Monthly Best Of on 06/28/2026




12 evenly distributed points on a sphere -an Icosahedron- by means of simulated annealing

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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Contents of this page:


1-The 128 most referenced Pictures (*):

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



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-281 reference(s)		The eroded Menger Sponge -iteration 3-
2-273 reference(s)		Quark and gluon structure of a nucleon
3-169 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
4-157 reference(s)
The Lorenz attractor
5-156 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of one of the 2339 pentominos 6x10 puzzle
6-142 reference(s)		Artistic view of the prime numbers
7-141 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-140 reference(s)
The tiling of a 6x10 rectangle by means of the 12 different pentominos
9-134 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
10-125 reference(s)		A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...)-base 10- with 33.333 time steps
11-124 reference(s)		Tridimensional display of the particle trajectories of bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
12-113 reference(s)
A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives. More than 50 years of progress in computer science -hardware and software-
13-112 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
14-112 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
15-112 reference(s)		Quark and gluon structure of a nucleon
16-110 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
17-107 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
18-106 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
19-106 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
20-105 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)
21-104 reference(s)		Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
22-104 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
23-104 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
24-103 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
25-101 reference(s)		Animation of a sunrise on mountains
26-101 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
27-100 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
28-99 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
29-98 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
30-98 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
31-98 reference(s)		Rotation about the X axis of the Lorenz attractor
32-98 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Earth point of view-
33-97 reference(s)		The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
34-97 reference(s)		Tridimensional fractal surface (bird's-eye view)
35-97 reference(s)		Alien
36-95 reference(s)
From Pluto to the Sun (non linear scales)
37-95 reference(s)		Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
38-95 reference(s)		16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
39-94 reference(s)		Cauliflowers, seaweeds, shells,... with fog
40-94 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
41-93 reference(s)		Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
42-93 reference(s)		2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
43-93 reference(s)		An elementary monodimensional binary cellular automaton -110- with 49 white starting points -on the bottom line-
44-93 reference(s)
The 'Y' Pentomino
45-92 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
46-92 reference(s)		The iterative process used to generate fractal mountains (16 iterations)
47-92 reference(s)		Peace
48-91 reference(s)
The Proth-Gilbreath Conjecture -display of the process for the 64 first prime numbers-
49-91 reference(s)		The 'I' Pentomino
50-90 reference(s)		N-body problem integration (N=10)displaying the actual Solar System, our Earth being at the origin of the coordinates
51-90 reference(s)		The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
52-90 reference(s)
A quaternionic Julia set -tridimensional cross-section-
53-90 reference(s)		A shell (Jeener surface 1)
54-90 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
55-89 reference(s)		The random walk of photons escaping the Sun
56-89 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
57-89 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
58-89 reference(s)		N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
59-89 reference(s)		The Birth of the Universe
60-89 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
61-89 reference(s)		An arbitrary surface (Jeener surface 2)in motion
62-88 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
63-88 reference(s)		Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
64-88 reference(s)
The foggy Babel Tower -a Tribute to Brueghel the Elder-
65-87 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
66-87 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
67-87 reference(s)		Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
68-87 reference(s)
The 'V' Pentomino
69-86 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
70-86 reference(s)		N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
71-86 reference(s)		N-body problem integration (N=10)displaying the actual Solar System
72-86 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
73-86 reference(s)		Bidimensional visualization of the Verhulst dynamics
74-86 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
75-85 reference(s)		Along the border of the Mandelbrot set
76-85 reference(s)
Botticelli anomaly on the Moon
77-85 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
78-85 reference(s)		Synthesis of tridimensional textures by means of a fractal process
79-85 reference(s)		The iterative process used to generate fractal mountains (16 iterations and bird's-eye view)
80-85 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
81-85 reference(s)		The Lorenz attractor in motion
82-84 reference(s)		The normal field of a shell (Jeener surface 1)
83-84 reference(s)		The generalized Ulam spiral displaying 100 numbers
84-83 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
85-83 reference(s)		Inside the Gate
86-83 reference(s)		True colors autostereogram of a fractal landscape
87-83 reference(s)		Tridimensional visualization of the Verhulst dynamics
88-83 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
89-83 reference(s)		A foggy pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) and with a rotation about the Y axis -tridimensional cross-section-
90-83 reference(s)		Quaternionic Julia island
91-83 reference(s)		Isotropic random walk of 4 particles on a bidimensional square lattice with display of their gravity center -white particle-
92-82 reference(s)
The 'X' Pentomino
93-82 reference(s)		The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
94-82 reference(s)		N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
95-82 reference(s)		Triple impossible staircase
96-82 reference(s)
A shell (Jeener surface 1)in motion
97-82 reference(s)		The snake swallows its own tail
98-82 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
99-82 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
100-82 reference(s)
World Mathematical Year 2000
101-81 reference(s)		A tridimensional field made of the Menger Sponge -iteration 5-
102-81 reference(s)		Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
103-81 reference(s)		Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
104-81 reference(s)
A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...)with 492 more digits defining a helix -base 10- with 33.497 time steps
105-81 reference(s)		The 'T' Pentomino
106-81 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
107-81 reference(s)		A quaternionic Julia set -tridimensional cross-section-
108-81 reference(s)
Translation along the three axes of a tridimensional fractal structure in a tridimensional torus
109-81 reference(s)		Synthesis of periodical tridimensional textures by means of a fractal process
110-81 reference(s)		Zoom in on the von Koch curve
111-80 reference(s)		Reconstruction of a 2D structure -the map of France-
112-80 reference(s)
The 'U' Pentomino
113-80 reference(s)		A 6x10 rectangle made of 60 squares
114-80 reference(s)		Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
115-80 reference(s)		A quaternionic Julia set -tridimensional cross-section-
116-80 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
117-80 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
118-80 reference(s)		The Proth-Gilbreath Conjecture -display of the G(Pi(x)) function for x E [1.2x10^15,1.3x10^15]-
119-80 reference(s)		From the infinitely small to the infinitely big
120-80 reference(s)
Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
121-79 reference(s)		Particles in a bidimensional box submitted to a repulsive central field of gravity
122-79 reference(s)		The generalized Ulam spiral
123-79 reference(s)		Cloud dynamics -this sequence being periodical- (bird's-eye view)
124-79 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
125-79 reference(s)		An arbitrary surface (Jeener surface 2)
126-79 reference(s)		A punched card (actual size: 187x82 millimeters)
127-79 reference(s)		Bidimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and its 'external border' -white-
128-79 reference(s)




