Monthly Best Of on 01/28/2016




Fractal synthesis of mountains with vegetation and stormy clouds

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

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(CMAP28 WWW site: this page was created on 01/28/2016 and last updated on 10/03/2024 17:03:10 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



Hypercube
1-1067 reference(s)		Happy new year 2000
2-713 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-703 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
4-473 reference(s)
Bidimensional Hilbert Curve -iteration 4-
5-320 reference(s)		Autostereogram with an hidden volcano
6-304 reference(s)		True colors autostereogram of a fractal landscape
7-304 reference(s)		The random walk of photons escaping the Sun
8-287 reference(s)
Tridimensional Hilbert Curve -iteration 3-
9-226 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
10-215 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
11-210 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
12-207 reference(s)
Autostereogram with an hidden volcano
13-202 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
14-191 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-174 reference(s)		Sixteen interlaced torus
16-159 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
17-155 reference(s)		The Bonan-Jeener-Klein triple bottle
18-140 reference(s)		The Jeener-Klein triple bottle
19-122 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
20-110 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
21-109 reference(s)		Reconstruction of a 3D structure -a cubic lattice-
22-109 reference(s)		The random walk of photons escaping the Sun
23-107 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-107 reference(s)
Autostereogram with an hidden volcano
25-95 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
26-90 reference(s)		A Peano 'fractal plane' defined by means of three bidimensional fields
27-89 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
28-86 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
29-85 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
30-85 reference(s)		Quark and gluon structure of a nucleon
31-83 reference(s)		The random walk of photons escaping the Sun
32-81 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
33-81 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
34-81 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
35-75 reference(s)		Artistic view of the prime numbers
36-69 reference(s)
The generalized Ulam spiral
37-67 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
38-66 reference(s)		Quantum vacuum fluctuations
39-65 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
40-62 reference(s)
An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi'
41-57 reference(s)		The bidimensional John Conway's life game
42-55 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
43-52 reference(s)		An aperiodic Penrose tiling of the plane
44-49 reference(s)
Fractal natural form
45-49 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
46-48 reference(s)		From Mars to the Sun
47-48 reference(s)		From 'geocentrism' to 'heliocentrism'
48-48 reference(s)
Autostereogram with an hidden volcano
49-47 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
50-47 reference(s)		The Möbius strip
51-47 reference(s)		Autostereogram with an hidden volcano
52-46 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
53-46 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
54-46 reference(s)		Bidimensional geometrical texture animation
55-44 reference(s)		Tridimensional zoom in on the Mandelbrot set
56-44 reference(s)
Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
57-44 reference(s)		Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
58-44 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
59-43 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-
60-43 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
61-43 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-42 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
63-42 reference(s)		Bidimensional texture animation by means of the Generalized Product
64-42 reference(s)
Autostereogram of Monument Valley
65-42 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
66-41 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
67-41 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
68-41 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
69-41 reference(s)		Zoom in on the von Koch curve
70-40 reference(s)		Tridimensional texture animation by means of the Generalized Product
71-40 reference(s)		A fractal hypercube
72-40 reference(s)
Sixteen interlaced fractal torus
73-40 reference(s)		Autostereogram with an hidden ring and ghost bows
