Monthly Best Of on 03/28/2024




Fractal 7-foil torus knot

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 03/28/2024 and last updated on 03/29/2024 17:41:46 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-585 reference(s)		 The first four iterations of the construction of the von Koch snowflake
2-107 reference(s)		 Autostereogram with an hidden volcano
3-104 reference(s)		 Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
4-99 reference(s)
display of 'pi' with 1.000 digits -base 10- on an helix -good point of view-
5-89 reference(s)		 Artistic view of the prime numbers
6-88 reference(s)		 display of 'pi' with 100 digits {3.14...} on an helix -grey-
7-84 reference(s)		 A distorded -for the sake of display- 5-cube -an hyperhypercube-
8-83 reference(s)
Autostereogram with an hidden volcano
9-81 reference(s)		 The generalized Ulam spiral
10-78 reference(s)		 Tridimensional display of an Archimedes spiral displaying 'pi' with 1000 digits -base 10-
11-75 reference(s)		 The random walk of photons escaping the Sun
12-71 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 100 digits -base 10-
13-69 reference(s)		 display of 'pi' with 128.508 digits -base 6- as an 'absolute' tridimensional random walk
14-68 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
15-65 reference(s)		 The Goldbach conjecture
16-65 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
17-60 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-60 reference(s)		 Hypercube
19-59 reference(s)		 A 4-cube -an hypercube-
20-59 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
21-58 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
22-58 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
23-56 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
24-56 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 1000 digits -base 10-
25-56 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
26-56 reference(s)		 The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
27-56 reference(s)		 Quark and gluon structure of a nucleon
28-55 reference(s)
From Pluto to the Sun (non linear scales)
29-52 reference(s)		 Autostereogram of the CMAP
30-51 reference(s)		 Tridimensional display -bird's-eye view- of a spiral displaying 'pi' with 2000 digits -base 10-
31-51 reference(s)		 Artistic views of the 100.000 first digits -base 10- of 'pi'
32-51 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
33-50 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
34-48 reference(s)		 The Library of Babel in the style of God -Courtesy of 'www.bing.com'-
35-47 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
36-47 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
37-47 reference(s)		 A fractal vegetal structure -'the Knowledge Tree'-
38-46 reference(s)		 The Lorenz attractor
39-46 reference(s)		 Happy new year 2000
40-46 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
41-45 reference(s)		 The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)
42-45 reference(s)		 Tridimensional display of a spiral displaying 'pi' with 2000 digits -base 10-
43-45 reference(s)		 Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
44-44 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
45-44 reference(s)		 Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
46-44 reference(s)		 The first four iterations of the construction of the von Koch snowflake
47-43 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
48-43 reference(s)
The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles
49-43 reference(s)		 Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
50-43 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
51-43 reference(s)		 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
52-42 reference(s)
A fractal vegetal structure
53-41 reference(s)		 The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
54-41 reference(s)		 A regular 8-gon -an octogon-
55-41 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-
56-41 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
57-41 reference(s)		 A close-up of the 'EinStein' aperiodic 'Spectre' tiling
58-40 reference(s)		 Tridimensional display -bird's-eye view- of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
59-40 reference(s)		 An Archimedes spiral displaying 'pi' with 50 digits -base 10-
60-40 reference(s)
The 2.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 4 and displayed as an 'absolute' tridimensional random walk -3.289 steps-
61-40 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
62-40 reference(s)		 Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
63-40 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
64-39 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
65-39 reference(s)		 The 64 first lines of the Pascal's Triangle
66-39 reference(s)		 An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
67-39 reference(s)		 The construction process of the Sierpinski Carpet
68-39 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
