Monthly Best Of on 04/28/2022




Computation of the roots of Z^5=1 using Newton's method

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.



Artistic view of the prime numbers
1-49 reference(s)		David versus Goliath: there is a war between Ukraine and Russia
2-40 reference(s)		Autostereogram with an hidden volcano
3-29 reference(s)		David versus Goliath: there is a war between Ukraine and Russia
4-25 reference(s)
The generalized Ulam spiral
5-23 reference(s)		Table mountain
6-22 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
7-22 reference(s)		The Nympheas -a Tribute to Claude Monet-
8-20 reference(s)
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518
9-20 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
10-19 reference(s)		A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
11-18 reference(s)		An aperiodic Penrose tiling of the plane
12-15 reference(s)
The first four iterations of the construction of the von Koch snowflake
13-14 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
14-14 reference(s)		A Tridimensional Hilbert-like Curve defined with {X3(...),Y3(...),Z3(...)} -iteration 3-
15-14 reference(s)		A fractal Möbius strip
16-14 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
17-14 reference(s)		Pseudo Olympic Rings
18-13 reference(s)		Polar display of the ten digits -from 0 to 9-
19-13 reference(s)		A Bidimensional Hilbert-like Curve defined with {X5(...),Y5(...)} -iteration 5-
20-13 reference(s)
The Tridimensional [0,1] --> [0,1]x[0,1]x[0,1] Peano Surjection -T defined with 9 digits-
21-13 reference(s)		Rotation about the Y (vertical)axis of a tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
22-13 reference(s)		The Jeener-Klein triple bottle
23-13 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
24-12 reference(s)
Autostereogram with an hidden ring and ghost bows
25-12 reference(s)		The Universe at the heart of a Calabi-Yau manifold
26-11 reference(s)		The [0,1] --> [0,1]x[0,1] Peano Surjection -T defined with 6 digits-
27-11 reference(s)		Spring Time in Monument Valley
28-11 reference(s)
The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years
29-11 reference(s)		Happy new year 2000
30-11 reference(s)		An arbitrary surface (Jeener surface 2)in motion
31-10 reference(s)		Tridimensional Hilbert Curve -iteration 4-
32-10 reference(s)
The Sierpinski Carpet -iteration 1 to 5-
33-9 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
34-9 reference(s)		A set of 4x3 stereograms of a tridimensional fractal structure
35-9 reference(s)		Untitled 0004
36-9 reference(s)
The random walk of photons escaping the Sun
37-8 reference(s)		An arbitrary surface (Jeener surface 2)
38-8 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
39-8 reference(s)		Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
40-8 reference(s)
The Lorenz attractor
41-8 reference(s)		A shell (Jeener surface 1)in motion
42-8 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
43-8 reference(s)		Autostereogram with an hidden volcano
44-7 reference(s)
The generalized Ulam spiral displaying 100 numbers
45-7 reference(s)		Animation of bidimensional textures by means of the self-transformation of a fractal process
46-7 reference(s)		From Pluto to the Sun (non linear scales)
47-7 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
48-7 reference(s)
Pseudo-octonionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
49-7 reference(s)		Black dots on a square lattice
50-7 reference(s)		Bidimensional Hilbert Curve -iteration 5-
51-7 reference(s)		The Jeener flower
52-7 reference(s)
The ukrainian and russian flags
53-7 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
54-7 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
55-7 reference(s)		About the fractal dimension with the first two iterations -red and magenta respectively- of the construction of the von Koch curve
56-6 reference(s)
Quantum vacuum fluctuations
57-6 reference(s)		Quantum vacuum fluctuations
58-6 reference(s)		An aperiodic Penrose tiling of the plane
59-6 reference(s)		The construction process of the Sierpinski Carpet
60-6 reference(s)
Fractal 'celestial body' based on a torus with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
