Monthly Best Of on 02/28/2024




A fractal polyhedron

Jean-François COLONNA
[Contact me]

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 02/28/2024 and last updated on 04/04/2024 15:13:13 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-611 reference(s)		 Hypercube
2-414 reference(s)		 Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
3-385 reference(s)		 The Klein bottle in motion
4-373 reference(s)
The 8 vertices of a 3-cube
5-362 reference(s)		 N-dimensional random structure
6-354 reference(s)		 A set of spheres with holes
7-344 reference(s)		 Real gravel
8-338 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 rotation about the X axis -tridimensional cross-section-
9-260 reference(s)		 Generation of the 63x63 first Conway's surreal complex numbers
10-145 reference(s)		 The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right-
11-118 reference(s)		 Artistic view of the prime numbers
12-95 reference(s)
Autostereogram with an hidden volcano
13-90 reference(s)		 A distorded -for the sake of display- 5-cube -an hyperhypercube-
14-78 reference(s)		 The generalized Ulam spiral
15-75 reference(s)		 The random walk of photons escaping the Sun
16-68 reference(s)
The Spectre
17-68 reference(s)		 An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
18-65 reference(s)		 The first four iterations of the construction of the von Koch snowflake
19-61 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
20-61 reference(s)
Quark and gluon structure of a nucleon
21-60 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-60 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
23-60 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-59 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
25-56 reference(s)		 The Menger Sponge -iteration 5-
26-55 reference(s)		 Along the border of the Mandelbrot set
27-54 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
28-53 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)
29-53 reference(s)		 Happy new year 2000
30-53 reference(s)		 Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
31-52 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-
32-52 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
33-50 reference(s)		 The Lorenz attractor
34-50 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
35-50 reference(s)		 Autostereogram with an hidden volcano
36-48 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
37-47 reference(s)		 Artistic view of the 100.000 first digits -base 10- of 'pi'
38-46 reference(s)		 A Picture in the style of Jerôme Bosch -Courtesy of 'www.bing.com'-
39-45 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
40-45 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
41-45 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
42-45 reference(s)		 Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
43-44 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
44-44 reference(s)
Autostereogram with an hidden ring and ghost bows
45-43 reference(s)		 The random walk of photons escaping the Sun
46-43 reference(s)		 Pseudo Olympic Rings
47-43 reference(s)		 The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year
48-43 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
49-43 reference(s)		 An aperiodic Penrose tiling of the plane
50-42 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
51-42 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
52-42 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
53-42 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
54-42 reference(s)		 A medium with percolation -top to bottom- using the 8-connexity
55-41 reference(s)		 From Pluto to the Sun (non linear scales)
56-41 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
57-41 reference(s)		 The Goldbach conjecture
58-41 reference(s)		 A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
59-40 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
60-40 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
61-40 reference(s)		 The Jeener-Klein triple bottle
62-40 reference(s)		 Autostereogram of the CMAP
63-39 reference(s)		 24 evenly distributed points on a sphere by means of simulated annealing
64-39 reference(s)
The 128.508 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
65-39 reference(s)		 An amazing cross-section inside the Menger Sponge -iteration 5-
66-39 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
67-39 reference(s)		 The generalized Ulam spiral displaying 100 numbers
68-38 reference(s)
Untitled 0625
69-38 reference(s)		 A spherical cross-section inside the Menger Sponge -iteration 5-
70-38 reference(s)		 Simple random triangulation of the surface of a torus -18x18-
71-38 reference(s)		 Untitled 0621
72-38 reference(s)
Merry Christmas 2023: A Fractal Cube -iteration 2-
73-38 reference(s)		 Botticelli anomaly on the Moon
74-37 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
75-37 reference(s)		 From Pluto to the Sun
76-37 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
77-37 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
78-37 reference(s)		 IMAGE_INEXISTANTE=DOSSIER__ART_ET_SCIENCE__1971_1991__COUVERTURE
79-37 reference(s)		 Iterations in the complex plane: the computation of the Mandelbrot set
80-36 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
81-36 reference(s)		 Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
82-36 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
83-36 reference(s)		 The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
84-35 reference(s)
Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
85-35 reference(s)		 My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
86-35 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
87-35 reference(s)		 A Car in the style of Sandro Botticelli -Courtesy of 'www.bing.com'-
88-34 reference(s)
Universe or Multiverse -The fractal Universe-?
