Monthly Best Of on 02/28/2023




Self-transformation of the bidimensional field defining the three coordinates of the fractal interpolation between a 'double sphere' and the Bonan-Jeener-Klein triple bottle

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

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 02/28/2023 and last updated on 11/14/2023 17:50:34 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



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-
1-220 reference(s)
The eroded Menger sponge -iteration 3-
2-220 reference(s)
The eroded complement of the Menger sponge -iteration 2-
3-219 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-, 'O temps tes pyramides' -a Tribute to Jorge Luis Borges-
4-213 reference(s)
The erosion of the Menger sponge -iteration 3-
5-206 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
6-206 reference(s)
The Menger sponge -iteration 5-
7-206 reference(s)
The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
8-205 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5-
9-204 reference(s)
Untitled 0320
10-202 reference(s)
The Sierpinski carpet -iteration 1 to 5-
11-201 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 1- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
12-201 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-
13-201 reference(s)
A parallelepipedic extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
14-200 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
15-200 reference(s)
Untitled 0231 -a Tribute to Philippe Druillet-
16-200 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-
17-199 reference(s)
A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
18-199 reference(s)
The Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
19-199 reference(s)
A thin double spherical cross-section inside the Menger sponge -iteration 5-
20-199 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-
21-199 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 4- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
22-198 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 1-
23-198 reference(s)
The erosion of the Menger sponge -iteration 5-
24-198 reference(s)
The erosion of the Menger sponge -iteration 4-
25-198 reference(s)
A 'conic' cross-section inside the Menger sponge -iteration 5-, 'O temps tes pyramides' -a Tribute to Jorge Luis Borges-
26-198 reference(s)
A 'double conic' cross-section inside the Menger sponge -iteration 5-, 'O temps tes pyramides' -a Tribute to Jorge Luis Borges-
27-198 reference(s)
A 'pyramidal' cross-section inside the Menger sponge -iteration 5-, 'O temps tes pyramides' -a Tribute to Jorge Luis Borges-
28-198 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 3-
29-198 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 2-
30-198 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 5-
31-197 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-
32-197 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5-
33-197 reference(s)
The erosion of the Menger sponge -iteration 1-
34-196 reference(s)
Untitled 0272
35-196 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
36-196 reference(s)
A double spherical cross-section inside the Menger sponge -iteration 5-
37-195 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 3- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
38-194 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 4-
39-194 reference(s)
The intersection of the Menger sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
40-194 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
41-194 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
42-194 reference(s)
Untitled 0234
43-194 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 2-
44-193 reference(s)
The erosion of the Menger sponge -iteration 2-
45-193 reference(s)
A 'double conic' cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
46-193 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
47-193 reference(s)
An extended Menger sponge -iteration 3-
48-193 reference(s)
Untitled 0230
49-193 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 3-
50-192 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
51-192 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
52-192 reference(s)
A full-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
53-192 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
54-192 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
55-192 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 1-
56-192 reference(s)
An amazing cross-section inside the Menger sponge -iteration 5- with a O^2conformal transformation in the octonionic space -tridimensional cross-section-
57-192 reference(s)
An amazing cross-section inside the complement of the Menger sponge -iteration 1-
58-191 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