61-6 reference(s)		The Klein bottle defined by means of three bidimensional fields
62-6 reference(s)		A regular 7-gon -an heptagon-
63-6 reference(s)		An octogonal tiling of the hyperbolic Poincaré disk -iteration 5-
64-6 reference(s)
Quark and gluon structure of a nucleon
65-6 reference(s)		An arbitrary surface (Jeener surface 2)in motion
66-6 reference(s)		Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
67-6 reference(s)		Fractal Self-Portrait -a Tribute to René Magritte-
68-6 reference(s)
Happy new year 2000
69-6 reference(s)		Tridimensional Hilbert Curve -iteration 3-
70-6 reference(s)		Hypercube
71-6 reference(s)		A shell (Jeener surface 1)
72-6 reference(s)
Jigsaw puzzle with a self-Portrait
73-6 reference(s)		A Tribute to Sandro Botticelli
74-6 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
75-6 reference(s)		The Jeener-Klein triple bottle
76-6 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
77-5 reference(s)		An aperiodic Penrose tiling of the plane
78-5 reference(s)		The Jeener triton
79-5 reference(s)		Along the border of the Mandelbrot set
80-5 reference(s)
A tridimensional intertwining made of the Menger Sponge -iteration 5- inside a sphere
81-5 reference(s)		Intertwining
82-5 reference(s)		Autostereogram of the CMAP
83-5 reference(s)		The Sierpinski Carpet -iteration 1-
84-5 reference(s)
The Klein bottle
85-5 reference(s)		Rotation about the Y (vertical)axis of sixteen interlaced torus that can also be viewed as a set of 4x3 stereograms
86-5 reference(s)		A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
87-5 reference(s)		The generalized Ulam spiral displaying 1024 numbers
88-5 reference(s)
A Tridimensional Hilbert-like Curve defined with {X1(...),Y1(...),Z1(...)} -iteration 1-
89-5 reference(s)		The Tridimensional [0,1] --> [0,1]x[0,1]x[0,1] Peano Surjection -T defined with 6 digits-
90-5 reference(s)		Color palette 'arc_ciel.M2'
91-5 reference(s)		Untitled 0017
92-5 reference(s)
An extended Menger Sponge -iteration 5-
93-5 reference(s)		The Menger Sponge -iteration 5-
94-5 reference(s)		A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
95-5 reference(s)		Zoom in on a pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) -tridimensional cross-section-
96-5 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-
97-5 reference(s)		Anaglyph -blue=right, red=left- of an hypercube
98-5 reference(s)		The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244
99-5 reference(s)		A Tribute to Sandro Botticelli (1974-1975)
100-5 reference(s)
Foggy 'anti-Brittany'
101-5 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
102-5 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
103-5 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
104-5 reference(s)
The Jeener intertwining
105-5 reference(s)		The Klein bottle
106-5 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
107-5 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
108-4 reference(s)
About the length of the von Koch curve
109-4 reference(s)		Universe or Multiverse -The fractal Universe-?
110-4 reference(s)		An aperiodic Penrose tiling of the plane -the extended paradoxal demoniac Rubik's Cube-
111-4 reference(s)		Generation of the 63 first Conway's surreal numbers
112-4 reference(s)
A tridimensional field
113-4 reference(s)		A bidimensional field
114-4 reference(s)		A bidimensional field
115-4 reference(s)		A simple geometrical structure
116-4 reference(s)
Intertwining
117-4 reference(s)		Intertwining based on the geometry of the sphere
118-4 reference(s)		Intertwining
119-4 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
120-4 reference(s)
Autostereogram with an hidden ring and ghost bows
121-4 reference(s)		Autostereogram with an hidden volcano
122-4 reference(s)		The Sierpinski Carpet -iteration 5-
123-4 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
124-4 reference(s)
Coalescence of 40832 particles -black holes?- inside a tridimensional parallelepipedic billiard
125-4 reference(s)		Untitled 0073
126-4 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
127-4 reference(s)		An interpolation between a 'double sphere' and a cylinder
128-4 reference(s)




