Monthly Best Of on 09/28/2025




A cube

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 09/28/2025 and last updated on 09/28/2025 22:10:55 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-413 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
2-205 reference(s)		The random walk of photons escaping the Sun
3-194 reference(s)		The Lorenz attractor
4-182 reference(s)
Quark and gluon structure of a nucleon
5-156 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
6-155 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
7-154 reference(s)		Botticelli anomaly on the Moon
8-152 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
9-150 reference(s)		The Menger Sponge -iteration 5-
10-148 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
11-144 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
12-143 reference(s)
Fractal Self-Portrait -a Tribute to René Magritte-
13-138 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
14-130 reference(s)		Mountains and fog
15-130 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
16-127 reference(s)
The Birth of the Universe
17-127 reference(s)		Quadruple impossible staircase built by means of a paradoxal structure -a Tribute to Maurits Cornelis Escher-
18-127 reference(s)		Untitled 0662
19-126 reference(s)		Artistic view of the prime numbers
20-126 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
21-126 reference(s)		Along the border of the Mandelbrot set
22-125 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)
23-124 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
24-123 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
25-122 reference(s)		Mountains at sunrise
26-121 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
27-121 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
28-120 reference(s)
Artistic view of the Big Bang
29-119 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
30-119 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
31-119 reference(s)		A periodical tiling of the plane using 3 von Koch-like snowflakes -iteration 5-
32-116 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
33-116 reference(s)		Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
34-116 reference(s)		A periodical tiling of the plane using 2 von Koch-like snowflakes -iteration 5-
35-115 reference(s)		Untitled 0320
36-115 reference(s)
The 256 first digits -base 10- of 'pi' on a Bidimensional Hilbert Curve -iteration 4- mapped on a sphere
37-115 reference(s)		Monument Valley at sunrise
38-115 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
39-115 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of 5x5 Bidimensional Hilbert Curves -iteration 5-
40-115 reference(s)
Sunny Monument Valley
41-113 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-
42-113 reference(s)		Heterogeneous -tridimensional fractal field- random meshing of a cube
43-113 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
44-112 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
45-111 reference(s)		Tridimensional fractal Self-Portrait
46-111 reference(s)		Fractal Self-Portrait -'Décalcomanie', a Tribute to René Magritte-
47-110 reference(s)		A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
48-108 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
49-107 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
50-107 reference(s)		Kasner billiard: Time-dependent billiard (from negative curvature to positive curvature)with one accelerated particle
51-106 reference(s)		Mapping on the Klein bottle of a finite subset of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
52-105 reference(s)
A periodical tiling of the plane using 3 von Koch-like snowflakes -iteration 3-
53-105 reference(s)		Untitled 0649
54-103 reference(s)		Autostereogram with an hidden volcano
55-103 reference(s)		The level 3 cluster made of 8 'Spectre' level 2 clusters with display of all the key-points making quadrilaterals (8 small and a big one)
56-103 reference(s)
A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps
57-103 reference(s)		Quark and gluon structure of a nucleon
58-103 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 1.083.984 galaxies)obtained by means of a non deterministic fractal process
59-103 reference(s)		A periodical tiling of the plane using 2 von Koch-like snowflakes -iteration 5-
60-102 reference(s)
The execution of a very simple program on a Turing Machine
61-102 reference(s)		Along the border of the Mandelbrot set
62-102 reference(s)		The bidimensional brownian motion of 891 particles
63-102 reference(s)		Untitled 0155 -a Tribute to Yves Tanguy-
64-102 reference(s)
From Pluto to the Sun (non linear scales)
65-102 reference(s)		LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
66-101 reference(s)		The Jeener-Klein triple bottle
