Monthly Best Of on 11/28/2017




Fractal 7-foil torus knot

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 11/28/2017 and last updated on 10/03/2024 17:03:32 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-363 reference(s)		Erosion of a bidimensional random (with small and large scale correlations)medium
2-265 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-258 reference(s)		The random walk of photons escaping the Sun
4-220 reference(s)
Autostereogram with an hidden volcano
5-218 reference(s)		Bidimensional Hilbert Curve -iteration 4-
6-215 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
7-212 reference(s)		Happy new year 2000
8-210 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
9-203 reference(s)		The Bonan-Jeener-Klein triple bottle
10-167 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
11-134 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-134 reference(s)
The generalized Ulam spiral
13-132 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-126 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-121 reference(s)		The random walk of photons escaping the Sun
16-112 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-107 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
18-100 reference(s)		The Jeener-Klein triple bottle
19-82 reference(s)		Autostereogram with an hidden volcano
20-81 reference(s)
The Sierpinski Carpet -iteration 1-
21-80 reference(s)		Autostereogram with an hidden volcano
22-79 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
23-73 reference(s)		The bidimensional John Conway's life game
24-71 reference(s)
Quantum vacuum fluctuations
25-70 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
26-70 reference(s)		Artistic view of the prime numbers
27-68 reference(s)		Sixteen interlaced fractal torus
28-66 reference(s)
Autostereogram with an hidden ring and ghost bows
29-62 reference(s)		A 'bidimensional epicycloïdal' pseudo-torus
30-60 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
31-57 reference(s)		The Sierpinski Carpet -iteration 5-
32-56 reference(s)
True colors autostereogram of a fractal landscape
33-55 reference(s)		The random walk of photons escaping the Sun
34-52 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
35-52 reference(s)		Autostereogram with an hidden volcano
36-51 reference(s)
Isle of the Dead -a Tribute to Arnold Böcklin-
37-50 reference(s)		The first four iterations of the construction of the von Koch snowflake
38-47 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
39-46 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
40-44 reference(s)
Autostereogram with an hidden ring and ghost bows
41-44 reference(s)		An aperiodic Penrose tiling of the plane
42-41 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
43-41 reference(s)		From 'geocentrism' to 'heliocentrism'
44-41 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
45-40 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
46-39 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
47-39 reference(s)		Tridimensional Hilbert Curve -iteration 3-
48-39 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
49-38 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-
50-38 reference(s)		Tridimensional zoom in on the Mandelbrot set
51-38 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
52-37 reference(s)
Tridimensional texture animation by means of the Generalized Product
53-37 reference(s)		The Möbius strip
54-37 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
55-37 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
56-37 reference(s)
The Universe at the heart of a Calabi-Yau manifold
57-36 reference(s)		Bidimensional geometrical texture animation
58-36 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
59-36 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
60-36 reference(s)
Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
61-36 reference(s)		Bidimensional texture animation by means of the Generalized Product
62-36 reference(s)		From Mars to the Sun
63-36 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
64-35 reference(s)
Fractal natural form
65-34 reference(s)		The Menger Sponge -iteration 5-
66-33 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
67-32 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
68-32 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
69-32 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
70-32 reference(s)		Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
71-31 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
72-31 reference(s)
An aperiodic Penrose tiling of the Golden Decagon
73-30 reference(s)		A punched paper tape
74-30 reference(s)		Quark and gluon structure of a nucleon
75-30 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
76-28 reference(s)
From Pluto to the Sun (non linear scales)
77-28 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-
78-28 reference(s)		A fractal Möbius strip
79-28 reference(s)		Tridimensional fractal structure -the space-time foam?-
80-28 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
81-28 reference(s)		Quantum vacuum fluctuations
