Monthly Best Of on 01/28/2022




Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-

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 Hilbert Curve -iterations 1 to 3-
1-97 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-69 reference(s)		Autostereogram with an hidden volcano
3-65 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
4-64 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
5-57 reference(s)		A tridimensional field
6-56 reference(s)		Artistic view of the prime numbers
7-56 reference(s)		The mask (1980)
8-55 reference(s)
Un Système Multimedia Conversationnel, zéro.un.informatique, 10/1977, page 27
9-55 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-51 reference(s)		The Universe at the heart of a Calabi-Yau manifold
11-48 reference(s)		Happy new year 2000
12-43 reference(s)
Self-similar zoom in on tridimensional fractal structure
13-42 reference(s)		Autostereogram with an hidden volcano
14-41 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-40 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-38 reference(s)
The random walk of photons escaping the Sun
17-35 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
18-33 reference(s)		Autostereogram with an hidden ring and ghost bows
19-30 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
20-26 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
21-26 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-26 reference(s)		An aperiodic Penrose tiling of the plane
23-25 reference(s)		Untitled 0004
24-25 reference(s)
Quantum vacuum fluctuations
25-24 reference(s)		Impressionist tridimensional self-Portrait
26-24 reference(s)		A punched paper tape
27-23 reference(s)		Pseudo Olympic Rings
28-22 reference(s)
Happy new year 2000
29-22 reference(s)		The first four iterations of the construction of the von Koch snowflake
30-21 reference(s)		The random walk of photons escaping the Sun
31-21 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
32-21 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
33-21 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
34-20 reference(s)		An aperiodic Penrose tiling of the plane
35-20 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
36-20 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
37-19 reference(s)		The Lorenz attractor
38-19 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
39-19 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
40-19 reference(s)
Autostereogram with an hidden volcano
41-18 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
42-18 reference(s)		An arbitrary surface (Jeener surface 2)in motion
43-18 reference(s)		Jigsaw puzzle with a self-Portrait
44-18 reference(s)
The Jeener-Klein triple bottle
45-18 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
46-18 reference(s)		An aperiodic Penrose tiling of the plane
47-17 reference(s)		Autostereogram with an hidden volcano
48-17 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
49-17 reference(s)		True colors autostereogram of a fractal landscape
50-17 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
51-17 reference(s)		The Bonan-Jeener-Klein triple bottle
52-17 reference(s)
The Boy surface
53-16 reference(s)		A tridimensional pseudo-random walk defined by means of the 8.188 first prime numbers starting at 11 computed modulo 7 minus 1: 352410... -8.188 digits, -base 6- into 352410... -8.188 digits, -base 6-
54-16 reference(s)		The generalized Ulam spiral displaying 100 numbers
55-16 reference(s)		A variable Archimedes spiral displaying 1000 numbers
56-16 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
57-15 reference(s)		An aperiodic Penrose tiling of the plane
58-15 reference(s)		An aperiodic Penrose tiling of the plane
59-15 reference(s)		The Mathematics are the key of the Multiverse
60-15 reference(s)
The generalized Ulam spiral
61-15 reference(s)		The Menger Sponge -iteration 5-
62-15 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
63-15 reference(s)		Black dots on a square lattice
64-15 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
65-15 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
66-15 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
67-15 reference(s)		An aperiodic Penrose tiling of the plane
68-14 reference(s)
Along the border of the Mandelbrot set
69-14 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
70-14 reference(s)		Autostereogram with an hidden ring and ghost bows
71-14 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
72-14 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
73-14 reference(s)		The Scream -a Tribute to Edvard Munch-
74-14 reference(s)		Color palette 'gris.73'
75-14 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
76-14 reference(s)
The Jeener flower
77-14 reference(s)		From a sphere to the Boy surface
78-14 reference(s)		The Jeener-Klein triple bottle
79-14 reference(s)		Tridimensional self-Portrait -a Tribute to Victor Vasarely-
80-13 reference(s)
Untitled 0382
81-13 reference(s)		Artistic view of the Big Bang
82-13 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
83-13 reference(s)		Intertwining
84-13 reference(s)
Autostereogram of the CMAP
85-13 reference(s)		The Sierpinski Carpet -iteration 3-
86-13 reference(s)		Fractal natural form
87-13 reference(s)		The Klein bottle defined by means of three bidimensional fields
88-13 reference(s)
