Monthly Best Of on 04/28/2023




A foggy 'MandelBox' -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 04/28/2023 and last updated on 11/14/2023 17:50:36 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-182 reference(s)		 The random walk of photons escaping the Sun
2-94 reference(s)		 Artistic view of the prime numbers
3-87 reference(s)		 Autostereogram with an hidden ring and ghost bows
4-78 reference(s)
From Pluto to the Sun (non linear scales)
5-72 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
6-70 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
7-69 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
8-66 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
9-65 reference(s)		 The generalized Ulam spiral
10-62 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
11-62 reference(s)		 Untitled 0614
12-60 reference(s)
The Universe at the heart of a Calabi-Yau manifold
13-59 reference(s)		 Autostereogram with an hidden volcano
14-59 reference(s)		 The Klein bottle defined by means of three bidimensional fields
15-59 reference(s)		 The Lorenz attractor
16-59 reference(s)
Happy new year 2000
17-59 reference(s)		 The Bonan-Jeener-Klein triple bottle
18-57 reference(s)		 The Sierpinski carpet -iteration 1 to 5-
19-56 reference(s)		 Cantor's diagonal argument
20-55 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
21-54 reference(s)		 Quark and gluon structure of a nucleon
22-53 reference(s)		 Artistic view of the Big Bang
23-52 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
24-52 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5-
25-51 reference(s)		 The Piet Mondrian Hypercube -2D, 3D or 4D?-
26-51 reference(s)		 The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
27-51 reference(s)		 Monument Valley at sunrise
28-50 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
29-50 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
30-50 reference(s)		 Botticelli anomaly on the Moon
31-49 reference(s)		 The Klein bottle described by means of a Bidimensional Hilbert Curve -iteration 7-
32-49 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-49 reference(s)		 An aperiodic Penrose tiling of the plane
34-48 reference(s)		 Along the border of the Mandelbrot set
35-48 reference(s)		 The Ulam spiral displaying 2025 numbers
36-48 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
37-48 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
38-48 reference(s)		 The 64 first lines of the Pascal's Triangle
39-47 reference(s)		 Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
40-47 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
41-47 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
42-47 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
43-46 reference(s)		 Autostereogram with an hidden volcano
44-46 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
45-46 reference(s)		 Mountains and light cloud dynamics -this sequence being periodical-
46-46 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
47-45 reference(s)		 The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
48-45 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
49-45 reference(s)		 Two multiplexed autostereograms by means of a pi/2 rotation
50-44 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
51-44 reference(s)		 A parallelepipedic Torus described by means of an 'open' 3-foil torus knot -iteration 4-
52-44 reference(s)
Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
53-44 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-44 reference(s)		 Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.083.984 galaxies)obtained by means of a non deterministic fractal process
55-44 reference(s)		 Untitled 0616
56-44 reference(s)
Untitled 0613
57-43 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
58-43 reference(s)		 Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
59-43 reference(s)		 The Jeener-Klein triple bottle
60-43 reference(s)
The first four iterations of the construction of the von Koch snowflake
61-41 reference(s)		 Universe or Multiverse -The fractal Universe-?
62-41 reference(s)		 The Menger sponge -iteration 5-
63-41 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
64-41 reference(s)
A 'square' spiral on the Klein bottle
65-41 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
66-40 reference(s)		 Sunny Monument Valley
67-40 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
68-40 reference(s)
The journey of an Earth-like planet (green)in the Solar System
69-40 reference(s)		 The quaternionic Julia set computed with A=(-0.58...,+0.63...,0,0)-tridimensional cross-section-
70-40 reference(s)		 Iterations in the complex plane: the computation of the Mandelbrot set
71-40 reference(s)		 Some of the most beautiful fractal pictures
72-40 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
73-39 reference(s)		 Quantum vacuum fluctuations
74-39 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
75-39 reference(s)		 Bidimensional closed self-avoiding brownian motion on a sphere
76-39 reference(s)
The generalized Ulam spiral
77-39 reference(s)		 Untitled 0320
78-38 reference(s)		 Mountains and fog
79-38 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)
80-38 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
81-38 reference(s)		 Untitled 0611
82-38 reference(s)		 The 64 first lines of the Pascal's Triangle
83-37 reference(s)		 The 'sharp' Golden Triangle
84-37 reference(s)
Untitled 0305
85-37 reference(s)		 An Archimedes spiral displaying 1000 numbers