82-27 reference(s)		A sphere defined by means of three bidimensional fields
83-27 reference(s)		The generalized Ulam spiral displaying 100 numbers
84-27 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
85-27 reference(s)		The four first power sets {P(E),P(P(E)),P(P(P(E))),P(P(P(P(E))))} of a one-element set E
86-27 reference(s)		A pseudo-periodical triangular tiling of the plane
87-26 reference(s)		A fractal vegetal structure -'the Knowledge Tree'-
88-26 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
89-26 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
90-26 reference(s)		A fractal Klein bottle
91-26 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
92-24 reference(s)
Fractal natural form
93-24 reference(s)		Pseudo Olympic Rings
94-24 reference(s)		Sunny Monument Valley
95-24 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
96-24 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 411678
97-24 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
98-24 reference(s)		Intertwining -a Tribute to Piet Mondrian-
99-23 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
100-23 reference(s)
An Archimedes spiral displaying 100000 numbers
101-23 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
102-23 reference(s)		The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
103-23 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
104-22 reference(s)
A 'crumpled' sphere defined by means of three bidimensional fields
105-22 reference(s)		Monument Valley à la David Hockney
106-22 reference(s)		Quark and gluon structure of a nucleon
107-22 reference(s)		A quaternionic Julia set -tridimensional cross-section-
108-22 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
109-21 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
110-21 reference(s)		The Lorenz attractor
111-21 reference(s)		Untitled 0267 -a Tribute to Piet Mondrian-
112-21 reference(s)
Tridimensional brownian motion
113-21 reference(s)		The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
114-20 reference(s)		Untitled 0265 -a Tribute to Vassily Kandinsky-
115-20 reference(s)		Artistic view of the bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions
116-20 reference(s)
Anaglyph -blue=right, red=left- of an hypercube
117-20 reference(s)		Anaglyph -blue=right, red=left- of a fractal hypercube
118-20 reference(s)		Fractal 7-foil torus knot
119-20 reference(s)		Three successive elementary monodimensional binary cellular automata -106,90,86- with 1 yellow starting point -bottom middle-
120-20 reference(s)
Artistic view of the Big Bang
121-19 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
122-19 reference(s)		Autostereogram of Monument Valley
123-19 reference(s)		The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
124-19 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
125-19 reference(s)		A fractal aperiodic Penrose tiling
126-19 reference(s)		Sixteen interlaced torus
127-19 reference(s)		Non euclidian distance
128-19 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
953 reference(s)		2-Vcatalogue.11
534 reference(s)
3-Galerie_GeneralitiesVisualization.FV
481 reference(s)		4-ComplexiteStructurelleClassements.11
465 reference(s)
5-An2000.01.Fra
446 reference(s)		6-Galerie_NumberTheory.FV
331 reference(s)
7-AVirtualSpaceTimeTravelMachine.Ang
318 reference(s)		8-Stereogrammes_AutoStereogrammes.01
311 reference(s)
9-FloatingPointNumbers.01.Fra
287 reference(s)		10-help.
286 reference(s)
11-FaireDeLaRecherche.01.vv
285 reference(s)		12-Galerie_ArtisticCreation.FV
283 reference(s)
13-MathematiquesPhysiqueFractales.02
264 reference(s)		14-SurfaceProjector.01.Fra
262 reference(s)
15-GoldenTriangle.01.Fra
260 reference(s)		16-Fractal.01
251 reference(s)
17-RealNumbers.01.Fra
249 reference(s)		18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
241 reference(s)
19-AVirtualSpaceTimeTravelMachine.Fra
241 reference(s)		20-MathematiquesPhysiqueFractales.22
240 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
234 reference(s)		22-Galerie_ArtAndScience.FV
234 reference(s)
23-Galerie_NewPictures.FV
233 reference(s)		24-LOG_xiMc.11
226 reference(s)
25-Galerie_QuantumMechanics.FV
223 reference(s)		26-SurfaceProjector.01.Ang
220 reference(s)
27-MorePages.
220 reference(s)		28-mail.01.vv
218 reference(s)
29-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
209 reference(s)		30-GenieLogiciel.01.Fra
209 reference(s)
31-Galerie_BestOf.FV
209 reference(s)		32-Fractal.03
209 reference(s)
33-GenieLogiciel_VisualisationScientifique.01.vv
207 reference(s)		34-Galerie_Astrophysics.FV
205 reference(s)
35-DuModeleALImage.02.Fra
201 reference(s)		36-FloatingPointNumbers.01.Ang
200 reference(s)
37-AProposSite.01.Fra
200 reference(s)		38-EntrelacsIntertwinings.01.Fra
199 reference(s)
39-UlamSpiral.01.Fra
198 reference(s)		40-NDimensionalDeterministicFractalSets.01.Fra
198 reference(s)
41-MonodimensionalCellularAutomata.01.Fra
197 reference(s)		42-EntrelacsIntertwinings.01.Ang
197 reference(s)
43-Galerie_DeterministicChaos.FV
196 reference(s)		44-ImagesDuVirtuel.01.Fra.FV
194 reference(s)
45-Galerie_ParticleSystems.FV
194 reference(s)		46-Autostereograms.01.
