Monthly Best Of on 10/28/2026




Visualization of the areas where the density is greater than 0.12 during a tridimensional diffusion process of 71210 particles

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

[Site Map and Help [Plan du Site et Aide]]
[The Y2K Bug [Le bug de l'an 2000]]
[Are we ready for the Year 2038 [Notre informatique est-elle prête pour l'An 2038]?]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent pas dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find more than 10.000 pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 10/28/2026 and last updated on 10/28/2026 22:14:52 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-309 reference(s)		The Menger Sponge -iteration 5-
2-267 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
3-259 reference(s)		Fractal piano keyboard
4-257 reference(s)
Kepler attempt to associate the six known planets with the five Platonic Solids
5-255 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
6-243 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
7-238 reference(s)		Kepler attempt to associate the six known planets with the five Platonic Solids
8-237 reference(s)
The random walk of photons escaping the Sun
9-219 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
10-204 reference(s)		Artistic view of the prime numbers
11-204 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
12-204 reference(s)
The truncated regular Icosahedron or again the spherical Fullerene Molecule containing 60 Carbon atoms
13-200 reference(s)		The Lorenz attractor
14-196 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
15-195 reference(s)		Jean-François Colonna (on 11/17/1994)with its fractal mountains
16-194 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
17-186 reference(s)		The regular Dodecahedron, one of the 5 Platonic Solids
18-180 reference(s)		Kepler attempt to associate the six known planets with the five Platonic Solids
19-177 reference(s)		An elementary monodimensional binary cellular automaton -106- with 1 white starting point -bottom middle-
20-175 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
21-175 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
22-174 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-
23-174 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
24-171 reference(s)
The Proth-Gilbreath Conjecture -display of the G(Pi(x)) function for x E [1.1x10^15,1.2x10^15]-
25-171 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
26-161 reference(s)		The tiling of a 6x10 rectangle by means of the 12 different pentominos
27-156 reference(s)		The Proth-Gilbreath Conjecture -display of the process for the 1024 prime numbers following 100215...-
28-154 reference(s)
Tridimensional display of the Riemann Zeta function inside [-52.0,+52.0]x[-52.0,+52.0] (bird's-eye view)
29-152 reference(s)		A full-random extended Menger Sponge -iteration 5-
30-152 reference(s)		Mountains and fog
31-151 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
32-150 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
33-149 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
34-149 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our 'familiar' (randomly distorded)quadridimensional space-time?-
35-149 reference(s)		Botticelli anomaly on the Moon
36-148 reference(s)
Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
37-148 reference(s)		Untitled 0673
38-148 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our 'familiar' (randomly distorded)quadridimensional space-time?-
39-147 reference(s)		Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
40-146 reference(s)
Empty
41-145 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
42-142 reference(s)		A type 'B6-XYZ' pseudo-random walk defined by means of the 48 first 'decimals' of the transcendental Champernowne number -using all base 4 integer numbers-: 0.{1 2 3 4 5 1 0 1 1 1 2 1 3 1 4 1 5 2 0 2 1 2 2 2 3 2 4 2 5 3 0 3 1 3 2 3 3 3 4 3 5 4 0 4 1 4 2 4}
43-141 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
44-141 reference(s)
Tridimensional display of the inflationary Universe
45-141 reference(s)		A half-random extended Menger Sponge -iteration 5-
46-140 reference(s)		The truncated regular Icosahedron or again the spherical Fullerene Molecule containing 60 Carbon atoms
47-140 reference(s)		Synthesis of bidimensional texture by means of the Fourier filtering of a random process and a self-transformation
48-139 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
49-139 reference(s)		Kepler attempt to associate the six known planets with the five Platonic Solids
50-139 reference(s)		A pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
51-137 reference(s)		A simple geometrical periodical structure
52-134 reference(s)
The Sierpinski Carpet -iteration 1-
53-134 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our 'familiar' (randomly distorded)quadridimensional space-time?-
54-134 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
55-133 reference(s)		Artistic view of a pyramidal Menger Sponge computed by means of an 'Iterated Function System' -IFS-
56-132 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
57-132 reference(s)		Visualization of the Proth-Gilbreath Conjecture process for G(Pi(1.0025x10^15))=806.
