Monthly Best Of on 04/28/2024




Tridimensional fractal structure

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 04/28/2024 and last updated on 10/03/2024 17:04:52 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-376 reference(s)		Artistic view of the prime numbers
2-104 reference(s)		Tridimensional display of a spiral displaying 'pi' with 2.000 digits -base 10-
3-103 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-103 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
5-99 reference(s)		Autostereogram with an hidden volcano
6-97 reference(s)		The DNA of Mathematics -the 60 first digits of 'pi' and 'e'-
7-97 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-
8-95 reference(s)
Untitled 0320
9-88 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
10-83 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-
11-82 reference(s)		The Menger Sponge -iteration 5-
12-81 reference(s)
A distorded -for the sake of display- 5-cube -an hyperhypercube-
13-81 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-81 reference(s)		A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
15-80 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-80 reference(s)
Untitled 0318
17-79 reference(s)		A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
18-79 reference(s)		A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
19-79 reference(s)		Empty
20-79 reference(s)
A full-random extended Menger Sponge -iteration 5-
21-79 reference(s)		A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
22-77 reference(s)		Autostereogram with an hidden volcano
23-77 reference(s)		A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
24-76 reference(s)
A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
25-76 reference(s)		A tridimensional intertwining made of an extended Menger Sponge -iteration 5- inside a sphere
26-75 reference(s)		The Sierpinski Carpet -iteration 5-
27-75 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 2-
28-75 reference(s)
A spherical cross-section inside the Menger Sponge -iteration 5-
29-75 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
30-74 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
31-74 reference(s)		A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
32-74 reference(s)
The Sierpinski Carpet -iteration 1-
33-74 reference(s)		The complement of the Menger Sponge -iteration 2-
34-74 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
35-74 reference(s)		A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
36-73 reference(s)
A tridimensional intertwining made of an amazing cross-section inside the Menger Sponge -iteration 5- inside a sphere
37-73 reference(s)		The Sierpinski Carpet -iteration 3- with colors -a Tribute to Karl Menger and Piet Mondrian-
38-73 reference(s)		Untitled 0231 -a Tribute to Philippe Druillet-
39-73 reference(s)		An amazing cross-section inside the complement of the Menger Sponge -iteration 2-
40-73 reference(s)
A 5x5 Sierpinski Carpet -iteration 4- using the 9 first prime numbers and displaying the number 3.141
41-72 reference(s)		Tridimensional display of a spiral displaying 'pi' with 4.000 digits -base 10-
42-72 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 5-
43-72 reference(s)		The erosion of the Menger Sponge -iteration 5-
44-72 reference(s)
An extended Menger Sponge -iteration 3-
45-72 reference(s)		A parallelepipedic extended Menger Sponge -iteration 2-
46-72 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 3-
47-71 reference(s)		A half-random extended Menger Sponge -iteration 5-
48-71 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 5- with a tridimensional non linear transformation
49-71 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
50-70 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 1-
51-70 reference(s)		A 'pyramidal' cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
52-70 reference(s)
An extended Menger Sponge -iteration 5-
53-70 reference(s)		An amazing cross-section inside an extended Menger Sponge -iteration 2-
54-70 reference(s)		The eroded complement of the Menger Sponge -iteration 2-
55-70 reference(s)		An extended Menger Sponge -iteration 2-
56-69 reference(s)
An extended Menger Sponge -iteration 5-
57-69 reference(s)		The Menger Sponge -iteration 4-
58-69 reference(s)		The first four iterations of the construction of the von Koch snowflake
59-68 reference(s)		The Sierpinski Carpet -iteration 4-
60-68 reference(s)
A 'conic' cross-section inside the Menger Sponge -iteration 5-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
61-68 reference(s)		An amazing cross-section inside an extended Menger Sponge -iteration 5-
62-68 reference(s)		An extended Menger Sponge -iteration 1-
