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Description
Shapes, Space, and Symmetry"Altogether a most instructive, entertaining, and esthetically pleasing book." Science. Since the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably
"Altogether a most instructive, entertaining, and esthetically pleasing book." -- Science.Since the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three-dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably diverse ways by engineers and builders, chemists and crystallographers, architects and sculptors.
This book describes very clearly and simply, and illustrates with beautiful photographs of models, a great number of three-dimensional figures, all but a few consisting of plane faces bounded by straight lines. It examines the nine regular solids -- the five commonly called Platonic, described by Theaetetus in the fourth century B.C., and the four called Kepler-Poinsot, two each of which were discovered by Kepler and Poinsot many centuries later. And it examines many variations obtained by truncation, stellation, dualization, and compounding.
Writing for the layman as well as the student or professional in mathematics, Alan Holden explains the structure of the figures and demonstrates how they can be used to explain mathematics visually rather than by symbol systems, an effort hailed by Scientific American magazine as "a victory of clear, connected thinking over the theorematic method." At the end of the book the author includes a section containing instructions for constructing cardboard models.
Binding Type: Paperback
Publisher: Dover Publications
Published: 03/14/2012
ISBN: 9780486268514
Pages: 208
Weight: 0.65lbs
Size: 8.90h x 5.90w x 0.60d
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4.8 ★★★★★
Based on 24 reviews
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Product Reviews
★★★★★ 5
Looks good works great
Item Package Quantity: 1, Color: Silver
This is a nice paper towel holder. I keep it on my counter and it looks great. Its easy to use although I haven't tried it one handed. I like it and I think it was a good price. It was very heavy and works great.
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Reviewed in the United States on May 21, 2026
★★★★★ 5
Great and Useful
Item Package Quantity: 1, Color: Silver
This is a great and very functional paper towel holder. It is heavy enough to stay where you put it and the tension arm holds the paper towels really well so that you can actually tear one off with one hand. There is a ring on the top of the holder so, if you have two hands free you could hold on to that for stablizing the holder but it really isn't necessary because it stays in place really well.
The only advise I would give is to be sure that the next paper towel on the roll is a bit past the tension arm so that you don't have to adjust the roll to get the arm to hold the next towel. This is a great invention and I'm so happy that I have found it.
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Reviewed in the United States on April 17, 2026
★★★★★ 5
Stable and attractive
Item Package Quantity: 1, Color: Black
Love the black, it matches my kitchen well. Very sturdy, more so than the Simple Human one that the tension arm broke. A very good product.
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Reviewed in the United States on May 21, 2026
★★★★★ 5
Great paper towel holder
Item Package Quantity: 1, Color: Black
This paper towel holder works well for holding the roll while you pull off single sheets. It's heavy and sturdy.
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Reviewed in the United States on April 24, 2026
★★★★★ 4
Passed (my) test: 4/5
Item Package Quantity: 1, Color: Black
I used to have a paper holder affixed to the wall. Obviously, it was stable but not always delivering the size of paper towel that we expected.
After redoing my kitchen backsplash that I didn’t want to pierce through just yet, i decided to go for an countertop paper towel holder, and i picked this one (in black) Reviews were decent and i liked that it has an “arm” to hold the paper.
So, i put it to the test (see video) Here are my conclusions:
1) Solid built and weighted at the bottom + rubber to prevent the holder from moving around while pulling the paper 👍🏼
2) out of five trials at pulling the paper, i only had one fail (see video) which is still a better ratio than with my wall holder. 👍🏼
3) There are probably cheaper holders on the market, but most of them are not stable and require two hands to pull paper. This one is easy of use with only one hand which is useful while cooking.
4) i like that this holder comes in different colors, to match the kitchen decoration.
5) The hook at the top of the holder is convenient to carry the holder out of the kitchen, to the dining table for example.
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Reviewed in the United States on March 23, 2026
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