58-132 reference(s)		The Cube -or again the Hexaedron-, one of the 5 Platonic Solids
59-132 reference(s)		Quantum vacuum fluctuations
60-131 reference(s)
The Proth-Gilbreath Conjecture -display of the process for the 1024 prime numbers following 121288...-
61-131 reference(s)		A recursive intertwining animation
62-130 reference(s)		The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
63-130 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)
64-130 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
65-130 reference(s)		The five Platonic Solids
66-130 reference(s)		The truncated regular Icosahedron or again the spherical Fullerene Molecule containing 60 Carbon atoms
67-130 reference(s)		The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
68-129 reference(s)
Hypercubic lattice
69-129 reference(s)		The Goldbach Conjecture for the even numbers from 6 to 1564
70-129 reference(s)		Fractal Notre-Dame de la Garde, Marseilles
71-129 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our 'familiar' (euclidian)quadridimensional space-time?-
72-129 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
73-128 reference(s)		The regular Tetrahedron, one of the 5 Platonic Solids
74-128 reference(s)		An intertwining animation
75-128 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
76-128 reference(s)
The complement of the Menger Sponge -iteration 2-
77-128 reference(s)		The Proth-Gilbreath Conjecture -display of the process for the 1024 prime numbers following 120662...-
78-128 reference(s)		The Cantor Triadic Set -iterations 0 to 5-
79-128 reference(s)		An intertwining animation
80-127 reference(s)
Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
81-127 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)
82-127 reference(s)		The regular Icosahedron, one of the 5 Platonic Solids
83-127 reference(s)		An intertwining animation
84-126 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
85-126 reference(s)		Mountains and fog
86-126 reference(s)		Fractal synthesis of mountains with vegetation and stormy clouds
87-126 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-
88-126 reference(s)
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
89-126 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
90-126 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
91-126 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
92-125 reference(s)
The first four iterations of the construction of the von Koch snowflake
93-125 reference(s)		Artistic view of the Big Bang
94-125 reference(s)		2.pi rotation about the Y axis of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set -tridimensional cross-section-
95-125 reference(s)		The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
96-125 reference(s)
The Menger Sponge -iteration 5-
97-125 reference(s)		'Pi' rotation about the Y axis of pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
98-125 reference(s)		Tridimensional Hilbert Curve -iterations 1 to 3-
99-125 reference(s)		The tree of life -a Tribute to the victims of the attacks in November 2015, Paris-
100-124 reference(s)
The Sierpinski Carpet -iteration 4-
101-124 reference(s)		From Pluto to the Sun (non linear scales)
102-124 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
103-124 reference(s)		A fractal aperiodic Penrose tiling
104-124 reference(s)
An amazing cross-section inside the Menger Sponge -iteration 1-
105-123 reference(s)		The Menger Sponge -iteration 2-
106-123 reference(s)		The Proth-Gilbreath Conjecture -display of the G(Pi(x)) function for x E [3*10^14,4*10^14]-
107-123 reference(s)		Where is the Universe?
108-122 reference(s)
Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
109-122 reference(s)		The regular Octahedron, one of the 5 Platonic Solids
110-122 reference(s)		The Goldbach Conjecture -the Goldbach Comet or the Goldbach Rainbow- for the even numbers from 6 to 41518
111-122 reference(s)		N-body problem integration (N=2)displaying a perfect Keplerian orbit
112-121 reference(s)
Iterations in the complex plane: the computation of the Mandelbrot set
113-121 reference(s)		The Proth-Gilbreath Conjecture -display of the process for the 256 prime numbers following 100000...-
114-121 reference(s)		Tridimensional heterogeneous fractal structure in a tridimensional torus
115-121 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
116-121 reference(s)
Tridimensional visualization of the ABC Conjecture
117-121 reference(s)		A monodimensional 'quasi-continuous' cellular automaton
118-121 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
119-120 reference(s)		From Pluto to the Sun -extrapolation 1- (non linear scales)
120-120 reference(s)
An amazing generalized cross-section inside the Menger Sponge -iteration 5-
121-120 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
122-120 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
123-120 reference(s)		The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-
124-120 reference(s)
The Continuum Hypothesis (CH)
125-120 reference(s)		The Goldbach Conjecture
126-120 reference(s)		The Proth-Gilbreath Conjecture -display of the process for the 256 prime numbers following 100000...-
127-120 reference(s)		The Proth-Gilbreath Conjecture -display of the G(Pi(x)) function for x E [9*10^14,10^15]-
128-120 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
10611 reference(s)		2-MorePages.Ang.
