Monthly Best Of on 04/28/2026




A surface between a rectangle and a rounded 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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[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 04/28/2026 and last updated on 04/28/2026 22:13:28 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

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



The eroded Menger Sponge -iteration 3-
1-361 reference(s)		Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
2-225 reference(s)		Tridimensional fractal Self-Portrait
3-222 reference(s)		Three successive elementary monodimensional binary cellular automata -106,90,86- with random yellow starting points -on the bottom line-
4-215 reference(s)
Tridimensional fractal Self-Portrait
5-214 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
6-213 reference(s)		Foggy seaboard
7-207 reference(s)		2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
8-205 reference(s)
Animation of the artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process
9-204 reference(s)		A fractal aperiodic Penrose tiling
10-203 reference(s)		Detail close-up of the quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.581514...,+0.635888...,0,0)and with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
11-202 reference(s)		Fractal Notre-Dame de la Garde, Marseilles
12-202 reference(s)
Tridimensional fractal structure
13-202 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
14-200 reference(s)		Tridimensional fractal structure
15-200 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold -a Tribute to José Hernández-
16-198 reference(s)
Cloudy Mandelbrot set
17-196 reference(s)		Tridimensional visualization of the Verhulst dynamics
18-196 reference(s)		Bidimensional quasi-symmetrical fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
19-195 reference(s)		Fractal synthesis of mountains with vegetation and clouds
20-194 reference(s)
Mandelbrot set in the sky
21-193 reference(s)		Double random triangulation of a cube -8x8x8-
22-192 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
23-192 reference(s)		The set of bidimensional fields defining the three coordinates of an interpolation between a rectangle and a cylinder
24-191 reference(s)
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
25-191 reference(s)		Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
26-191 reference(s)		Untitled 0373
27-190 reference(s)		Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
28-188 reference(s)
Artistic view of Monument Valley
29-188 reference(s)		The set of bidimensional fields defining the 'Y' coordinate of an interpolation between the Möbius strip and a 'double sphere'
30-186 reference(s)		Artistic variation on the generalized Ulam spiral displaying 81 numbers
31-186 reference(s)		A Bidimensional non continous Hilbert-like Curve defined with {X1(...),Y1(...)} related to a periodical 'labyrinthic' structure -iteration 4-
32-186 reference(s)
Color palette 'cercle.02'
33-185 reference(s)		Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-
34-183 reference(s)		Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
35-180 reference(s)		The 81 first digits of 'pi' displayed as sets of concentric circles (bird's-eye view)
36-179 reference(s)
Bidimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
37-178 reference(s)		The set of bidimensional fields defining the 'Z' coordinate of a dynamics of a 'pseudo-bi-gaussian plane'
38-178 reference(s)		Color palette 'paysages.11'
39-173 reference(s)		Autostereogram of the CMAP
40-170 reference(s)
From Pluto to the Sun -extrapolation 2-
41-168 reference(s)		Untitled 0649
42-162 reference(s)		Autostereogram with an hidden volcano
43-150 reference(s)		The smooth integers: the prime factor product -the radical function- of the integer numbers
44-148 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
45-140 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
46-137 reference(s)		A 4-cube -an hypercube-
47-136 reference(s)		The random walk of photons escaping the Sun
48-125 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
49-124 reference(s)		Fractal piano keyboard
50-124 reference(s)		Jean-François COLONNA (on 11/17/1994)with its fractal mountains
51-124 reference(s)		Artistic view of the prime numbers
52-121 reference(s)
The Lorenz attractor
53-118 reference(s)		The Proth-Gilbreath Conjecture -display of the G(Pi(x)) function for x E [1.2x10^15,1.3x10^15]-
54-117 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
55-108 reference(s)		Three hexagons and the twenty-eight first strictly positive integer numbers -nine of them being prime numbers-
56-104 reference(s)
Tridimensional display of an Archimedes spiral displaying 'pi' with 50 digits -base 10-
57-100 reference(s)		Visualization of the Proth-Gilbreath Conjecture process for G(Pi(1.0025x10^15))=806.