Sunny Monument Valley
89-13 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
90-13 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
91-13 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 slightly different sets of initial conditions (sensitivity to initial conditions)
92-13 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
93-13 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
94-13 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
95-13 reference(s)		The Birth of the Universe
96-13 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
97-13 reference(s)		Bidimensional Hilbert Curve -iteration 5-
98-13 reference(s)		Sixteen interlaced fractal torus
99-13 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
100-13 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
101-13 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
102-13 reference(s)		The Klein bottle
103-13 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
104-12 reference(s)
The construction process of the von Koch curve -iteration 1: an equilateral triangle-
105-12 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the Golden Decagon
106-12 reference(s)		A perfect bidimensional fractal tree and the self-similarity
107-12 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
108-12 reference(s)
Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
109-12 reference(s)		The construction process of the Sierpinski Carpet
110-12 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
111-12 reference(s)		A tridimensional pseudo-random walk defined by means of the 8.188 first prime numbers starting at 11 computed modulo 7 minus 1: 352410... -8.188 digits, -base 6- into 352410... -8.188 digits, -base 6- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
112-12 reference(s)
The Ulam spiral
113-12 reference(s)		The generalized Ulam spiral displaying 1024 numbers
114-12 reference(s)		How to compute 'pi' with a gun
115-12 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)
116-12 reference(s)
Tridimensional Hilbert Curve -iteration 3-
117-12 reference(s)		Anaglyph -blue=right, red=left- of an hypercube
118-12 reference(s)		A fractal Möbius strip
119-12 reference(s)		Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
120-12 reference(s)
A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
121-12 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
122-12 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
123-12 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
124-12 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
125-12 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
126-12 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
127-12 reference(s)		Vibrations 0002
128-11 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
629 reference(s)		2-Vcatalogue.11
526 reference(s)
3-An2000.01.Fra
496 reference(s)		4-demo_14
326 reference(s)
5-help.
313 reference(s)		6-mail.01.vv
294 reference(s)
7-copyright.01.
279 reference(s)		8-Galerie_NumberTheory.FV
277 reference(s)
9-Galerie_ArtisticCreation.FV
243 reference(s)		10-Galerie_GeneralitiesVisualization.FV
234 reference(s)
11-Informations_AboutPicturesAnimationsAndFiles.01.Ang
233 reference(s)		12-An2000.01.Ang
212 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
207 reference(s)		14-Galerie_ParticleSystems.FV
189 reference(s)
15-FloatingPointNumbers.01.Fra
187 reference(s)		16-AVirtualSpaceTimeTravelMachine.Fra
181 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
179 reference(s)		18-LOG_xiMc.11
170 reference(s)
19-Galerie_ArtAndScience.FV
166 reference(s)		20-SurfaceProjector.01.Fra
163 reference(s)
21-Stereogrammes_AutoStereogrammes.01
156 reference(s)		22-Galerie_CelestialMechanics.FV
152 reference(s)
23-Autostereograms.01.
150 reference(s)		24-MorePages.Ang.
149 reference(s)
25-Fractal.11
148 reference(s)		26-SurfaceProjector.01.Ang
147 reference(s)
27-Fractal.01
147 reference(s)		28-ExpV_VirE.11
145 reference(s)
29-Kepler.02.
142 reference(s)		30-GoldenTriangle.01.Fra
142 reference(s)
31-Galerie_NewPictures.FV
141 reference(s)		32-Galerie_QuantumMechanics.FV
139 reference(s)
33-GenieLogiciel_VisualisationScientifique.01.vv
138 reference(s)		34-Galerie_TextureSynthesis.FV
137 reference(s)
35-Galerie_ImagesDesMathematiques.FV
135 reference(s)		36-AProposSite.01.Fra
133 reference(s)
37-catalogue.11
131 reference(s)		38-Galerie_DeterministicChaos.FV
131 reference(s)
39-Galerie_SensitivityToRoundingOffErrors.FV
130 reference(s)		40-AnimFractal.01.
130 reference(s)
41-Galerie_ImagesDidactiques.FV
129 reference(s)		42-Fractal.21
129 reference(s)
43-Galerie_Astrophysics.FV
128 reference(s)		44-present.01.
127 reference(s)
45-Galerie_Tributes.FV
124 reference(s)		46-NatureDesMathematiques.01.vv.Fra
123 reference(s)
47-ImagesDuVirtuel.01.Fra.FV
123 reference(s)		48-OrdinateursEtCalculs.01.Ang
121 reference(s)
49-Galerie_SignalProcessing.FV
120 reference(s)		50-UlamSpiral.01.Fra
119 reference(s)
51-NDimensionalDeterministicFractalSets.01.Fra
119 reference(s)		52-Galerie_FluidMechanics.FV
119 reference(s)
53-MathematiquesPhysiqueFractales.02
118 reference(s)		54-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
117 reference(s)
55-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
117 reference(s)		56-DecimalesPi_1_100.vv
116 reference(s)
57-Commentaires_NKleinBottle.01
116 reference(s)		58-create.03.
