science

Tridiminished rhombicosidodecahedron

Tridiminished rhombicosidodecahedron is a science 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 Tridiminished rhombicosidodecahedron rather than just read about it. In short: In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae removed.

Key takeaways

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

Reference excerpt

In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae removed.

A Johnson solid is one of 92 strictly convex polyhedra that are composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966. Related Johnson solids are:

J76: diminished rhombicosidodecahedron with one cupola removed, J80: parabidiminished rhombicosidodecahedron with two opposing cupolae removed, J81: metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed, and J82: gyrate bidiminished rhombicosidodecahedron with two non-opposing cupolae removed and one cupola rotated 36 degrees.

References

External links Weisstein, Eric W., "Tridiminished rhombicosidodecahedron" ("Johnson solid") at MathWorld.

Illustrations

Worked examples

Example 1 — a first encounter with Tridiminished rhombicosidodecahedron

Start with the simplest possible case. Write down what Tridiminished rhombicosidodecahedron claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Tridiminished rhombicosidodecahedron 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 Tridiminished rhombicosidodecahedron 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 Tridiminished rhombicosidodecahedron

In research: Tridiminished rhombicosidodecahedron appears in science 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 Tridiminished rhombicosidodecahedron 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: Tridiminished rhombicosidodecahedron is common in secondary-school and first-year university syllabi. It links to neighbouring topics Johnson solids, Polyhedron stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Tridiminished rhombicosidodecahedron 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 Tridiminished rhombicosidodecahedron in 20 minutes

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

Frequently asked questions

What is Tridiminished rhombicosidodecahedron in simple terms?

In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae removed.

Why does Tridiminished rhombicosidodecahedron matter?

Because it connects several science 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 Tridiminished rhombicosidodecahedron?

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 Tridiminished rhombicosidodecahedron.