74-39 reference(s)		Fractal natural form
75-39 reference(s)		The first four iterations of the construction of the von Koch snowflake
76-38 reference(s)
A quaternionic Julia set -tridimensional cross-section-
77-38 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
78-38 reference(s)		Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
79-37 reference(s)		From the infinitely small to the infinitely big
80-36 reference(s)
The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-
81-35 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
82-35 reference(s)		Pseudo Olympic Rings
83-33 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
84-33 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
85-32 reference(s)		Mountains and clouds
86-32 reference(s)		Animation of a natural form
87-31 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
88-31 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
89-30 reference(s)		The Scream -a Tribute to Edvard Munch-
90-30 reference(s)		Portrait (Lena)-with a 'OY' symmetry-
91-30 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-
92-30 reference(s)
Rotation about the Y (vertical)axis of the 7-foil torus knot on its torus, that can also be viewed as a set of 4x3 stereograms
93-30 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
94-30 reference(s)		La diagonale du Flou
95-28 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
96-27 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
97-26 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
98-26 reference(s)		Tridimensional view of the first four iterations of the construction of the von Koch snowflake
99-25 reference(s)		A punched paper tape
100-25 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
101-25 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
102-24 reference(s)		The Mathematics are the key of the Multiverse
103-24 reference(s)		Autostereogram with an hidden ring and ghost bows
104-24 reference(s)
From Pluto to the Sun -extrapolation 2-
105-24 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
106-24 reference(s)		The Klein bottle
107-23 reference(s)		The tower -a Tribute to Vladimir Tatline-
108-23 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
109-22 reference(s)		A pay slip
110-22 reference(s)		An Archimedes spiral displaying 10000 numbers
111-22 reference(s)		Mysterious structures in the desert
112-22 reference(s)
Sunny Monument Valley
113-22 reference(s)		Along the border of the Mandelbrot set
114-21 reference(s)		Quark and gluon dynamics of the nucleon
115-21 reference(s)		Intertwining based on the geometry of the Boy surface
116-20 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
117-20 reference(s)		Bidimensional zoom in on the Mandelbrot set
118-20 reference(s)		Impossible structure
119-20 reference(s)		Artistic view of the Big Bang
120-19 reference(s)
The generalized Ulam spiral displaying 100 numbers
121-19 reference(s)		Monument Valley à la David Hockney
122-19 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)
123-19 reference(s)		The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Mars-
124-19 reference(s)
Tridimensional Hilbert Curve -iterations 1 to 3-
125-19 reference(s)		A fractal aperiodic Penrose tiling
126-19 reference(s)		A set of 4x3 stereograms of a fractal hypercube
127-19 reference(s)		The 64 first lines of the Pascal's Triangle -modulo 7-
128-18 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
818 reference(s)		2-An2000.01.Fra
445 reference(s)
3-Stereogrammes_AutoStereogrammes.01
392 reference(s)		4-help.
387 reference(s)
5-mail.01.vv
361 reference(s)		6-FloatingPointNumbers.01.Fra
348 reference(s)
7-FaireDeLaRecherche.01.vv
330 reference(s)		8-RealNumbers.01.Fra
320 reference(s)
9-AVirtualSpaceTimeTravelMachine.Ang
309 reference(s)		10-Fractal.01
306 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
287 reference(s)		12-copyright.01.
261 reference(s)
13-AProposSite.01.Fra
258 reference(s)		14-Galerie_NumberTheory.FV
246 reference(s)
15-Kepler.02.
243 reference(s)		16-NombresEtLumiere.01.vv.Fra
240 reference(s)
17-Galerie_SignalProcessing.FV
236 reference(s)		18-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
233 reference(s)
19-MorePages.
232 reference(s)		20-GoldenTriangle.01.Fra
231 reference(s)
21-Galerie_ArtAndScience.FV
229 reference(s)		22-LesApprentisDieux.01
227 reference(s)
23-Galerie_DeterministicFractalGeometry.FV
227 reference(s)		24-RemarquesCerveau.01
224 reference(s)
25-Galerie_GeneralitiesVisualization.FV
223 reference(s)		26-FloatingPointNumbers.01.Ang
223 reference(s)
27-MonodimensionalCellularAutomata.01.Fra
222 reference(s)		28-Vcatalogue.11
221 reference(s)
29-Galerie_NewPictures.FV
220 reference(s)		30-ExpV_VirE.11
