Monthly Best Of on 12/28/2019




The construction of the von Koch curve

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 12/28/2019 and last updated on 11/14/2023 17:49:50 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Untitled 0293 -a Tribute to Pierre Soulages
1-319 reference(s)		 Autostereogram of the CMAP
2-194 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
3-191 reference(s)		 Victor Vasarely meets Piet Mondrian
4-154 reference(s)
Two multiplexed autostereograms by means of a pi/2 rotation
5-153 reference(s)		 The random walk of photons escaping the Sun
6-140 reference(s)		 The first four iterations of the construction of the von Koch snowflake
7-126 reference(s)		 Autostereogram with an hidden volcano
8-123 reference(s)
The random walk of photons escaping the Sun
9-121 reference(s)		 Autostereogram with an hidden volcano
10-105 reference(s)		 Color palette 'gris.12'
11-86 reference(s)		 Color palette 'gris.93'
12-84 reference(s)
Color palette 'gris.73'
13-84 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-83 reference(s)		 An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
15-81 reference(s)		 From 'geocentrism' to 'heliocentrism'
16-74 reference(s)
Happy new year 2000
17-74 reference(s)		 The Bonan-Jeener-Klein triple bottle
18-71 reference(s)		 The random walk of photons escaping the Sun
19-67 reference(s)		 The bidimensional John Conway's life game
20-65 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
21-60 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
22-58 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-56 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
24-54 reference(s)
The Jeener-Klein triple bottle
25-54 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
26-53 reference(s)		 Hypercube
27-53 reference(s)		 The Sierpinski carpet -iteration 5-
28-52 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
29-52 reference(s)		 A fractal vegetal structure
30-51 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
31-51 reference(s)		 Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
32-49 reference(s)
From Mars to the Sun
33-47 reference(s)		 The Möbius strip
34-47 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
35-46 reference(s)		 Tridimensional texture animation by means of the Generalized Product
36-46 reference(s)
Tridimensional zoom in on the Mandelbrot set
37-46 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
38-45 reference(s)		 A blue sponge-tree -a Tribute to Yves Klein-
39-45 reference(s)		 Bidimensional geometrical texture animation
40-44 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
41-44 reference(s)		 Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
42-44 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
43-44 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
44-43 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
45-43 reference(s)		 Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
46-43 reference(s)		 Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
47-43 reference(s)		 Bidimensional texture animation by means of the Generalized Product
48-43 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-
49-43 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
50-43 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
51-43 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
52-42 reference(s)
Quantum vacuum fluctuations
53-42 reference(s)		 Fractal Self-Portrait -a Tribute to René Magritte-
54-42 reference(s)		 Untitled 0271 -a Tribute to Vassily Kandinsky-
55-40 reference(s)		 Pseudo Olympic Rings
56-39 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
57-39 reference(s)		 Artistic view of the prime numbers
58-38 reference(s)		 Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
59-37 reference(s)		 Color palette 'jaune'
60-37 reference(s)
The Menger sponge -iteration 5-
61-36 reference(s)		 The Mandelbrot set
62-36 reference(s)		 A dying Borg starship on Pluto
63-35 reference(s)		 A spherical cross-section inside the Menger sponge -iteration 5-
64-32 reference(s)
The 64 first lines of the Pascal's Triangle -modulo 7-
65-31 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
66-31 reference(s)		 Autostereogram with an hidden volcano
67-31 reference(s)		 Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
68-30 reference(s)
An aperiodic Penrose tiling of the plane
69-30 reference(s)		 Metropolis -a Tribute to Fritz Lang-
70-30 reference(s)		 The Lorenz attractor
71-30 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
72-30 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
73-29 reference(s)		 The Boy surface
74-29 reference(s)		 The Universe at the heart of a Calabi-Yau manifold
75-28 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
76-28 reference(s)
Gravitation and space-time curvature
77-28 reference(s)		 Autostereogram with an hidden volcano
78-27 reference(s)		 The Boy surface
79-27 reference(s)		 From the infinitely small to the infinitely big
80-26 reference(s)
A 4-cube -an hypercube-
81-26 reference(s)		 An aperiodic Penrose tiling of the plane
82-25 reference(s)		 The Sierpinski carpet -iteration 3-
83-25 reference(s)		 Fractal natural form
84-25 reference(s)
The Scream -a Tribute to Edvard Munch-
85-25 reference(s)		 The generalized Ulam spiral
86-25 reference(s)		 An extended Menger sponge -iteration 5-
