Monthly Best Of on 11/28/2020




Linear landscape interpolation

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 11/28/2020 and last updated on 10/03/2024 17:04:10 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The random walk of photons escaping the Sun
1-73 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
2-66 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
3-60 reference(s)		The random walk of photons escaping the Sun
4-59 reference(s)
The Bonan-Jeener-Klein triple bottle
5-58 reference(s)		The random walk of photons escaping the Sun
6-56 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
7-55 reference(s)		Autostereogram with an hidden volcano
8-51 reference(s)
Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
9-51 reference(s)		The bidimensional John Conway's life game
10-51 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
11-50 reference(s)		The Ulam spiral
12-49 reference(s)
Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
13-47 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
14-47 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 50% infection, starting with just one infected person -red particle on bottom left picture-
15-46 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
16-46 reference(s)
The 'exponential' spreading of a tridimensional epidemic -the COVID-19 coronavirus?- without confinement -1430 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
17-45 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 50% infection, starting with just one infected person -red particle on bottom left picture-
18-45 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 100% infection, starting with just one infected person -red particle on bottom left picture-
19-45 reference(s)		Tridimensional zoom in on the Mandelbrot set
20-45 reference(s)
Happy new year 2000
21-45 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
22-44 reference(s)		Tridimensional texture animation by means of the Generalized Product
23-43 reference(s)		The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
24-43 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-
25-43 reference(s)		The Möbius strip
26-43 reference(s)		Bidimensional geometrical texture animation
27-42 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
28-42 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
29-42 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
30-42 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
31-42 reference(s)		Bidimensional texture animation by means of the Generalized Product
32-42 reference(s)
From Mars to the Sun
33-42 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
34-41 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
35-41 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-41 reference(s)
The Jeener-Klein triple bottle
37-41 reference(s)		Artistic view of the prime numbers
38-39 reference(s)		A 4-cube -an hypercube-
39-35 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
40-34 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
41-34 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
42-30 reference(s)		Quantum vacuum fluctuations
43-29 reference(s)		The Universe at the heart of a Calabi-Yau manifold
44-29 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
45-29 reference(s)		Autostereogram with an hidden volcano
46-28 reference(s)		From 'geocentrism' to 'heliocentrism'
47-27 reference(s)		An aperiodic Penrose tiling of the plane
48-26 reference(s)
Pseudo Olympic Rings
49-26 reference(s)		The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
50-26 reference(s)		The first four iterations of the construction of the von Koch snowflake
51-25 reference(s)		The generalized Ulam spiral displaying 100 numbers
52-25 reference(s)
The generalized Ulam spiral
53-25 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
54-24 reference(s)		The generalized Ulam spiral displaying 1024 numbers
55-23 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
56-23 reference(s)
Autostereogram of the CMAP
57-22 reference(s)		Fractal natural form
58-22 reference(s)		A bidimensional fractal field
59-22 reference(s)		Hypercube
60-22 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
61-22 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
62-22 reference(s)		Autostereogram with an hidden volcano
63-21 reference(s)		A 'hyperbolic' Horner surface 2 of the second degree
64-21 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
65-21 reference(s)		An aperiodic Penrose tiling of the plane
66-20 reference(s)		Synthesis of bidimensional geometrical textures
67-20 reference(s)		Intertwining based on the geometry of the sphere
68-20 reference(s)
Autostereogram with an hidden ring and ghost bows
69-20 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-20 reference(s)		Complexity, Connectivity and Consciousness -64 nodes-
71-20 reference(s)		The Sierpinski Carpet -iteration 3-
72-19 reference(s)
The Sierpinski Carpet -iteration 1-
73-19 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
74-19 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
75-19 reference(s)		An aperiodic Penrose tiling of the plane
76-18 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
77-18 reference(s)		The Sierpinski Carpet -iteration 5-
78-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
79-18 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
80-18 reference(s)
'Organic' network -64 nodes-
81-18 reference(s)		An aperiodic Penrose tiling of the plane
82-17 reference(s)		Autostereogram with an hidden volcano
83-17 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
84-17 reference(s)
Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
85-17 reference(s)		Black dots on a square lattice
86-17 reference(s)		A fractal Klein bottle
87-17 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
88-17 reference(s)
The Jeener-Klein triple bottle
89-17 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
90-16 reference(s)		Quantum vacuum fluctuations
91-16 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
92-16 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
93-16 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
94-16 reference(s)		The double reflection -green- of a small regular tetrahedron -center red-
95-16 reference(s)		The Klein bottle defined by means of three bidimensional fields
96-16 reference(s)
The Scream -a Tribute to Edvard Munch-
97-16 reference(s)		A tridimensional pseudo-random walk defined by means of the Champernowne number -using all prime numbers-: 0.2 3 5 7 11 13 17 19 23 29 31... -168.982 digits, base 10- into 122525... -217.156 digits, base 6-
98-16 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
99-16 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
100-16 reference(s)
Sixteen interlaced fractal torus
101-16 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
102-16 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
103-16 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
104-15 reference(s)
The Boy surface
105-15 reference(s)		A pay slip
106-15 reference(s)		True colors autostereogram of a fractal landscape
107-15 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
108-15 reference(s)
Quark and gluon structure of a nucleon
109-15 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
110-15 reference(s)		An extended foggy 'MandelBox' -tridimensional cross-section-
111-15 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 411678
112-15 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
113-15 reference(s)		The dynamics of the diffusion process in a bidimensional medium obtained by means of a random walk process
114-15 reference(s)		A truncated quadrimensional Calabi-Yau manifold with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
115-15 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
116-15 reference(s)
An aperiodic Penrose tiling of the plane
117-14 reference(s)		A tridimensionally distorded aperiodic Penrose tiling of the plane
118-14 reference(s)		Autostereogram with an hidden ring and ghost bows
119-14 reference(s)		From Pluto to the Sun (non linear scales)
120-14 reference(s)
An arbitrary surface (Jeener surface 2)in motion
121-14 reference(s)		The Lorenz attractor
122-14 reference(s)		1-foil torus knot -obvious knot- on its torus and its asociated Möbius strip
123-14 reference(s)		A 'hyperbolic' Horner surface 1 of the second degree
124-14 reference(s)
A 'circular' Horner surface of the second degree
125-14 reference(s)		A shell (Jeener surface 1)in motion
126-14 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
127-14 reference(s)		From the infinitely small to the infinitely big
128-14 reference(s)