59-190 reference(s)
An extended Menger sponge -iteration 2-
60-190 reference(s)
An extended Menger sponge -iteration 1-
61-190 reference(s)
A half-random extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
62-190 reference(s)
An extended Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
63-190 reference(s)
A spherical cross-section inside the Menger sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
64-190 reference(s)
Untitled 0315
65-189 reference(s)
The erosion of an amazing cross-section inside the Menger sponge -iteration 2- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
66-189 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 5-
67-189 reference(s)
An extended Menger sponge -iteration 5-
68-189 reference(s)
An amazing cross-section inside the complement of the Menger sponge -iteration 2-
69-189 reference(s)
The Menger sponge -iteration 1- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
70-188 reference(s)
The complement of the Menger sponge -iteration 5-
71-188 reference(s)
An extended Menger sponge -iteration 5-
72-187 reference(s)
A half-random extended Menger sponge -iteration 5-
73-187 reference(s)
An extended Menger sponge -iteration 1-
74-186 reference(s)
An extended Menger sponge -iteration 1-
75-186 reference(s)
An extended Menger sponge -iteration 4-
76-186 reference(s)
The Menger sponge -iteration 2- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
77-186 reference(s)
The Menger sponge -iteration 2-
78-186 reference(s)
Untitled 0319
79-185 reference(s)
Untitled 0314
80-185 reference(s)
A parallelepipedic extended Menger sponge -iteration 1-
81-185 reference(s)
A half-random extended Menger sponge -iteration 4-
82-185 reference(s)
An extended Menger sponge -iteration 4-
83-185 reference(s)
An extended Menger sponge -iteration 1-
84-185 reference(s)
An amazing cross-section inside the complement of the Menger sponge -iteration 5-
85-185 reference(s)
The complement of the Menger sponge -iteration 1-
86-185 reference(s)
An amazing cross-section inside the Menger sponge -iteration 2-
87-185 reference(s)
The Menger sponge -iteration 3-
88-185 reference(s)
Untitled 0328
89-184 reference(s)
Untitled 0318
90-184 reference(s)
An extended Menger sponge -iteration 2-
91-184 reference(s)
An extended Menger sponge -iteration 5-
92-184 reference(s)
An extended Menger sponge -iteration 5-
93-184 reference(s)
The Menger sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
94-184 reference(s)
The complement of the Menger sponge -iteration 2-
95-184 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 2-
96-183 reference(s)
An extended Menger sponge -iteration 4-
97-183 reference(s)
A half-random extended Menger sponge -iteration 1-
98-183 reference(s)
A full-random extended Menger sponge -iteration 3-
99-183 reference(s)
An extended Menger sponge -iteration 1-
100-183 reference(s)
An extended Menger sponge -iteration 3-
101-183 reference(s)
An extended Menger sponge -iteration 5-
102-183 reference(s)
An extended Menger sponge -iteration 1-
103-183 reference(s)
An extended Menger sponge -iteration 3-
104-183 reference(s)
An extended Menger sponge -iteration 3-
105-183 reference(s)
An extended Menger sponge -iteration 3-
106-183 reference(s)
An amazing cross-section inside the complement of the Menger sponge -iteration 3-
107-183 reference(s)
The complement of the Menger sponge -iteration 3-
108-183 reference(s)
An amazing cross-section inside the Menger sponge -iteration 4-
109-183 reference(s)
An amazing cross-section inside the Menger sponge -iteration 3-
110-183 reference(s)
The Menger sponge -iteration 5-
111-183 reference(s)
The Menger sponge -iteration 4-
112-183 reference(s)
An amazing cross-section inside an extended Menger sponge -iteration 3-
113-182 reference(s)
An extended Menger sponge -iteration 4-
114-182 reference(s)
An extended Menger sponge -iteration 2-
115-182 reference(s)
A parallelepipedic extended Menger sponge -iteration 3-
116-182 reference(s)
A full-random extended Menger sponge -iteration 5-
117-182 reference(s)
An extended Menger sponge -iteration 2-
118-182 reference(s)
An extended Menger sponge -iteration 4-
119-182 reference(s)
An extended Menger sponge -iteration 1-
120-182 reference(s)
An extended Menger sponge -iteration 2-
121-182 reference(s)
An extended Menger sponge -iteration 5-
122-182 reference(s)
An extended Menger sponge -iteration 2-
123-182 reference(s)
An extended Menger sponge -iteration 2-
124-182 reference(s)
An amazing generalized cross-section inside the Menger sponge -iteration 5-
125-182 reference(s)
The Menger sponge -iteration 4- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
126-182 reference(s)
An extended Menger sponge -iteration 3-
127-181 reference(s)
An extended Menger sponge -iteration 1-
128-181 reference(s)




2-The 128 most referenced Pages (*):