63-68 reference(s)		An extended Menger Sponge -iteration 4-
64-68 reference(s)
An extended Menger Sponge -iteration 4-
65-68 reference(s)		A half-random extended Menger Sponge -iteration 2-
66-68 reference(s)		A full-random extended Menger Sponge -iteration 2-
67-68 reference(s)		An extended Menger Sponge -iteration 3-
68-68 reference(s)
An extended Menger Sponge -iteration 4-
69-68 reference(s)		An extended Menger Sponge -iteration 1-
70-68 reference(s)		A thin double spherical cross-section inside the Menger Sponge -iteration 5-
71-68 reference(s)		The Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
72-68 reference(s)
The Menger Sponge -iteration 5-
73-68 reference(s)		The Menger Sponge -iteration 4-
74-68 reference(s)		The Menger Sponge -iteration 2-
75-68 reference(s)		The Menger Sponge -iteration 1-
76-68 reference(s)
The erosion of an amazing cross-section inside the Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
77-67 reference(s)		A 'conic' cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
78-67 reference(s)		An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
79-67 reference(s)		A half-random extended Menger Sponge -iteration 4-
80-67 reference(s)
An extended Menger Sponge -iteration 4-
81-67 reference(s)		An extended Menger Sponge -iteration 3-
82-67 reference(s)		An extended Menger Sponge -iteration 2-
83-67 reference(s)		An amazing generalized cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
84-67 reference(s)
The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
85-67 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5- with a O^2conformal transformation in the octonionic space -tridimensional cross-section-
86-67 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 4-
87-67 reference(s)		The Menger Sponge -iteration 3-
88-67 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
89-67 reference(s)		Untitled 0328
90-66 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
91-66 reference(s)		The Sierpinski Carpet -iteration 2-
92-66 reference(s)
The erosion of the Menger Sponge -iteration 4-
93-66 reference(s)		The erosion of the Menger Sponge -iteration 3-
94-66 reference(s)		The erosion of the Menger Sponge -iteration 1-
95-66 reference(s)		A 'double conic' cross-section inside the Menger Sponge -iteration 5-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
96-66 reference(s)
An amazing cross-section inside an extended Menger Sponge -iteration 3-
97-66 reference(s)		An amazing cross-section inside an extended Menger Sponge -iteration 1-
98-66 reference(s)		An extended Menger Sponge -iteration 3-
99-66 reference(s)		An extended Menger Sponge -iteration 5-
100-66 reference(s)
A parallelepipedic extended Menger Sponge -iteration 5-
101-66 reference(s)		An extended Menger Sponge -iteration 1-
102-66 reference(s)		An extended Menger Sponge -iteration 5-
103-66 reference(s)		The complement of the Menger Sponge -iteration 3-
104-66 reference(s)
The Menger Sponge -iteration 2-
105-66 reference(s)		Hypercube
106-66 reference(s)		The Cantor Triadic Set -iterations 0 to 5-
107-66 reference(s)		The Universe at the heart of a Calabi-Yau manifold
108-65 reference(s)
Untitled 0319
109-65 reference(s)		The erosion of an amazing cross-section inside the Menger Sponge -iteration 4-
110-65 reference(s)		The erosion of the Menger Sponge -iteration 2-
111-65 reference(s)		An amazing cross-section inside an extended Menger Sponge -iteration 4-
112-65 reference(s)
An extended Menger Sponge -iteration 2-
113-65 reference(s)		An extended Menger Sponge -iteration 1-
114-65 reference(s)		A parallelepipedic extended Menger Sponge -iteration 1-
115-65 reference(s)		A full-random extended Menger Sponge -iteration 1-
116-65 reference(s)
An extended Menger Sponge -iteration 2-
117-65 reference(s)		An extended Menger Sponge -iteration 1-
118-65 reference(s)		An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
119-65 reference(s)		The Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
120-65 reference(s)
A double spherical cross-section inside the Menger Sponge -iteration 5-
121-65 reference(s)		An amazing cross-section inside the complement of the Menger Sponge -iteration 3-
122-65 reference(s)		An amazing cross-section inside the complement of the Menger Sponge -iteration 1-
123-65 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 3-
124-65 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 2-
125-65 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 1-
126-65 reference(s)		The Menger Sponge -iteration 0-
127-65 reference(s)		Happy new year 2000
128-65 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
1358 reference(s)		2-BEST.20070728
201 reference(s)
3-Vcatalogue.11
166 reference(s)		4-An2000.01.Fra
164 reference(s)
5-help.