69-39 reference(s)		 A full-random extended Menger Sponge -iteration 5-
70-39 reference(s)		 The alternative use of two elementary monodimensional binary cellular automata -168,165- with 1 white starting point -bottom middle-
71-39 reference(s)		 The 64 first lines of the Pascal's Triangle
72-38 reference(s)
An aperiodic Penrose tiling of the plane
73-38 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-
74-38 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
75-38 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
76-38 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
77-38 reference(s)		 The Ptolemaic system -without equant- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-
78-38 reference(s)		 An arbitrary surface (Jeener surface 2)
79-37 reference(s)		 The Menger Sponge -iteration 5-
80-37 reference(s)
Simple random triangulation of the surface of a torus -18x18-
81-37 reference(s)		 A Tribute to Benoît Mandelbrot (1924-2010): tridimensional zoom in on the Mandelbrot set with mapping of the arguments
82-37 reference(s)		 Tridimensional visualization of the Verhulst dynamics with a Q^2conformal transformation in the pseudo-quaternionic space
83-37 reference(s)		 A set of 4x3 stereograms of a fractal Möbius strip
84-37 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
85-37 reference(s)		 The Bonan-Jeener-Klein triple bottle
86-37 reference(s)		 Pseudo Olympic Rings
87-36 reference(s)		 An amazing cross-section inside the Menger Sponge -iteration 5-
88-36 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
89-36 reference(s)		 Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
90-36 reference(s)		 Exhibition at La Cité des Sciences et de l'Industrie -2000-
91-36 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
92-36 reference(s)
Along the border of the Mandelbrot set
93-35 reference(s)		 A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling
94-35 reference(s)		 The generalized Ulam spiral displaying 100 numbers
95-35 reference(s)		 Artistic view of the 100.000 first digits -base 10- of 'pi'
96-35 reference(s)
Rotation about the X axis of the 32 vertices of a 5-cube
97-35 reference(s)		 Larsen effect
98-35 reference(s)		 Two intricated random labyrinths -the wide one and the narrow one-
99-35 reference(s)		 Happy new year 2000
100-35 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
101-35 reference(s)		 Anaglyph -blue=right, red=left- of a tridimensional fractal structure
102-35 reference(s)		 The definition of a monodimensional 'quasi-continuous' cellular automata
103-35 reference(s)		 Autostereogram with an hidden volcano
104-34 reference(s)
The random walk of photons escaping the Sun
105-34 reference(s)		 Rotation about X and Y axes of the Boy surface
106-34 reference(s)		 Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
107-34 reference(s)		 Bidimensional localization of a point P its distances to the three vertices of a triangle ABC being known, the four points being coplanar
108-34 reference(s)
Anaglyph -blue=right, red=left- of a tridimensional fractal cross -iteration 4-
109-34 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
110-34 reference(s)		 The Bonan-Jeener double bottle
111-34 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
112-34 reference(s)
A periodical structure
113-33 reference(s)		 Autostereogram with an hidden ring and ghost bows
114-33 reference(s)		 8 evenly distributed points on a sphere by means of simulated annealing
115-33 reference(s)		 Bidimensional cross-sections of the Klein bottle
116-33 reference(s)
Tridimensional artistic view of 'pi'
117-33 reference(s)		 Monument Valley at sunrise
118-33 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-
119-33 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
120-33 reference(s)
From the infinitely small to the infinitely big
121-33 reference(s)		 The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
122-33 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
123-33 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
124-33 reference(s)
Bidimensional brownian motion
125-33 reference(s)		 An elementary monodimensional binary cellular automaton -86- with 1 white starting point -bottom middle-
126-33 reference(s)		 Artistic view of the Big Bang
127-32 reference(s)		 Bidimensional rectangular billiard with 64 isotropic particles and without collisions
128-32 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1622 reference(s)		 2-Web_Mail.01.vv
127 reference(s)
3-demo_14
124 reference(s)		 4-BEST.20070728
105 reference(s)
5-Stereogrammes_AutoStereogrammes.01
92 reference(s)		 6-IAGenerativesImages.01.Fra
88 reference(s)
7-catalogue.11
74 reference(s)		 8-LOG_xiMc.11
63 reference(s)
9-Vcatalogue.11
62 reference(s)		 10-mail.01.vv
61 reference(s)
11-An2000.01.Fra
60 reference(s)		 12-NombresEtLumiere.01.vv.Fra
59 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
57 reference(s)		 14-AProposSite.01.Fra
56 reference(s)
15-help.