89-34 reference(s)		 Untitled 0320
90-34 reference(s)		 Untitled 0305
91-34 reference(s)		 A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
92-34 reference(s)
Tridimensional display of a Fractal Square -iteration 1 to 3-
93-34 reference(s)		 The Piet Mondrian quadridimensional Calabi-Yau manifold -2D, 3D or 4D?-
94-34 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
95-34 reference(s)		 The Bonan-Jeener-Klein triple bottle
96-34 reference(s)
Artistic view of the Big Bang
97-33 reference(s)		 The 64 first lines of the Pascal's Triangle
98-33 reference(s)		 Larsen effect
99-33 reference(s)		 Black dots on a square lattice
100-33 reference(s)
The Klein bottle described by means of a Bidimensional Hilbert-like Curve -iteration 6-
101-33 reference(s)		 The Klein bottle
102-33 reference(s)		 A Picture in the style of Charles Baudelaire -Courtesy of 'www.bing.com'-
103-32 reference(s)		 The 1.000 first digits -base 10- of 'pi' displayed on an helix -bad point of view-
104-32 reference(s)
Monument Valley at sunrise
105-32 reference(s)		 A set of 4x3 stereograms of a few Monument Valleys at sunset
106-32 reference(s)		 A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
107-32 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
108-32 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
109-31 reference(s)		 Quantum vacuum fluctuations
110-31 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
111-31 reference(s)		 A tridimensional fractal manifold defined by means of three tridimensional fields
112-31 reference(s)
A regular 8-gon -an octogon-
113-31 reference(s)		 display of 'pi' with 100 digits {3.14...} on an helix -grey-
114-31 reference(s)		 Untitled 0155 -a Tribute to Yves Tanguy-
115-31 reference(s)		 The Golden Rectangle
116-31 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
117-31 reference(s)		 The Birth of the Universe
118-31 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
119-31 reference(s)		 A one sheet hyperboloid of revolution -negative curvature-
120-31 reference(s)
Untitled 0268 -a recursive Tribute to Piet Mondrian-
121-31 reference(s)		 The Library of Babel in the style of the cave of Lascaux -Courtesy of 'www.bing.com'-
122-30 reference(s)		 Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
123-30 reference(s)		 The generalized Ulam spiral
124-30 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
125-30 reference(s)		 A full-random extended Menger Sponge -iteration 5-
126-30 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
127-30 reference(s)		 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
128-30 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1856 reference(s)		 2-copyright.01.
914 reference(s)
3-Vcatalogue.11
604 reference(s)		 4-help.
369 reference(s)
5-mail.01.vv
319 reference(s)		 6-An2000.01.Fra
309 reference(s)
7-IAGenerativesImages.01.Fra
271 reference(s)		 8-Informations_AboutPicturesAnimationsAndFiles.01.Ang
222 reference(s)
9-Web_Mail.01.vv
159 reference(s)		 10-Galerie_NumberTheory.FV
144 reference(s)
11-demo_14
142 reference(s)		 12-Galerie_ArtisticCreation.FV
120 reference(s)
13-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
119 reference(s)		 14-Galerie_GeneralitiesVisualization.FV
119 reference(s)
15-Stereogrammes_AutoStereogrammes.01
93 reference(s)		 16-Galerie_ParticleSystems.FV
93 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
84 reference(s)		 18-Galerie_ArtAndScience.FV
79 reference(s)
19-ChatGPT.01.Fra
76 reference(s)		 20-AProposSite.01.Fra
73 reference(s)
21-BEST.20070728
70 reference(s)		 22-MathematiquesPhysiqueFractales.02
64 reference(s)
23-EntrelacsIntertwinings.01.Fra
63 reference(s)		 24-Galerie_CelestialMechanics.FV
62 reference(s)
25-LOG_xiMc.11
60 reference(s)		 26-Galerie_NewPictures.FV
60 reference(s)
27-FloatingPointNumbers.01.Ang
59 reference(s)		 28-Fractal.21
58 reference(s)
29-FloatingPointNumbers.01.Fra
58 reference(s)		 30-catalogue.11
56 reference(s)
31-Pcatalogue.11
56 reference(s)		 32-Kepler.02.
56 reference(s)
33-Galerie_TextureSynthesis.FV
56 reference(s)		 34-Galerie_QuantumMechanics.FV
56 reference(s)
35-Fractal.01
56 reference(s)		 36-EnsembleDesGaleries.DIAPO.0978
55 reference(s)
37-AVirtualSpaceTimeTravelMachine.Fra
54 reference(s)		 38-Informations_GoodNewsAndBadNews.01.Ang
53 reference(s)
39-OrdinateursEtCalculs.01.Fra
51 reference(s)		 40-Galerie_FluidMechanics.FV
49 reference(s)
41-Fractal.11
49 reference(s)		 42-ChatGPT.01.Ang
49 reference(s)
43-MonodimensionalCellularAutomata.01.Fra
47 reference(s)		 44-IAGenerativesImages.01.Ang
47 reference(s)
45-Galerie_DeterministicChaos.FV
47 reference(s)		 46-Galerie_Astrophysics.FV
47 reference(s)
47-relai_universel.01.vv
46 reference(s)		 48-RealNumbers.01.Fra
46 reference(s)
49-Polynomials_RationalNumbers.01.Fra
46 reference(s)		 50-GoldenTriangle.01.Fra
46 reference(s)
51-GenieLogiciel_VisualisationScientifique.01.vv
46 reference(s)		 52-SurfaceProjector.01.Ang
45 reference(s)
53-GoldenTriangle.01.Ang
45 reference(s)		 54-ArtEtMathematiques.01
45 reference(s)
55-AnimFractal.01.
