Monthly Best Of on 04/28/2017




A surface between a cylinder and a torus

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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(CMAP28 WWW site: this page was created on 04/28/2017 and last updated on 06/30/2018 14:07:37 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Hypercube
1-476 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
2-458 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-283 reference(s)
Autostereogram with an hidden volcano
4-263 reference(s)
Bidimensional Hilbert Curve -iteration 4-
5-261 reference(s)
Happy new year 2000
6-225 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
7-221 reference(s)
Autostereogram with an hidden volcano
8-203 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
9-194 reference(s)
The Bonan-Jeener's triple Klein bottle
10-180 reference(s)
Tridimensional display of the Riemann Zeta function inside (-50.0,+50.0)x(-50.0,+50.0) (bird's-eye view)
11-168 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
12-160 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
13-146 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-132 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
15-131 reference(s)
Autostereogram with an hidden ring and ghost bows
16-121 reference(s)
The random walk of photons escaping the Sun
17-118 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-117 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-108 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
20-105 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
21-96 reference(s)
Artistic view of the prime numbers
22-89 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-85 reference(s)
A pseudo-periodical Penrose tiling of the plane
24-83 reference(s)
A pseudo-periodical Penrose tiling of the Golden Decagon
25-78 reference(s)
The generalized Ulam spiral
26-74 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
27-74 reference(s)
Quantum vacuum fluctuations
28-73 reference(s)
The random walk of photons escaping the Sun
29-71 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
30-70 reference(s)
The first four iterations of the construction of the von Koch snowflake
31-67 reference(s)
Autostereogram with an hidden ring and ghost bows
32-66 reference(s)
Autostereogram with an hidden volcano
33-63 reference(s)
Fractal natural form
34-63 reference(s)
The Jeener's triple Klein bottle
35-63 reference(s)
The bidimensional John Conway's life game
36-62 reference(s)
Sixteen interlaced fractal torus
37-60 reference(s)
True colors autostereogram of a fractal landscape
38-59 reference(s)
From 'geocentrism' to 'heliocentrism'
39-59 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-59 reference(s)
A perfect bidimensional fractal tree and the self-similarity
41-57 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
42-57 reference(s)
The Universe at the heart of a Calabi-Yau manifold
43-51 reference(s)
Tridimensional display of the inflationary Universe
44-49 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
45-47 reference(s)
Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
46-47 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
47-45 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 500 KB disk drives
48-44 reference(s)
Autostereogram with an hidden volcano
49-44 reference(s)
Fractal natural form
50-44 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
51-44 reference(s)
An Archimedes spiral displaying 10000 numbers
52-44 reference(s)
The random walk of photons escaping the Sun
53-43 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
54-43 reference(s)
Bidimensional geometrical texture animation
55-42 reference(s)
Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
56-42 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
57-42 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-
58-42 reference(s)
From Mars to the Sun
59-42 reference(s)
Tridimensional zoom in on the Mandelbrot set
60-42 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-42 reference(s)
Tridimensional texture animation by means of the Generalized Product
62-41 reference(s)
Bidimensional texture animation by means of the Generalized Product
63-41 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
64-41 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
65-41 reference(s)
Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
66-40 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
67-40 reference(s)
The Möbius strip
68-40 reference(s)
Tridimensional display of the Riemann Zeta function inside (+0.1,+0.9)x(0,+50)
69-37 reference(s)
Quark and gluon structure of a nucleon
70-37 reference(s)
The Klein bottle
71-37 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
72-36 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
73-36 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
74-34 reference(s)
Tridimensional Hilbert Curve -iteration 3-
75-34 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+20.0)x(-15.0,+15.0) (bird's-eye view)
76-33 reference(s)
2000 evenly distributed points on a sphere by means of the Fibonacci spiral
77-33 reference(s)
A pseudo-periodical Penrose tiling of the plane
78-32 reference(s)
A fractal vegetal structure -'the Knowledge Tree'-
79-32 reference(s)
Autostereogram with an hidden volcano
80-32 reference(s)
Autostereogram of Monument Valley
81-32 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-32 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
83-30 reference(s)
The end of the World
84-30 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a tribute to Stephen Baxter-
85-28 reference(s)
Pseudo Olympic Rings
86-26 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
87-25 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
88-24 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
89-24 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
90-24 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
91-23 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
92-23 reference(s)
The 126.646 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk
93-23 reference(s)
A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
94-23 reference(s)
Anaglyph -blue=right, red=left- of a fractal hypercube
95-23 reference(s)
A fractal vegetal structure
96-22 reference(s)
The Klein bottle
97-22 reference(s)
Quark and gluon structure of a nucleon
98-22 reference(s)
A set of 4x3 stereograms of a fractal hypercube
99-22 reference(s)
The first four iterations of the construction of the von Koch snowflake
100-21 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
101-21 reference(s)
An Archimedes spiral displaying 5000 numbers
102-21 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
103-21 reference(s)
A truncated tridimensional torus with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
104-20 reference(s)
The Lorenz attractor
105-20 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
106-20 reference(s)
The 64 first lines of the Pascal's Triangle
107-19 reference(s)
A punched paper tape
108-19 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
109-19 reference(s)
Sixteen interlaced torus
110-19 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
111-18 reference(s)
The generalized Ulam spiral displaying 100 numbers
112-18 reference(s)
The Lorenz attractor
113-18 reference(s)
Jean-François Colonna
114-18 reference(s)
A fractal Klein bottle
115-18 reference(s)
No Title 0263
116-17 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
117-17 reference(s)
Bidimensional zoom in on the Mandelbrot set
118-17 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
119-17 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
120-17 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
121-17 reference(s)
Quantum vacuum fluctuations
122-16 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
123-16 reference(s)
A truncated tridimensional sphere with a 1/O conformal transformation in the Octonionic space -tridimensional cross-section-
124-16 reference(s)
No Title 0262
125-16 reference(s)
A tridimensional cubic mesh with a (4xO+1)/(1xO-1) conformal transformation in the Octonionic space -tridimensional cross-section-
126-16 reference(s)
The Menger sponge -iteration 5-
127-16 reference(s)
Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
128-16 reference(s)




