the Generalized Product
75-40 reference(s)		Autostereogram with an hidden ring and ghost bows
76-37 reference(s)
An Archimedes spiral displaying 5000 numbers
77-36 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-
78-35 reference(s)		Sixteen interlaced fractal torus
79-35 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
80-35 reference(s)
The first four iterations of the construction of the von Koch snowflake
81-34 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
82-33 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
83-33 reference(s)		Autostereogram with an hidden volcano
84-32 reference(s)
A perfect bidimensional fractal tree and the self-similarity
85-31 reference(s)		Generation of the 63 first Conway's surreal numbers
86-31 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
87-30 reference(s)		The 64 first lines of the Pascal's Triangle
88-29 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
89-29 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
90-28 reference(s)		The Lorenz attractor
91-28 reference(s)		A punched paper tape
92-27 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
93-27 reference(s)		Quantum vacuum fluctuations
94-26 reference(s)		The generalized Ulam spiral displaying 100 numbers
95-26 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
96-26 reference(s)
From Pluto to the Sun (non linear scales)
97-26 reference(s)		The Lorenz attractor
98-26 reference(s)		Beyond Pluto
99-25 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
100-24 reference(s)
The journey of an Earth-like virtuel planet (green)in the Solar System -point of view of the virtual planet-
101-24 reference(s)		Synthesis of bidimensional geometrical textures
102-24 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
103-24 reference(s)		Tridimensional display of the inflationary Universe
104-24 reference(s)
An aperiodic Penrose tiling of the plane
105-23 reference(s)		The Solar System with a dark blue virtual planet -heliocentric point of view-
106-23 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)
107-23 reference(s)		A fractal hypercube
108-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
109-23 reference(s)		The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Uranus-
110-22 reference(s)		The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
111-21 reference(s)		Quark and gluon structure of a nucleon
112-21 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
113-21 reference(s)		Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
114-21 reference(s)		The Jeener-Klein triple bottle
115-21 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
116-20 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
117-20 reference(s)		Monument Valley à la David Hockney
118-20 reference(s)		The Mandelbrot set with tridimensional display of the arguments and computed with an increasing exponent, from 1 -bottom left- to 16 -top right-
119-20 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
120-20 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
121-20 reference(s)		The tower -a Tribute to Vladimir Tatline-
122-20 reference(s)		Generation of the 63x63 first Conway's surreal complex numbers
123-19 reference(s)		The Scream -a Tribute to Edvard Munch-
124-19 reference(s)
The Ulam spiral displaying 2025 numbers
125-19 reference(s)		Bidimensional zoom in on the Mandelbrot set
126-19 reference(s)		A quoi servent les Mathématiques?
127-19 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
850 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
569 reference(s)
3-An2000.01.Fra
418 reference(s)		4-Stereogrammes_AutoStereogrammes.01
413 reference(s)
5-FloatingPointNumbers.01.Fra
328 reference(s)		6-FaireDeLaRecherche.01.vv
328 reference(s)
7-help.
308 reference(s)		8-MathematiquesPhysiqueFractales.02
298 reference(s)
9-stereogrammes_autostereogrammes.01
291 reference(s)		10-Galerie_NumberTheory.FV
287 reference(s)
11-Fractal.01
277 reference(s)		12-Vcatalogue.11
268 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
268 reference(s)		14-GenieLogiciel_VisualisationScientifique.01.vv
259 reference(s)
15-RealNumbers.01.Fra
255 reference(s)		16-AProposSite.01.Fra
241 reference(s)
17-fairedelarecherche.01.vv
240 reference(s)		18-UlamSpiral.01.Fra
238 reference(s)
19-Galerie_DeterministicFractalGeometry.FV
229 reference(s)		20-mail.01.vv
226 reference(s)
21-SurfaceProjector.01.Fra
222 reference(s)		22-MorePages.
222 reference(s)
23-FaireDesMathematiques.01.Fra
219 reference(s)		24-Galerie_ParticleSystems.FV
214 reference(s)
25-Galerie_NewPictures.FV
212 reference(s)		26-Galerie_BestOf.FV
212 reference(s)
27-MathematiquesPhysiqueFractales.22
211 reference(s)		28-Galerie_QuantumMechanics.FV
211 reference(s)
29-Galerie_GeneralitiesVisualization.FV
210 reference(s)		30-Fractal.11
210 reference(s)
31-AnimFractal.01.
209 reference(s)		32-GoldenTriangle.01.Fra
205 reference(s)
33-Galerie_CelestialMechanics.FV
203 reference(s)		34-OrdinateursEtCalculs.01.Fra
201 reference(s)
35-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
201 reference(s)		36-SurfaceProjector.01.Ang
199 reference(s)
37-ExpV_VirE.11
197 reference(s)		38-PerteDeLAssociativite.01
196 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
196 reference(s)		40-copyright.01.
