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Maurice Princet

Maurice Princet is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Maurice Princet rather than just read about it. In short: 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, Max Jacob, Jean Metzinger, and Marcel Duchamp.

Maurice Princet — main illustration
Maurice Princet — illustration

Key takeaways

  • Maurice Princet belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Maurice Princet to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Maurice Princet from memory before moving on to harder problems.

Reference excerpt

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, 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 "fourth dimension" to the cubists at the 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 Hypothesis in which Jouffret described hypercubes and other complex polyhedra in four dimensions and projected them onto the two-dimensional page. Picasso's sketchbooks for Les Demoiselles d'Avignon illustrate Jouffret's influence on the artist's work. In 1907, Princet's wife left him for André Derain, and he drifted away from the circle of artists at the Bateau-Lavoir. But Princet remained close to Metzinger and participated in meetings of the Section d'Or in Puteaux. He gave informal lectures to the group, many of whom were passionate about mathematical order. Princet's influence on the cubists was attested to by his contemporaries. Maurice de Vlaminck wrote, "I witnessed the birth of cubism, its growth, its decline. Picasso was the obstetrician, Guillaume Apollinaire the midwife, Princet the godfather." In 1910, Metzinger said of him, "[Picasso] lays out a free, mobile perspective, from which that ingenious mathematician Maurice Princet has deduced a whole geometry". Later, Metzinger wrote in his memoirs that:

Maurice Princet joined us often. Although quite young, thanks to his knowledge of mathematics he had an important job in an insurance company. But, beyond his profession, it was as an artist that he conceptualized mathematics, as an aesthetician that he invoked n-dimensional continuums. He loved to get the artists interested in the new views on space that had been opened up by Schlegel and some others. He succeeded at that. Louis Vauxcelles sarcastically dubbed Princet "the father of cubism":

M. Princet has studied at length non-Euclidean geometry and the theorems of Riemann, of which Gleizes and Metzinger speak rather carelessly. Now then, M. Princet one day met M. Max Jacob and confided him one or two of his discoveries relating to the fourth dimension. M. Jacob informed the ingenious M. Picasso of it, and M. Picasso saw there a possibility of new ornamental schemes. M. Picasso explained his intentions to M. Apollinaire, who hastened to write them up in formularies and codify them. The thing spread and propagated. Cubism, the child of M. Princet, was born. Duchamp told Pierre Cabanne, "We weren't mathematicians at all, but we really did believe in Princet".

See also Actuary Esprit Jouffret Mathematics and art

Notes

Further reading

Illustrations

Maurice Princet: An illustration from Esprit Jouffret's Traité élémentaire de géométrie à quatre dimensions. The 1903 book, which influenced Picasso, was given to him by Princet.
An illustration from Esprit Jouffret's Traité élémentaire de géométrie à quatre dimensions. The 1903 book, which influenced Picasso, was given to him by Princet.

Worked examples

Example 1 — a first encounter with Maurice Princet

Start with the simplest possible case. Write down what Maurice Princet claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Maurice Princet before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Maurice Princet ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Maurice Princet

In research
Maurice Princet appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Maurice Princet in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Maurice Princet is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1875 births, 1973 deaths, Cubism, so understanding it makes those chapters shorter.
In everyday life
Look for Maurice Princet outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Maurice Princet in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Maurice Princet means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Maurice Princet out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Maurice Princet in simple terms?

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, Max Jacob, Jean Metzinger, and Marcel Duchamp.

Why does Maurice Princet matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Maurice Princet?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Maurice Princet.

Tags

  • 1875 births
  • 1973 deaths
  • Cubism
  • French actuaries
  • French art
  • French mathematicians

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