Monthly Best Of on 09/28/2017




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 09/28/2017 and last updated on 11/14/2023 17:49:19 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Bidimensional Hilbert Curve -iteration 4-
1-840 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-373 reference(s)		 Autostereogram with an hidden volcano
3-349 reference(s)		 Erosion of a bidimensional random (with small and large scale correlations)medium
4-303 reference(s)
Happy new year 2000
5-271 reference(s)		 Hypercube
6-240 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
7-209 reference(s)		 The random walk of photons escaping the Sun
8-187 reference(s)
The Sierpinski carpet -iteration 1-
9-159 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
10-145 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
11-136 reference(s)		 Autostereogram with an hidden volcano
12-134 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-134 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
14-133 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
15-125 reference(s)		 The Bonan-Jeener-Klein triple bottle
16-121 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-107 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
18-103 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-100 reference(s)		 The random walk of photons escaping the Sun
20-99 reference(s)
Portrait (Lena)-7x7 square-
21-97 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-95 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
23-85 reference(s)		 The generalized Ulam spiral
24-84 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
25-84 reference(s)		 The tridimensional Ising Model with 2-state spins, temperature=0.1 and random initial conditions
26-81 reference(s)		 A 'bidimensional epicycloïdal' pseudo-torus
27-81 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
28-79 reference(s)
Artistic view of the prime numbers
29-79 reference(s)		 The Jeener-Klein triple bottle
30-78 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
31-72 reference(s)		 The bidimensional John Conway's life game
32-72 reference(s)
Sixteen interlaced fractal torus
33-70 reference(s)		 Quantum vacuum fluctuations
34-57 reference(s)		 Autostereogram with an hidden ring and ghost bows
35-55 reference(s)		 Fractal natural form
36-55 reference(s)
Autostereogram with an hidden volcano
37-53 reference(s)		 Autostereogram with an hidden volcano
38-52 reference(s)		 The random walk of photons escaping the Sun
39-50 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-50 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
41-49 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
42-46 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
43-44 reference(s)		 An aperiodic Penrose tiling of the plane
44-44 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
45-44 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
46-42 reference(s)		 Autostereogram with an hidden ring and ghost bows
47-41 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
48-41 reference(s)
Bidimensional geometrical texture animation
49-40 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
50-40 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-
51-40 reference(s)		 From Mars to the Sun
52-40 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
53-39 reference(s)		 A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
54-39 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
55-39 reference(s)		 Tridimensional texture animation by means of the Generalized Product
56-39 reference(s)
Bidimensional texture animation by means of the Generalized Product
57-39 reference(s)		 Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
58-39 reference(s)		 The Möbius strip
59-39 reference(s)		 Tridimensional zoom in on the Mandelbrot set
60-39 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
61-39 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
62-39 reference(s)		 Fractal structure of a nucleon
63-37 reference(s)		 Fractal natural form
64-36 reference(s)
Portrait (Lena)-with a 'OY' symmetry-
65-36 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
66-36 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
67-35 reference(s)		 Quark and gluon structure of a nucleon
68-34 reference(s)
7-foil torus knot on its torus
69-33 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
70-33 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
71-32 reference(s)		 An Archimedes spiral displaying 5000 numbers
72-32 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
73-31 reference(s)		 Autostereogram of Monument Valley
74-31 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
75-31 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
76-31 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
77-30 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
78-30 reference(s)		 Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
79-30 reference(s)		 The first four iterations of the construction of the von Koch snowflake
80-29 reference(s)
True colors autostereogram of a fractal landscape
81-29 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
82-28 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
83-27 reference(s)		 An aperiodic Penrose tiling of the plane
84-27 reference(s)
From 'geocentrism' to 'heliocentrism'