2-The 128 most referenced Pages (*):

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



1-demo_14
564 reference(s)		2-AVirtualSpaceTimeTravelMachine.Ang
434 reference(s)
3-An2000.01.Fra
329 reference(s)		4-Galerie_NumberTheory.FV
304 reference(s)
5-RealNumbers.01.Fra
219 reference(s)		6-help.
217 reference(s)
7-Galerie_GeneralitiesVisualization.FV
212 reference(s)		8-Fractal.01
208 reference(s)
9-GoldenTriangle.01.Fra
206 reference(s)		10-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
202 reference(s)
11-Galerie_ArtisticCreation.FV
194 reference(s)		12-Galerie_ParticleSystems.FV
189 reference(s)
13-AProposSite.01.Fra
187 reference(s)		14-SurfaceProjector.01.Ang
181 reference(s)
15-Vcatalogue.11
180 reference(s)		16-genielogiciel
177 reference(s)
17-an2000
177 reference(s)		18-realnumbers
176 reference(s)
19-logiciel
176 reference(s)		20-Stereogrammes_AutoStereogrammes.01
176 reference(s)
21-Galerie_ArtAndScience.FV
176 reference(s)		22-nombresreels
175 reference(s)
23-demo14
174 reference(s)		24-demo
174 reference(s)
25-demo.14
173 reference(s)		26-UlamSpiral.01.Fra
172 reference(s)
27-mail.01.vv
170 reference(s)		28-GenieLogiciel_VisualisationScientifique.01.vv
170 reference(s)
29-FloatingPointNumbers.01.Fra
166 reference(s)		30-ExpV_VirE.11
163 reference(s)
31-Galerie_DeterministicFractalGeometry.FV
160 reference(s)		32-MorePages.
158 reference(s)
33-copyright.01.
155 reference(s)		34-Galerie_CelestialMechanics.FV
154 reference(s)
35-Fractal.11
154 reference(s)		36-LOG_xiMc.11
153 reference(s)
37-Galerie_ImagesDesMathematiques.FV
152 reference(s)		38-Fractal.21
150 reference(s)
39-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
148 reference(s)		40-AVirtualSpaceTimeTravelMachine.Fra
146 reference(s)
41-Galerie_NewPictures.FV
145 reference(s)		42-Galerie_QuantumMechanics.FV
144 reference(s)
43-DieuScience.01.Fra
144 reference(s)		44-DecimalesPi_1_100.vv
144 reference(s)
45-AnimFractal.01.
142 reference(s)		46-NDimensionalDeterministicFractalSets.01.Ang
140 reference(s)
47-Galerie_TextureSynthesis.FV
140 reference(s)		48-FloatingPointNumbers.01.Ang
140 reference(s)
49-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
140 reference(s)		50-subject.01.
139 reference(s)
51-EntrelacsIntertwinings.01.Ang
139 reference(s)		52-present.01.
138 reference(s)
53-SurfaceProjector.01.Fra
138 reference(s)		54-GenieLogiciel.01.Fra
138 reference(s)
55-Galerie_SensitivityToRoundingOffErrors.FV
138 reference(s)		56-Galerie_Astrophysics.FV
138 reference(s)
57-Galerie_BestOf.FV
137 reference(s)		58-MonodimensionalCellularAutomata.01.Fra
136 reference(s)
59-MathematiquesPhysiqueFractales.02
136 reference(s)		60-Exposition_EcolePolytechnique_FeteDeLaScience_201910
136 reference(s)
61-Informations_AboutPicturesAnimationsAndFiles.01.Ang
135 reference(s)		62-GoldenTriangle.01.Ang
135 reference(s)
63-Galerie_Tributes.FV
135 reference(s)		64-ImagesDuVirtuel.01.Fra.FV
134 reference(s)