67-101 reference(s)		The journey of an Earth-like planet (green)in the Solar System -point of view of the virtual planet-
68-100 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
69-100 reference(s)		Mapping on a sphere of a finite subset of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
70-99 reference(s)		Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
71-99 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-
72-99 reference(s)
Quantum vacuum fluctuations
73-98 reference(s)		The execution of a very simple program on a Turing Machine
74-98 reference(s)		The tridimensional brownian motion of 1815 particles
75-98 reference(s)		Quark and gluon structure of a nucleon
76-97 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
77-97 reference(s)		The Mathematics are the key of the Multiverse
78-96 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
79-96 reference(s)		An extended Menger Sponge -iteration 7- displaying the 211.210.335 first digits -base 2- of 'pi'
80-96 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
81-95 reference(s)		Bidimensional closed self-avoiding brownian motion on an ellipsoide
82-95 reference(s)		Tridimensional visualization of the Mandelbrot set with mapping of the arguments
83-95 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a 0 to pi rotation about the X axis -tridimensional cross-section-
84-95 reference(s)
Happy new year 2000
85-95 reference(s)		The execution of a very simple program on a Turing Machine
86-94 reference(s)		Mountains and fog
87-94 reference(s)		Untitled 0535 (1972-1976)-as it was displayed on a Tektronix T4010/T4014 screen-
88-94 reference(s)
Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales)
89-94 reference(s)		An extended Menger Sponge -iteration 7- displaying the 211.210.335 first digits -base 2- of 'pi'
90-94 reference(s)		Mapping on a quadridimensional Calabi-Yau manifold of a finite subset of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
91-93 reference(s)		Untitled 0653
92-93 reference(s)
Untitled 0652
93-93 reference(s)		Artistic view of a tridimensional display of a periodical tiling of the plane using 2 von Koch-like snowflakes -iteration 3-
94-93 reference(s)		The execution of a very simple program on a Turing Machine
95-93 reference(s)		A periodical tiling of the plane using 3 von Koch-like snowflakes -iteration 5-
96-92 reference(s)
Untitled 0305
97-92 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier and Carl Friedrich Gauss-
98-92 reference(s)		A Tridimensional Hilbert-like Curve defined with {X2(...),Y2(...),Z2(...)} and based on an 'open' 3-foil torus knot -iteration 2-
99-92 reference(s)		Hypercube
100-92 reference(s)
Art and Science, 1971-1991, page 01
101-92 reference(s)		Mapping on the Möbius strip of a finite subset of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
102-91 reference(s)		Mapping on a torus of a finite subset of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
103-91 reference(s)		Untitled 0642
104-91 reference(s)
Autostereogram with an hidden volcano
105-91 reference(s)		A pay slip
106-91 reference(s)		The Jeener hypocycloidal snail
107-91 reference(s)		An elementary monodimensional binary cellular automaton -110- with 1 white starting point -bottom right-
108-91 reference(s)
The execution of a very simple program on a Turing Machine
109-90 reference(s)		Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
110-90 reference(s)		Autostereogram with an hidden volcano and 64 self-portraits
111-90 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
112-90 reference(s)
The generalized Ulam spiral
113-89 reference(s)		Autostereogram with an hidden volcano
114-88 reference(s)		Tridimensional fractal Self-Portrait
115-88 reference(s)		A shell (Jeener surface 1)in motion
116-88 reference(s)
Bidimensional closed self-avoiding brownian motion on a torus
117-87 reference(s)		The generalized Ulam spiral displaying 100 numbers
118-87 reference(s)		The random walk of photons escaping the Sun
119-86 reference(s)		Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
120-86 reference(s)
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
121-86 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
122-86 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
123-86 reference(s)		Causal set obtained by means of an homogeneous random meshing of a cube
124-86 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
125-86 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
126-86 reference(s)		Mapping on the Bonan-Jeener double bottle of a finite subset of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
127-85 reference(s)		Tridimensional display of a periodical tiling of the plane using 4 von Koch-like snowflakes -iteration 3-
128-85 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
4291 reference(s)		2-An2000.01.Fra
272 reference(s)
3-copyright.01.