58-100 reference(s)		The Menger Sponge -iteration 5-
59-99 reference(s)		Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
60-99 reference(s)
Random quadrangulation of the volume of a sphere -18x18x18-
61-97 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
62-97 reference(s)		Elliptical trajectory of a planet around a star with perihelion advance (very exaggerated)
63-97 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
64-96 reference(s)
A Tridimensional Hilbert-like Curve defined with {X1(...),Y1(...),Z1(...)} -iteration 1-
65-96 reference(s)		Untitled 0671
66-93 reference(s)		Artistic view of the Big Bang
67-91 reference(s)		Visualization of the Proth-Gilbreath Conjecture process
68-91 reference(s)
Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
69-90 reference(s)		The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
70-90 reference(s)		Visualization of the Proth-Gilbreath Conjecture process for G(Pi(6.150x10^15))=800.
71-90 reference(s)		Artistic view of the Proth-Gilbreath Conjecture -display of the process for the 1024 prime numbers following 613247...-
72-90 reference(s)
The first four iterations of the construction of the von Koch snowflake
73-88 reference(s)		The same bidimensional scalar field displayed with 4 different color palettes
74-88 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
75-87 reference(s)		Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known
76-87 reference(s)
Mountains and fog
77-86 reference(s)		Botticelli anomaly on the Moon
78-86 reference(s)		An amazing cross-section inside the Menger Sponge -iteration 5-
79-86 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
80-86 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
81-86 reference(s)		The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-
82-85 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
83-83 reference(s)		The generalized Ulam spiral displaying 100 numbers
84-83 reference(s)
Visualization of the Proth-Gilbreath Conjecture process for G(Pi(6.150x10^15))=800.
85-83 reference(s)		The Proth-Gilbreath Conjecture -display of the process for the 64 first prime numbers-
86-83 reference(s)		The Proth-Gilbreath Conjecture -display of the G(Pi(x)) function for x E [1.4x10^15,1.5x10^15]-
87-83 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
88-83 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
89-83 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
90-82 reference(s)		A half-random extended Menger Sponge -iteration 5-
91-82 reference(s)		The complexity of this WWW site on 12/20/2003
92-82 reference(s)
Mountains and fog
93-81 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
94-81 reference(s)		Untitled 0320
95-80 reference(s)		A pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a locally variable exponent that is equal to 4, 5 or 6 and with a rotation about the X axis -tridimensional cross-section-
96-80 reference(s)
A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
97-80 reference(s)		Happy new year 2000
98-80 reference(s)		The generalized Ulam spiral
99-79 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-
100-79 reference(s)
Along the border of the Mandelbrot set
101-78 reference(s)		Bidimensional closed self-avoiding brownian motion on a torus
102-78 reference(s)		Bidimensional closed self-avoiding brownian motion on an ellipsoide
103-78 reference(s)		An interpolation between the Möbius strip and a 'double sphere' defined by means of three sets of bidimensional fields
104-78 reference(s)
The Ulam spiral with display of the first twin prime numbers ('2-twin' prime numbers)
105-78 reference(s)		A 'conic' cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
106-78 reference(s)		Hypercube
107-78 reference(s)		A tridimensional pseudo-random walk defined by means of the Champernowne number -using all base 10 integer numbers-: 0.1 2 3 4 5 6 7 8 9 10 11 12 13... -113.894 digits, base 10- converted into 146.363 digits 042355... -base 6-
108-77 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
109-77 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-
110-76 reference(s)		Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
111-76 reference(s)		The execution of a very simple program on a Turing Machine
112-76 reference(s)
Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
113-76 reference(s)		The pseudo-quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the pseudo-quaternionic space (a 'NewtonBulb') -tridimensional cross-section-
114-76 reference(s)		The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-
115-76 reference(s)		An interpolation between a rectangle and the Möbius strip
116-76 reference(s)
A fractal surface defined by means of three bidimensional fields
117-76 reference(s)		Mountains and light cloud dynamics -this sequence being periodical-
118-76 reference(s)		N-body problem integration (N=10)displaying the actual Solar System, our Earth being at the origin of the coordinates
119-76 reference(s)		The tridimensional John Conway's life game with random initial conditions -24% of occupied cells-
120-76 reference(s)
Artistic view of the Proth-Gilbreath Conjecture -display of the process for the 1024 prime numbers following 613247...-
121-76 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
122-76 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-
123-75 reference(s)		An interpolation between the Klein bottle and the double Jeener bottle defined by means of three sets of bidimensional fields
124-75 reference(s)
The Scream -a Tribute to Edvard Munch-
125-75 reference(s)		Quark and gluon structure of a nucleon
126-75 reference(s)		A 'pyramidal' cross-section inside the Menger Sponge -iteration 5-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
127-75 reference(s)		The Jeener hypocycloidal snail
128-75 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
2950 reference(s)		2-Vcatalogue.11
363 reference(s)
3-SurfaceProjector.01.Ang
305 reference(s)		4-catalogue.11
296 reference(s)
5-demo_14
225 reference(s)		6-VAcatalogue.11
218 reference(s)
7-ChatGPT.11.Ang
207 reference(s)		8-MorePages.Ang.