2-The 128 most referenced Pages (*):

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



1-xiirv_____.nota.t.
3352 reference(s)		2-VAcatalogue.11
3267 reference(s)
3-Vcatalogue.11
3242 reference(s)		4-AVirtualSpaceTimeTravelMachine.Ang
2979 reference(s)
5-xiirf_____.nota.t.
2275 reference(s)		6-xiirc_____.nota.t.
1050 reference(s)
7-xiirs_____.nota.t.
945 reference(s)		8-Pcatalogue.11
700 reference(s)
9-IAGenerativesImages.01.Ang
629 reference(s)		10-IAGenerativesImages.01.Fra
600 reference(s)
11-subject.01.
596 reference(s)		12-help.
519 reference(s)
13-demo_14
514 reference(s)		14-Galerie_DeterministicFractalGeometry.FV
399 reference(s)
15-Galerie_PALETTES_A
391 reference(s)		16-xiia_____.nota.t.
384 reference(s)
17-catalogue.11
374 reference(s)		18-Galerie_NumberTheory.FV
367 reference(s)
19-An2000.01.Fra
358 reference(s)		20-VCcatalogue.11
355 reference(s)
21-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
344 reference(s)		22-Galerie_NumbersAndLight.FV
341 reference(s)
23-MorePages.Ang.
339 reference(s)		24-Galerie_ArtisticCreation.FV
339 reference(s)
25-ImagesDuVirtuel.01.Fra
328 reference(s)		26-Galerie_GeneralitiesVisualization.FV
318 reference(s)
27-Galerie_RCMGalerie.FV
308 reference(s)		28-DroitDeReponse.01.Fra
308 reference(s)
29-present.01.
307 reference(s)		30-MathematiquesPhysiqueFractales.22
304 reference(s)
31-mail.01.vv
303 reference(s)		32-NombresEtLumiere.02.vv.Ang
293 reference(s)
33-ExpV_VirE.11
271 reference(s)		34-xiirk_____.nota.t.
268 reference(s)
35-xiac_____.nota.t.
268 reference(s)		36-xiak_____.nota.t.
264 reference(s)
37-ChatGPT.01.Fra
261 reference(s)		38-copyright.01.
260 reference(s)
39-Galerie_NewPictures.FV
254 reference(s)		40-FloatingPointNumbers.01.Fra
250 reference(s)
41-xiirC_____.nota.t.
246 reference(s)		42-ExpV_VirE.Fra
244 reference(s)
43-MorePages.Fra.
242 reference(s)		44-GenieLogiciel.01.Fra
241 reference(s)
45-ImagesDuVirtuel.01.Fra.FV
240 reference(s)		46-ChatGPT.11.Fra
239 reference(s)
47-Galerie_ImagesDesMathematiques.FV
235 reference(s)		48-Fractal.11
235 reference(s)
49-Galerie_ParticleSystems.FV
231 reference(s)		50-LOG_xiMc.11
229 reference(s)
51-Galerie_CollaborativeWorks..FV
223 reference(s)		52-MathematiquesPhysiqueFractales.02
221 reference(s)
53-Galerie_ArtAndScience.FV
220 reference(s)		54-ExpV_VirE.Ang
219 reference(s)
55-create.03.
215 reference(s)		56-Galerie_NumberTheory
213 reference(s)
57-NDimensionalDeterministicFractalSets.01.Fra
211 reference(s)		58-xias_____.nota.t.
207 reference(s)
59-Galerie_BestOf.FV
207 reference(s)		60-AnimFractal.01.
207 reference(s)
61-LeParadoxeDeFermi.01.Fra
205 reference(s)		62-EntrelacsIntertwinings.01.Fra
198 reference(s)
63-SurfaceProjector.01.Ang
197 reference(s)		64-Galerie_DeterministicFractalGeometry
196 reference(s)
65-xiav_____.nota.t.
193 reference(s)		66-xiaf_____.nota.t.
193 reference(s)
67-DieuScience.01.Fra
193 reference(s)		68-MathematiquesPhysiqueFractales.12
191 reference(s)
69-ChatGPT.11.Ang