427 reference(s)
3-Vcatalogue.11
426 reference(s)		4-help.
372 reference(s)
5-ChatGPT.11.Ang
300 reference(s)		6-xrC_____OBJC.A3Q__1_______.11.DFractale.t.
279 reference(s)
7-Galerie_NumberTheory.FV
272 reference(s)		8-Galerie_DeterministicFractalGeometry.FV
270 reference(s)
9-Galerie_NewPictures.FV
252 reference(s)		10-Galerie_ArtisticCreation.FV
249 reference(s)
11-mail.01.vv
248 reference(s)		12-demo_14
248 reference(s)
13-An2000.01.Fra
238 reference(s)		14-xiirv_____.nota.t.
237 reference(s)
15-LOG_xiMc.11
237 reference(s)		16-Galerie_GeneralitiesVisualization.FV
233 reference(s)
17-AVirtualSpaceTimeTravelMachine.VersionComplete.Ang
232 reference(s)		18-MorePages.Fra.
227 reference(s)
19-IAGenerativesImages.01.Ang
226 reference(s)		20-Fractal.01
225 reference(s)
21-ChatGPT.11.Fra
213 reference(s)		22-AVirtualSpaceTimeTravelMachine.VersionComplete.Fra
213 reference(s)
23-Proth_Gilbreath_Conjecture.01.Ang
212 reference(s)		24-GilbreathConjecture.01.Ang
207 reference(s)
25-Informations_AboutPicturesAnimationsAndFiles.01.Ang
206 reference(s)		26-Galerie_ArtAndScience.FV
203 reference(s)
27-AnimFractal.01.
203 reference(s)		28-Pcatalogue.11
202 reference(s)
29-SurfaceProjector.01.Ang
200 reference(s)		30-ChatGPT.01.Fra
200 reference(s)
31-copyright.01.
197 reference(s)		32-IAGenerativesImages.01.Fra
196 reference(s)
33-An2038.01.Ang
191 reference(s)		34-DEuclideAuGPS.01.Ang
190 reference(s)
35-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
189 reference(s)		36-Galerie_ImagesDesMathematiques.FV
188 reference(s)
37-Galerie_PALETTES_A
183 reference(s)		38-FloatingPointNumbers.01.Ang
182 reference(s)
39-Autostereograms.01.
182 reference(s)		40-Galerie_CelestialMechanics.FV
179 reference(s)
41-ImpossibleStructures.01.Ang
177 reference(s)		42-Fractal.11
175 reference(s)
43-FloatingPointNumbers.01.Fra
174 reference(s)		44-Galerie_ParticleSystems.FV
172 reference(s)
45-VCcatalogue.11
171 reference(s)		46-Galerie_TextureSynthesis.FV
171 reference(s)
47-xiirf_____.nota.t.
166 reference(s)		48-DEuclideAuGPS.01.Fra
166 reference(s)
49-AuDelaDeNosMathematiques.01.Fra
166 reference(s)		50-Galerie_NewPictures
162 reference(s)
51-VisualisationDesNombres.01.Ang
161 reference(s)		52-DroitDeReponse.01.Fra
161 reference(s)
53-NDimensionalDeterministicFractalSets.01.Fra
160 reference(s)		54-ExpV_VirE.Ang
160 reference(s)
55-ExpV_VirE.11
160 reference(s)		56-NombresPremiers_10000.vv
159 reference(s)
57-NDimensionalDeterministicFractalSets.01.Ang
159 reference(s)		58-Fractal.21
158 reference(s)
59-Multivers.01.Fra
157 reference(s)		60-catalogue.11
156 reference(s)
61-MathematiquesPhysiqueFractales.02
155 reference(s)		62-AuDelaDeNosMathematiques.01.Ang
155 reference(s)
63-LesNombresTranscendants.01.Ang
154 reference(s)		64-Galerie_BestOf.FV
154 reference(s)
65-xiirc_____.nota.t.