55 reference(s)		 16-Pcatalogue.11
54 reference(s)
17-ChatGPT.01.Fra
53 reference(s)		 18-EntrelacsIntertwinings.01.Fra
51 reference(s)
19-Informations_GoodNewsAndBadNews.01.Fra
48 reference(s)		 20-Informations_AboutPicturesAnimationsAndFiles.01.Ang
48 reference(s)
21-MonodimensionalCellularAutomata.01.Fra
43 reference(s)		 22-subject.01.
41 reference(s)
23-copyright.01.
41 reference(s)		 24-UlamSpiral.01.Fra
41 reference(s)
25-Polynomials_RationalNumbers.01.Fra
39 reference(s)		 26-IAGenerativesImages.01.Ang
39 reference(s)
27-Fractal.11
39 reference(s)		 28-MathematiquesPhysiqueFractales.12
38 reference(s)
29-GoldenTriangle.01.Ang
38 reference(s)		 30-DecimalesPi_1_100.vv
38 reference(s)
31-NatureDesMathematiques.01.vv.Fra
37 reference(s)		 32-Fractal.01
37 reference(s)
33-FloatingPointNumbers.01.Fra
37 reference(s)		 34-NombresPremiers_10000.vv
36 reference(s)
35-Le_Chat.01.Fra
36 reference(s)		 36-Kepler.02.
36 reference(s)
37-GoldenTriangle.01.Fra
36 reference(s)		 38-Galerie_NumberTheory.FV
35 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
35 reference(s)		 40-IllusionConnaissance.02
34 reference(s)
41-Galerie_GeneralitiesVisualization.FV
34 reference(s)		 42-Galerie_BestOf.FV
34 reference(s)
43-Galerie_ArtisticCreation.FV
34 reference(s)		 44-LesCourbesRemplissantes.02.Fra
33 reference(s)
45-Le_Chat.01.Ang
33 reference(s)		 46-ExpV_VirE.11
33 reference(s)
47-DecimalesPi_100000.vv
33 reference(s)		 48-Bard.01.Fra
33 reference(s)
49-relai_universel.01.vv
32 reference(s)		 50-UlamSpiral.01.Ang
32 reference(s)
51-OrdinateursEtCalculs.01.Fra
32 reference(s)		 52-Fractal.21
32 reference(s)
53-FloatingPointNumbers.01.Ang
32 reference(s)		 54-DecimalesDePi.01.Fra
32 reference(s)
55-Informations_GoodNewsAndBadNews.01.Ang
31 reference(s)		 56-Galerie_ArtAndScience.FV
31 reference(s)
57-GenieLogiciel.01.Fra
30 reference(s)		 58-PatrimoineHumanite.02.Fra
29 reference(s)
59-Multivers.01.Fra
29 reference(s)		 60-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
28 reference(s)
61-LeParadoxeDeFermi.01.Ang
28 reference(s)		 62-ImpossibleStructures.01.Fra
28 reference(s)
63-Fractal.03
28 reference(s)		 64-Autostereograms.01.
28 reference(s)
65-infinity.01.vv
27 reference(s)		 66-MathematiquesPhysiqueFractales.02
27 reference(s)
67-Galerie_ParticleSystems.FV
27 reference(s)		 68-ExpV_VirE.Ang
27 reference(s)
69-DuModeleALImage.02.Fra
27 reference(s)		 70-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
27 reference(s)
71-Galerie_Tributes.FV
26 reference(s)		 72-Galerie_CelestialMechanics.DIAPO.0021
26 reference(s)
73-EnsembleDesGaleriesFractales.DIAPO.0178
26 reference(s)		 74-Commentaires_SpiraleJeenerBottle.01
26 reference(s)
75-AvantPropos.01.Fra
26 reference(s)		 76-An2000.06.Fra
26 reference(s)
77-xiirv_____.nota.t.