194 reference(s)
47-GoldenTriangle.01.Ang
193 reference(s)		48-Fractal.11
193 reference(s)
49-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
193 reference(s)		50-ImpossibleStructures.01.Ang
192 reference(s)
51-catalogue.11
191 reference(s)		52-NombresPremiers_10000.vv
191 reference(s)
53-ExpV_VirE.11
189 reference(s)		54-NDimensionalDeterministicFractalSets.01.Ang
187 reference(s)
55-DieuScience.01.Fra
187 reference(s)		56-OrdinateursEtCalculs.01.Fra
186 reference(s)
57-Galerie_TextureSynthesis.FV
183 reference(s)		58-infinity.02.vv
181 reference(s)
59-copyright.01.
181 reference(s)		60-ConjectureDeSyracuse_0256.vv
181 reference(s)
61-AnimFractal.01.
181 reference(s)		62-MiseEnSceneDesNombres.01.vv.Ang
180 reference(s)
63-fairedelarecherche.01.vv
179 reference(s)		64-MiseEnSceneDesNombres.01.vv.Fra
179 reference(s)
65-subject.01.
178 reference(s)		66-MonodimensionalCellularAutomata.01.Ang
177 reference(s)
67-ImpossibleStructures.01.Fra
177 reference(s)		68-VisitesGaleriesEnfouies.01.Ang
176 reference(s)
69-OrdinateurMathematiquesArt.01.Fra
176 reference(s)		70-MathematiquesModeleOutilArtiste.02.Ang
176 reference(s)
71-VisitesGaleriesEnfouies.01.Fra
175 reference(s)		72-Galerie_SignalProcessing.FV
175 reference(s)
73-AQuoiServentLesMathematiques.01
175 reference(s)		74-OrdinateursEtCalculs.01.Ang
174 reference(s)
75-NombresEtLumiere.01.vv.Fra
174 reference(s)		76-Galerie_FluidMechanics.FV
174 reference(s)
77-VirtualChaos.01.Fra
173 reference(s)		78-Galerie_Tributes.FV
173 reference(s)
79-infinity.01.vv
172 reference(s)		80-NatureDesMathematiques.01.vv.Fra
172 reference(s)
81-LesApprentisDieux.01
172 reference(s)		82-ImagesDuVirtuel.01.Fra
172 reference(s)
83-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
172 reference(s)		84-RasoirDOccamEtMathematiques.01.vv.Fra
171 reference(s)
85-Kepler.02.
171 reference(s)		86-Galerie_CelestialMechanics.FV
171 reference(s)
87-create.03.
170 reference(s)		88-Galerie_SensitivityToRoundingOffErrors.FV
169 reference(s)
89-Spheres.01
168 reference(s)		90-IllusionConnaissance.02
168 reference(s)
91-present.01.
167 reference(s)		92-VirtualChaos.01.Ang
167 reference(s)
93-EnsembleDesGaleries.DIAPO.0001
167 reference(s)		94-PerteDeLaDistributivite.01.DIS2
166 reference(s)
95-UlamSpiral.01.Ang
165 reference(s)		96-PerteDeLAssociativite.01
165 reference(s)
97-ManyChaos.01.Fra
165 reference(s)		98-VisualisationRelief.01.vv.Fra
164 reference(s)
99-RasoirDOccamEtMathematiques.01.vv.Ang
164 reference(s)		100-PatrimoineHumanite.02.Fra
163 reference(s)
101-MathematiquesLangageDuGrandLivreDeLaNature.12
163 reference(s)		102-FaireDesMathematiques.01.Fra
162 reference(s)
103-AvantPropos.01.Ang
162 reference(s)		104-ExpV_VirE.Ang
161 reference(s)
105-EnsembleDesGaleriesFractales.DIAPO.0001
160 reference(s)		106-MathematiquesEtCinematographe.01.vv
159 reference(s)
107-ManyChaos.01.Ang
159 reference(s)		108-logiciel
158 reference(s)
109-demo
158 reference(s)		110-AvantPropos.01.Fra
158 reference(s)
111-goldentriangle.01.fra
157 reference(s)		112-MathematiquesEtRepresentations.01.vv.Ang
156 reference(s)
113-Fractal.02
156 reference(s)		114-demo14
155 reference(s)
115-demo.14
155 reference(s)		116-realnumbers
154 reference(s)
117-nombresreels
153 reference(s)		118-genielogiciel
153 reference(s)
119-QuelquesQuestionsSurLaRecherche.01.Fra
153 reference(s)		120-an2000
152 reference(s)
121-RemarquesCerveau.01
151 reference(s)		122-Commentaires_NKleinBottle.01
144 reference(s)
123-ArtEtMathematiques.01
142 reference(s)		124-Galerie_DeterministicFractalGeometry
141 reference(s)
125-Galerie_ImagesDesMathematiques.FV
138 reference(s)		126-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
135 reference(s)
127-demo_14.FV
133 reference(s)		128-ExpV_VirE.21
132 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.