Monthly Best Of on 01/28/2017




The Klein bottle defined by means of three bidimensional fields

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 01/28/2017 and last updated on 10/03/2024 17:03:25 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Happy new year 2000
1-836 reference(s)		Bidimensional Hilbert Curve -iteration 4-
2-415 reference(s)		Hypercube
3-385 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-339 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
5-318 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
6-285 reference(s)		Autostereogram with an hidden volcano
7-258 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
8-246 reference(s)
Erosion of a bidimensional random (with small and large scale correlations)medium
9-217 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
10-189 reference(s)		Autostereogram with an hidden volcano
11-181 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
12-172 reference(s)
The Bonan-Jeener-Klein triple bottle
13-143 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-133 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
15-124 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-113 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
17-107 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
18-105 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-102 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
20-98 reference(s)
The generalized Ulam spiral
21-95 reference(s)		Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-
22-95 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-90 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
24-88 reference(s)
Autostereogram with an hidden volcano
25-87 reference(s)		The Jeener-Klein triple bottle
26-87 reference(s)		The random walk of photons escaping the Sun
27-83 reference(s)		The random walk of photons escaping the Sun
28-80 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
29-79 reference(s)		An aperiodic Penrose tiling of the plane
30-75 reference(s)		Artistic view of the prime numbers
31-71 reference(s)		Quantum vacuum fluctuations
32-69 reference(s)
Autostereogram with an hidden volcano
33-69 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
34-68 reference(s)		Autostereogram with an hidden ring and ghost bows
35-67 reference(s)		Sixteen interlaced fractal torus
36-65 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
37-57 reference(s)		The bidimensional John Conway's life game
38-55 reference(s)		The first four iterations of the construction of the von Koch snowflake
39-52 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
40-50 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-50 reference(s)		True colors autostereogram of a fractal landscape
42-49 reference(s)		Sixteen interlaced torus
43-47 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
44-46 reference(s)
From 'geocentrism' to 'heliocentrism'
45-46 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
46-45 reference(s)		Autostereogram with an hidden ring and ghost bows
47-44 reference(s)		The random walk of photons escaping the Sun
48-44 reference(s)
An Archimedes spiral displaying 10000 numbers
49-44 reference(s)		Tridimensional zoom in on the Mandelbrot set
50-44 reference(s)		Bidimensional geometrical texture animation
51-43 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
52-43 reference(s)
From Mars to the Sun
53-43 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-43 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
55-42 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
56-42 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-
57-42 reference(s)		The Möbius strip
58-42 reference(s)		Tridimensional display of the inflationary Universe
59-42 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
60-41 reference(s)
Tridimensional texture animation by means of the Generalized Product
61-41 reference(s)		Bidimensional texture animation by means of the Generalized Product
62-41 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
63-41 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
64-40 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
65-40 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
66-40 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
67-39 reference(s)		The Universe at the heart of a Calabi-Yau manifold
68-38 reference(s)
Autostereogram of Monument Valley
69-37 reference(s)		A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, base 6-
70-37 reference(s)		Tridimensional Hilbert Curve -iteration 3-
71-36 reference(s)		The first four iterations of the construction of the von Koch snowflake
72-35 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
73-34 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
74-34 reference(s)		Autostereogram with an hidden volcano
75-33 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
76-33 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
77-32 reference(s)		A perfect bidimensional fractal tree and the self-similarity
78-31 reference(s)		Pseudo Olympic Rings
79-30 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
80-28 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
81-28 reference(s)		An Archimedes spiral displaying 5000 numbers
82-27 reference(s)		Quark and gluon structure of a nucleon
83-27 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
84-27 reference(s)
The Klein bottle
85-27 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
86-26 reference(s)		Fractal natural form
87-26 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
88-24 reference(s)
Jean-François COLONNA (on 11/17/1994)with its fractal mountains
89-24 reference(s)		A 'tridimensional epicycloïdal' pseudo-torus
90-24 reference(s)		An aperiodic Penrose tiling of the plane
91-23 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
92-23 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
93-23 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
94-23 reference(s)		Arrival -a Tribute to the 2016 Denis Villeneuve's movie thanks to a pseudo-quaternionic Julia set-
95-23 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
96-23 reference(s)
The tower -a Tribute to Vladimir Tatline-
97-23 reference(s)		The Klein bottle
98-22 reference(s)		An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
99-22 reference(s)		A punched paper tape
100-21 reference(s)
The Lorenz attractor
101-21 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
102-20 reference(s)		Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
103-20 reference(s)		Fractal natural form
104-20 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)
105-20 reference(s)		A two-hole pseudo-torus
106-20 reference(s)		A 'tridimensional epicycloïdal' pseudo-torus
107-20 reference(s)		A fractal vegetal structure
108-19 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
109-19 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
110-19 reference(s)		The generalized Ulam spiral displaying 1024 numbers
111-19 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
112-19 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
113-19 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
114-19 reference(s)		Untitled 0255
115-19 reference(s)		A 'thick' helix
116-19 reference(s)
A quoi servent les Mathématiques?
