Esprit Jouffret
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Esprit Jouffret
Esprit Jouffret (15 March 1837 – 6 November 1904) was a French artillery officer, insurance actuary and mathematician, author of ''Traité élémentaire de géométrie à quatre dimensions'' (''Elementary Treatise on the Geometry of Four Dimensions'', 1903), a popularization of Henri Poincaré's ''Science and Hypothesis'' in which Jouffret described hypercubes and other complex Polyhedron, polyhedra in four dimensions and projected them onto the two-dimensional page. Maurice Princet brought ''Traite'' to artist Pablo Picasso's attention. Picasso's sketchbooks for his 1907 painting ''Les Demoiselles d'Avignon'' illustrate Jouffret's influence on the artist's work. Esprit Jouffret was credited in the 2022 novel Music in the Mirrors' for discovering the 5,857 worlds making up the universe. See also *Maurice Princet References

{{DEFAULTSORT:Jouffret, Espirit 1837 births 1904 deaths French mathematicians French actuaries Cubist artists ...
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Jouffret
The Jouffret was a French automobile manufactured between 1920 and 1926. Built by Léon Demeester, first in Suresnes and then in Colombes they were sometimes marketed under his own name. They used 1172 cc and 1616 cc ohv engines from S.C.A.P. and Ruby. In 1923, the company took over Sidéa, and began production of Sidéa-Jouffret cars. References

David Burgess Wise, ''The New Illustrated Encyclopedia of Automobiles'' Defunct motor vehicle manufacturers of France {{vintage-auto-stub ...
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Artillery
Artillery is a class of heavy military ranged weapons that launch munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during sieges, and led to heavy, fairly immobile siege engines. As technology improved, lighter, more mobile field artillery cannons developed for battlefield use. This development continues today; modern self-propelled artillery vehicles are highly mobile weapons of great versatility generally providing the largest share of an army's total firepower. Originally, the word "artillery" referred to any group of soldiers primarily armed with some form of manufactured weapon or armor. Since the introduction of gunpowder and cannon, "artillery" has largely meant cannons, and in contemporary usage, usually refers to shell-firing guns, howitzers, and mortars (collectively called ''barrel artillery'', ''cannon artillery'', ''gun artillery'', or - a layman t ...
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Actuary
An actuary is a business professional who deals with the measurement and management of risk and uncertainty. The name of the corresponding field is actuarial science. These risks can affect both sides of the balance sheet and require asset management, liability management, and valuation skills. Actuaries provide assessments of financial security systems, with a focus on their complexity, their mathematics, and their mechanisms. While the concept of insurance dates to antiquity, the concepts needed to scientifically measure and mitigate risks have their origins in the 17th century studies of probability and annuities. Actuaries of the 21st century require analytical skills, business knowledge, and an understanding of human behavior and information systems to design and manage programs that control risk. The actual steps needed to become an actuary are usually country-specific; however, almost all processes share a rigorous schooling or examination structure and take many years ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hyp ...
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Henri Poincaré
Jules Henri Poincaré ( S: stress final syllable ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime. As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics. In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory. He is also considered to be one of the founders of the field of topology. Poincaré made clear the importance of paying attention to the invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form. Poincaré disc ...
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Science And Hypothesis
''Science and Hypothesis'' (french: La Science et l'Hypothèse) is a book by French mathematician Henri Poincaré, first published in 1902. Aimed at a non-specialist readership, it deals with mathematics, space, physics and nature. It puts forward the theses that absolute truth in science is unattainable, and that many commonly held beliefs of scientists are held as convenient conventions rather than because they are more valid than the alternatives. In this book, Poincaré describes open scientific questions regarding the photo-electric effect, Brownian motion, and the relativity of physical laws in space. Reading this book inspired Albert Einstein's subsequent Annus Mirabilis papers The ''annus mirabilis'' papers (from Latin '' annus mīrābilis'', "miracle year") are the four papers that Albert Einstein published in '' Annalen der Physik'' (''Annals of Physics''), a scientific journal, in 1905. These four papers were major ... published in 1905. A new translation was publi ...
