Fomenko A.T.
MATHEMATICAL IMPRESSIONS

AMS (American Mathematical Society), USA,Provedence, 1990.

POSTERS BY ANATOLY FOMENKO

Index of images

The Alexander horned sphere
The Alexander horned sphere
A space with nontrivial local homology
A space with nontrivial local homology
Topological zoo
Topological zoo
A 2-adic solenoid
A 2-adic solenoid
The star diagram of Hertzsprung and Russell
The star diagram of Hertzsprung and Russell
Geometry of the spectrum-luminosity diagram
Geometry of the spectrum-luminosity diagram
A spectral sequence
A spectral sequence
The cylinder of a continuous mapping
The cylinder of a continuous mapping
A fiber space
A fiber space
Spectral sequences and orbits of the action of groups
Spectral sequences and orbits of the action of groups
The action of the fundamental group on the higher homotopy groups
The action of the fundamental group on the higher homotopy groups
Homotopy groups of spheres
Homotopy groups of spheres
Deformation of the Riemann surface of an algebraic function
Deformation of the Riemann surface of an algebraic function
Morse functions and the theorem about the Euler characteristic
Morse functions and the theorem about the Euler characteristic
The separatrix diagram of a critical saddle point of a smooth function on a 3-dimensional manifold
The separatrix diagram of a critical saddle point of a smooth function on a 3-dimensional manifold
Proper Morse functions on 3-dimensional manifolds
Proper Morse functions on 3-dimensional manifolds
Motion of a heavy rigid body in space
Motion of a heavy rigid body in space
An algebraic Kummer surface and its singular points
An algebraic Kummer surface and its singular points
2-dimensional polyhedra and incidence matrices
2-dimensional polyhedra and incidence matrices
Simplicial, cubic, cellular chains
Simplicial, cubic, cellular chains
Algebraic surfaces of higher order and the simplicial approximation theorem
Algebraic surfaces of higher order and simplicial approximation theorem
The Euclidean plane — the simplest minimal surface
The Euclidean plane - the simplest minimal surface
A theorem in symplectic geometry
A theorem in symplectic geometry
Turbulence and associations outside mathematics
Turbulence and associations outside mathematics
Spines of 3-dimensional manifolds
Spines of 3-dimensional manifolds
An orbit of the action of an infinite group
An orbit of the action of an infinite group
The boundary of polyhedra can be diminished when they are glued together
The boundary of polyhedra can be diminished when they are glued together
A nontrivial knot in 3-dimensional space
A nontrivial knot in 3-dimensional space
Between two maxima there is always a saddle point
Between two maxima there is always a saddle point
A 2-dimensional sphere in 3-dimensional space can be turned inside out
A 2-dimensional sphere in 3-dimensional space can be turned inside out
Simplicial complexes
Simplicial complexes
Polyhedra and simplicial chains
Polyhedra and simplicial chains
The boundary operator
The boundary operator
The method of killing spaces in homotopic topology
The method of killing spaces in homotopic topology
The theorem on the coincidence of simplicial and cellular homology
The theorem on the coincidence of simplicial and cellular homology
A system of shrinking neighborhoods
A system of shrinking neighborhoods
Singularities of smooth functions
Singularities of smooth functions
Simplicial spaces, cellular spaces, crystal and liquid
Simplicial spaces, cellular spaces, crystal and liquid
Rolling and sliding
Rolling and sliding
Combinatorial contraction
Combinatorial contraction
Geometric fantasy on the theme of analytic functions
Geometric fantasy on the theme of analytic functions
Discrete groups generated by reflections
Discrete groups generated by reflections
Construction of complicated polyhedra from simple ones, I
Construction of complicated polyhedra from simple ones, I

номер?
Construction of complicated polyhedra from simple ones, II
Construction of complicated polyhedra from simple ones, II

номер?
Construction of complicated polyhedra from simple ones, III
Construction of complicated polyhedra from simple ones, III
Construction of complicated polyhedra from simple ones, IV
Construction of complicated polyhedra from simple ones, IV
From chaos to order
From chaos to order
Mathematical infinity
Mathematical infinity
Interior and boundary points of a manifold and symmetric spaces
Interior and boundary points of a manifold and symmetric spaces
Theory of oscillations and wave processes
Theory of oscillations and wave processes
Impact
Impact
Billiards and ergodicity
Billiards and ergodicity
The Poisson-Laplace theorem and the Plateau principles
The Poisson-Laplace theorem and the Plateau principles
A heavy top drifting in space
A heavy top drifting in space

How does a drop of liquid tear loose?
How does a drop of liquid tear loose?
Branched coverings over a sphere
Branched coverings over a sphere
Anti-Diirer. From the cycle: Dialogue with authors of the 16th century
Anti-Diirer. From the cycle: Dialogue with authors of the 16th century
A stare
A stare
A retraction of a space onto a subspace of it
A retraction of a space onto a subspace of it
Spines of two 3-dimensional compact closed hyperbolic manifolds of smallest complexity
Spines of two 3-dimensional compact closed hyperbolic manifolds of smallest complexity
Picture of a gas flowing around a ball
Picture of a gas flowing around a ball
Cellular spaces
Cellular spaces
Random processes in probability
Random processes in probability
Statistical fantasy
Statistical fantasy
The remarkable numbers pi and e, II
The remarkable numbers π and e, II
The remarkable numbers pi and e, I
The remarkable numbers π and e, I
Geometry and probability
Geometry and probability
Gaussian distributions, I
Gaussian distributions, I
Unstructured chaos and geometry
Unstructured chaos and geometry
Gaussian distributions, II
Gaussian distributions, II
Homotopy and the tearing off of a drop from a hard surface
Homotopy and the tearing off of a drop from a hard surface
Homotopy and a viscous liquid
Homotopy and a viscous liquid
 Level  surfaces of complicated smooth functions
Level surfaces of complicated smooth functions


ПОВЕРХНОСТЬ УРОВНЯ СЛОЖНОЙ ГЛАДКОЙ ФУНКЦИИ ?
Gradient descent
Gradient descent
Portrait of my wife, Tanya
Portrait of my wife, Tanya
Mathematical preciseness and the concept of a fuzzy set
Mathematical preciseness and the concept of a fuzzy set
Singular points of vector fields and the boundary layer in the flow of a liquid around a rigid body
Singular points of vector fields and the boundary layer in the flow of a liquid around a rigid body
The music club Topaz in the Mechanics—Mathematics
Department of Moscow University
The music club "Topaz" in the Mechanics - Mathematics Department of Moscow University
The apocalypse (Revelation)
The apocalypse (Revelation)
The temptation of St. Anthony
The temptation of St. Anthony
Anti-Breughel. From the cycle: Dialogue with authors of the 16th century
Anti-Breughel. From the cycle: Dialogue with authors of the 16th century
Geometric fantasy
Geometric fantasy
Geometric fantasy
Geometric fantasy
Topological restructuring of level surfaces of smooth functions on manifolds
Topological restructuring of level surfaces of smooth functions on manifolds
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