149 reference(s)
9-An2000.01.Fra
145 reference(s)		10-help.
144 reference(s)
11-Fractal.01
141 reference(s)		12-ChatGPT.11.Fra
138 reference(s)
13-xiirf_____.nota.t.
137 reference(s)		14-Web_Mail.01.vv
135 reference(s)
15-xiirv_____.nota.t.
127 reference(s)		16-ComplexiteStructurelle.PlansDeBits.K1
127 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
125 reference(s)		18-NDimensionalDeterministicFractalSets.01.Ang
122 reference(s)
19-ChatGPT.01.Fra
122 reference(s)		20-ChatGPT.01.Ang
120 reference(s)
21-mail.01.vv
115 reference(s)		22-Stereogrammes_AutoStereogrammes.01
115 reference(s)
23-LOG_xiMc.11
115 reference(s)		24-Galerie_NumberTheory.FV
113 reference(s)
25-Fractal.21
111 reference(s)		26-NombresPremiers_10000.vv
109 reference(s)
27-Galerie_ImagesDesMathematiques.FV
109 reference(s)		28-FloatingPointNumbers.01.Fra
109 reference(s)
29-Proth_Gilbreath_Conjecture.01.Ang
106 reference(s)		30-Polynomials_RationalNumbers.01.Fra
106 reference(s)
31-Pcatalogue.11
106 reference(s)		32-DecimalesDePi.01.Fra
106 reference(s)
33-Galerie_NewPictures.FV
105 reference(s)		34-LesCourbesRemplissantes.01.Fra
101 reference(s)
35-Galerie_RCMGalerie.FV
100 reference(s)		36-copyright.01.
99 reference(s)
37-IAGenerativesImages.01.Ang
99 reference(s)		38-Proth_Gilbreath_Conjecture.01.Fra
98 reference(s)
39-Autostereograms.01.
98 reference(s)		40-VirtualChaos.01.Ang
97 reference(s)
41-SurfaceProjector.01.Fra
95 reference(s)		42-UlamSpiral.01.Ang
94 reference(s)
43-NDimensionalDeterministicFractalSets.01.Fra
94 reference(s)		44-Galerie_ImagesDidactiques.FV
94 reference(s)
45-Fractal.11
93 reference(s)		46-An2038.01.Fra
93 reference(s)
47-AVirtualSpaceTimeTravelMachine.Fra
93 reference(s)		48-IAGenerativesImages.01.Fra
91 reference(s)
49-Galerie_GeneralitiesVisualization.FV
91 reference(s)		50-BEST.20210928
91 reference(s)
51-UlamSpiral.01.Fra
89 reference(s)		52-Multivers.01.Fra
89 reference(s)
53-DecimalesPi_1_100.vv
89 reference(s)		54-VCcatalogue.11
88 reference(s)
55-NombresEtLumiere.01.vv.Fra
88 reference(s)		56-MathematiquesPhysiqueFractales.12
87 reference(s)
57-GenieLogiciel.01.Fra
87 reference(s)		58-Galerie_NumbersAndLight.FV
87 reference(s)
59-RealNumbers.01.Fra
86 reference(s)		60-LesCourbesRemplissantes.02.Fra
86 reference(s)
61-GilbreathConjecture.01.Ang
86 reference(s)		62-Galerie_ArtAndScience.FV
86 reference(s)
63-AProposSite.01.Fra
86 reference(s)		64-MonodimensionalCellularAutomata.01.Ang
85 reference(s)
65-MesExpositionsPassees.01
84 reference(s)		66-MathematiquesPhysiqueFractales.22
84 reference(s)
67-Informations_GoodNewsAndBadNews.01.Fra
84 reference(s)		68-GoldenTriangle.01.Fra
84 reference(s)
69-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
84 reference(s)		70-LeNoeudInfini.01.Fra
83 reference(s)
71-Le_Chat.01.Ang
