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Description
Regular PolytopesPolytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite H. S. M. Coxeter's book is the
Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them.Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1973
ISBN: 9780486614809
Pages: 368
Weight: 0.85lbs
Size: 8.47h x 5.41w x 0.68d
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4.7 ★★★★★
Based on 7 reviews
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Product Reviews
★★★★★ 5
delightful read
Format: Kindle
What a delightful read. The characters are awesome, the plot was so good, I loved it. I was intrigued and it kept me wanting more. Told in multiple pov, the book sucks you in and doesn’t let go. I cannot wait to read the next book.
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Reviewed in the United States on January 30, 2025
★★★★★ 4
not bad
Format: Kindle
I loved the plot of this book. The characters just didn’t have a lot of depth. The connections and “love” just weren’t communicated very well in the writing. The author didn’t write the sweet psycho trope very well at all either. Lachlan was just a mess of a character.
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Reviewed in the United States on November 17, 2023
★★★★★ 5
A Beta Worth Rooting For
Format: Kindle
In Spare, Violet Fox flips the omegaverse on its head, giving us a Beta heroine determined to make her mark. Joining the Beta Trials to support her sick father, she's thrown into a pack that doesn't want her, especially the possessive Alphas.
But here's the twist: their sweet Omega turns out to be her scent match. Cue the angst, forbidden tension, and a slow-burn romance that will make your heart ache in the best way.
Violet Fox delivers an emotional, refreshing take on the genre, proving Betas aren't "spares." They're stars.
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Reviewed in the United States on January 10, 2025
★★★★★ 5
Beta, Alpha, Omega oh my!
Format: Kindle
Omegas are precious and given to Alphas & their packs... but the Betas want in too. To this end, the Beta government is rolling out its trial of assigning a Beta to each Alpha-Omega pack. But forcing a Beta into a pack where they are not wanted will not end well... Of course, no one expected the Omega to fall for the assigned Beta. Great read and cliffhanger
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Reviewed in the United States on February 15, 2025
★★★★★ 3
A familiar story, just with…..less.
Format: Kindle
So, as other reviewers make clear, this is very similar to Pack Darling and The Beta. It’s much closer aligned with The Beta, in plot and maybe more like Pack Darling with characters.
That being said, I don’t hate this…..but it wasn’t great either. It’s both books mentioned but just….less. Less angst, less emotion, less feeling. The plot feels very half fleshed out, and the “bad guy” feels underwhelming. I didn’t really feel any real emotions from and of the male leads, except maybe Oliver. The others fell sorta flat for me. And Mika makes herself out to be this big bad ass straight outta training and then we never see it from here again with the one fitting room incident as the exception.
SPOILER:
The whole, “Oh, I’m actually probably an Omega, but I don’t wanna be but I do actually wanna be but no one can ever know my secret that I do nothing to hide “ thing fell so flat. She never commutes to believing she was secretly an omega, but also mentions her “secret” a lot. It just felt so manufactured.
I’m intrigued enough to read part 2 and see how the author closes everything out, but this is not one I’ll recommend or ever come back to.
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Reviewed in the United States on February 13, 2024