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Parabiaugmented truncated dodecahedron

Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron rather than just read about it. In short: In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids (J69). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two parallel decagonal faces of a truncated dodecahedron.

Parabiaugmented truncated dodecahedron — main illustration
Parabiaugmented truncated dodecahedron — illustration

Key takeaways

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

Reference excerpt

In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids (J69). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two parallel decagonal faces of a truncated dodecahedron. 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.

References

External links Weisstein, Eric W., "Parabiaugmented truncated dodecahedron" ("Johnson solid") at MathWorld.

Illustrations

Parabiaugmented truncated dodecahedron illustration
Parabiaugmented truncated dodecahedron illustration
Parabiaugmented truncated dodecahedron: 3D model of a parabiaugmented truncated dodecahedron
3D model of a parabiaugmented truncated dodecahedron

Worked examples

Example 1 — a first encounter with Parabiaugmented truncated dodecahedron

Start with the simplest possible case. Write down what Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron

In research
Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron 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
Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron in 20 minutes

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

Frequently asked questions

What is Parabiaugmented truncated dodecahedron in simple terms?

In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids (J69). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two parallel decagonal faces of a truncated dodecahedron.

Why does Parabiaugmented truncated dodecahedron 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 Parabiaugmented truncated dodecahedron?

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 Parabiaugmented truncated dodecahedron.

Tags

  • Johnson solids
  • Polyhedron stubs

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