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Description
The Fibonacci Resonance and other new Golden Ratio discoveries: Maths, music, archaeology, architecture, art, quasicrystals, metamaterials, ...A new and definitive reference for the Fibonacci numbers and the Golden Ratio. With Mondrian, Seurat, Toulouse Lautrec, Tiwanaku, The Great Pyramid, Le Corbusier, Kepler, Penrose, quasicrystals, Pendry, green energy, and the latest light based technologies, this maths and science book is written to be enjoyed. Explore Bohemian Paris the capital of phi in fresh analyses of art, architecture, and music. Lavishly illustrated, this book includes: the
A new and definitive reference for the Fibonacci numbers and the Golden Ratio. With Mondrian, Seurat, Toulouse-Lautrec, Tiwanaku, The Great Pyramid, Le Corbusier, Kepler, Penrose, quasicrystals, Pendry, green energy, and the latest light-based technologies, this maths and science book is written to be enjoyed. Explore Bohemian Paris - the capital of phi - in fresh analyses of art, architecture, and music. Lavishly illustrated, this book includes: the history of Fibonacci and Lucas numbers, spirals, sunflowers, pine cones, megaliths, and ornamental tilings. The Fibonacci Resonance discovery is revealed step by step from unique beginnings to abacus-bead visualizations. Comparisons are made with Silver Ratio Pell numbers, and a link is shown to perfect numbers and record-breaking Mersenne primes.Binding Type: Hardcover
Publisher: Onperson International Ltd.
Published: 10/31/2015
ISBN: 9780993216602
Pages: 638
Weight: 2.24lbs
Size: 9.02h x 5.98w x 1.38d
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4.1 ★★★★★
Based on 23 reviews
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Product Reviews
★★★★★ 5
My dogs favorite!
My dogs love these! They will play all day if you'd let them, these balls are their favorites. I use the chuck-it handle and they get tons of exercise in the big yard!
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Reviewed in the United States on April 22, 2026
★★★★★ 5
The Dog LOVES IT!
I bought this for my ex-wife's Pitbull. He is an aggressive chewer and usually destroys any toy I buy him. But not this one! The ball is small enough and pliable that it gives when he chomps on it. He loves this ball and seems to be his favorite toy. Thank you for making a product that he likes and can't destroy!
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Reviewed in the United States on December 30, 2024
★★★★★ 5
My Golden Retriever’s favorite
We’ve owned lots of toys and balls. This specific version (in blue) has been her absolute favorite. She’s about 72lbs and chews on this thing regularly with no visible damage. We actually own about 6 of them because they have a tendency to go missing underneath furniture and in the yard. We have two of the orange colored ones but she doesn’t like those nearly as much which I assume is because the blue is easier to see in the grass.
Other than that…They bounce really well and also whistle a little when you throw them hard enough. I hope they never stop making these.
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Reviewed in the United States on October 6, 2024
★★★★★ 4
doesn't whistle as loud as other chuckit balls I've seen, but a good ball.
makes some noise, but I've seen (and played with) others at the dog park that whistle much louder than the 1 I got. all Chuckit balls... so, just this one I'm betting.
but it flys good and the dog loves to chase it.
he chews it a fair bit as well and the ball has not taken much damage from him (lab mix) or others that have had a go at it.
I'll likely buy another at some point ... just wish it was a little louder when flying.
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Reviewed in the United States on November 4, 2025
★★★★★ 5
Blue ball, my dog likes blue.
Just a ball right? Evidently not! My dog won’t chase an orange chuck it ball or the glow in the dark ball- only the blue one 🤷🏼♀️
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Reviewed in the United States on May 9, 2025