2-The 128 most referenced Pages (*):

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



1-AVirtualSpaceTimeTravelMachine.Ang
2702 reference(s)		2-Informations_AboutPicturesAnimationsAndFiles.01.Ang
2545 reference(s)
3-Vcatalogue.11
596 reference(s)		4-An2000.01.Fra
564 reference(s)
5-copyright.01.
454 reference(s)		6-mail.01.vv
414 reference(s)
7-Galerie_NumberTheory.FV
366 reference(s)		8-help.
365 reference(s)
9-Galerie_ArtisticCreation.FV
349 reference(s)		10-Galerie_GeneralitiesVisualization.FV
337 reference(s)
11-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
253 reference(s)		12-demo_14
232 reference(s)
13-Galerie_DeterministicFractalGeometry.FV
224 reference(s)		14-Commentaires_DefinitionPseudoOctonions.01
221 reference(s)
15-Galerie_ArtAndScience.FV
216 reference(s)		16-Commentaires_DefinitionOctonions.01
216 reference(s)
17-Commentaires_DefinitionPseudoQuaternions.01
197 reference(s)		18-Galerie_ParticleSystems.FV
196 reference(s)
19-Commentaires_EspaceLyapunovComplexe.01
195 reference(s)		20-NDimensionalDeterministicFractalSets.01.Ang
163 reference(s)
21-Commentaires_EnsembleMandelbrotOctonion.01
157 reference(s)		22-NDimensionalDeterministicFractalSets.01.Fra
153 reference(s)
23-Informations_AboutPicturesAnimationsAndFiles.01.Fra
151 reference(s)		24-Galerie_TextureSynthesis.FV
149 reference(s)
25-Fractal.21
140 reference(s)		26-An2000.01.Ang
140 reference(s)
27-Galerie_ImagesDesMathematiques.FV
135 reference(s)		28-MathematiquesPhysiqueFractales.22
131 reference(s)
29-MonodimensionalCellularAutomata.01.Fra
130 reference(s)		30-Commentaires_DefinitionQuaternions.01
128 reference(s)
31-Galerie_ImagesDidactiques.FV
127 reference(s)		32-SurfaceProjector.01.Fra
124 reference(s)
33-AnimFractal.01.
124 reference(s)		34-AVirtualSpaceTimeTravelMachine.Fra
124 reference(s)
35-LOG_xiMc.11
122 reference(s)		36-MonodimensionalCellularAutomata.01.Ang
118 reference(s)
37-Galerie_CelestialMechanics.FV
118 reference(s)		38-Commentaires_EnsembleMandelbrotQuaternion.01
118 reference(s)
39-Galerie_QuantumMechanics.FV
117 reference(s)		40-Galerie_DeterministicChaos.FV
115 reference(s)
41-catalogue.11
114 reference(s)		42-Informations_GoodNewsAndBadNews.01.Ang
114 reference(s)
43-SurfaceProjector.01.Ang
113 reference(s)		44-Galerie_NewPictures.FV
113 reference(s)
45-Fractal.11
111 reference(s)		46-ImpossibleStructures.01.Ang
108 reference(s)
47-MorePages.Ang.
104 reference(s)		48-FloatingPointNumbers.01.Fra
104 reference(s)
49-Fractal.01
103 reference(s)		50-Commentaires_EnsembleJuliaOctonion.01
101 reference(s)
51-Pcatalogue.11
99 reference(s)		52-Galerie_Tributes.FV
99 reference(s)
53-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
96 reference(s)		54-present.01.
94 reference(s)
55-EntrelacsIntertwinings.01.Ang
94 reference(s)		56-Informations_GoodNewsAndBadNews.01.Fra
93 reference(s)
57-Galerie_SignalProcessing.FV
93 reference(s)		58-ImpossibleStructures.01.Fra
92 reference(s)
59-Galerie_SensitivityToRoundingOffErrors.FV
92 reference(s)		60-GoldenTriangle.01.Fra
91 reference(s)
61-AProposSite.01.Fra
90 reference(s)		62-FloatingPointNumbers.01.Ang
89 reference(s)
63-Stereogrammes_AutoStereogrammes.01