45 reference(s)		 56-Informations_AboutPicturesAnimationsAndFiles.01.Fra
42 reference(s)
57-EntrelacsIntertwinings.01.Ang
42 reference(s)		 58-Commentaires_DefinitionPseudoOctonions.01
42 reference(s)
59-NDimensionalDeterministicFractalSets.01.Ang
41 reference(s)		 60-ImpossibleStructures.01.Ang
41 reference(s)
61-Galerie_SensitivityToRoundingOffErrors.FV
41 reference(s)		 62-Galerie_ImagesDidactiques.FV
41 reference(s)
63-ExpV_VirE.11
41 reference(s)		 64-xiirv_____.nota.t.
40 reference(s)
65-GenieLogiciel.01.Fra
40 reference(s)		 66-DieuScience.01.Fra
39 reference(s)
67-present.01.
38 reference(s)		 68-UlamSpiral.01.Ang
38 reference(s)
69-SurfaceProjector.01.Fra
38 reference(s)		 70-LesCourbesRemplissantes.02.Fra
38 reference(s)
71-Informations_GoodNewsAndBadNews.01.Fra
38 reference(s)		 72-DecimalesDePi.01.Fra
38 reference(s)
73-Commentaires_DefinitionPseudoQuaternions.01
38 reference(s)		 74-NombresEtLumiere.01.vv.Fra
37 reference(s)
75-NatureDesMathematiques.01.vv.Fra
37 reference(s)		 76-NDimensionalDeterministicFractalSets.01.Fra
37 reference(s)
77-Multivers.01.Fra
37 reference(s)		 78-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
37 reference(s)
79-LeParadoxeDeFermi.01.Ang
37 reference(s)		 80-Galerie_Tributes.FV
37 reference(s)
81-ExpV_VirE.Ang
37 reference(s)		 82-infinity.01.vv
36 reference(s)
83-RemarquesCerveau.01
36 reference(s)		 84-MorePages.
36 reference(s)
85-ManyChaos.01.Ang
36 reference(s)		 86-Galerie_ImagesDesMathematiques.FV
36 reference(s)
87-Galerie_BestOf.FV
36 reference(s)		 88-FaireDeLaRecherche.01.vv
36 reference(s)
89-ExpV_VirE.Fra
36 reference(s)		 90-ConjectureDeSyracuse_0256.vv
36 reference(s)
91-Autostereograms.01.
36 reference(s)		 92-UlamSpiral.01.Fra
35 reference(s)
93-NombresPremiers_10000.vv
35 reference(s)		 94-LesCourbesRemplissantes.01.Ang
35 reference(s)
95-Commentaires_EnsembleMandelbrotOctonion.01
35 reference(s)		 96-ArtScience.01
35 reference(s)
97-MathematiquesPhysiqueFractales.12
34 reference(s)		 98-MathematiquesLangageDuGrandLivreDeLaNature.12
34 reference(s)
99-Bard.01.Fra
34 reference(s)		 100-LeParadoxeDeFermi.01.Fra
33 reference(s)
101-Galerie_SignalProcessing.FV
33 reference(s)		 102-create.03.
32 reference(s)
103-Spheres.01
32 reference(s)		 104-PatrimoineHumanite.02.Fra
32 reference(s)
105-MathematiquesModeleOutilArtiste.02.Ang
32 reference(s)		 106-MonodimensionalCellularAutomata.01.Ang
31 reference(s)
107-Exposition_EcolePolytechnique_FeteDeLaScience_201510
31 reference(s)		 108-DecimalesPi_1_100.vv
31 reference(s)
109-Commentaires_EnsembleJuliaOctonion.01
31 reference(s)		 110-Commentaires_DefinitionOctonions.01
31 reference(s)
111-ManyChaos.01.Fra
30 reference(s)		 112-Fractal.03
30 reference(s)
113-EnsembleDesGaleriesFractales.DIAPO.0001
30 reference(s)		 114-An2000.04.Fra
30 reference(s)
115-RasoirDOccamEtMathematiques.01.vv.Fra
29 reference(s)		 116-OrdinateursEtCalculs.01.Ang
29 reference(s)
117-NombresEtLumiere.02.vv.Ang
29 reference(s)		 118-MorePages.Ang.
29 reference(s)
119-ImpossibleStructures.01.Fra
29 reference(s)		 120-ImagesDuVirtuel.01.Fra
29 reference(s)
121-Galerie_NumbersAndLight.FV
29 reference(s)		 122-Galerie_Astrophysics.DIAPO.0001
29 reference(s)
123-FaireDesMathematiques.01.Fra
29 reference(s)		 124-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
29 reference(s)
125-EntrelacsIntertwinings.01.Ang.DIAPO
29 reference(s)		 126-Commentaires_DefinitionQuaternions.01
29 reference(s)
127-OrdinateurMathematiquesArt.01.Fra
28 reference(s)		 128-Galerie_SelfPortraits.FV
28 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.