Monthly Best Of on 08/28/2024




Triple impossible staircase painting a paradoxal structure

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 08/28/2024 and last updated on 10/03/2024 17:04:55 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-433 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-112 reference(s)		The generalized Ulam spiral
3-90 reference(s)		Artistic view of the prime numbers
4-90 reference(s)
The Universe at the heart of a Calabi-Yau manifold
5-86 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
6-86 reference(s)		Autostereogram with an hidden volcano
7-80 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-80 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
9-76 reference(s)		Autostereogram of the CMAP
10-75 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
11-72 reference(s)		The random walk of photons escaping the Sun
12-68 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
13-68 reference(s)		Autostereogram with an hidden volcano
14-66 reference(s)		Hypercube
15-66 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
16-65 reference(s)
Pseudo Olympic Rings
17-64 reference(s)		Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
18-64 reference(s)		A distorded -for the sake of display- 5-cube -an hyperhypercube-
19-64 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
20-63 reference(s)
The K-smooth integers on a generalized Ulam spiral
21-63 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
22-62 reference(s)		An octogonal tiling of the hyperbolic Poincaré disk -iteration 5-
23-59 reference(s)		The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
24-59 reference(s)
An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
25-57 reference(s)		Quark and gluon structure of a nucleon
26-57 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
27-57 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
28-55 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
29-55 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
30-54 reference(s)		Tridimenional display of the Goldbach conjecture
31-54 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
32-54 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-53 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
34-52 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 050330... -12.849 digits, -base 6- into 050330... -12.849 digits, -base 6-
35-52 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
36-52 reference(s)
A pay slip
37-51 reference(s)		An extended Menger Sponge -iteration 5- displaying the 991.818 first digits -base 2- of the Champernowne number (=0.1 10 11 100 101 110 111 1000...)-using all base 2 integer numbers-
38-51 reference(s)		The 32 vertices of a 5-cube
39-51 reference(s)		Happy birthday
40-50 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
41-50 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
42-50 reference(s)		The Goldbach conjecture
43-50 reference(s)		Numerical value table -trigonometric functions-
44-49 reference(s)
An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
45-49 reference(s)		The Lorenz attractor
46-49 reference(s)		Sixteen interlaced fractal torus
47-49 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
48-49 reference(s)
The first four iterations of the construction of the von Koch snowflake
49-48 reference(s)		The 64 first lines of the Pascal's Triangle
50-48 reference(s)		A fractal vegetal structure
51-48 reference(s)		Quark and gluon structure of a nucleon
52-48 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one marsian year -Earth point of view and zoom on the four first planets-
53-48 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
54-48 reference(s)		An extended Menger Sponge -iteration 7- displaying the 211.210.335 first digits -base 2- of 'pi'
55-48 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
56-48 reference(s)
A fractal Möbius strip
57-48 reference(s)		From the infinitely small to the infinitely big
58-48 reference(s)		24 evenly distributed points on a sphere by means of simulated annealing
59-47 reference(s)		Black dots on a square lattice
60-47 reference(s)
An aperiodic Penrose tiling of the plane
61-46 reference(s)		The Mathematics are the key of the Multiverse
62-46 reference(s)		The Ulam spiral displaying 2025 numbers
63-46 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
64-46 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
65-46 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
66-45 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
67-44 reference(s)		An extended Menger Sponge -iteration 5- using the 246.078 first digits -base 2- of a self-portrait
68-44 reference(s)
Larsen effect
69-44 reference(s)		Happy new year 2000
70-44 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
71-44 reference(s)		Cantor's diagonal argument
72-44 reference(s)
Artistic view of the Big Bang
73-43 reference(s)		An aperiodic Penrose tiling of the plane
74-43 reference(s)		Along the border of the Mandelbrot set
75-43 reference(s)		The Sierpinski Carpet -iteration 4-
76-43 reference(s)
A computer room in the eighties -Courtesy of Philippe Lavialle-
77-43 reference(s)		The generalized Ulam spiral displaying 100 numbers
78-43 reference(s)		3-foil torus knot on its torus
79-43 reference(s)		Jean-François COLONNA