152 reference(s)		66-SurfaceProjector.01.Fra
152 reference(s)
67-Proth_Gilbreath_Conjecture.01.Fra
152 reference(s)		68-create.03.
151 reference(s)
69-Galerie_CelestialMechanics
151 reference(s)		70-DieuScience.01.Ang
151 reference(s)
71-LesCourbesRemplissantes.01.Fra
150 reference(s)		72-xiirk_____.nota.t.
149 reference(s)
73-AlignementIA_RobotsAsimov.01.Fra
149 reference(s)		74-UlamSpiral.01.Ang
148 reference(s)
75-LeNoeudInfini.01.Ang
148 reference(s)		76-Galerie_Pi.FV
148 reference(s)
77-Galerie_IdMCNRS.FV
148 reference(s)		78-EntrelacsIntertwinings.01.Fra
148 reference(s)
79-present.01.
147 reference(s)		80-VirtualChaos.01.Ang
147 reference(s)
81-Claude.01.Ang
146 reference(s)		82-xiirs_____.nota.t.
145 reference(s)
83-Galerie_CollaborativeWorks..FV
145 reference(s)		84-An2038.01.Fra
144 reference(s)
85-GilbreathConjecture.01.Fra
141 reference(s)		86-DieuScience.01.Fra
141 reference(s)
87-xiav_____.nota.t.
140 reference(s)		88-MouvementBrownien.01.Fra
140 reference(s)
89-DecimalesPi_1_100.vv
140 reference(s)		90-Commentaires_DefinitionPseudoQuaternions.01
140 reference(s)
91-BilletDHumeur_IntelligenceArtificielle.01.Fra
140 reference(s)		92-AVirtualSpaceTimeTravelMachine.Fra
140 reference(s)
93-xiak_____.nota.t.
139 reference(s)		94-LeNoeudInfini.01.Fra
139 reference(s)
95-RemarquesCerveau.01
138 reference(s)		96-MathematiquesPhysiqueFractales.02.1.13
138 reference(s)
97-Galerie_RCMGalerie.FV
138 reference(s)		98-EnsembleDesGaleries.DIAPO
138 reference(s)
99-Notations_AppartientA.01
137 reference(s)		100-Galerie_NumbersAndLight.FV
137 reference(s)
101-DecimalesDePi.01.Fra
137 reference(s)		102-ComplexiteStructurelleClassements.11
137 reference(s)
103-VirtualChaos.01.Fra
136 reference(s)		104-Spheres.01
136 reference(s)
105-EntrelacsIntertwinings.01.Ang
136 reference(s)		106-ComplexiteStructurelleClassements.01
136 reference(s)
107-Exposition_EcolePolytechnique_FeteDeLaScience_202510
135 reference(s)		108-AlignementIA_RobotsAsimov.01.Ang
135 reference(s)
109-Galerie_DeterministicChaos.FV
134 reference(s)		110-RealNumbers.01.Fra
133 reference(s)
111-Galerie_QuantumMechanics.FV
133 reference(s)		112-WelcomeToMars.01.Ang
132 reference(s)
113-Stereogrammes_AutoStereogrammes.01
132 reference(s)		114-MathematiquesPhysiqueFractales.02.1
132 reference(s)
115-LesNombresTranscendants.01.Fra
132 reference(s)		116-MathematiquesPhysiqueFractales.12
131 reference(s)
117-LesCourbesRemplissantes.02.Ang
131 reference(s)		118-GenieLogiciel.01.Fra
131 reference(s)
119-Galerie_ArtAndScience
131 reference(s)		120-MouvementBrownien.01.Ang
130 reference(s)
121-xiii_____contours.def.
128 reference(s)		122-MathematiquesPhysiqueFractales.02.27
127 reference(s)
123-Commentaires_DefinitionPseudoOctonions.01
127 reference(s)		124-MathematiquesPhysiqueFractales.22
126 reference(s)
125-ImpossibleStructures.01.Fra
126 reference(s)		126-DuModeleALImage.02.Fra
126 reference(s)
127-Claude.01.Fra
126 reference(s)		128-xtKg_____complexes.K.
125 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.