2-The 128 most referenced Pages:



1-demo_14
1179 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
679 reference(s)
3-An2000.01.Fra
468 reference(s)
4-Stereogrammes_AutoStereogrammes.01
415 reference(s)
5-Vcatalogue.11
377 reference(s)
6-ComplexiteStructurelleClassements.11
350 reference(s)
7-help.
339 reference(s)
8-Fractal.01
301 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
299 reference(s)
10-AVirtualSpaceTimeTravelMachine.Fra
282 reference(s)
11-Galerie_NumberTheory.FV
274 reference(s)
12-Galerie_GeneralitiesVisualization.FV
261 reference(s)
13-mail.01.vv
259 reference(s)
14-Galerie_ArtAndScience.FV
259 reference(s)
15-RealNumbers.01.Fra
257 reference(s)
16-Galerie_DeterministicFractalGeometry.FV
257 reference(s)
17-FaireDeLaRecherche.01.vv
244 reference(s)
18-AProposSite.01.Fra
240 reference(s)
19-FloatingPointNumbers.01.Fra
235 reference(s)
20-MathematiquesPhysiqueFractales.02
233 reference(s)
21-GoldenTriangle.01.Fra
233 reference(s)
22-Galerie_QuantumMechanics.FV
231 reference(s)
23-Galerie_BestOf.FV
228 reference(s)
24-Galerie_ArtisticCreation.FV
226 reference(s)
25-ExpV_VirE.11
225 reference(s)
26-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
223 reference(s)
27-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
222 reference(s)
28-Galerie_NewPictures.FV
222 reference(s)
29-Galerie_ParticleSystems.FV
220 reference(s)
30-Fractal.11
219 reference(s)
31-FloatingPointNumbers.01.Ang
219 reference(s)
32-AnimFractal.01.
217 reference(s)
33-UlamSpiral.01.Fra
215 reference(s)
34-SurfaceProjector.01.Fra
213 reference(s)
35-SurfaceProjector.01.Ang
213 reference(s)
36-Galerie_CelestialMechanics.FV
213 reference(s)
37-copyright.01.
211 reference(s)
38-NDimensionalDeterministicFractalSets.01.Ang
211 reference(s)
39-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
211 reference(s)
40-NDimensionalDeterministicFractalSets.01.Fra
208 reference(s)
41-NombresEtLumiere.01.vv.Fra
207 reference(s)
42-AQuoiServentLesMathematiques.01
205 reference(s)
43-MorePages.
202 reference(s)
44-LOG_xiMc.11
197 reference(s)
45-EntrelacsIntertwinings.01.Ang
195 reference(s)
46-Galerie_FluidMechanics.FV
194 reference(s)
47-MonodimensionalCellularAutomata.01.Fra
191 reference(s)
48-Informations_GoodNewsAndBadNews.01.Fra
191 reference(s)
49-ImpossibleStructures.01.Ang
191 reference(s)
50-Fractal.03
191 reference(s)
51-FaireDesMathematiques.01.Fra
191 reference(s)
52-DieuScience.01.Fra
190 reference(s)
53-catalogue.11
189 reference(s)
54-OrdinateursEtCalculs.01.Fra
189 reference(s)
55-Galerie_SignalProcessing.FV
189 reference(s)
56-ImagesDuVirtuel.01.Fra.FV
188 reference(s)
57-GenieLogiciel.01.Fra
188 reference(s)
58-Kepler.02.
187 reference(s)
59-MathematiquesPhysiqueFractales.22
186 reference(s)
60-Galerie_Astrophysics.FV
186 reference(s)
61-ImpossibleStructures.01.Fra
184 reference(s)
62-Galerie_DeterministicChaos.FV
184 reference(s)
63-EntrelacsIntertwinings.01.Fra
184 reference(s)
64-Autostereograms.01.
184 reference(s)
65-NatureDesMathematiques.01.vv.Fra