25 reference(s)		 78-SurfaceProjector.01.Fra
25 reference(s)
79-RealNumbers.01.Fra
25 reference(s)		 80-PerteDeLAssociativite.01
25 reference(s)
81-MesExpositionsPassees.01
25 reference(s)		 82-ImagesDuVirtuel.01.Fra
25 reference(s)
83-Galerie_ImagesDidactiques.FV
25 reference(s)		 84-EnsembleDesGaleries.DIAPO.0001
25 reference(s)
85-DieuScience.01.Fra
25 reference(s)		 86-xDarchivesG__CMS5__sources__CMS5_____SIS_CMS5_2
24 reference(s)
87-infinity.02.vv
24 reference(s)		 88-ImagesDuVirtuel.01.Fra.FV
24 reference(s)
89-Galerie_ImagesDesMathematiques.FV
24 reference(s)		 90-Galerie_FluidMechanics.FV
24 reference(s)
91-Galerie_DeterministicFractalGeometry.FV
24 reference(s)		 92-EnsembleDesGaleries.DIAPO.0978
24 reference(s)
93-ChatGPT.01.Ang
24 reference(s)		 94-fractal.01
23 reference(s)
95-NDimensionalDeterministicFractalSets.01.Fra
23 reference(s)		 96-LeParadoxeDeFermi.01.Fra
23 reference(s)
97-Galerie_NewPictures.FV
23 reference(s)		 98-Galerie_Astrophysics.FV
23 reference(s)
99-Galerie_Astrophysics.DIAPO.0001
23 reference(s)		 100-ExpositionsDiverses.01.Fra
23 reference(s)
101-Exposition_MairieCinquiemeArrondissementParis_202001_202002
23 reference(s)		 102-create.03.
22 reference(s)
103-VirtualChaos.01.Fra
22 reference(s)		 104-SourceExemple_____xrq_____hydrogene.61.K.
22 reference(s)
105-OrdinateurMathematiquesArt.01.Fra
22 reference(s)		 106-MathematiquesPhysiqueFractales.22
22 reference(s)
107-LeNoeudInfini.01.Fra
22 reference(s)		 108-Informations_AboutPicturesAnimationsAndFiles.01.Fra
22 reference(s)
109-Galerie_CelestialMechanics.FV
22 reference(s)		 110-EnsembleDesGaleries.DIAPO.0954
22 reference(s)
111-Commentaires_DefinitionPseudoQuaternions.01
22 reference(s)		 112-AnimFractal.01.
22 reference(s)
113-AQuoiServentLesMathematiques.01
22 reference(s)		 114-VAcatalogue.11
21 reference(s)
115-SurfaceProjector.01.Ang
21 reference(s)		 116-RasoirDOccamEtMathematiques.01.vv.Ang
21 reference(s)
117-PerteDeLAssociativite.01.VerhulstCalculs
21 reference(s)		 118-MonodimensionalCellularAutomata.01.Ang
21 reference(s)
119-MathematiquesEtRepresentations.01.vv.Ang
21 reference(s)		 120-LesApprentisDieux.01
21 reference(s)
121-Galerie_Pi.FV
21 reference(s)		 122-Fractal.02
21 reference(s)
123-FaireDesMathematiques.01.Fra
21 reference(s)		 124-Commentaires_NKleinBottle.01
21 reference(s)
125-Commentaires_EspaceLyapunovComplexe.01
21 reference(s)		 126-An2000.04.Fra
21 reference(s)
127-xiirv_____.PIPO.21.2..u.
20 reference(s)		 128-xci_____fourier.01.K.
20 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.