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



1-An2000.01.Fra
2033 reference(s)
2-copyright.01.
1995 reference(s)
3-Vcatalogue.11
1883 reference(s)
4-mail.01.vv
1219 reference(s)
5-help.
1133 reference(s)
6-xiirc_____.nota.t.
482 reference(s)
7-Galerie_NumberTheory.FV
335 reference(s)
8-Galerie_ArtAndScience.FV
276 reference(s)
9-Galerie_ArtisticCreation.FV
265 reference(s)
10-xiirv_____.nota.t.
209 reference(s)
11-xiirs_____.nota.t.
172 reference(s)
12-AnimFractal.01.
145 reference(s)
13-Galerie_ParticleSystems.FV
131 reference(s)
14-AVirtualSpaceTimeTravelMachine.Ang
129 reference(s)
15-demo_14
127 reference(s)
16-Galerie_ImagesDidactiques.FV
116 reference(s)
17-Stereogrammes_AutoStereogrammes.01
110 reference(s)
18-xiac_____.nota.t.
101 reference(s)
19-xiirf_____.nota.t.
96 reference(s)
20-Galerie_CelestialMechanics.FV
94 reference(s)
21-Web_Mail.01.vv
78 reference(s)
22-Galerie_Tributes.FV
77 reference(s)
23-xias_____.nota.t.
74 reference(s)
24-xiak_____.nota.t.
71 reference(s)
25-Galerie_TextureSynthesis.FV
70 reference(s)
26-Galerie_DeterministicChaos.FV
70 reference(s)
27-SurfaceProjector.01.Fra
64 reference(s)
28-GoldenTriangle.01.Fra
64 reference(s)
29-Fractal.01
62 reference(s)
30-Notations_AppartientA.01
59 reference(s)
31-Informations_AboutPicturesAnimationsAndFiles.01.Ang
59 reference(s)
32-Galerie_QuantumMechanics.FV
59 reference(s)
33-FloatingPointNumbers.01.Fra
57 reference(s)
34-GenieLogiciel_VisualisationScientifique.01.vv
56 reference(s)
35-SurfaceProjector.01.Ang
54 reference(s)
36-Informations_GoodNewsAndBadNews.01.Fra
54 reference(s)
37-Galerie_SelfPortraits.FV
53 reference(s)
38-UlamSpiral.01.Fra
52 reference(s)
39-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
52 reference(s)
40-Galerie_GeneralitiesVisualization.FV
52 reference(s)
41-Fractal.11
50 reference(s)
42-Exposition_EcolePolytechnique_FeteDeLaScience_201910
50 reference(s)
43-EntrelacsIntertwinings.01.Ang
50 reference(s)
44-Informations_GoodNewsAndBadNews.01.Ang
49 reference(s)
45-Galerie_SignalProcessing.FV
48 reference(s)
46-MonodimensionalCellularAutomata.01.Fra
47 reference(s)
47-AProposSite.01.Fra
47 reference(s)
48-Fractal.03
46 reference(s)
49-DecimalesPi_1_100.vv
46 reference(s)
50-GoldenTriangle.01.Ang
45 reference(s)
51-Galerie_NewPictures.FV
45 reference(s)
52-Galerie_DeterministicFractalGeometry.FV
45 reference(s)
53-infinity.01.vv
44 reference(s)
54-ImpossibleStructures.01.Fra
44 reference(s)
55-ImpossibleStructures.01.Ang
44 reference(s)
56-EntrelacsIntertwinings.01.Fra
44 reference(s)
57-AVirtualSpaceTimeTravelMachine.Fra
44 reference(s)
58-xiav_____.nota.t.
43 reference(s)
59-NDimensionalDeterministicFractalSets.01.Fra
43 reference(s)
60-Galerie_NewPictures.DIAPO.0001
43 reference(s)
61-Galerie_Astrophysics.FV
43 reference(s)
62-Fractal.21
43 reference(s)
63-UlamSpiral.01.Ang
42 reference(s)
64-LOG_xiMc.11
42 reference(s)
65-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
42 reference(s)
66-OrdinateursEtCalculs.01.Ang
41 reference(s)
67-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