87-25 reference(s)		 Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
88-24 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
89-24 reference(s)		 Untitled 0294 -a Tribute to Victor Vasarely
90-23 reference(s)		 An aperiodic Penrose tiling of the plane
91-23 reference(s)		 A pay slip
92-23 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
93-23 reference(s)		 Untitled 0267 -a Tribute to Piet Mondrian-
94-23 reference(s)		 An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
95-22 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
96-22 reference(s)
Bidimensional zoom in on the Mandelbrot set
97-22 reference(s)		 Bidimensional Hilbert Curve -iteration 4-
98-22 reference(s)		 Anaglyph -blue=right, red=left- of a fractal hypercube
99-22 reference(s)		 A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
100-22 reference(s)
The construction process of the Sierpinski carpet
101-21 reference(s)		 Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
102-21 reference(s)		 Untitled 0301
103-21 reference(s)		 A mixing -addition- of a sphere and of a 'thick' helix defined by means of three bidimensional fields
104-21 reference(s)
An Archimedes spiral displaying 100000 numbers
105-21 reference(s)		 The abelian -commutative- group defined on elliptic curves
106-21 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
107-21 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
108-21 reference(s)
Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
109-20 reference(s)		 Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
110-20 reference(s)		 The Jeener-Klein triple bottle
111-20 reference(s)		 The first four iterations of the construction of the von Koch snowflake
112-19 reference(s)
Rotation about X and Y axes of the Boy surface
113-19 reference(s)		 A 'crumpled' sphere defined by means of three bidimensional fields
114-19 reference(s)		 Multifractal mountains (bird's-eye view)
115-19 reference(s)		 Autostereogram of Monument Valley
116-19 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
117-19 reference(s)		 A tridimensional structure based on a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section-
118-19 reference(s)		 A fractal Klein bottle
119-19 reference(s)		 A shell (Jeener surface 1)in motion
120-19 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
121-19 reference(s)		 Untitled 0269 -a Tribute to Piet Mondrian-
122-19 reference(s)		 A tridimensionally distorded aperiodic Penrose tiling of the plane
123-18 reference(s)		 The Sierpinski carpet -iteration 1-
124-18 reference(s)
Fractal 'celestial body' based on a sphere with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
125-18 reference(s)		 Monument Valley at sunrise
126-18 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
127-18 reference(s)		 An extended Menger sponge -iteration 5-
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
677 reference(s)		 2-Vcatalogue.11
649 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
574 reference(s)		 4-help.
548 reference(s)
5-ImagesDuVirtuel.01.Fra
362 reference(s)		 6-An2000.01.Fra
312 reference(s)
7-GenieLogiciel_VisualisationScientifique.01.vv
264 reference(s)		 8-Commentaires_NKleinBottle.01
238 reference(s)
9-RealNumbers.01.Fra
237 reference(s)		 10-SurfaceProjector.01.Fra
212 reference(s)
11-GoldenTriangle.01.Fra
212 reference(s)		 12-Stereogrammes_AutoStereogrammes.01
208 reference(s)
13-Galerie_NumberTheory.FV
207 reference(s)		 14-MathematiquesPhysiqueFractales.02
205 reference(s)
15-AVirtualSpaceTimeTravelMachine.Fra
205 reference(s)		 16-LOG_xiMc.11
197 reference(s)
17-Galerie_NewPictures.FV
197 reference(s)		 18-Fractal.01
197 reference(s)
19-FloatingPointNumbers.01.Fra
197 reference(s)		 20-MorePages.
195 reference(s)
21-Galerie_DeterministicFractalGeometry.FV
193 reference(s)		 22-Fractal.11
187 reference(s)
23-Galerie_ArtisticCreation.FV
185 reference(s)		 24-mail.01.vv
183 reference(s)
25-Galerie_ArtAndScience.FV
183 reference(s)		 26-SurfaceProjector.01.Ang
182 reference(s)
27-AProposSite.01.Fra
181 reference(s)		 28-UlamSpiral.01.Fra
180 reference(s)
29-Galerie_GeneralitiesVisualization.FV
178 reference(s)		 30-AQuoiServentLesMathematiques.01
178 reference(s)
31-Autostereograms.01.
175 reference(s)		 32-realnumbers
174 reference(s)
33-demo
174 reference(s)		 34-FaireDeLaRecherche.01.vv
174 reference(s)
35-nombresreels
173 reference(s)		 36-demo.14
173 reference(s)
37-logiciel
172 reference(s)		 38-genielogiciel
172 reference(s)
39-demo14
172 reference(s)		 40-an2000
172 reference(s)
41-copyright.01.
169 reference(s)		 42-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
168 reference(s)
43-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
168 reference(s)		 44-Exposition_EcolePolytechnique_FeteDeLaScience_201910
167 reference(s)
45-present.01.
165 reference(s)		 46-NDimensionalDeterministicFractalSets.01.Fra
164 reference(s)
47-MathematiquesPhysiqueFractales.12
164 reference(s)		 48-MonodimensionalCellularAutomata.01.Fra
163 reference(s)
49-DieuScience.01.Fra
163 reference(s)		 50-catalogue.11
161 reference(s)
51-ExpV_VirE.21
161 reference(s)		 52-Pcatalogue.11
160 reference(s)
53-NDimensionalDeterministicFractalSets.01.Ang
160 reference(s)		 54-GenieLogiciel.01.Fra
160 reference(s)
55-Fractal.21
160 reference(s)		 56-Galerie_ParticleSystems.FV
159 reference(s)
57-MathematiquesPhysiqueFractales.22
157 reference(s)		 58-Kepler.02.