162 reference(s)		6-demo_14
161 reference(s)
7-mail.01.vv
145 reference(s)		8-copyright.01.
142 reference(s)
9-Informations_AboutPicturesAnimationsAndFiles.01.Ang
138 reference(s)		10-Web_Mail.01.vv
126 reference(s)
11-Stereogrammes_AutoStereogrammes.01
125 reference(s)		12-Fractal.11
98 reference(s)
13-catalogue.11
89 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
88 reference(s)
15-ChatGPT.01.Fra
86 reference(s)		16-Galerie_Pi.FV
83 reference(s)
17-xiirf_____.nota.t.
80 reference(s)		18-ImagesDuVirtuel.01.Fra.FV
73 reference(s)
19-IAGenerativesImages.01.Fra
70 reference(s)		20-Galerie_NumberTheory.FV
70 reference(s)
21-EntrelacsIntertwinings.01.Fra
70 reference(s)		22-GoldenTriangle.01.Fra
69 reference(s)
23-MonodimensionalCellularAutomata.01.Fra
68 reference(s)		24-FloatingPointNumbers.01.Fra
68 reference(s)
25-UlamSpiral.01.Fra
67 reference(s)		26-Galerie_ArtAndScience.FV
65 reference(s)
27-LeParadoxeDeFermi.01.Ang
64 reference(s)		28-Polynomials_RationalNumbers.01.Fra
63 reference(s)
29-Pcatalogue.11
62 reference(s)		30-DecimalesDePi.01.Fra
62 reference(s)
31-LOG_xiMc.11
61 reference(s)		32-MathematiquesPhysiqueFractales.02.1
59 reference(s)
33-Fractal.21
58 reference(s)		34-Fractal.01
57 reference(s)
35-GenieLogiciel.01.Fra
56 reference(s)		36-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
56 reference(s)
37-Galerie_ImagesDesMathematiques.FV
56 reference(s)		38-AProposSite.01.Fra
56 reference(s)
39-UlamSpiral.01.Ang
55 reference(s)		40-SurfaceProjector.01.Ang
55 reference(s)
41-GoldenTriangle.01.Ang
54 reference(s)		42-Galerie_GeneralitiesVisualization.FV
54 reference(s)
43-ExpV_VirE.11
54 reference(s)		44-Galerie_SignalProcessing.FV
53 reference(s)
45-Galerie_ParticleSystems.FV
53 reference(s)		46-Galerie_ImagesDidactiques.FV
53 reference(s)
47-EnsembleDesGaleries.DIAPO.0001
53 reference(s)		48-present.01.
52 reference(s)
49-Galerie_ArtisticCreation.FV
52 reference(s)		50-RealNumbers.01.Fra
51 reference(s)
51-IAGenerativesImages.01.Ang
51 reference(s)		52-Galerie_Tributes.FV
51 reference(s)
53-Fractal.03
51 reference(s)		54-MesExpositionsPassees.01
50 reference(s)
55-LesCourbesRemplissantes.01.Fra
50 reference(s)		56-LeParadoxeDeFermi.01.Fra
50 reference(s)
57-Galerie_NewPictures.FV
50 reference(s)		58-FloatingPointNumbers.01.Ang
50 reference(s)
59-infinity.01.vv
49 reference(s)		60-SurfaceProjector.01.Fra
49 reference(s)
61-NDimensionalDeterministicFractalSets.01.Ang
49 reference(s)		62-IllusionConnaissance.02
49 reference(s)
63-Galerie_DeterministicChaos.FV
49 reference(s)		64-EntrelacsIntertwinings.01.Ang
49 reference(s)
65-NDimensionalDeterministicFractalSets.01.Fra
48 reference(s)		66-Multivers.01.Fra
48 reference(s)
67-Informations_GoodNewsAndBadNews.01.Fra
48 reference(s)		68-Informations_GoodNewsAndBadNews.01.Ang
48 reference(s)
69-AVirtualSpaceTimeTravelMachine.Fra
48 reference(s)		70-NombresPremiers_10000.vv
47 reference(s)
71-LesCourbesRemplissantes.02.Fra
47 reference(s)		72-EnsembleDesGaleries.DIAPO.0978
47 reference(s)
73-xiirv_____.nota.t.