65-MathematiquesPhysiqueFractales.22
132 reference(s)		66-Galerie_ImagesDidactiques.FV
132 reference(s)
67-Commentaires_SurfaceHornerHyperbolique.01
132 reference(s)		68-PerteDeLAssociativite.01
131 reference(s)
69-Galerie_FluidMechanics.FV
131 reference(s)		70-FaireDeLaRecherche.01.vv
131 reference(s)
71-OrdinateursEtCalculs.01.Ang
130 reference(s)		72-NombresEtLumiere.01.vv.Fra
130 reference(s)
73-MathematiquesPhysiqueFractales.12
130 reference(s)		74-Kepler.02.
130 reference(s)
75-infinity.01.vv
129 reference(s)		76-Galerie_DeterministicChaos.FV
129 reference(s)
77-BEST.20160928
129 reference(s)		78-NDimensionalDeterministicFractalSets.01.Fra
128 reference(s)
79-EntrelacsIntertwinings.01.Fra
128 reference(s)		80-BEST.20140128
128 reference(s)
81-Autostereograms.01.
128 reference(s)		82-create.03.
127 reference(s)
83-MonodimensionalCellularAutomata.01.Ang
127 reference(s)		84-IllusionConnaissance.02
127 reference(s)
85-BEST.20170228
127 reference(s)		86-BEST.20160128
127 reference(s)
87-UlamSpiral.01.Ang
126 reference(s)		88-Pcatalogue.11
126 reference(s)
89-NatureDesMathematiques.01.vv.Fra
126 reference(s)		90-ImpossibleStructures.01.Ang
126 reference(s)
91-BEST.20160228
126 reference(s)		92-BEST.20150828
126 reference(s)
93-Galerie_SignalProcessing.FV
125 reference(s)		94-ConjectureDeSyracuse_0256.vv
125 reference(s)
95-BEST.20130628
125 reference(s)		96-BEST.20170528
124 reference(s)
97-BEST.20151028
124 reference(s)		98-BEST.20140828
124 reference(s)
99-BEST.20140628
124 reference(s)		100-BEST.20130828
124 reference(s)
101-BEST.20130428
124 reference(s)		102-PerteDeLAssociativite.01.ADD3
123 reference(s)
103-BEST.20171028
123 reference(s)		104-BEST.20170428
123 reference(s)
105-BEST.20160728
123 reference(s)		106-infinity.02.vv
122 reference(s)
107-RasoirDOccamEtMathematiques.01.vv.Fra
122 reference(s)		108-Informations_GoodNewsAndBadNews.01.Fra
122 reference(s)
109-BEST.20170928
122 reference(s)		110-BEST.20170828
122 reference(s)
111-BEST.20150928
122 reference(s)		112-BEST.20141228
122 reference(s)
113-BEST.20141028
122 reference(s)		114-ExpV_VirE.21
121 reference(s)
115-ConjectureDeSyracuse_0128.Parity.vv
121 reference(s)		116-BEST.20170128
121 reference(s)
117-BEST.20150628
121 reference(s)		118-BEST.20071128
121 reference(s)
119-An2000.11.Fra
121 reference(s)		120-AQuoiServentLesMathematiques.01
121 reference(s)
121-ManyChaos.01.Ang
120 reference(s)		122-Informations_GoodNewsAndBadNews.01.Ang
120 reference(s)
123-Galerie_NumbersAndLight.FV
120 reference(s)		124-DecimalesPi_100000.vv
120 reference(s)
125-DecimalesDePi.01.Fra
120 reference(s)		126-Commentaires_SurfaceHornerHyperbolique.02
120 reference(s)
127-BEST.20140728
120 reference(s)		128-xtc_____HexagonesPremiers.01.vv.c.
119 reference(s)

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




Copyright © Jean-François COLONNA, 2020-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2020-2024.