mathematics

List of books about polyhedra

List of books about polyhedra 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 List of books about polyhedra rather than just read about it. In short: This is a list of books about polyhedra. Polyhedral models Cut-out kits Jenkins, Gerald; Bear, Magdalen (1998).

Key takeaways

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

Reference excerpt

This is a list of books about polyhedra.

Polyhedral models

Cut-out kits Jenkins, Gerald; Bear, Magdalen (1998). Paper Polyhedra in Colour. Tarquin. ISBN 1-899618-23-6. Advanced Polyhedra 1: The Final Stellation, ISBN 1-899618-61-9. Advanced Polyhedra 2: The Sixth Stellation, ISBN 1-899618-62-7. Advanced Polyhedra 3: The Compound of Five Cubes, ISBN 978-1-899618-63-7. Jenkins, Gerald; Wild, Anne (2000). Mathematical Curiosities. Tarquin. ISBN 1-899618-35-X. More Mathematical Curiosities, Tarquin, ISBN 1-899618-36-8. Make Shapes 1, ISBN 0-906212-00-6. Make Shapes 2, ISBN 0-906212-01-4. Smith, A. G. (1986). Cut and Assemble 3-D Geometrical Shapes: 10 Models in Full Color. Dover. Cut and Assemble 3-D Star Shapes, 1997. Easy-To-Make 3D Shapes in Full Color, 2000. Torrence, Eve (2011). Cut and Assemble Icosahedra: Twelve Models in White and Color. Dover.

Origami Fuse, Tomoko (1990). Unit Origami: Multidimensional Transformations. Japan Publications. ISBN 978-0-87040-852-6. Gurkewitz, Rona; Arnstein, Bennett (1996). 3D Geometric Origami: Modular Origami Polyhedra. Dover. ISBN 9780486135601. Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality, 2002. Beginner's Book of Modular Origami Polyhedra: The Platonic Solids, 2008. Modular Origami Polyhedra, also with Lewis Simon, 2nd ed., 1999. Mitchell, David (1997). Mathematical Origami: Geometrical Shapes by Paper Folding. Tarquin. ISBN 978-1-899618-18-7. Montroll, John (2009). Origami Polyhedra Design. A K Peters. ISBN 9781439871065. A Plethora of Polyhedra in Origami, Dover, 2002.

Other model-making Cundy, H. M.; Rollett, A. P. (1952). Mathematical Models. Clarendon Press. 2nd ed., 1961. 3rd ed., Tarquin, 1981, ISBN 978-0-906212-20-2. Hilton, Peter; Pedersen, Jean (1988). Build Your Own Polyhedra. Addison-Wesley. Wenninger, Magnus (1971). Polyhedron Models. Cambridge University Press. 2nd ed., Polyhedron Models for the Classroom, 1974. Spherical Models, 1979. Dual Models, 1983.

Mathematical studies

Introductory level and general audience Akiyama, Jin; Matsunaga, Kiyoko (2024). Treks into Intuitive Geometry: The World of Polygons and Polyhedra (2nd ed.). Singapore: Springer. ISBN 978-981-99-8607-1. Alsina, Claudi (2017). The Thousand Faces of Geometric Beauty: The Polyhedra. Our Mathematical World. Vol. 23. National Geographic. ISBN 978-84-473-8929-2. Britton, Jill (2001). Polyhedra Pastimes. Dale Seymour Publishing. ISBN 0-7690-2782-2. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. Fetter, Ann E. (1991). The Platonic Solids Activity Book. Key Curriculum Press. Holden, Alan (1971). Shapes, Space and Symmetry. Dover, 1991. le Masne, Roger (2013). Les polyèdres, ou la beauté des mathématiques (in French) (4th ed.). Self-published. Miyazaki, Koji (1983). Katachi to kūkan: Tajigen sekai no kiseki (in Japanese). Wiley. Translated into English as An Adventure in Multidimensional Space: The Art and Geometry of Polygons, Polyhedra, and Polytopes, Wiley, 1986, and into German as Polyeder und Kosmos: Spuren einer mehrdimensionalen Welt, Vieweg, 1987. Pearce, Peter; Pearce, Susan (1979). Polyhedra Primer. Van Nostrand Reinhold. ISBN 978-0-442-26496-3. Pugh, Anthony (1976). Polyhedra: A Visual Approach. University of California Press. Radin, Dan (2008). The Platonic Solids Book. Self-published. Sutton, Daud (2002). Platonic & Archimedean Solids: The Geometry of Space. Wooden Books. ISBN 978-0802713865.

Textbooks Alexandrov, A. D. (2005). Convex Polyhedra. Springer. Translated from 1950 Russian edition. Beck, Matthias; Robins, Sinai (2007). Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra. Undergraduate Texts in Mathematics. Vol. 154. Springer. 2nd ed., 2015, ISBN 978-1-4939-2968-9. Brøndsted, Arne (1983). An Introduction to Convex Polytopes. Graduate Texts in Mathematics. Vol. 90. Springer. Coxeter, H. S. M. (1948). Regular Polytopes. Methuen. 2nd ed., Macmillan, 1963. 3rd ed., Dover, 1973. Fejes Tóth, László (1964). Regular Figures. Pergamon. Grünbaum, Branko (1967). Convex Polytopes. Wiley. 2nd ed., Springer, 2003. Lyusternik, Lazar (1956). Выпуклые фигуры и многогранники (in Russian). Gosudarstv. Izdat. Tehn.-Teor. Lit. Translated into English as Convex Figures and Polyhedra by T. Jefferson Smith, Dover, 1963 and by Donald L. Barnett, Heath, 1966. Pineda Villavicencio, Guillermo (2024). Polytopes and Graphs. Cambridge Studies in Advanced Mathematics. Vol. 211. Cambridge University Press. doi:10.1017/9781009257794. ISBN 978-1-009-25781-7. Roman, Tiberiu (1968). Reguläre und halbreguläre Polyeder [Regular and semiregular polyhedra] (in German). VEB Deutscher Verlag der Wissenschaften. Thomas, Rekha (2006). Lectures in Geometric Combinatorics. American Mathematical Society. Ziegler, Günter M. (1993). Lectures on Polytopes. Springer.

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Worked examples

Example 1 — a first encounter with List of books about polyhedra

Start with the simplest possible case. Write down what List of books about polyhedra 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 List of books about polyhedra 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 List of books about polyhedra 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 List of books about polyhedra

In research: List of books about polyhedra 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 List of books about polyhedra 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: List of books about polyhedra is common in secondary-school and first-year university syllabi. It links to neighbouring topics Bibliographies by subject, Mathematics books, Polyhedra, so understanding it makes those chapters shorter.
In everyday life: Look for List of books about polyhedra 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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Frequently asked questions

What is List of books about polyhedra in simple terms?

This is a list of books about polyhedra. Polyhedral models Cut-out kits Jenkins, Gerald; Bear, Magdalen (1998).

Why does List of books about polyhedra 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 List of books about polyhedra?

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 List of books about polyhedra.