41 reference(s)
68-Galerie_GeneralitiesVisualization.DIAPO.0001
40 reference(s)
69-Galerie_ImagesDesMathematiques.FV
39 reference(s)
70-Commentaires_NKleinBottle.01
39 reference(s)
71-xiaf_____.nota.t.
38 reference(s)
72-Pcatalogue.11
38 reference(s)
73-NDimensionalDeterministicFractalSets.01.Ang
38 reference(s)
74-Galerie_SensitivityToRoundingOffErrors.FV
38 reference(s)
75-Galerie_DeterministicChaos.DIAPO.0001
38 reference(s)
76-FloatingPointNumbers.01.Ang
38 reference(s)
77-subject.01.
37 reference(s)
78-create.03.
37 reference(s)
79-VisitesGaleriesEnfouies.01.Fra
37 reference(s)
80-LeParadoxeDeFermi.01.Fra
37 reference(s)
81-Galerie_FluidMechanics.FV
37 reference(s)
82-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
37 reference(s)
83-present.01.
36 reference(s)
84-MonodimensionalCellularAutomata.01.Ang
36 reference(s)
85-EntrelacsIntertwinings.01.Ang.DIAPO.0467
36 reference(s)
86-relai_universel.01.vv
35 reference(s)
87-EnsembleDesGaleries.DIAPO.0001
35 reference(s)
88-xiirk_____.nota.t.
34 reference(s)
89-VirtualChaos.01.Fra
34 reference(s)
90-SourceExemple_____xrq_____hydrogene.61.K.
34 reference(s)
91-NombresPremiers_10000.vv
34 reference(s)
92-LesCourbesRemplissantes.01.Fra
34 reference(s)
93-JFC
34 reference(s)
94-GenieLogiciel.01.Fra
34 reference(s)
95-ExpV_VirE.11
34 reference(s)
96-EnsembleDesGaleriesFractales.DIAPO.0001
34 reference(s)
97-Autostereograms.01.
34 reference(s)
98-ArtScience.11.Ang.DIAPO.0025
34 reference(s)
99-xiia_____.nota.t.
33 reference(s)
100-Multivers.01.Fra
33 reference(s)
101-MathematiquesModeleOutilArtiste.02.Ang
33 reference(s)
102-Kepler.02.
33 reference(s)
103-IllusionConnaissance.02
33 reference(s)
104-catalogue.11
32 reference(s)
105-RemarquesCerveau.01
32 reference(s)
106-NatureDesMathematiques.01.vv.Fra
32 reference(s)
107-MathematiquesPhysiqueFractales.02
32 reference(s)
108-ManyChaos.01.Ang
32 reference(s)
109-Galerie_BestOf.FV
32 reference(s)
110-Galerie_BestOf.DIAPO.0001
32 reference(s)
111-FaireDeLaRecherche.01.vv
32 reference(s)
112-EnsembleDesGaleries.DIAPO.0002
32 reference(s)
113-DieuScience.01.Fra
32 reference(s)
114-Commentaires_VarieteOctoDimensionnelleCalabiYau.01
32 reference(s)
115-VirtualChaos.01.Ang
31 reference(s)
116-T_MathematiquesPhysiqueFractales.02.1_ArbreDeSternBrocot.01.vv.Fra.0009
31 reference(s)
117-MorePages.Ang.
31 reference(s)
118-MathematiquesPhysiqueFractales.22
31 reference(s)
119-MathematiquesPhysiqueFractales.12
31 reference(s)
120-ImagesDuVirtuel.01.Fra.FV
31 reference(s)
121-FaireDesMathematiques.01.Fra
31 reference(s)
122-VisitesGaleriesEnfouies.01.Ang
30 reference(s)
123-VAcatalogue.11
30 reference(s)
124-RealNumbers.01.Fra
30 reference(s)
125-PerteDeLAssociativite.01
30 reference(s)
126-Galerie_QuantumMechanics.DIAPO.0001
30 reference(s)
127-ExpV_VirE.Fra
30 reference(s)
128-DecimalesPi_100000.vv
30 reference(s)

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




Copyright © Jean-François COLONNA, 2023-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2023-2023.