260 reference(s)		4-mail.01.vv
249 reference(s)
5-Web_Mail.01.vv
243 reference(s)		6-FloatingPointNumbers.01.Fra
234 reference(s)
7-Vcatalogue.11
224 reference(s)		8-Downloading.01.vv
216 reference(s)
9-Stereogrammes_AutoStereogrammes.01
209 reference(s)		10-MathematiquesPhysiqueFractales.02
206 reference(s)
11-Informations_AboutPicturesAnimationsAndFiles.01.Ang
200 reference(s)		12-demo_14
192 reference(s)
13-FloatingPointNumbers.01.Ang
192 reference(s)		14-Fractal.01
190 reference(s)
15-NDimensionalDeterministicFractalSets.01.Fra
181 reference(s)		16-AProposSite.01.Fra
181 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
177 reference(s)		18-Fractal.21
177 reference(s)
19-Galerie_NumberTheory.FV
176 reference(s)		20-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
176 reference(s)
21-ChatGPT.01.Ang
176 reference(s)		22-SurfaceProjector.01.Ang
175 reference(s)
23-Galerie_ParticleSystems.FV
174 reference(s)		24-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
174 reference(s)
25-Galerie_GeneralitiesVisualization.FV
173 reference(s)		26-catalogue.11
172 reference(s)
27-SurfaceProjector.01.Fra
169 reference(s)		28-LOG_xiMc.11
169 reference(s)
29-Galerie_NewPictures.FV
166 reference(s)		30-ImagesDuVirtuel.01.Fra.FV
165 reference(s)
31-UlamSpiral.01.Fra
164 reference(s)		32-infinity.01.vv
162 reference(s)
33-Galerie_ArtisticCreation.FV
162 reference(s)		34-ChatGPT.11.Fra
162 reference(s)
35-PerteDeLAssociativite.01
161 reference(s)		36-Galerie_SignalProcessing.FV
161 reference(s)
37-ExpV_VirE.Ang
160 reference(s)		38-GoldenTriangle.01.Fra
157 reference(s)
39-Galerie_CelestialMechanics.FV
157 reference(s)		40-Galerie_ArtAndScience.FV
156 reference(s)
41-ExpV_VirE.11
156 reference(s)		42-RealNumbers.01.Fra
154 reference(s)
43-GenieLogiciel.01.Fra
154 reference(s)		44-EntrelacsIntertwinings.01.Fra
154 reference(s)
45-AnimFractal.01.
154 reference(s)		46-Galerie_BestOf.FV
153 reference(s)
47-Autostereograms.01.
152 reference(s)		48-AVirtualSpaceTimeTravelMachine.Fra
152 reference(s)
49-MonodimensionalCellularAutomata.01.Fra
151 reference(s)		50-Galerie_TextureSynthesis.FV
151 reference(s)
51-Fractal.11
151 reference(s)		52-NDimensionalDeterministicFractalSets.01.Ang
150 reference(s)
53-Kepler.02.
150 reference(s)		54-NatureDesMathematiques.01.vv.Fra
149 reference(s)
55-Galerie_QuantumMechanics.FV
148 reference(s)		56-DecimalesDePi.01.Fra
148 reference(s)
57-Multivers.01.Fra
146 reference(s)		58-Galerie_Astrophysics.FV
145 reference(s)
59-Galerie_SensitivityToRoundingOffErrors.FV
144 reference(s)		60-Exposition_EcolePolytechnique_FeteDeLaScience_202510
144 reference(s)
61-Informations_GoodNewsAndBadNews.01.Fra
143 reference(s)		62-subject.01.
142 reference(s)
63-IAGenerativesImages.01.Fra
142 reference(s)		64-create.03.