220 reference(s)
31-MathematiquesPhysiqueFractales.02
219 reference(s)		32-UlamSpiral.01.Fra
218 reference(s)
33-AQuoiServentLesMathematiques.01
218 reference(s)		34-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
217 reference(s)
35-MathematiquesEtCinematographe.01.vv
215 reference(s)		36-MathematiquesPhysiqueFractales.22
209 reference(s)
37-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
209 reference(s)		38-SurfaceProjector.01.Ang
207 reference(s)
39-NDimensionalDeterministicFractalSets.01.Fra
206 reference(s)		40-SurfaceProjector.01.Fra
204 reference(s)
41-PatrimoineHumanite.02.Fra
204 reference(s)		42-ImagesDuVirtuel.01.Fra.FV
197 reference(s)
43-GenieLogiciel.01.Fra
196 reference(s)		44-Fractal.03
196 reference(s)
45-Galerie_ArtisticCreation.FV
195 reference(s)		46-Fractal.11
194 reference(s)
47-NDimensionalDeterministicFractalSets.01.Ang
193 reference(s)		48-OrdinateursEtCalculs.01.Fra
191 reference(s)
49-NatureDesMathematiques.01.vv.Fra
190 reference(s)		50-Informations_GoodNewsAndBadNews.01.Fra
190 reference(s)
51-OrdinateursEtCalculs.01.Ang
189 reference(s)		52-ImpossibleStructures.01.Fra
189 reference(s)
53-EntrelacsIntertwinings.01.Fra
189 reference(s)		54-subject.01.
187 reference(s)
55-ImpossibleStructures.01.Ang
187 reference(s)		56-Galerie_DeterministicChaos.FV
186 reference(s)
57-AnimFractal.01.
186 reference(s)		58-infinity.01.vv
185 reference(s)
59-DieuScience.01.Fra
185 reference(s)		60-LOG_xiMc.11
183 reference(s)
61-MathematiquesModeleOutilArtiste.02.Ang
182 reference(s)		62-Galerie_SensitivityToRoundingOffErrors.FV
181 reference(s)
63-Galerie_Astrophysics.FV
180 reference(s)		64-EntrelacsIntertwinings.01.Ang
180 reference(s)
65-PerteDeLAssociativite.01
179 reference(s)		66-Autostereograms.01.
179 reference(s)
67-catalogue.11
178 reference(s)		68-Galerie_QuantumMechanics.FV
178 reference(s)
69-DuModeleALImage.02.Fra
178 reference(s)		70-Galerie_FluidMechanics.FV
177 reference(s)
71-present.01.
176 reference(s)		72-OrdinateurMathematiquesArt.01.Fra
176 reference(s)
73-Galerie_ParticleSystems.FV
176 reference(s)		74-VisitesGaleriesEnfouies.01.Fra
175 reference(s)
75-MiseEnSceneDesNombres.01.vv.Fra
175 reference(s)		76-IllusionConnaissance.02
175 reference(s)
77-Galerie_TextureSynthesis.FV
174 reference(s)		78-EnsembleDesGaleriesFractales.DIAPO.0001
174 reference(s)
79-VirtualChaos.01.Fra
173 reference(s)		80-MonodimensionalCellularAutomata.01.Ang
173 reference(s)
81-ManyChaos.01.Fra
173 reference(s)		82-Galerie_CelestialMechanics.FV
172 reference(s)
83-Galerie_BestOf.FV
172 reference(s)		84-AvantPropos.01.Fra
172 reference(s)
85-create.03.
171 reference(s)		86-Spheres.01
171 reference(s)
87-QuelquesQuestionsSurLaRecherche.01.Fra
170 reference(s)		88-GoldenTriangle.01.Ang
170 reference(s)
89-UlamSpiral.01.Ang
169 reference(s)		90-infinity.02.vv
168 reference(s)
91-VirtualChaos.01.Ang
168 reference(s)		92-VisualisationRelief.01.vv.Fra
167 reference(s)
93-VisitesGaleriesEnfouies.01.Ang
167 reference(s)		94-ManyChaos.01.Ang
167 reference(s)
95-realnumbers
165 reference(s)		96-nombresreels
165 reference(s)
97-demo
165 reference(s)		98-ExpV_VirE.Ang
165 reference(s)
99-logiciel
164 reference(s)		100-an2000
164 reference(s)
101-AvantPropos.01.Ang
164 reference(s)		102-genielogiciel
163 reference(s)
103-demo14
163 reference(s)		104-Fractal.02
163 reference(s)
105-demo.14
162 reference(s)		106-Galerie_Tributes.FV
162 reference(s)
107-EnsembleDesGaleries.DIAPO.0001
162 reference(s)		108-demo_14.FV
161 reference(s)
109-MiseEnSceneDesNombres.01.vv.Ang
159 reference(s)		110-MathematiquesEtRepresentations.01.vv.Ang
159 reference(s)
111-GenieLogiciel_VisualisationScientifique.01.vv
153 reference(s)		112-ComplexiteStructurelleClassements.01
153 reference(s)
113-Informations_AboutPicturesAnimationsAndFiles.01.Ang
150 reference(s)		114-PerteDeLAssociativite.01.ADD3
148 reference(s)
115-PerteDeLAssociativite.01.MUL3
143 reference(s)		116-ExpV_VirE.21
139 reference(s)
117-MathematiquesPhysiqueFractales.01
135 reference(s)		118-Galerie_ImagesDesMathematiques.FV
130 reference(s)
119-Galerie_NumbersAndLight.FV
127 reference(s)		120-Informations_AboutPicturesAnimationsAndFiles.01.Fra
124 reference(s)
121-AQuoiServentLesMathematiques.03
119 reference(s)		122-NombresEtLumiere.02.vv.Ang
118 reference(s)
123-ArtEtMathematiques.01
117 reference(s)		124-ImagesDuVirtuel.01.Fra
116 reference(s)
125-MOSA.JFC.F1.F2.20031207
115 reference(s)		126-HommageBenoitMandelbrot.21
114 reference(s)
127-DuModeleALImage.01.Fra
114 reference(s)		128-VisSci_SciVis.02
113 reference(s)

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




Copyright © Jean-François COLONNA, 2016-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2016-2024.