The film tells about the historical stages of the development of metamathematics, from ancient times to the present day, about the role of mathematics and geometry in the development of humanity.
















View of the Universe, celestial bodies and comets (animation).
Appearance of aliens on the surface of a celestial body (animation).
Scheme of the movement of light around the planet (animation).
Illustration of hypotheses about points and lines (animation).
Frescoes depicting priests of Ancient Egypt.
Construction of figures by priests using a cord and knots on it, ancient practical geometry (animation).
Graphic portrait of Pythagoras of Samos.
Map indicating ancient Babylon, India, the Eastern Mediterranean and the island of Samos.
Engraving depicting Pythagoras and his mathematical school.
Transformation of a geometric figure against the background of numbers (Allegory, animation).
Division of the plane into regular polygons according to Pythagoras (animation).
Proof of the Pythagorean theorem on the squares of the hypotenuse and the legs of a right triangle, drawing (animation).
Graphic portrait of Pythagoras.
Three-dimensional geometric figures and a book by Euclid.
A page from Euclidean Geometry.
Portrait of Euclid.
Pages from Euclid's "Elements", texts and images of geometric figures.
Analysis of the fifth postulate of Euclidean geometry (cartoon).
Spread from the book "Elements" by Euclid.
Map of the ancient Mediterranean, Syracuse on the map.
Drawing of the bust of Archimedes.
Page from one of Archimedes' works.
Operation of a machine for irrigating fields with an Archimedes screw (cartoon).
Drawings depicting Archimedes' inventions.
Defenders of Syracuse fighting the Romans (cartoon).
Action of Archimedes' parabolic mirror burning Roman ships (cartoon).
Archimedes' discovery of the law of floating bodies (cartoon).
Geometric illustration of Archimedes' calculation of the number "pi" (cartoon).
Types of curvilinear figures (cartoon).
Illustration of a method for determining the tangent to a whole class of curves, developed by Archimedes and which became the basis of differential calculus (animation).
Cubes with drawings on the faces illustrating the medieval figurative worldview and the alchemical search for the philosopher's stone.
Gothic stained glass.
Photographs of examples of oriental architecture.
An open book on a table.
An ancient mechanism in operation (animation).
Drawings by Arab artists depicting scientists.
Arab drawings of ancient mechanisms.
An open book.
A drawing of a geometric figure on one of the pages of the book.
Illustrations of the revival of European science at the beginning of the Renaissance (allegory, animation).
Illustrations of a dynamic understanding of the surrounding reality (animation).
Engravings depicting Copernicus and other scientists.
Drawings illustrating the discovery of America by Columbus.
The appearance of new lands on a geographical map (animation).
Drawings from the field of exact sciences.
A sheet from an old medical atlas.
An engraving depicting an autopsy of a dead body at a university.
Portraits of Leonardo da Vinci and other scientists.
Parameters of the human body, as illustrated by paintings by Renaissance masters.
Geometric figures in the portrait of Mona Lisa, in the painting "The Last Supper".
Engravings illustrating the development of sciences and arts.
Sheets of an old textbook.
Pages of "Magnitsky's Arithmetic" with illustrations.
Pages of the first Russian primer.
Pages of a work on mechanics with illustrations.
Pages of a book with tables for quick arithmetic, published in Russia.
Illustrations in an old book on geometry.
Portrait of R. Descartes, Descartes' coordinate system (animation).
The equation of infinitesimal calculus, derived at the end of the 17th century, portraits of Newton and Leibniz.
Images of physical devices from the 17th and 18th centuries for scientific research.
Discovery of the law of universal gravitation, diagram of the action and direction of forces (animation).
Portrait of Newton.
Old books on a desk.
Portrait of Leonard Euler.
Edition of Euler's "Universal Arithmetic".
Title pages of Euler's works in Russian and English.
Drawings from the field of geometry and mechanics in Euler's works.
Portraits of Leibniz, Newton, Descartes, Fermat, Lagrange.
One of the formulas of a variable function.
Engravings and drawings of the 18th century illustrating the use of mathematics in military affairs, navigation, construction.
The first tables of logarithms.
Title page of the "Complete Course of Pure Mathematics".
Illustrations and drawings in a textbook on mathematics and geometry of the 18th century.
Image of new industrial equipment.
Scheme of the solution of Euclid's fifth postulate, portrait of Lobachevsky, who solved this problem (cartoon).
Model of a plane in Lobachevsky's geometry - a hyperbolic surface with negative curvature (cartoon).
Scheme of the intersection of two lines according to Euclid, included in Lobachevsky's geometry (cartoon).
Drawing an infinite set of non-intersecting lines through one point according to Lobachevsky's theory (cartoon).
Portrait of Lobachevsky.
Swinging pendulums (animation).
Portrait of the German mathematician Riemann.
Construction of the geometry of lines, planes and bodies, geometry of a set of material particles according to Riemann (animation).
Portrait of A. Einstein.
Formula of Einstein's theory of relativity.
Scheme of Einstein's spatial theory (animation).
Portrait of Einstein.
Illustrations and schemes of creation of a new model of the universe according to Einstein.
Allegorical illustrations of mathematical concepts, ideas, symbols, geometric images in music, science, technology, painting.
Construction of an industrial facility.
Panorama of an industrial enterprise, communication pipes.
Examples of abstract painting, cubism.
Views of high-rise buildings.
View of a part of a road junction (from above).
Work of an automated line and robotic manipulators in production.
Abstract paintings.
Photograph of a biologist examining a plant through a magnifying glass.
Photographs of plants, scientists at work, alternating with abstract paintings.
View of the equipment of a computing center, the center's employees at work.
Data on the monitor screen.
Aliens on a celestial body (animation).
Stars, celestial bodies and comets in outer space, alternating illustrations of the development of mathematical science from ancient times to the present day (allegory, animation).
1982
Leningrad