mathematics

Pieter Hendrik Schoute

Pieter Hendrik Schoute 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 Pieter Hendrik Schoute rather than just read about it. In short: Pieter Hendrik Schoute (21 January 1846, Wormerveer – 18 April 1913, Groningen) was a Dutch mathematician known for his work on regular polytopes and Euclidean geometry. He started his career as a civil engineer, but became a professor of mathematics at Groningen and published some thirty papers on polytopes between 1878 and his death in 1913.

Key takeaways

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

Reference excerpt

Pieter Hendrik Schoute (21 January 1846, Wormerveer – 18 April 1913, Groningen) was a Dutch mathematician known for his work on regular polytopes and Euclidean geometry. He started his career as a civil engineer, but became a professor of mathematics at Groningen and published some thirty papers on polytopes between 1878 and his death in 1913. He collaborated with Alicia Boole Stott on describing the sections of the regular 4-polytopes. In 1886, he became member of the Royal Netherlands Academy of Arts and Sciences.

Citations

References P. H. Schoute (1911). "Analytical treatment of the polytopes regularly derived from the regular polytopes" (PDF). Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam. Section I. XI (3). Amsterdam: Johannes Müller. Archived from the original (PDF) on 22 January 2025. P. H. Schoute (1913). "Analytical treatment of the polytopes regularly derived from the regular polytopes" (PDF). Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam. Sections II, III, IV. XI (5). Amsterdam: Johannes Müller. Archived from the original (PDF) on 22 February 2025. Coxeter, H.S.M. (1973) [1948]. Regular Polytopes (3rd ed.). New York: Dover.

External links O'Connor, John J.; Robertson, Edmund F., "Pieter Hendrik Schoute", MacTutor History of Mathematics Archive, University of St Andrews Pieter Hendrik Schoute at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Pieter Hendrik Schoute

Start with the simplest possible case. Write down what Pieter Hendrik Schoute 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 Pieter Hendrik Schoute 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 Pieter Hendrik Schoute 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 Pieter Hendrik Schoute

In research: Pieter Hendrik Schoute 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 Pieter Hendrik Schoute 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: Pieter Hendrik Schoute is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1846 births, 1913 deaths, 19th-century Dutch mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Pieter Hendrik Schoute 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 Pieter Hendrik Schoute in 20 minutes

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

Frequently asked questions

What is Pieter Hendrik Schoute in simple terms?

Why does Pieter Hendrik Schoute 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 Pieter Hendrik Schoute?

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 Pieter Hendrik Schoute.