SKU: 651010511

Mathematics in Architecture, Art, Nature, and Beyond

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Description

Mathematics in Architecture, Art, Nature, and BeyondThere is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond. The first two chapters of this

There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.

 

The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.

 

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SKU: 651010511

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4.8 ★★★★★
Based on 26 reviews
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Ronda S
New York, US
★★★★★ 5
Chuck It Balls!! Best Loved Fetch ball by my Dog!!
Size: Large (Pack of 1), Color: Multi, Size: Large (Pack of 1), Color: Multi
Chuck It large Whistle balls, Absolutely love these great rubber balls, I think there is at least 20-25 balls all over my house, yard and in my boys toy box. At least one is trapped until fall on our ravine hill side, they do bounce high and off his snout for more travel time.!! (Over the fence and into ravine) I subscribe and save getting usually 1 or 2 a month, Really… makes it easy to find one, when they are everywhere!!😜 They are usually blue in color, once in awhile I get an orange one (which I prefer, easier to find in the grass/bushes) These do have a light whistle sound when throwing and my dog will change direction hearing where they are headed. These balls are very durable and last a very very long time. Actually I don’t think one has worn out.. lost yes…. Definitely get the large size, perfect for a med to large dog to play fetch forever!!
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Reviewed in the United States on August 15, 2025
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Verified Purchase
coach
Waukegan, US
★★★★★ 5
Love this ball!
Size: Large (Pack of 1), Color: Multi
My doberman and her dog friends love this large high bounce rubber fetch ball! She loves to chew it endlessly between throws and her Rottweiler buddy loves to do the same because it has a hole through it. I definitely recommend the large 3 inch ball for larger dogs.
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Reviewed in the United States on November 15, 2025
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Verified Purchase
Michael Murrell
San Leandro, US
★★★★★ 4
The orange ones are perfect!
Size: Medium (Pack of 2), Color: Assorted
I wish I could give 4 1/2 stars but it isn't possible. The reason why I don't give 5 stars is because no one sells these in a 2 pack of just orange balls. I was able to find blue only but not orange only. I have a pitbull and so does my good friend. We take our dogs out all the time and they absolutely love chasing these balls.... The orange ones to be exact. They will not play with or bring the blue balls back. They are a waste. I had to buy 2 packs to keep the oranges. I'm taking the blue ones to the local dog park and just dropping them off. Now to the reason these balls deserve 5 stars: They are super easy to throw and they also make a slight whistling noise when you throw them because of the holes. They are real easy to wash due to the material. Also, they are pretty indestructible. The only reason I'm ordering more is due to them being lost. Our dogs have never torn them apart. I'm sure they could if we let them, but we use these for chase, not as chew toys. My friend also tied a rope through one of the balls to throw and retrieve with the rope. He uses this as a fun indoor toy. These do not float in water but I buy other chuckit balls for that purpose. They have the orange balls with the blue stripe which work great in pools. The balls are awesome and I keep coming back for more. Hopefully your dogs like the blue balls.
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Reviewed in the United States on December 8, 2015
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Verified Purchase
Auskan
West Palm Beach, US
★★★★★ 5
Worth the money
Size: Medium (Pack of 2), Color: Assorted
I've had several sizes of Chuck-It ball launchers for years but had resisted buying the balls to go with them because I had about 50 tennis balls already that cost only pennies apiece and these were quite a bit more expensive. But, I got tired of the dogs chewing up the tennis balls. I'd start a ball throwing session with a brand new ball and for the first few throws it would sail through the air and the dogs would have to work to retrieve it. However on the way back, their jaws would work it, chomp-chomp-chomp. And when they returned to me, they'd want to stand there and chomp some more, despite my command to "Drop it!" Within 30 minutes, the brand new ball would have a hole in it and then instead of sailing several football fields through the air, then bouncing over a couple of trees, I'd throw it and it would piddle unenthusiastically to the end of the driveway before falling to the ground with a sulky thud, not even bothering to bounce. So - I finally grew tired of going through a ball every time I play with the dogs - which is everyday - and ordered these chuck-it balls. They are the same size as a tennis ball but made of a rubber-like material (not silicone) and after several months of use, have no wear and tear on them at all. The dogs can exercise their gums on them all the way back to me - throw after throw - and the ball still flies the same distance each time, and bounces satisfyingly upon contact with the ground. The description says "colors may vary" but the first packet I ordered were blue and orange as pictured. Unfortunately my dog lost the orange one the first time we used it. She got thirsty and ran down to our pond for a drink, dropped the ball in the pond and it hasn't been seen since. It is dense enough it doesn't float as a tennis ball might, and by now is probably so covered in mud and slime that I wouldn't recognize it if I tripped over it. Lesson learned: we don't throw the ball in the pond pasture any more. After losing the orange ball, I ordered a second packet of the balls so that I would always have a spare. The second packet is also blue and orange. So while colors may vary, in my experience so far, they haven't (which doesn't matter to me or the dogs).
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Reviewed in the United States on March 1, 2015
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Verified Purchase
Dawn T Conway
Carnegie, US
★★★★★ 5
Super Chewer Friendly!!
Size: Large (Pack of 1), Color: Multi
This ball is perfect for the super Chewer!! It is squishy and durable rubber that stands up to the aggressive chewer. It does not squeak. It has great bounce and is a great toy for fetch. Very cute to watching my pup bring the ball back for another throw. The rubber doesn't stick or have an average powering smell. It smells just like a rubber ball. It is highly functional for a great game of fetch! Highly recommend and very happy with our purchase. It is well worth the price. We will be ordering more.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 20, 2025

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