85-27 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
86-26 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
87-26 reference(s)		 A Peano 'fractal plane' defined by means of three bidimensional fields
88-26 reference(s)
Quark and gluon structure of a nucleon
89-26 reference(s)		 The Penrose city
90-25 reference(s)		 Pseudo Olympic Rings
91-25 reference(s)		 An Archimedes spiral displaying 100000 numbers
92-25 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
93-25 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
94-25 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
95-24 reference(s)		 A 'triple stack' of two aperiodic Penrose tilings of the plane
96-24 reference(s)
An Archimedes spiral displaying 10000 numbers
97-24 reference(s)		 An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
98-24 reference(s)		 Tridimensional fractal structure
99-24 reference(s)		 An aperiodic Penrose tiling of the plane
100-23 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
101-23 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
102-23 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
103-22 reference(s)		 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
104-22 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
105-21 reference(s)		 The Syracuse conjecture for U(0)={1,2,3,4,...,256} -monodimensional display-
106-20 reference(s)		 The Sierpinski carpet -iteration 5-
107-20 reference(s)		 The end of the World
108-20 reference(s)
From Pluto to the Sun -extrapolation 1- (non linear scales)
109-20 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
110-20 reference(s)		 A fractal aperiodic Penrose tiling
111-20 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
112-20 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
113-19 reference(s)		 The Menger sponge -iteration 5-
114-19 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
115-19 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
116-19 reference(s)
An aperiodic Penrose tiling of the plane
117-18 reference(s)		 A perfect bidimensional fractal tree and the self-similarity
118-18 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
119-18 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
120-18 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
121-18 reference(s)		 The Klein bottle
122-18 reference(s)		 From Pluto to the Sun -extrapolation 2-
123-18 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)
124-18 reference(s)
A fractal Klein bottle
125-18 reference(s)		 A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
126-18 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
127-18 reference(s)		 The 64 first lines of the Pascal's Triangle -modulo 7-
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
1192 reference(s)		 2-An2000.01.Fra
488 reference(s)
3-Galerie_GeneralitiesVisualization.FV
413 reference(s)		 4-ComplexiteStructurelleClassements.11
378 reference(s)
5-Vcatalogue.11
372 reference(s)		 6-help.
333 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
331 reference(s)		 8-FloatingPointNumbers.01.Ang
317 reference(s)
9-Stereogrammes_AutoStereogrammes.01
315 reference(s)		 10-Galerie_NumberTheory.FV
304 reference(s)
11-Fractal.01
286 reference(s)		 12-FloatingPointNumbers.01.Fra
285 reference(s)
13-RealNumbers.01.Fra
277 reference(s)		 14-AVirtualSpaceTimeTravelMachine.Fra
269 reference(s)
15-MathematiquesPhysiqueFractales.02
267 reference(s)		 16-mail.01.vv
266 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
262 reference(s)		 18-FaireDeLaRecherche.01.vv
260 reference(s)
19-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
259 reference(s)		 20-SurfaceProjector.01.Ang
254 reference(s)
21-Galerie_ArtisticCreation.FV
254 reference(s)		 22-NDimensionalDeterministicFractalSets.01.Fra
250 reference(s)
23-MorePages.
250 reference(s)		 24-GenieLogiciel.01.Fra
246 reference(s)
25-SurfaceProjector.01.Fra
243 reference(s)		 26-GenieLogiciel_VisualisationScientifique.01.vv
243 reference(s)
27-ExpV_VirE.11
243 reference(s)		 28-Galerie_QuantumMechanics.FV
242 reference(s)
29-Galerie_BestOf.FV
240 reference(s)		 30-Galerie_ArtAndScience.FV
239 reference(s)
31-Fractal.11
239 reference(s)		 32-Galerie_NewPictures.FV
236 reference(s)
33-MathematiquesPhysiqueFractales.22
235 reference(s)		 34-GoldenTriangle.01.Fra
235 reference(s)
35-LOG_xiMc.11
234 reference(s)		 36-AProposSite.01.Fra
234 reference(s)
37-copyright.01.
231 reference(s)		 38-Galerie_ParticleSystems.FV
231 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
230 reference(s)		 40-NDimensionalDeterministicFractalSets.01.Ang
227 reference(s)
41-Galerie_DeterministicChaos.FV
219 reference(s)		 42-Kepler.02.
218 reference(s)
43-DieuScience.01.Fra
218 reference(s)		 44-MonodimensionalCellularAutomata.01.Fra
215 reference(s)
45-AnimFractal.01.
215 reference(s)		 46-AQuoiServentLesMathematiques.01
214 reference(s)
47-catalogue.11
213 reference(s)		 48-UlamSpiral.01.Fra
213 reference(s)
49-ImagesDuVirtuel.01.Fra.FV
213 reference(s)		 50-EntrelacsIntertwinings.01.Fra
212 reference(s)
51-Fractal.03
211 reference(s)		 52-Galerie_CelestialMechanics.FV
210 reference(s)
53-EntrelacsIntertwinings.01.Ang
210 reference(s)		 54-OrdinateurMathematiquesArt.01.Fra
209 reference(s)
55-DuModeleALImage.02.Fra
209 reference(s)		 56-Autostereograms.01.
209 reference(s)
57-subject.01.