82 reference(s)		72-GilbreathConjecture.01.Fra
82 reference(s)
73-NatureDesMathematiques.01.vv.Fra
81 reference(s)		74-Galerie_Pi.FV
80 reference(s)
75-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
80 reference(s)		76-PerteDeLAssociativite.01
79 reference(s)
77-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
79 reference(s)		78-MathematiquesPhysiqueFractales.02
79 reference(s)
79-Informations_AboutPicturesAnimationsAndFiles.01.Ang
79 reference(s)		80-Fractal.03
79 reference(s)
81-FloatingPointNumbers.01.Ang
79 reference(s)		82-Exposition_EcolePolytechnique_FeteDeLaScience_202510
79 reference(s)
83-ChatGPT.11.AVirtualSpaceTimeTravelMachine.01.Fra
79 reference(s)		84-Galerie_ImagesEssentiellesDesMathematiques.FV
78 reference(s)
85-An2038.01.Ang
78 reference(s)		86-xiirc_____.nota.t.
77 reference(s)
87-RasoirDOckhamEtMathematiques.01.vv.Fra
77 reference(s)		88-LesNombresTranscendants.01.Ang
77 reference(s)
89-LeParadoxeDeFermi.01.Fra
77 reference(s)		90-LeNoeudInfini.01.Ang
77 reference(s)
91-Galerie_HommageAPatriceJeener.FV
77 reference(s)		92-subject.01.
76 reference(s)
93-LesCourbesRemplissantes.01.Ang
76 reference(s)		94-xiirs_____.nota.t.
75 reference(s)
95-infinity.01.vv
75 reference(s)		96-MathematiquesModeleOutilArtiste.02.Ang
75 reference(s)
97-LesCourbesRemplissantes.02.Ang
75 reference(s)		98-ImpossibleStructures.01.Fra
75 reference(s)
99-Galerie_DeterministicChaos.FV
75 reference(s)		100-EntrelacsIntertwinings.01.Fra
75 reference(s)
101-BilletDHumeur_IntelligenceArtificielle.01.Fra
75 reference(s)		102-LesElucubrationsMathematiquesDeChatGPT.01.Fra
74 reference(s)
103-Galerie_SelfPortraits.FV
74 reference(s)		104-ExpV_VirE.Ang
74 reference(s)
105-infinity.02.vv
73 reference(s)		106-NombresEtLumiere.02.vv.Ang
73 reference(s)
107-Galerie_ArtisticCreation.FV
73 reference(s)		108-ChatGPT.11.AVirtualSpaceTimeTravelMachine.01.Ang
73 reference(s)
109-Bard.01.Fra
73 reference(s)		110-present.01.
72 reference(s)
111-OrdinateursEtCalculs.01.Fra
72 reference(s)		112-ImpossibleStructures.01.Ang
72 reference(s)
113-HughEverettMultiverse.01.Ang
72 reference(s)		114-Galerie_Tributes.FV
72 reference(s)
115-Galerie_SignalProcessing.FV
72 reference(s)		116-Galerie_ParticleSystems.FV
72 reference(s)
117-FaireDeLaRecherche.01.vv
72 reference(s)		118-DuModeleALImage.02.Fra
72 reference(s)
119-Bard.01.Ang
71 reference(s)		120-AnimFractal.01.
71 reference(s)
121-xiak_____.nota.t.
70 reference(s)		122-VirtualChaos.01.Fra
70 reference(s)
123-OrdinateursEtCalculs.01.Ang
70 reference(s)		124-Galerie_Astrophysics.FV
70 reference(s)
125-Exposition_EcolePolytechnique_FeteDeLaScience_201810
70 reference(s)		126-EntrelacsIntertwinings.01.Ang
70 reference(s)
127-create.03.
69 reference(s)		128-PatrimoineHumanite.02.Fra
69 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.