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Louis Antoine

Louis Antoine 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 Louis Antoine rather than just read about it. In short: Louis Antoine (23 November 1888 – 8 February 1971) was a French mathematician who discovered Antoine's necklace, which J. W.

Key takeaways

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

Reference excerpt

Louis Antoine (23 November 1888 – 8 February 1971) was a French mathematician who discovered Antoine's necklace, which J. W. Alexander used to construct Antoine's horned sphere. He lost his eyesight in the first World War, at the age of 29.

Early life Louis Antoine was born in Mirecourt. He studied at the lycee in Nancy. His father was a director of a manufacturer of matchsticks. After this, he studied at the Collège de Compiègne. He was awarded the bacculareat in Latin and science in 1905 and the bacculareat in mathematics in 1906. He then attended École Normale Supérieure. Once he graduated, he became a mathematics teacher the Lycée de Dijon in Saint-Cyr. He married his wife, Marguerite Rouselle in 1918. After the declaration of World War I, Antoine served as a reserve lieutenant in the 72nd Infantry Regiment of Amiens, and later a commander on the machine gun of the 151st Infantry Regiment. In 1917, he lost his sight as a result of bullets hitting his eyes. After the loss of his vision, Henri Lebesgue suggested that Antoine study two- and three-dimensional topology as it could be studied without the use of his sight.

Work In 1919, Antoine began his doctorate in mathematics at the University of Strasbourg. Antoine was assisted by his friends during his studies, who produced braille copies of mathematical papers. Antoine developed a system of braille mathematical notation, with the assistance of a student at École Normale Supérieure. Antoine discovered Antoine's necklace in 1921. He submitted his thesis in 1921. In 1922, Antoine became an assistant lecturer at the Faculty of Sciences in Rennes. He subsequently became a professor of Pure Mathematics at Rennes in 1925.

Later life and death Antoine began to experience heart disease in 1957. He subsequently retired from his professorship. He was elected to the Académie des Sciences in 1961. He died in 1971 after fracturing his neck.

References

Worked examples

Example 1 — a first encounter with Louis Antoine

Start with the simplest possible case. Write down what Louis Antoine 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 Louis Antoine 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 Louis Antoine 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 Louis Antoine

In research
Louis Antoine 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 Louis Antoine 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
Louis Antoine is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1888 births, 1971 deaths, 20th-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Louis Antoine 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 Louis Antoine in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Louis Antoine 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 Louis Antoine out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Louis Antoine in simple terms?

Louis Antoine (23 November 1888 – 8 February 1971) was a French mathematician who discovered Antoine's necklace, which J. W.

Why does Louis Antoine 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 Louis Antoine?

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 Louis Antoine.

Tags

  • 1888 births
  • 1971 deaths
  • 20th-century French mathematicians
  • Blind scientists
  • French blind people
  • French scientists with disabilities
  • People from Mirecourt
  • École normale supérieure (Paris) alumni

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