88 reference(s)		64-Autostereograms.01.
88 reference(s)
65-GenieLogiciel_VisualisationScientifique.01.vv
87 reference(s)		66-Galerie_BestOf.FV
87 reference(s)
67-Galerie_Astrophysics.FV
87 reference(s)		68-UlamSpiral.01.Fra
86 reference(s)
69-NatureDesMathematiques.01.vv.Fra
84 reference(s)		70-OrdinateursEtCalculs.01.Ang
82 reference(s)
71-ImagesDuVirtuel.01.Fra
82 reference(s)		72-EntrelacsIntertwinings.01.Fra
82 reference(s)
73-ImagesEncadreesDisponibles.01
81 reference(s)		74-ImagesDuVirtuel.01.Fra.FV
81 reference(s)
75-create.03.
80 reference(s)		76-VirtualChaos.01.Fra
80 reference(s)
77-MorePages.Fra.
80 reference(s)		78-Galerie_NewPictures
80 reference(s)
79-Exposition_EcolePolytechnique_FeteDeLaScience_201910
79 reference(s)		80-RasoirDOccamEtMathematiques.01.vv.Fra
78 reference(s)
81-RealNumbers.01.Fra
77 reference(s)		82-PerteDeLAssociativite.01
77 reference(s)
83-Kepler.02.
76 reference(s)		84-MathematiquesPhysiqueFractales.02
75 reference(s)
85-Galerie_AnthropomorphicPatterns.FV
75 reference(s)		86-subject.01.
74 reference(s)
87-Fractal.03
74 reference(s)		88-RemarquesCerveau.01
73 reference(s)
89-GenieLogiciel.01.Fra
73 reference(s)		90-ExpV_VirE.Ang
73 reference(s)
91-UlamSpiral.01.Ang
72 reference(s)		92-DecimalesPi_1_100.vv
72 reference(s)
93-Web_Mail.01.vv
71 reference(s)		94-RasoirDOccamEtMathematiques.01.vv.Ang
71 reference(s)
95-Polynomials_RationalNumbers.01.Fra
71 reference(s)		96-GoldenTriangle.01.Ang
71 reference(s)
97-Galerie_FluidMechanics.FV
71 reference(s)		98-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
71 reference(s)
99-xiirc_____.nota.t.
70 reference(s)		100-VirtualChaos.01.Ang
70 reference(s)
101-PatrimoineHumanite.02.Fra
70 reference(s)		102-MathematiquesPhysiqueFractales.12
69 reference(s)
103-Galerie_SalonDAutomne.FV
69 reference(s)		104-Commentaires_ModeleIsingBiDimensionnel.01
69 reference(s)
105-ArtEtMathematiques.01
69 reference(s)		106-ArithmetiqueEtOrdinateur.01.vv.Fra
69 reference(s)
107-PerteDeLaDistributivite.01.DIS2
68 reference(s)		108-Notations_AppartientA.01
68 reference(s)
109-DieuScience.01.Ang
68 reference(s)		110-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
68 reference(s)
111-Commentaires_NKleinBottle.01
68 reference(s)		112-Commentaires_DefinitionComplexes.01
68 reference(s)
113-OrdinateurMathematiquesArt.01.Fra
67 reference(s)		114-NombresEtLumiere.01.vv.Fra
67 reference(s)
115-MonumentValley.01.Fra
67 reference(s)		116-ManyChaos.01.Fra
67 reference(s)
117-ManyChaos.01.Ang
67 reference(s)		118-Exposition_MairieCinquiemeArrondissementParis_202001_202002
67 reference(s)
119-DecimalesPi_100000.vv
67 reference(s)		120-infinity.02.vv
66 reference(s)
121-NombresPremiers_10000.vv
66 reference(s)		122-LeParadoxeDeFermi.01.Fra
66 reference(s)
123-infinity.01.vv
65 reference(s)		124-VisitesGaleriesEnfouies.01.Ang
65 reference(s)
125-OrdinateursEtCalculs.01.Fra
65 reference(s)		126-FaireDeLaRecherche.01.vv
65 reference(s)
127-ExpV_VirE.11
65 reference(s)		128-DuModeleALImage.02.Fra
65 reference(s)

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




Copyright © Jean-François COLONNA, 2022-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2022-2024.