183 reference(s)
66-MonodimensionalCellularAutomata.01.Ang
183 reference(s)
67-subject.01.
180 reference(s)
68-MathematiquesModeleOutilArtiste.02.Ang
180 reference(s)
69-Fractal.02
179 reference(s)
70-LesApprentisDieux.01
178 reference(s)
71-realnumbers
177 reference(s)
72-infinity.01.vv
177 reference(s)
73-VirtualChaos.01.Ang
177 reference(s)
74-OrdinateurMathematiquesArt.01.Fra
177 reference(s)
75-nombresreels
176 reference(s)
76-infinity.02.vv
176 reference(s)
77-demo.14
176 reference(s)
78-demo
176 reference(s)
79-an2000
176 reference(s)
80-MathematiquesEtCinematographe.01.vv
176 reference(s)
81-PerteDeLAssociativite.01
175 reference(s)
82-PatrimoineHumanite.02.Fra
175 reference(s)
83-IllusionConnaissance.02
175 reference(s)
84-EnsembleDesGaleriesFractales.DIAPO.0001
175 reference(s)
85-demo14
174 reference(s)
86-UlamSpiral.01.Ang
174 reference(s)
87-genielogiciel
173 reference(s)
88-NombresPremiers_10000.vv
173 reference(s)
89-logiciel
172 reference(s)
90-RemarquesCerveau.01
171 reference(s)
91-RasoirDOccamEtMathematiques.01.vv.Ang
171 reference(s)
92-PerteDeLaDistributivite.01.DIS2
171 reference(s)
93-Galerie_SensitivityToRoundingOffErrors.FV
171 reference(s)
94-DuModeleALImage.02.Fra
171 reference(s)
95-ManyChaos.01.Ang
170 reference(s)
96-GoldenTriangle.01.Ang
169 reference(s)
97-EntrelacsIntertwinings.01.Ang.DIAPO.0354
169 reference(s)
98-VisualisationRelief.01.vv.Fra
168 reference(s)
99-RasoirDOccamEtMathematiques.01.vv.Fra
168 reference(s)
100-QuelquesQuestionsSurLaRecherche.01.Fra
167 reference(s)
101-ManyChaos.01.Fra
167 reference(s)
102-AvantPropos.01.Fra
167 reference(s)
103-OrdinateursEtCalculs.01.Ang
166 reference(s)
104-VisitesGaleriesEnfouies.01.Ang
165 reference(s)
105-MiseEnSceneDesNombres.01.vv.Fra
165 reference(s)
106-MiseEnSceneDesNombres.01.vv.Ang
165 reference(s)
107-MathematiquesLangageDuGrandLivreDeLaNature.12
165 reference(s)
108-MathematiquesEtRepresentations.01.vv.Ang
165 reference(s)
109-Galerie_TextureSynthesis.FV
165 reference(s)
110-Commentaires_Epicycloide.03
165 reference(s)
111-AvantPropos.01.Ang
165 reference(s)
112-create.03.
164 reference(s)
113-VirtualChaos.01.Fra
164 reference(s)
114-VisitesGaleriesEnfouies.01.Fra
163 reference(s)
115-ExpV_VirE.Ang
163 reference(s)
116-EnsembleDesGaleries.DIAPO.0001
162 reference(s)
117-Galerie_Tributes.FV
161 reference(s)
118-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
161 reference(s)
119-Spheres.01
157 reference(s)
120-fairedelarecherche.01.vv
156 reference(s)
121-ExpV_VirE.21
156 reference(s)
122-present.01.
155 reference(s)
123-MathematiquesPhysiqueFractales.02.25
153 reference(s)
124-MathematiquesPhysiqueFractales.01
153 reference(s)
125-goldentriangle.01.fra
152 reference(s)
126-VisSci_SciVis.01
151 reference(s)
127-An2000.02.Fra
149 reference(s)
128-VisSci_SciVis.02
148 reference(s)

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




Copyright (c) Jean-François Colonna, 2017-2018.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2017-2018.