science

Metabiaugmented dodecahedron

Metabiaugmented 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 Metabiaugmented dodecahedron rather than just read about it. In short: In geometry, the metabiaugmented dodecahedron is one of the Johnson solids (J60). It can be viewed as a dodecahedron with two pentagonal pyramids (J2) attached to two faces that are separated by one face.

Key takeaways

Metabiaugmented 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 Metabiaugmented dodecahedron to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Metabiaugmented dodecahedron from memory before moving on to harder problems.

Reference excerpt

In geometry, the metabiaugmented dodecahedron is one of the Johnson solids (J60). It can be viewed as a dodecahedron with two pentagonal pyramids (J2) attached to two faces that are separated by one face. (The two faces are not opposite, but not adjacent either.) When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron (J58), a parabiaugmented dodecahedron (J59), a triaugmented dodecahedron (J61), or even a pentakis dodecahedron if the faces are made to be irregular. 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., "Metabiaugmented dodecahedron" ("Johnson Solid") at MathWorld.

Illustrations

Worked examples

Example 1 — a first encounter with Metabiaugmented dodecahedron

Start with the simplest possible case. Write down what Metabiaugmented 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 Metabiaugmented 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 Metabiaugmented 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 Metabiaugmented dodecahedron

In research: Metabiaugmented 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 Metabiaugmented 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: Metabiaugmented 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 Metabiaugmented 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Metabiaugmented dodecahedron” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Metabiaugmented dodecahedron in 20 minutes

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

Frequently asked questions

What is Metabiaugmented dodecahedron in simple terms?

Why does Metabiaugmented 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 Metabiaugmented 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 Metabiaugmented dodecahedron.