117-19 reference(s)		Quantum vacuum fluctuations
118-18 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
119-18 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral -with display of the spiral-
120-18 reference(s)
The 65.536 first 'decimals' -base 3- of 'pi' -the first 'decimal' is the top left red square-
121-18 reference(s)		Portrait (Lena)-16x16 square-
122-18 reference(s)		The Lorenz attractor
123-18 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
124-18 reference(s)
A 'bidimensional epicycloïdal' pseudo-torus
125-18 reference(s)		Artistic view of the Big Bang
126-17 reference(s)		An helix on a sphere
127-17 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
128-17 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
843 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
693 reference(s)
3-An2000.01.Fra
496 reference(s)		4-Stereogrammes_AutoStereogrammes.01
422 reference(s)
5-help.
390 reference(s)		6-ComplexiteStructurelleClassements.11
377 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
358 reference(s)		8-Fractal.01
341 reference(s)
9-Vcatalogue.11
334 reference(s)		10-Galerie_NumberTheory.FV
328 reference(s)
11-mail.01.vv
302 reference(s)		12-Galerie_GeneralitiesVisualization.FV
302 reference(s)
13-AVirtualSpaceTimeTravelMachine.Fra
283 reference(s)		14-MathematiquesPhysiqueFractales.02
279 reference(s)
15-Galerie_DeterministicFractalGeometry.FV
273 reference(s)		16-FloatingPointNumbers.01.Fra
266 reference(s)
17-RealNumbers.01.Fra
260 reference(s)		18-AProposSite.01.Fra
259 reference(s)
19-GoldenTriangle.01.Fra
248 reference(s)		20-FaireDeLaRecherche.01.vv
236 reference(s)
21-Galerie_ParticleSystems.FV
235 reference(s)		22-Galerie_BestOf.FV
233 reference(s)
23-Galerie_ArtisticCreation.FV
232 reference(s)		24-UlamSpiral.01.Fra
231 reference(s)
25-copyright.01.
223 reference(s)		26-Galerie_QuantumMechanics.FV
219 reference(s)
27-SurfaceProjector.01.Fra
217 reference(s)		28-Fractal.11
217 reference(s)
29-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
216 reference(s)		30-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
216 reference(s)
31-AnimFractal.01.
216 reference(s)		32-Galerie_CelestialMechanics.FV
213 reference(s)
33-Galerie_NewPictures.FV
211 reference(s)		34-Galerie_ArtAndScience.FV
211 reference(s)
35-PerteDeLAssociativite.01
209 reference(s)		36-LOG_xiMc.11
207 reference(s)
37-SurfaceProjector.01.Ang
206 reference(s)		38-stereogrammes_autostereogrammes.01
203 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
203 reference(s)		40-ExpV_VirE.11
203 reference(s)
41-OrdinateursEtCalculs.01.Fra
201 reference(s)		42-Galerie_Astrophysics.FV
200 reference(s)
43-FloatingPointNumbers.01.Ang
200 reference(s)		44-Kepler.02.
199 reference(s)
45-GenieLogiciel.01.Fra
197 reference(s)		46-NDimensionalDeterministicFractalSets.01.Ang
196 reference(s)
47-NDimensionalDeterministicFractalSets.01.Fra
195 reference(s)		48-MathematiquesPhysiqueFractales.22
195 reference(s)
49-Galerie_FluidMechanics.FV
191 reference(s)		50-catalogue.11
188 reference(s)
51-NombresEtLumiere.01.vv.Fra
188 reference(s)		52-MorePages.
188 reference(s)
53-subject.01.