191 reference(s)		70-NDimensionalDeterministicFractalSets.01.Ang
189 reference(s)
71-ComplexiteStructurelleClassements.11
184 reference(s)		72-Informations_GoodNewsAndBadNews.01.Fra
183 reference(s)
73-AProposSite.01.Fra
183 reference(s)		74-ComplexiteStructurelleClassements.01
182 reference(s)
75-AVirtualSpaceTimeTravelMachine.Fra
181 reference(s)		76-FloatingPointNumbers.01.Ang
180 reference(s)
77-Galerie_TextureSynthesis.FV
179 reference(s)		78-Galerie_CelestialMechanics.FV
179 reference(s)
79-Autostereograms.01.
179 reference(s)		80-RealNumbers.01.Fra
177 reference(s)
81-EntrelacsIntertwinings.01.Ang
177 reference(s)		82-LesApprentisDieux.01
175 reference(s)
83-SurfaceProjector.01.Fra
173 reference(s)		84-Proth_Gilbreath_Conjecture.01.Ang
172 reference(s)
85-DuModeleALImage.02.Fra
171 reference(s)		86-ChatGPT.01.Ang
171 reference(s)
87-Galerie_PALETTES_C
169 reference(s)		88-Galerie_Pi.FV
168 reference(s)
89-GenieLogiciel_VisualisationScientifique.01.vv
165 reference(s)		90-NatureDesMathematiques.01.vv.Fra
164 reference(s)
91-Galerie_ImagesEssentiellesDesMathematiques.FV
164 reference(s)		92-Galerie_DeterministicChaos.FV
160 reference(s)
93-VirtualChaos.01.Fra
159 reference(s)		94-An2038.01.Fra
158 reference(s)
95-MonodimensionalCellularAutomata.01.Fra
157 reference(s)		96-Stereogrammes_AutoStereogrammes.01
156 reference(s)
97-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
156 reference(s)		98-Informations_GoodNewsAndBadNews.01.Ang
156 reference(s)
99-Proth_Gilbreath_Conjecture.01.Fra
154 reference(s)		100-MathematiquesPhysiqueFractales.02.27
154 reference(s)
101-MesExpositionsPassees.01
153 reference(s)		102-LesCourbesRemplissantes.02.Fra
153 reference(s)
103-ImpossibleStructures.01.Fra
153 reference(s)		104-AVirtualSpaceTimeTravelMachine.Fra.FV
153 reference(s)
105-UlamSpiral.01.Ang
152 reference(s)		106-An2038.01.Ang
152 reference(s)
107-ImpossibleStructures.01.Ang
150 reference(s)		108-Fractal.01
149 reference(s)
109-PerteDeLAssociativite.01
147 reference(s)		110-Galerie_PALETTES
146 reference(s)
111-Galerie_ArtisticCreation
146 reference(s)		112-GoldenTriangle.01.Fra
145 reference(s)
113-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
145 reference(s)		114-DieuScience.01.Ang
143 reference(s)
115-Le_Chat.01.Fra
142 reference(s)		116-Claude.01.Fra
142 reference(s)
117-AVirtualSpaceTimeTravelMachine.Ang.FV
142 reference(s)		118-UlamSpiral.01.Fra
141 reference(s)
119-Informations_AboutPicturesAnimationsAndFiles.01.Ang
141 reference(s)		120-Galerie_Astrophysics.FV
141 reference(s)
121-Le_Chat.01.Ang
140 reference(s)		122-LeParadoxeDeFermi.01.Ang
140 reference(s)
123-Kepler.02.
140 reference(s)		124-OrdinateursEtCalculs.01.Fra
139 reference(s)
125-DEuclideAuGPS.01.Ang
139 reference(s)		126-VirtualChaos.01.Ang
137 reference(s)
127-demo_14.FV
136 reference(s)		128-Galerie_QuantumMechanics.FV
136 reference(s)

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




Copyright © Jean-François COLONNA, -2026.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, -2026.