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Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square () and a cube (). It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length. A unit hypercube's longest diagonal in ''n'' dimensions is equal to \sqrt. An ''n''-dimensional hypercube is more commonly referred to as an ''n''-cube or sometimes as an ''n''-dimensional cube. The term measure polytope (originally from Elte, 1912) is also used, notably in the work of H. S. M. Coxeter who also labels the hypercubes the γn polytopes. The hypercube is the special case of a hyperrectangle (also called an ''n-orthotope''). A ''unit hypercube'' is a hypercube whose side has length one unit. Often, the hypercube whose corners (or ''vertices'') are the 2''n'' points in R''n'' with each coordinate equal to 0 or 1 is called ''the'' unit hypercube. Construction A hype ...
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Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons; ) is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is the convex hull of finitely many points, not all on the same plane. Cubes and pyramids are examples of convex polyhedra. A polyhedron is a 3-dimensional example of a polytope, a more general concept in any number of dimensions. Definition Convex polyhedra are well-defined, with several equivalent standard definitions. However, the formal mathematical definition of polyhedra that are not required to be convex has been problematic. Many definitions of "polyhedron" have been given within particular contexts,. some more rigorous than others, and there is not universal agreement over which of these to choose. Some of these definitions exclude shapes that have often been counted as polyhedra (such as the self-crossing polyhedra) or include shapes that are often not considered as valid po ...
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Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on itfor example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on itfor example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces. In classical mechanics, space and time are different categories and refer to absolute space and time. That conception of the world is a four-dimensional space but not the one that was f ...
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Maurice Princet
Maurice Princet (1875 – October 23, 1973) was a French mathematician and actuary who played a role in the birth of cubism. He was an associate of Pablo Picasso, Guillaume Apollinaire Guillaume Apollinaire) of the Wąż coat of arms. (; 26 August 1880 – 9 November 1918) was a French poet, playwright, short story writer, novelist, and art critic of Polish descent. Apollinaire is considered one of the foremost poets of t ..., Max Jacob, Jean Metzinger, and Marcel Duchamp. He is known as "le mathématicien du cubisme" ("the mathematician of cubism"). Princet is credited with introducing the work of Henri Poincaré and the concept of the "Four-dimensional space, fourth dimension" to the cubists at the Le Bateau-Lavoir, Bateau-Lavoir. Princet brought to Picasso's attention a 1903 book by Esprit Jouffret, ''Traité élémentaire de géométrie à quatre dimensions'' (''Elementary Treatise on the Geometry of Four Dimensions''), a popularization of Poincaré's ''Science and Hypo ...
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Pablo Picasso
Pablo Ruiz Picasso (25 October 1881 – 8 April 1973) was a Spanish painter, sculptor, printmaker, ceramicist and Scenic design, theatre designer who spent most of his adult life in France. One of the most influential artists of the 20th century, he is known for co-founding the Cubist movement, the invention of Assemblage (art), constructed sculpture, the co-invention of collage, and for the wide variety of styles that he helped develop and explore. Among his most famous works are the Proto-Cubism, proto-Cubist ''Les Demoiselles d'Avignon'' (1907), and the anti-war painting ''Guernica (Picasso), Guernica'' (1937), Guernica (Picasso)#Composition, a dramatic portrayal of the bombing of Guernica by German and Italian air forces during the Spanish Civil War. Picasso demonstrated extraordinary artistic talent in his early years, painting in a naturalistic manner through his childhood and adolescence. During the first decade of the 20th century, his style changed as he experimente ...
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Les Demoiselles D'Avignon
''Les Demoiselles d'Avignon'' (''The Young Ladies of Avignon'', originally titled ''The Brothel of Avignon'') is a large oil painting created in 1907 by the Spanish artist Pablo Picasso. The work, part of the permanent collection of the Museum of Modern Art, portrays five nude female Prostitution, prostitutes in a brothel on Carrer d'Avinyó, a street in Barcelona, Spain. Each figure is depicted in a disconcerting confrontational manner and none is conventionally Femininity, feminine. The women appear slightly menacing and are rendered with angular and disjointed body shapes. The figure on the left exhibits facial features and dress of Egyptian or southern Asian style. The two adjacent figures are shown in the Iberians, Iberian style of Picasso's native Spain, while the two on the right are shown with African traditional masks, African mask-like features. The ethnic primitivism evoked in these masks, according to Picasso, moved him to "liberate an utterly original artistic style o ...
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