astronomy

John Montroll

John Montroll is a astronomy 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 John Montroll rather than just read about it. In short: John Montroll (born January 1, 1960) is an American origami artist, author, teacher, and mathematician. He has written many books on origami, promoting the single-square, no-cut, no glue approach.

Key takeaways

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

Reference excerpt

John Montroll (born January 1, 1960) is an American origami artist, author, teacher, and mathematician. He has written many books on origami, promoting the single-square, no-cut, no glue approach. Montroll taught mathematics at St. Anselm's Abbey School in Washington, D.C. from 1990 to 2021.

Biography John Montroll was born in Washington, D.C. He is the son of Elliott Waters Montroll, an American scientist and mathematician. He has a Bachelor of Arts degree in Mathematics from the University of Rochester, a Master of Arts in Electrical Engineering from the University of Michigan, and a Master of Arts in applied mathematics from the University of Maryland. Montroll mastered his first origami book, Isao Honda's How to make Origami, at the age of six, the same age he began creating his own origami animals. He became a member of the Origami Center of America at age twelve. He attended his first origami convention at age 14. In 2021, Montroll retired from his job at St. Anselm's Abbey School in Washington, D.C., where he taught mathematics, as well as an origami class. One of John Montroll's hobbies is whistling. He claims to be able to whistle in five octaves and to have shown this talent at two whistling conventions in Louisburg, North Carolina. John Montroll pioneered modern origami with the publication of his first book, Origami for the Enthusiast; Dover Publications, 1979, which was the first origami book where each model is folded from single square sheet and no cuts. In the same book he introduced the origami term "double rabbit ear fold." He is also known for inventing the "dog base". His work in the field of origami was briefly mentioned in the York series by author Laura Ruby.

Publications Origami for the Enthusiast; Dover Publications, 1979 ISBN 0486237990 Animal Origami for the Enthusiast; Dover Publications, 1985 ISBN 0486247929 Origami American Style; Zenagraf, 1990 ISBN 0962725404 Origami Sculptures (with Andrew Montroll); Antroll Pub. Co., 1990 ISBN 187765602X Origami Sea Life (with Robert J. Lang); Dover Publications, 1990 ISBN 0486267652 Prehistoric Origami; Dover Publications, 1990 ISBN 0486265889 African Animals in Origami; Dover Publications, 1991 ISBN 0486269779 Easy Origami; Dover Publications, 1992 ISBN 0486272982 Origami Inside-Out; Dover Publications, 1993 ISBN 0486276740 Birds in Origami; Dover Publications, 1995 ISBN 0486283410 North American Animals in Origami; Dover Publications, 1995 ISBN 0486286673 Favorite Animals in Origami; Dover Publications, 1996 ISBN 0486291367 Mythological Creatures and the Chinese Zodiac in Origami; Dover Publications, 1996 ISBN 0486289710 Teach Yourself Origami; Dover Publications, 1998 ISBN 0486401413 Bringing Origami to Life; Dover Publications, 1999 ISBN 0486407144 Dollar Bill Animals in Origami; Dover Publications, 2000 ISBN 0486411575 Bugs and Birds in Origami; Dover Publications, 2001 ISBN 0486417735 A Plethora of Origami Polyhedra; Dover Publications, 2002 ISBN 0486422712 Dollar Bill Origami; Dover Publications, 2003 ISBN 0486429822 A Constellation of Origami Polyhedra; Dover Publications, 2004 ISBN 0486439585 Origami: Birds And Insects; Dover Publications, 2004 ISBN 0486439720 Origami: Wild Animals; Dover Publications, 2004 ISBN 0486439704 Easy Christmas Origami; Dover Publications, 2006 ISBN 0486450244 Christmas Origami; Dover Publications, 2006 ISBN 0486450252 Storytime Origami; Dover Publications, 2009 ISBN 0486467864 Origami Polyhedra Design; AK Peters, 2009 ISBN 1568814585 eZ Origami; Kindle Edition by Antroll Publishing Company (April 17, 2010) eZ Origami; Smashwords Edition by eOrigami Publishing (May 8, 2010) Easy Dollar Bill Origami; Dover Publications (May 20, 2010), ISBN 0486470091 Dinosaur Origami; Dover Publications (June 9, 2010), ISBN 0486477800 Origami Jungle Birds; Kindle Edition by Antroll Publishing Company; 1 edition (June 16, 2010) Origami Under The Sea (with Robert J. Lang); Dover Publications (July 15, 2010) ISBN 0486477843 Origami Dinosaurs for Beginners; Dover Publications, 2013, ISBN 0486498190

Notes

External links www.johnmontroll.com Montroll books on Amazon.com

Illustrations

Worked examples

Example 1 — a first encounter with John Montroll

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

In research: John Montroll appears in astronomy 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 John Montroll 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: John Montroll is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1960 births, 21st-century American academics, American art writers, so understanding it makes those chapters shorter.
In everyday life: Look for John Montroll 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 John Montroll in 20 minutes

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

Frequently asked questions

What is John Montroll in simple terms?

John Montroll (born January 1, 1960) is an American origami artist, author, teacher, and mathematician. He has written many books on origami, promoting the single-square, no-cut, no glue approach.

Why does John Montroll matter?

Because it connects several astronomy 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 John Montroll?

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 John Montroll.