86-37 reference(s)		 Quark and gluon structure of a nucleon
87-37 reference(s)		 The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
88-37 reference(s)
From Pluto to the Sun -extrapolation 2-
89-37 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
90-37 reference(s)		 The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
91-37 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
92-37 reference(s)
Close-up on a foggy 'MandelBox' -tridimensional cross-section-
93-37 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a 0 to pi rotation about the X axis -tridimensional cross-section-
94-37 reference(s)		 The Continuum Hypothesis (CH)
95-37 reference(s)		 A Jeener-Möbius Tridimensional manifold described by means of an 'open' 3-foil torus knot -iteration 4-
96-37 reference(s)
5x5 various bidimensional closed self-avoiding brownian motions on a tridimensional representation of a quadridimensional Calabi-Yau manifold
97-37 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
98-37 reference(s)		 A 'square' spiral on the Bonan-Jeener-Klein triple bottle
99-37 reference(s)		 display of Ph(Zeta)inside [-50.0,+50.0]x[-50.0,+50.0]
100-36 reference(s)
Bidimensional closed pseudo-self-avoiding brownian motion on the Boy surface
101-36 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
102-36 reference(s)		 The Lorenz attractor
103-36 reference(s)		 Untitled 0612
104-36 reference(s)
A shell (Jeener surface 1)in motion
105-36 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
106-36 reference(s)		 Bidimensional closed pseudo-self-avoiding brownian motion on the Klein bottle
107-36 reference(s)		 The random walk of photons escaping the Sun
108-35 reference(s)
A 'square' spiral on the Boy surface
109-35 reference(s)		 Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
110-35 reference(s)		 A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) -tridimensional cross-section-
111-35 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
112-35 reference(s)
Tridimensional representation of an hexadecadimensional Calabi-Yau manifold with pseudo-random projection
113-35 reference(s)		 Tridimensional representation of an octodimensional Calabi-Yau manifold with pseudo-random projection
114-35 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
115-35 reference(s)		 Tridimensional visualization of the ABC conjecture
116-35 reference(s)
Bidimensional closed pseudo-self-avoiding brownian motion on the Bonan-Jeener-Klein triple bottle
117-35 reference(s)		 The Syracuse conjecture for U(0)={5,6,7,8,...,68} -'pseudo-ramdom walk' display: 'The Syracuse Sun'-
118-34 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on a circle -very bad point of view-
119-34 reference(s)		 Mountains at sunrise
120-34 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
121-34 reference(s)		 The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
122-34 reference(s)		 An amazing cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
123-34 reference(s)		 Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
124-34 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
125-34 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
126-34 reference(s)		 1-foil torus knot -obvious knot- on its torus and its asociated Möbius strip
127-34 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
128-34 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
5134 reference(s)		 2-Informations_AboutPicturesAnimationsAndFiles.01.Ang
5007 reference(s)
3-Vcatalogue.11
338 reference(s)		 4-An2000.01.Fra
324 reference(s)
5-copyright.01.
288 reference(s)		 6-Galerie_ArtisticCreation.FV
288 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
281 reference(s)		 8-mail.01.vv
272 reference(s)
9-help.
270 reference(s)		 10-Galerie_GeneralitiesVisualization.FV
203 reference(s)
11-demo_14
198 reference(s)		 12-Commentaires_DefinitionQuaternions.01
180 reference(s)
13-Commentaires_DefinitionPseudoQuaternions.01
172 reference(s)		 14-Commentaires_EnsembleJuliaQuaternion.01
165 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
159 reference(s)		 16-Galerie_ImagesDesMathematiques.FV
122 reference(s)
17-SurfaceProjector.01.Ang
103 reference(s)		 18-Stereogrammes_AutoStereogrammes.01
98 reference(s)
19-UlamSpiral.01.Fra
85 reference(s)		 20-Web_Mail.01.vv
84 reference(s)
21-NDimensionalDeterministicFractalSets.01.Fra
83 reference(s)		 22-Galerie_AnthropomorphicPatterns.FV
77 reference(s)
23-Informations_AboutPicturesAnimationsAndFiles.01.Fra
74 reference(s)		 24-Fractal.11
74 reference(s)
25-Fractal.01
73 reference(s)		 26-GenieLogiciel_VisualisationScientifique.01.vv
72 reference(s)
27-MonodimensionalCellularAutomata.01.Fra
64 reference(s)		 28-Galerie_ParticleSystems.FV
64 reference(s)
29-SurfaceProjector.01.Fra
63 reference(s)		 30-Fractal.21
61 reference(s)
31-Informations_GoodNewsAndBadNews.01.Fra
60 reference(s)		 32-GoldenTriangle.01.Fra
60 reference(s)
33-xiirc_____.nota.t.
59 reference(s)		 34-infinity.01.vv
57 reference(s)
35-Galerie_NumberTheory.FV
57 reference(s)		 36-Fractal.03
56 reference(s)
37-NDimensionalDeterministicFractalSets.01.Ang
55 reference(s)		 38-DecimalesPi_1_100.vv
55 reference(s)
39-AProposSite.01.Fra
53 reference(s)		 40-LOG_xiMc.11
52 reference(s)
41-AnimFractal.01.
51 reference(s)		 42-Galerie_TextureSynthesis.FV
50 reference(s)
43-FloatingPointNumbers.01.Fra
50 reference(s)		 44-Galerie_NewPictures.FV
49 reference(s)
45-EntrelacsIntertwinings.01.Ang
48 reference(s)		 46-present.01.