187 reference(s)		54-FaireDesMathematiques.01.Fra
187 reference(s)
55-RemarquesCerveau.01
186 reference(s)		56-IllusionConnaissance.02
186 reference(s)
57-Galerie_SignalProcessing.FV
185 reference(s)		58-infinity.02.vv
184 reference(s)
59-EntrelacsIntertwinings.01.Ang
184 reference(s)		60-infinity.01.vv
183 reference(s)
61-ImagesDuVirtuel.01.Fra.FV
183 reference(s)		62-Galerie_DeterministicChaos.FV
183 reference(s)
63-EntrelacsIntertwinings.01.Fra
183 reference(s)		64-MonodimensionalCellularAutomata.01.Fra
182 reference(s)
65-UlamSpiral.01.Ang
180 reference(s)		66-MonodimensionalCellularAutomata.01.Ang
180 reference(s)
67-realnumbers
178 reference(s)		68-create.03.
178 reference(s)
69-MathematiquesLangageDuGrandLivreDeLaNature.12
178 reference(s)		70-LesApprentisDieux.01
178 reference(s)
71-DieuScience.01.Fra
178 reference(s)		72-OrdinateurMathematiquesArt.01.Fra
177 reference(s)
73-ImpossibleStructures.01.Ang
177 reference(s)		74-Autostereograms.01.
177 reference(s)
75-logiciel
175 reference(s)		76-VisitesGaleriesEnfouies.01.Ang
175 reference(s)
77-ImpossibleStructures.01.Fra
175 reference(s)		78-genielogiciel
173 reference(s)
79-demo.14
173 reference(s)		80-demo
173 reference(s)
81-PatrimoineHumanite.02.Fra
173 reference(s)		82-Galerie_TextureSynthesis.FV
173 reference(s)
83-ExpV_VirE.Ang
173 reference(s)		84-nombresreels
172 reference(s)
85-VirtualChaos.01.Ang
172 reference(s)		86-OrdinateursEtCalculs.01.Ang
172 reference(s)
87-MathematiquesModeleOutilArtiste.02.Ang
172 reference(s)		88-NatureDesMathematiques.01.vv.Fra
171 reference(s)
89-Fractal.02
171 reference(s)		90-RasoirDOccamEtMathematiques.01.vv.Fra
170 reference(s)
91-GoldenTriangle.01.Ang
170 reference(s)		92-ManyChaos.01.Ang
169 reference(s)
93-DuModeleALImage.02.Fra
169 reference(s)		94-demo14
168 reference(s)
95-an2000
167 reference(s)		96-VisitesGaleriesEnfouies.01.Fra
167 reference(s)
97-EnsembleDesGaleriesFractales.DIAPO.0001
167 reference(s)		98-VisualisationRelief.01.vv.Fra
166 reference(s)
99-VirtualChaos.01.Fra
166 reference(s)		100-Spheres.01
166 reference(s)
101-MiseEnSceneDesNombres.01.vv.Fra
166 reference(s)		102-MathematiquesEtCinematographe.01.vv
166 reference(s)
103-ManyChaos.01.Fra
166 reference(s)		104-Fractal.03
166 reference(s)
105-Galerie_Tributes.FV
165 reference(s)		106-Informations_GoodNewsAndBadNews.01.Fra
164 reference(s)
107-MiseEnSceneDesNombres.01.vv.Ang
163 reference(s)		108-EnsembleDesGaleries.DIAPO.0001
162 reference(s)
109-AvantPropos.01.Fra
162 reference(s)		110-AQuoiServentLesMathematiques.01
162 reference(s)
111-RasoirDOccamEtMathematiques.01.vv.Ang
161 reference(s)		112-QuelquesQuestionsSurLaRecherche.01.Fra
161 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Ang
161 reference(s)		114-Galerie_SensitivityToRoundingOffErrors.FV
161 reference(s)
115-AvantPropos.01.Ang
159 reference(s)		116-MathematiquesEtRepresentations.01.vv.Ang
157 reference(s)
117-fractal.01
148 reference(s)		118-fairedelarecherche.01.vv
145 reference(s)
119-galerie_numbertheory.fv
143 reference(s)		120-InformatiqueProfessionnelle.01.Fra
143 reference(s)
121-present.01.
141 reference(s)		122-MathematiquesPhysiqueFractales.01
140 reference(s)
123-ImagesDuVirtuel.01.Fra
140 reference(s)		124-An2000.02.Fra
140 reference(s)
125-PourLaScience.01.Fra
138 reference(s)		126-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
138 reference(s)
127-Commentaires_Epicycloide.01
138 reference(s)		128-ArtScience.01
138 reference(s)

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




Copyright © Jean-François COLONNA, 2017-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2017-2024.