114 reference(s)
59-MonodimensionalCellularAutomata.01.Fra
114 reference(s)		60-FloatingPointNumbers.01.Ang
114 reference(s)
61-EntrelacsIntertwinings.01.Ang
113 reference(s)		62-infinity.01.vv
112 reference(s)
63-DieuScience.01.Fra
112 reference(s)		64-Web_Mail.01.vv
111 reference(s)
65-Informations_GoodNewsAndBadNews.01.Fra
111 reference(s)		66-Commentaires_EnsembleJuliaOctonion.01
110 reference(s)
67-Commentaires_DefinitionPseudoOctonions.01
110 reference(s)		68-VirtualChaos.01.Fra
109 reference(s)
69-BEST.20141228
107 reference(s)		70-ImagesDuVirtuel.01.Fra
106 reference(s)
71-Galerie_BestOf.FV
106 reference(s)		72-ArtEtMathematiques.01
106 reference(s)
73-subject.01.
105 reference(s)		74-MonodimensionalCellularAutomata.01.Ang
105 reference(s)
75-MathematiquesPhysiqueFractales.12
105 reference(s)		76-GenieLogiciel.01.Fra
105 reference(s)
77-LesApprentisDieux.01
104 reference(s)		78-NombresEtLumiere.01.vv.Fra
103 reference(s)
79-LeParadoxeDeFermi.01.Fra
102 reference(s)		80-Galerie_AnthropomorphicPatterns.FV
102 reference(s)
81-FaireDeLaRecherche.01.vv
102 reference(s)		82-MorePages.Fra.
101 reference(s)
83-ImpossibleStructures.01.Ang
101 reference(s)		84-Fractal.03
101 reference(s)
85-DieuScience.01.Ang
101 reference(s)		86-NDimensionalDeterministicFractalSets.01.Ang
100 reference(s)
87-Exposition_EcolePolytechnique_FeteDeLaScience_201910
100 reference(s)		88-ExpV_VirE.Fra
100 reference(s)
89-DecimalesDePi.01.Fra
100 reference(s)		90-LeParadoxeDeFermi.01.Ang
99 reference(s)
91-ImagesEncadreesDisponibles.01
99 reference(s)		92-Galerie_ArtisticCreation.DIAPO.0150
99 reference(s)
93-Polynomials_RationalNumbers.01.Fra
98 reference(s)		94-GoldenTriangle.01.Ang
98 reference(s)
95-FaireDesMathematiques.01.Fra
98 reference(s)		96-Commentaires_DefinitionPseudoQuaternions.01
98 reference(s)
97-PerteDeLAssociativite.01
97 reference(s)		98-Informations_AboutPicturesAnimationsAndFiles.01.Fra
97 reference(s)
99-ImpossibleStructures.01.Fra
97 reference(s)		100-SourceExemple_____xrq_____hydrogene.61.K.
96 reference(s)
101-MathematiquesPhysiqueFractales.22
96 reference(s)		102-RemarquesCerveau.01
95 reference(s)
103-ManyChaos.01.Fra
95 reference(s)		104-VisitesGaleriesEnfouies.01.Fra
94 reference(s)
105-Pcatalogue.11
94 reference(s)		106-UlamSpiral.01.Ang
93 reference(s)
107-Spheres.01
93 reference(s)		108-RealNumbers.01.Fra
93 reference(s)
109-QuelquesQuestionsSurLaRecherche.01.Fra
93 reference(s)		110-ManyChaos.01.Ang
93 reference(s)
111-IllusionConnaissance.02
93 reference(s)		112-EntrelacsIntertwinings.01.Fra
93 reference(s)
113-VisualisationRelief.01.vv.Fra
92 reference(s)		114-RasoirDOccamEtMathematiques.01.vv.Fra
92 reference(s)
115-Commentaires_KleinBottle.01
92 reference(s)		116-NombresPremiers_10000.vv
91 reference(s)
117-MathematiquesEtCinematographe.01.vv
91 reference(s)		118-DecimalesPi_100000.vv
91 reference(s)
119-Commentaires_DefinitionOctonions.01
91 reference(s)		120-ArtScience.01
91 reference(s)
121-VisitesGaleriesEnfouies.01.Ang
90 reference(s)		122-OrdinateurMathematiquesArt.01.Fra
90 reference(s)
123-MiseEnSceneDesNombres.01.vv.Fra
90 reference(s)		124-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
90 reference(s)
125-AQuoiServentLesMathematiques.01
90 reference(s)		126-infinity.02.vv
89 reference(s)
127-MathematiquesLangageDuGrandLivreDeLaNature.12
89 reference(s)		128-Informations_GoodNewsAndBadNews.01.Ang
89 reference(s)

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




Copyright © Jean-François COLONNA, 2022-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2022-2024.