47 reference(s)
47-Galerie_QuantumMechanics.FV
47 reference(s)		 48-Pcatalogue.11
45 reference(s)
49-Informations_GoodNewsAndBadNews.01.Ang
45 reference(s)		 50-Commentaires_DefinitionPseudoOctonions.01
45 reference(s)
51-Exposition_EcolePolytechnique_FeteDeLaScience_201910
44 reference(s)		 52-EntrelacsIntertwinings.01.Fra
43 reference(s)
53-Commentaires_EnsembleMandelbrotQuaternion.01
43 reference(s)		 54-GoldenTriangle.01.Ang
42 reference(s)
55-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
42 reference(s)		 56-Galerie_ArtAndScience.FV
41 reference(s)
57-BEST.20170828
41 reference(s)		 58-xiirs_____.nota.t.
40 reference(s)
59-subject.01.
40 reference(s)		 60-relai_universel.01.vv
40 reference(s)
61-PerteDeLAssociativite.01
40 reference(s)		 62-AVirtualSpaceTimeTravelMachine.Fra
40 reference(s)
63-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
39 reference(s)		 64-GenieLogiciel.01.Fra
39 reference(s)
65-MathematiquesPhysiqueFractales.02
38 reference(s)		 66-ManyChaos.01.Ang
38 reference(s)
67-LesCourbesRemplissantes.01.Fra
38 reference(s)		 68-Galerie_ImagesDidactiques.FV
38 reference(s)
69-Galerie_CelestialMechanics.FV
38 reference(s)		 70-DieuScience.01.Fra
38 reference(s)
71-xiirv_____.nota.t.
37 reference(s)		 72-MonodimensionalCellularAutomata.01.Ang
37 reference(s)
73-BEST.20150828
37 reference(s)		 74-MathematiquesPhysiqueFractales.12
36 reference(s)
75-IllusionConnaissance.02
36 reference(s)		 76-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_1
35 reference(s)
77-UlamSpiral.01.Ang
35 reference(s)		 78-LeNoeudInfini.01.Fra
35 reference(s)
79-Kepler.02.
35 reference(s)		 80-Galerie_SensitivityToRoundingOffErrors.FV
35 reference(s)
81-Galerie_FluidMechanics.FV
35 reference(s)		 82-Galerie_DeterministicChaos.FV
35 reference(s)
83-Galerie_BestOf.FV
35 reference(s)		 84-Autostereograms.01.
35 reference(s)
85-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_4
34 reference(s)		 86-RasoirDOccamEtMathematiques.01.vv.Fra
34 reference(s)
87-OrdinateurMathematiquesArt.01.Fra
34 reference(s)		 88-NatureDesMathematiques.01.vv.Fra
34 reference(s)
89-LeParadoxeDeFermi.01.Fra
34 reference(s)		 90-Galerie_Tributes.FV
34 reference(s)
91-Galerie_SignalProcessing.FV
34 reference(s)		 92-ExpV_VirE.11
34 reference(s)
93-catalogue.11
33 reference(s)		 94-RealNumbers.01.Fra
33 reference(s)
95-FloatingPointNumbers.01.Ang
33 reference(s)		 96-Commentaires_RacinesNIemesUniteComplexes.01
33 reference(s)
97-Commentaires_DefinitionOctonions.01
33 reference(s)		 98-create.03.
32 reference(s)
99-RemarquesCerveau.01
32 reference(s)		 100-Polynomials_RationalNumbers.01.Fra
32 reference(s)
101-Polynomials_RationalNumbers.01.Ang
32 reference(s)		 102-Galerie_Astrophysics.FV
32 reference(s)
103-DuModeleALImage.02.Fra
32 reference(s)		 104-infinity.02.vv
31 reference(s)
105-VisitesGaleriesEnfouies.01.Ang
31 reference(s)		 106-VAcatalogue.11
31 reference(s)
107-OrdinateursEtCalculs.01.Ang
31 reference(s)		 108-NombresEtLumiere.01.vv.Fra
31 reference(s)
109-MorePages.Ang.
31 reference(s)		 110-ManyChaos.01.Fra
31 reference(s)
111-LesCourbesRemplissantes.01.Ang
31 reference(s)		 112-ImagesDuVirtuel.01.Fra.FV
31 reference(s)
113-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
31 reference(s)		 114-xtc_____ParadoxeSimpson.15.vv.c.
30 reference(s)
115-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_6
30 reference(s)		 116-VirtualChaos.01.Fra
30 reference(s)
117-RasoirDOccamEtMathematiques.01.vv.Ang
30 reference(s)		 118-PatrimoineHumanite.02.Fra
30 reference(s)
119-MathematiquesPhysiqueFractales.22
30 reference(s)		 120-ImagesEncadreesDisponibles.01
30 reference(s)
121-Galerie_SelfPortraits.FV
30 reference(s)		 122-DecimalesDePi.01.Fra
30 reference(s)
123-Commentaires_VarieteHexaDecaDimensionnelleCalabiYau.01
30 reference(s)		 124-xtc_____nCube.22.c.
29 reference(s)
125-VirtualChaos.01.Ang
29 reference(s)		 126-SourceExemple_____xrq_____hydrogene.61.K.
29 reference(s)
127-OrdinateursEtCalculs.01.Fra
29 reference(s)		 128-Multivers.01.Fra
29 reference(s)

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