mathematics

Stanko Bilinski

Stanko Bilinski 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 Stanko Bilinski rather than just read about it. In short: Stanko Bilinski (22 April 1909 in Našice – 6 April 1998 in Zagreb) was a Croatian mathematician and academician. He was a professor at the University of Zagreb and a fellow of the Croatian Academy of Sciences and Arts.

Key takeaways

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

Reference excerpt

Stanko Bilinski (22 April 1909 in Našice – 6 April 1998 in Zagreb) was a Croatian mathematician and academician. He was a professor at the University of Zagreb and a fellow of the Croatian Academy of Sciences and Arts. In 1960, he discovered a rhombic dodecahedron of the second kind, the Bilinski dodecahedron. Like the standard rhombic dodecahedron, this convex polyhedron has 12 congruent rhombus sides, but they are differently shaped and arranged. Bilinski's discovery corrected a 75-year-old omission in Evgraf Fedorov's classification of convex polyhedra with congruent rhombic faces.

References

Further reading "In memoriam: Stanko Bilinski (22.4.1909.–6.4.1998.)" (PDF). Glasnik Matematički (in Croatian). 33 (2). Croatian Mathematical Society: 323–333. December 1998. "Stanko Bilinski (1909. – 2009.)" (PDF). miš – matematika i škola (in Croatian).

Worked examples

Example 1 — a first encounter with Stanko Bilinski

Start with the simplest possible case. Write down what Stanko Bilinski 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 Stanko Bilinski 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 Stanko Bilinski 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 Stanko Bilinski

In research: Stanko Bilinski 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 Stanko Bilinski 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: Stanko Bilinski is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1909 births, 1998 deaths, 20th-century Croatian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Stanko Bilinski 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 Stanko Bilinski in 20 minutes

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

Frequently asked questions

What is Stanko Bilinski in simple terms?

Why does Stanko Bilinski 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 Stanko Bilinski?

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 Stanko Bilinski.