157 reference(s)
59-FloatingPointNumbers.01.Ang
156 reference(s)		 60-Galerie_CelestialMechanics.FV
155 reference(s)
61-Galerie_ImagesDesMathematiques.FV
153 reference(s)		 62-Fractal.03
153 reference(s)
63-ExpV_VirE.11
151 reference(s)		 64-Informations_AboutPicturesAnimationsAndFiles.01.Ang
150 reference(s)
65-Galerie_TextureSynthesis.FV
149 reference(s)		 66-Galerie_QuantumMechanics.FV
149 reference(s)
67-AnimFractal.01.
149 reference(s)		 68-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
148 reference(s)
69-IllusionConnaissance.02
147 reference(s)		 70-UlamSpiral.01.Ang
145 reference(s)
71-EntrelacsIntertwinings.01.Ang
145 reference(s)		 72-GoldenTriangle.01.Ang
144 reference(s)
73-ImpossibleStructures.01.Ang
143 reference(s)		 74-Galerie_DeterministicChaos.FV
143 reference(s)
75-PerteDeLAssociativite.01
142 reference(s)		 76-Galerie_SensitivityToRoundingOffErrors.FV
142 reference(s)
77-Galerie_ImagesDidactiques.FV
142 reference(s)		 78-Galerie_BestOf.FV
142 reference(s)
79-Exposition_EcolePolytechnique_FeteDeLaScience_201810
142 reference(s)		 80-NatureDesMathematiques.01.vv.Fra
141 reference(s)
81-Informations_GoodNewsAndBadNews.01.Fra
141 reference(s)		 82-Galerie_SignalProcessing.FV
141 reference(s)
83-FaireDesMathematiques.01.Fra
141 reference(s)		 84-Galerie_Astrophysics.FV
140 reference(s)
85-OrdinateursEtCalculs.01.Ang
139 reference(s)		 86-ImpossibleStructures.01.Fra
139 reference(s)
87-ImagesDuVirtuel.01.Fra.FV
139 reference(s)		 88-infinity.02.vv
138 reference(s)
89-RasoirDOccamEtMathematiques.01.vv.Fra
138 reference(s)		 90-EntrelacsIntertwinings.01.Fra
138 reference(s)
91-FaireConnaitre_FaireAimer_LesMathematiques.01.Fra
137 reference(s)		 92-Exposition_EcolePolytechnique_FeteDeLaScience_201510
137 reference(s)
93-PatrimoineHumanite.02.Fra
136 reference(s)		 94-Galerie_FluidMechanics.FV
136 reference(s)
95-Galerie_Tributes.FV
135 reference(s)		 96-DecimalesPi_100000.vv
135 reference(s)
97-An2000.02.Fra
135 reference(s)		 98-subject.01.
134 reference(s)
99-VirtualChaos.01.Fra
134 reference(s)		 100-OrdinateurMathematiquesArt.01.Fra
134 reference(s)
101-LesApprentisDieux.01
134 reference(s)		 102-AvantPropos.01.Fra
133 reference(s)
103-ExpV_VirE.Fra
132 reference(s)		 104-ManyChaos.01.Ang
131 reference(s)
105-DuModeleALImage.02.Fra
131 reference(s)		 106-HommageBenoitMandelbrot.21
130 reference(s)
107-ArtScience.01
130 reference(s)		 108-An2000.04.Fra
130 reference(s)
109-infinity.01.vv
129 reference(s)		 110-NombresEtLumiere.01.vv.Fra
129 reference(s)
111-ManyChaos.01.Fra
129 reference(s)		 112-IllusionConnaissance.01
129 reference(s)
113-Commentaires_DefinitionQuaternions.01
129 reference(s)		 114-OrdinateursEtCalculs.01.Fra
128 reference(s)
115-MonodimensionalCellularAutomata.01.Ang
128 reference(s)		 116-MathematiquesPhysiqueFractales.02.1
128 reference(s)
117-Fractal.02
128 reference(s)		 118-EnsembleDesGaleries.DIAPO.0001
128 reference(s)
119-create.03.
126 reference(s)		 120-PerteDeLAssociativite.01.ADD3
126 reference(s)
121-ExpV_VirE.Ang
126 reference(s)		 122-EnsembleDesGaleriesFractales.DIAPO.0001
126 reference(s)
123-VirtualChaos.01.Ang
125 reference(s)		 124-PerteDeLAssociativite.01.MUL3
125 reference(s)
125-NombresPremiers_10000.vv
125 reference(s)		 126-MathematiquesModeleOutilArtiste.02.Ang
125 reference(s)
127-ArtEtMathematiques.01
125 reference(s)		 128-xDarchivesG__SMC__sources__utilitaires_____SI_ASSYS
124 reference(s)

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Copyright © Jean-François COLONNA, 2019-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2023.