195 reference(s)
41-NDimensionalDeterministicFractalSets.01.Ang
195 reference(s)		42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
191 reference(s)
43-EntrelacsIntertwinings.01.Ang
191 reference(s)		44-NombresEtLumiere.01.vv.Fra
190 reference(s)
45-Galerie_ArtisticCreation.FV
189 reference(s)		46-GenieLogiciel.01.Fra
187 reference(s)
47-AQuoiServentLesMathematiques.01
187 reference(s)		48-Galerie_Astrophysics.FV
185 reference(s)
49-Galerie_ArtAndScience.FV
185 reference(s)		50-NDimensionalDeterministicFractalSets.01.Fra
184 reference(s)
51-Informations_GoodNewsAndBadNews.01.Fra
184 reference(s)		52-Galerie_FluidMechanics.FV
184 reference(s)
53-FloatingPointNumbers.01.Ang
184 reference(s)		54-logiciel
183 reference(s)
55-demo
183 reference(s)		56-EntrelacsIntertwinings.01.Fra
183 reference(s)
57-OrdinateursEtCalculs.01.Ang
182 reference(s)		58-genielogiciel
181 reference(s)
59-demo14
181 reference(s)		60-nombresreels
180 reference(s)
61-infinity.01.vv
180 reference(s)		62-an2000
180 reference(s)
63-OrdinateurMathematiquesArt.01.Fra
180 reference(s)		64-NatureDesMathematiques.01.vv.Fra
179 reference(s)
65-Kepler.02.
179 reference(s)		66-MonodimensionalCellularAutomata.01.Fra
178 reference(s)
67-Galerie_DeterministicChaos.FV
178 reference(s)		68-demo.14
177 reference(s)
69-ImagesDuVirtuel.01.Fra.FV
177 reference(s)		70-Galerie_SignalProcessing.FV
177 reference(s)
71-create.03.
176 reference(s)		72-IllusionConnaissance.02
176 reference(s)
73-Fractal.03
176 reference(s)		74-DieuScience.01.Fra
176 reference(s)
75-VirtualChaos.01.Ang
175 reference(s)		76-MonodimensionalCellularAutomata.01.Ang
175 reference(s)
77-Galerie_TextureSynthesis.FV
175 reference(s)		78-subject.01.
174 reference(s)
79-ImpossibleStructures.01.Ang
172 reference(s)		80-realnumbers
171 reference(s)
81-ImpossibleStructures.01.Fra
171 reference(s)		82-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
169 reference(s)
83-UlamSpiral.01.Ang
169 reference(s)		84-LOG_xiMc.11
168 reference(s)
85-Autostereograms.01.
168 reference(s)		86-VisitesGaleriesEnfouies.01.Fra
167 reference(s)
87-MiseEnSceneDesNombres.01.vv.Ang
167 reference(s)		88-MathematiquesModeleOutilArtiste.02.Ang
167 reference(s)
89-GoldenTriangle.01.Ang
167 reference(s)		90-Galerie_SensitivityToRoundingOffErrors.FV
167 reference(s)
91-Fractal.02
167 reference(s)		92-catalogue.11
166 reference(s)
93-VisualisationRelief.01.vv.Fra
166 reference(s)		94-MiseEnSceneDesNombres.01.vv.Fra
166 reference(s)
95-RasoirDOccamEtMathematiques.01.vv.Fra
165 reference(s)		96-EnsembleDesGaleriesFractales.DIAPO.0001
165 reference(s)
97-EnsembleDesGaleries.DIAPO.0001
165 reference(s)		98-DuModeleALImage.02.Fra
165 reference(s)
99-VirtualChaos.01.Fra
164 reference(s)		100-infinity.02.vv
163 reference(s)
101-RemarquesCerveau.01
163 reference(s)		102-ExpV_VirE.Ang
163 reference(s)
103-MathematiquesEtCinematographe.01.vv
162 reference(s)		104-VisitesGaleriesEnfouies.01.Ang
161 reference(s)
105-Spheres.01
161 reference(s)		106-PatrimoineHumanite.02.Fra
161 reference(s)
107-MathematiquesEtRepresentations.01.vv.Ang
161 reference(s)		108-LesApprentisDieux.01
160 reference(s)
109-AvantPropos.01.Ang
159 reference(s)		110-Galerie_Tributes.FV
158 reference(s)
111-AvantPropos.01.Fra
158 reference(s)		112-ManyChaos.01.Fra
157 reference(s)
113-QuelquesQuestionsSurLaRecherche.01.Fra
156 reference(s)		114-ManyChaos.01.Ang
154 reference(s)
115-MathematiquesPhysiqueFractales.01
153 reference(s)		116-RasoirDOccamEtMathematiques.01.vv.Ang
150 reference(s)
117-MinistreEducationNationale.01.Fra
146 reference(s)		118-An2000.02.Fra
144 reference(s)
119-aquoiserventlesmathematiques.01
143 reference(s)		120-Informations_AboutPicturesAnimationsAndFiles.01.Ang
141 reference(s)
121-ExpV_VirE.21
141 reference(s)		122-VisSci_SciVis.02
140 reference(s)
123-PresidentRepublique.01.Fra
140 reference(s)		124-PourLaScience.01.Fra
140 reference(s)
125-ArtScience.01
139 reference(s)		126-relativity.01.
138 reference(s)
127-VisSci_SciVis.01
135 reference(s)		128-Commentaires_DoubleJeenerBottle.01
135 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.