46 reference(s)		74-MathematiquesPhysiqueFractales.02
46 reference(s)
75-Kepler.02.
46 reference(s)		76-ImpossibleStructures.01.Fra
46 reference(s)
77-Galerie_TextureSynthesis.FV
46 reference(s)		78-ConjectureDeSyracuse_0128.Parity.vv
46 reference(s)
79-OrdinateurMathematiquesArt.01.Fra
45 reference(s)		80-MathematiquesPhysiqueFractales.12
45 reference(s)
81-Galerie_CelestialMechanics.FV
45 reference(s)		82-NatureDesMathematiques.01.vv.Fra
44 reference(s)
83-LeNoeudInfini.01.Fra
44 reference(s)		84-DecimalesPi_100000.vv
44 reference(s)
85-Spheres.01
43 reference(s)		86-MathematiquesPhysiqueFractales.22
43 reference(s)
87-Le_Chat.01.Fra
43 reference(s)		88-Galerie_QuantumMechanics.FV
43 reference(s)
89-DuModeleALImage.02.Fra
43 reference(s)		90-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
43 reference(s)
91-Bard.01.Fra
43 reference(s)		92-PerteDeLAssociativite.01
42 reference(s)
93-NombresEtLumiere.01.vv.Fra
42 reference(s)		94-ManyChaos.01.Ang
42 reference(s)
95-Informations_AboutPicturesAnimationsAndFiles.01.Fra
42 reference(s)		96-Galerie_BestOf.FV
42 reference(s)
97-Exposition_EcolePolytechnique_FeteDeLaScience_201910
42 reference(s)		98-EnsembleDesGaleries.DIAPO.0954
42 reference(s)
99-DieuScience.01.Fra
42 reference(s)		100-ChatGPT.01.Ang
42 reference(s)
101-AvantPropos.01.Fra
42 reference(s)		102-AnimFractal.01.
42 reference(s)
103-OrdinateursEtCalculs.01.Fra
41 reference(s)		104-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
41 reference(s)
105-MonodimensionalCellularAutomata.01.Ang
41 reference(s)		106-LesCourbesRemplissantes.02.Ang
41 reference(s)
107-Galerie_Astrophysics.FV
41 reference(s)		108-Exposition_MairieCinquiemeArrondissementParis_202001_202002
41 reference(s)
109-EnsembleDesGaleriesFractales.DIAPO.0001
41 reference(s)		110-DieuScience.01.Ang
41 reference(s)
111-Commentaires_EspaceLyapunovComplexe.01
41 reference(s)		112-ArithmetiqueEtOrdinateur.01.vv.Fra
41 reference(s)
113-RasoirDOccamEtMathematiques.01.vv.Ang
40 reference(s)		114-PerteDeLAssociativite.01.MUL3
40 reference(s)
115-LeNoeudInfini.01.Ang
40 reference(s)		116-infinity.02.vv
39 reference(s)
117-PerteDeLaDistributivite.01.DIS2
39 reference(s)		118-Le_Chat.01.Ang
39 reference(s)
119-ImpossibleStructures.01.Ang
39 reference(s)		120-ImagesEncadreesDisponibles.01
39 reference(s)
121-Exposition_EcolePolytechnique_FeteDeLaScience_201810
39 reference(s)		122-An2000.06.Fra
39 reference(s)
123-subject.01.
38 reference(s)		124-create.03.
38 reference(s)
125-Notations_AppartientA.01
38 reference(s)		126-MathematiquesEtRepresentations.01.vv.Fra
38 reference(s)
127-MathematiquesEtRepresentations.01.vv.Ang
38 reference(s)		128-MartiensEtMathematiques.01.Ang
38 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.