208 reference(s)		 58-ImpossibleStructures.01.Ang
208 reference(s)
59-MathematiquesModeleOutilArtiste.02.Ang
203 reference(s)		 60-infinity.01.vv
202 reference(s)
61-VirtualChaos.01.Ang
202 reference(s)		 62-OrdinateursEtCalculs.01.Fra
202 reference(s)
63-GoldenTriangle.01.Ang
202 reference(s)		 64-create.03.
201 reference(s)
65-NombresEtLumiere.01.vv.Fra
201 reference(s)		 66-IllusionConnaissance.02
201 reference(s)
67-Galerie_Tributes.FV
201 reference(s)		 68-Galerie_FluidMechanics.FV
201 reference(s)
69-Galerie_Astrophysics.FV
201 reference(s)		 70-ImpossibleStructures.01.Fra
200 reference(s)
71-Galerie_TextureSynthesis.FV
200 reference(s)		 72-ExpV_VirE.Ang
200 reference(s)
73-PerteDeLAssociativite.01
199 reference(s)		 74-MonodimensionalCellularAutomata.01.Ang
199 reference(s)
75-Galerie_SignalProcessing.FV
198 reference(s)		 76-Galerie_SensitivityToRoundingOffErrors.FV
198 reference(s)
77-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
198 reference(s)		 78-MiseEnSceneDesNombres.01.vv.Ang
197 reference(s)
79-NatureDesMathematiques.01.vv.Fra
196 reference(s)		 80-OrdinateursEtCalculs.01.Ang
195 reference(s)
81-LesApprentisDieux.01
194 reference(s)		 82-Informations_GoodNewsAndBadNews.01.Fra
193 reference(s)
83-MiseEnSceneDesNombres.01.vv.Fra
192 reference(s)		 84-Fractal.02
192 reference(s)
85-FaireDesMathematiques.01.Fra
191 reference(s)		 86-ManyChaos.01.Ang
190 reference(s)
87-EnsembleDesGaleries.DIAPO.0001
189 reference(s)		 88-infinity.02.vv
187 reference(s)
89-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
187 reference(s)		 90-Spheres.01
186 reference(s)
91-NombresPremiers_10000.vv
186 reference(s)		 92-MathematiquesEtCinematographe.01.vv
186 reference(s)
93-present.01.
185 reference(s)		 94-VirtualChaos.01.Fra
185 reference(s)
95-MathematiquesLangageDuGrandLivreDeLaNature.12
185 reference(s)		 96-VisualisationRelief.01.vv.Fra
184 reference(s)
97-RasoirDOccamEtMathematiques.01.vv.Fra
184 reference(s)		 98-AvantPropos.01.Fra
184 reference(s)
99-VisitesGaleriesEnfouies.01.Ang
183 reference(s)		 100-RasoirDOccamEtMathematiques.01.vv.Ang
183 reference(s)
101-ManyChaos.01.Fra
183 reference(s)		 102-VisitesGaleriesEnfouies.01.Fra
182 reference(s)
103-PatrimoineHumanite.02.Fra
182 reference(s)		 104-MathematiquesEtRepresentations.01.vv.Ang
182 reference(s)
105-EnsembleDesGaleriesFractales.DIAPO.0001
182 reference(s)		 106-UlamSpiral.01.Ang
181 reference(s)
107-QuelquesQuestionsSurLaRecherche.01.Fra
181 reference(s)		 108-AvantPropos.01.Ang
180 reference(s)
109-RemarquesCerveau.01
178 reference(s)		 110-PerteDeLaDistributivite.01.DIS2
178 reference(s)
111-ExpV_VirE.21
178 reference(s)		 112-demo14
175 reference(s)
113-logiciel
171 reference(s)		 114-demo
171 reference(s)
115-realnumbers
170 reference(s)		 116-demo.14
170 reference(s)
117-genielogiciel
169 reference(s)		 118-nombresreels
168 reference(s)
119-an2000
168 reference(s)		 120-Informations_AboutPicturesAnimationsAndFiles.01.Ang
167 reference(s)
121-Commentaires_Epicycloide.03
167 reference(s)		 122-An2000.02.Fra
163 reference(s)
123-MathematiquesPhysiqueFractales.01
156 reference(s)		 124-ImagesDuVirtuel.01.Fra
156 reference(s)
125-Galerie_ImagesDesMathematiques.FV
152 reference(s)		 126-NombresEtLumiere.02.vv.Ang
147 reference(s)
127-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
146 reference(s)		 128-Commentaires_NKleinBottle.01
144 reference(s)

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




Copyright © Jean-François COLONNA, 2017-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2017-2023.