80-43 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
81-43 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
82-43 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
83-43 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
84-43 reference(s)
An aperiodic Penrose tiling of the plane
85-42 reference(s)		The Ulam spiral
86-42 reference(s)		A regular 7-gon -an heptagon-
87-42 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
88-42 reference(s)
From Pluto to the Sun (non linear scales)
89-42 reference(s)		Close-up on a foggy 'MandelBox' -tridimensional cross-section-
90-42 reference(s)		Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
91-42 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
92-42 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
93-41 reference(s)		A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps
94-41 reference(s)		Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
95-41 reference(s)		The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
96-41 reference(s)
The Jeener-Klein triple bottle
97-41 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
98-40 reference(s)		Botticelli anomaly on the Moon
99-40 reference(s)		A one sheet hyperboloid of revolution -negative curvature-
100-40 reference(s)
Bidimensional Hilbert Curve -iteration 5-
101-40 reference(s)		A Part of the DNA double helix -a Tribute to Francis Crick, Rosalind Franklin and James Watson-
102-40 reference(s)		Anaglyph -blue=right, red=left- of an hypercube
103-40 reference(s)		The first four iterations of the construction of the von Koch snowflake
104-39 reference(s)
Artistic view of the Big Bang
105-39 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
106-39 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
107-39 reference(s)		The Klein bottle defined by means of three bidimensional fields
108-39 reference(s)
The God Chessboard or the 64 first 'decimals' -base 2- of 'pi' -the first 'decimal' is the bottom left black square-
109-39 reference(s)		Rotation about the Y (vertical)axis of a Jeener-Möbius tridimensional manifold that can also be viewed as a set of 4x3 stereograms
110-39 reference(s)		A Ball described by means of an 'open' 3-foil torus knot -iteration 4-
111-39 reference(s)		Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
112-39 reference(s)
Tridimensional visualization of the ABC conjecture
113-39 reference(s)		Bidimensional cross-sections of the Klein bottle
114-38 reference(s)		Zoom in on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
115-38 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 411678
116-38 reference(s)
Sixteen interlaced fractal torus
117-38 reference(s)		Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
118-38 reference(s)		The Bonan-Jeener-Klein triple bottle
119-38 reference(s)		The construction process of an aperiodic Penrose tiling -3 random subdivision iterations-
120-37 reference(s)
Autostereogram with an hidden ring and ghost bows
121-37 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
122-37 reference(s)		Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz-
123-37 reference(s)		A 'square' spiral
124-37 reference(s)
The Menger Sponge -iteration 5-
125-37 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
126-37 reference(s)		The DNA of Mathematics -the 480 first digits of 'pi' (3,141592...)and '2.pi' (6,283185...)-
127-37 reference(s)		Triple impossible staircase and a paradoxal structure
128-37 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1867 reference(s)		2-Web_Mail.01.vv
147 reference(s)
3-Stereogrammes_AutoStereogrammes.01
114 reference(s)		4-ChatGPT.01.Fra
106 reference(s)
5-Fractal.21
95 reference(s)		6-Vcatalogue.11
93 reference(s)
7-demo_14
91 reference(s)		8-UlamSpiral.01.Fra
80 reference(s)
9-An2000.01.Fra
76 reference(s)		10-IAGenerativesImages.01.Fra
71 reference(s)
11-Galerie_Pi.FV
71 reference(s)		12-help.
67 reference(s)
13-Galerie_ArtisticCreation.FV
65 reference(s)		14-DecimalesDePi.01.Fra
65 reference(s)
15-NombresPremiers_10000.vv
63 reference(s)		16-ImagesDuVirtuel.01.Fra.FV
61 reference(s)
17-DecimalesPi_1_100.vv
60 reference(s)		18-NDimensionalDeterministicFractalSets.01.Ang
58 reference(s)
19-mail.01.vv
56 reference(s)		20-Polynomials_RationalNumbers.01.Fra
56 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
56 reference(s)		22-AProposSite.01.Fra
56 reference(s)
23-Fractal.11
54 reference(s)		24-NDimensionalDeterministicFractalSets.01.Fra
51 reference(s)
25-Galerie_ParticleSystems.FV
51 reference(s)		26-Galerie_NumberTheory.FV
51 reference(s)
27-ExpV_VirE.11
51 reference(s)		28-FloatingPointNumbers.01.Fra
50 reference(s)
29-VAcatalogue.11
49 reference(s)		30-LOG_xiMc.11
47 reference(s)
31-Informations_GoodNewsAndBadNews.01.Fra
47 reference(s)		32-Fractal.01
47 reference(s)
33-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
47 reference(s)		34-catalogue.11
46 reference(s)
35-Galerie_GeneralitiesVisualization.FV
46 reference(s)		36-SurfaceProjector.01.Ang
45 reference(s)
37-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
45 reference(s)		38-GoldenTriangle.01.Fra
45 reference(s)
39-Galerie_ImagesDesMathematiques.FV
45 reference(s)		40-Galerie_DeterministicFractalGeometry.FV
44 reference(s)
41-Informations_AboutPicturesAnimationsAndFiles.01.Ang
43 reference(s)		42-IllusionConnaissance.02
43 reference(s)
43-Kepler.02.