141 reference(s)
65-EntrelacsIntertwinings.01.Ang
141 reference(s)		66-Galerie_DeterministicChaos.FV
140 reference(s)
67-RemarquesCerveau.01
139 reference(s)		68-NombresEtLumiere.01.vv.Fra
139 reference(s)
69-Galerie_ImagesDidactiques.FV
139 reference(s)		70-Pcatalogue.11
138 reference(s)
71-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
138 reference(s)		72-ChatGPT.01.Fra
138 reference(s)
73-ArtScience.01
138 reference(s)		74-infinity.02.vv
137 reference(s)
75-ImpossibleStructures.01.Ang
137 reference(s)		76-Exposition_EcolePolytechnique_FeteDeLaScience_201910
137 reference(s)
77-Galerie_Tributes.FV
136 reference(s)		78-MonodimensionalCellularAutomata.01.Ang
135 reference(s)
79-IllusionConnaissance.02
135 reference(s)		80-UlamSpiral.01.Ang
134 reference(s)
81-LesCourbesRemplissantes.01.Fra
133 reference(s)		82-Informations_AboutPicturesAnimationsAndFiles.01.Fra
133 reference(s)
83-Le_Chat.01.Ang
132 reference(s)		84-DuModeleALImage.02.Fra
132 reference(s)
85-Galerie_FluidMechanics.FV
130 reference(s)		86-DieuScience.01.Fra
130 reference(s)
87-ChatGPT.11.Ang
130 reference(s)		88-VisitesGaleriesEnfouies.01.Fra
129 reference(s)
89-OrdinateursEtCalculs.01.Fra
129 reference(s)		90-present.01.
128 reference(s)
91-VisitesGaleriesEnfouies.01.Ang
128 reference(s)		92-Multivers.01.Ang
128 reference(s)
93-LeParadoxeDeFermi.01.Fra
128 reference(s)		94-GoldenTriangle.01.Ang
128 reference(s)
95-FaireDesMathematiques.01.Fra
127 reference(s)		96-VirtualChaos.01.Fra
126 reference(s)
97-Polynomials_RationalNumbers.01.Fra
126 reference(s)		98-Fractal.03
126 reference(s)
99-PatrimoineHumanite.02.Fra
125 reference(s)		100-Le_Chat.01.Fra
125 reference(s)
101-ImpossibleStructures.01.Fra
125 reference(s)		102-FaireDeLaRecherche.01.vv
125 reference(s)
103-MathematiquesPhysiqueFractales.22
124 reference(s)		104-Galerie_ImagesDesMathematiques.FV
124 reference(s)
105-ManyChaos.01.Fra
123 reference(s)		106-OrdinateurMathematiquesArt.01.Fra
121 reference(s)
107-Fractal.02
121 reference(s)		108-Spheres.01
120 reference(s)
109-LesCourbesRemplissantes.02.Fra
120 reference(s)		110-An2000.02.Fra
120 reference(s)
111-Informations_GoodNewsAndBadNews.01.Ang
119 reference(s)		112-LeNoeudInfini.01.Fra
118 reference(s)
113-DeepSeek.01.Fra
118 reference(s)		114-ManyChaos.01.Ang
117 reference(s)
115-LesCourbesRemplissantes.02.Ang
117 reference(s)		116-LeParadoxeDeFermi.01.Ang
117 reference(s)
117-DieuScience.01.Ang
117 reference(s)		118-AvantPropos.01.Fra
117 reference(s)
119-VisualisationRelief.01.vv.Fra
116 reference(s)		120-RasoirDOccamEtMathematiques.01.vv.Fra
116 reference(s)
121-MathematiquesPhysiqueFractales.12
116 reference(s)		122-HughEverettMultiverse.01.Ang
116 reference(s)
123-ConjectureDeSyracuse_0256.vv
115 reference(s)		124-Galerie_Animations.FV
114 reference(s)
125-EnsembleDesGaleriesFractales.DIAPO.0001
114 reference(s)		126-MathematiquesEtCinematographe.01.vv
113 reference(s)
127-LeNoeudInfini.01.Ang
113 reference(s)		128-Galerie_ImagesEssentiellesDesMathematiques.FV
113 reference(s)

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




Copyright © Jean-François COLONNA, -2025.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, -2025.