42 reference(s)		44-IAGenerativesImages.01.Ang
42 reference(s)
45-GoldenTriangle.01.Ang
42 reference(s)		46-Galerie_DeterministicChaos.FV
42 reference(s)
47-Fractal.03
42 reference(s)		48-MonodimensionalCellularAutomata.01.Fra
41 reference(s)
49-LesCourbesRemplissantes.02.Fra
41 reference(s)		50-EntrelacsIntertwinings.01.Fra
41 reference(s)
51-Galerie_Astrophysics.FV
40 reference(s)		52-RealNumbers.01.Fra
39 reference(s)
53-MonodimensionalCellularAutomata.01.Ang
39 reference(s)		54-MesExpositionsPassees.01
39 reference(s)
55-LeParadoxeDeFermi.01.Ang
39 reference(s)		56-GenieLogiciel.01.Fra
39 reference(s)
57-Multivers.01.Fra
38 reference(s)		58-MathematiquesPhysiqueFractales.02
38 reference(s)
59-Galerie_QuantumMechanics.FV
38 reference(s)		60-Exposition_EcolePolytechnique_FeteDeLaScience_201910
38 reference(s)
61-present.01.
37 reference(s)		62-fractal.01
37 reference(s)
63-copyright.01.
37 reference(s)		64-NombresEtLumiere.01.vv.Fra
37 reference(s)
65-ImagesEncadreesDisponibles.01
37 reference(s)		66-relai_universel.01.vv
36 reference(s)
67-LesCourbesRemplissantes.02.Ang
36 reference(s)		68-LesCourbesRemplissantes.01.Fra
36 reference(s)
69-Galerie_CelestialMechanics.DIAPO.0001
36 reference(s)		70-Commentaires_DefinitionQuaternions.01
36 reference(s)
71-PerteDeLAssociativite.01
35 reference(s)		72-MathematiquesModeleOutilArtiste.02.Ang
35 reference(s)
73-Galerie_CelestialMechanics.FV
35 reference(s)		74-Exposition_MairieCinquiemeArrondissementParis_202001_202002
35 reference(s)
75-AVirtualSpaceTimeTravelMachine.Fra
35 reference(s)		76-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_13
34 reference(s)
77-subject.01.
34 reference(s)		78-Galerie_NewPictures.FV
34 reference(s)
79-ChatGPT.01.Ang
34 reference(s)		80-RemarquesCerveau.01
33 reference(s)
81-MathematiquesPhysiqueFractales.22
33 reference(s)		82-ImpossibleStructures.01.Fra
33 reference(s)
83-AnimFractal.01.
33 reference(s)		84-UlamSpiral.01.Ang
32 reference(s)
85-LeParadoxeDeFermi.01.Fra
32 reference(s)		86-Autostereograms.01.
32 reference(s)
87-xiirv_____.nota.t.
31 reference(s)		88-LesApprentisDieux.01
31 reference(s)
89-FloatingPointNumbers.01.Ang
31 reference(s)		90-Exposition_OperaDeMassy_201912_202001
31 reference(s)
91-infinity.01.vv
30 reference(s)		92-SurfaceProjector.01.Fra
30 reference(s)
93-Galerie_ImagesDidactiques.FV
30 reference(s)		94-Galerie_BestOf.FV
30 reference(s)
95-Galerie_ArtAndScience.FV
30 reference(s)		96-DieuScience.01.Fra
30 reference(s)
97-Informations_GoodNewsAndBadNews.01.Ang
29 reference(s)		98-EntrelacsIntertwinings.01.Ang
29 reference(s)
99-BEST.20240728
29 reference(s)		100-Pcatalogue.11
28 reference(s)
101-LeNoeudInfini.01.Fra
28 reference(s)		102-EnsembleDesGaleries.DIAPO.0795
28 reference(s)
103-Bard.01.Fra
28 reference(s)		104-ImagesDuVirtuel.01.Fra
27 reference(s)
105-Galerie_SensitivityToRoundingOffErrors.FV
27 reference(s)		106-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
27 reference(s)
107-FaireDesMathematiques.01.Fra
27 reference(s)		108-DieuScience.01.Ang
27 reference(s)
109-Commentaires_EnsembleMandelbrotOctonion.01
27 reference(s)		110-Commentaires_DefinitionPseudoQuaternions.01
27 reference(s)
111-xtKg_____GooF_NDer.11.K.
26 reference(s)		112-demo_14.FV
26 reference(s)
113-create.03.
26 reference(s)		114-MartiensEtMathematiques.01.Ang
26 reference(s)
115-ImpossibleStructures.01.Ang
26 reference(s)		116-Galerie_NewPictures.DIAPO.0040
26 reference(s)
117-Exposition_EcolePolytechnique_AnneeMondialeDeLaPhysique_2005
26 reference(s)		118-Commentaires_EnsembleJuliaQuaternion.01
26 reference(s)
119-ArtScience.01
26 reference(s)		120-infinity.02.vv
25 reference(s)
121-VCcatalogue.11
25 reference(s)		122-SourceExemple_____xrq_____hydrogene.61.K.
25 reference(s)
123-NatureDesMathematiques.01.vv.Fra
25 reference(s)		124-MorePages.Ang.
25 reference(s)
125-Le_Chat.01.Fra
25 reference(s)		126-Le_Chat.01.Ang
25 reference(s)
127-Galerie_SignalProcessing.FV
25 reference(s)		128-Galerie_RCMGalerie.FV
25 reference(s)

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




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