| Description |
1 online resource (376 pages) : color illustrations. |
| Series |
Edition Angewandte, 1866-248X |
|
Edition Die Angewandte, University Press.
|
| Note |
Online resource; title from PDF title page (ebrary, viewed April 12, 2014). |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Preface; Preface; Maths and nature photography; 1 Mathematical interplay; Zebra stripes and number codes; How a number becomes a zebra; The chicken and the egg; The tortoise paradox; Discerning information from photos; Repeatability of experiments; Reproduction of water lilies; Transitivity and combinatorics; Cameras and hand luggage; Beyond the limits of microscopy; Endless loops; Mathematical crochet work; Ispiration through fascination; 2 The mathematical point of view; Remarkably similar; Associations; Similar, but not by accident; Iterative shape approximation; Rhombic zones. |
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Nets of skew rhombusesOblique parallel projections; Fibonacci and growth; Different scales; The volume of a wine barrel; Three simple rules; 3 Stereopsis or spatial vision; Depth perception; Two projections in one image; Compound eyes; Distance tables; Lens eyes; Eyes with mirror optics; Using antennae for accuracy; Intersecting the viewing rays; Natural impressions; Photo stitching; Impossibles; Cuboid or truncated pyramid?; 4 Astronomical vision; Sunset; Solar eclipse; When the sun is very low; Fata Morgana; The scarab and the sun; The law of Right Angles; The beginning of spring. |
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The "wrong" tilt of the moonThe sun at the zenith; Central american pyramids; The arctic circle; The southern sky; 5 Helical and spiral motion; Helicoid; Thrust or lift?; The spiral; Of king snails and king worms; Exponential growth; Helispirals; From formulas to animal horns; Millipedes and pipe surfaces; Scope of intelligence; 6 Special curves; The catenary; Invariance under central projection; The parabola; Knots; Contours with cusps; Geodesic gifts; 7 Special surfaces; The sphere; The sphere's silhouette; Approximating curved surfaces; Flexible and versatile; Development; Puristic beauty. |
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Stable and simple constructionMinimized surface tension; Minimal surfaces; Soap bubbles; 8 Reflection and refraction; The spherical refl ection; Il Carnevale & geometry; Mirror symmetry; The planar refl ection; Starfi sh and radial symmetry; The pentaprism; The billiard effect; Sound absorption; The optical prism; Rainbow theory; At the foot of the rainbow; Above the clouds; Spectral colours underwater; Colour pigments or iridescence?; Fish-eye perspective; Snell's window; Total refl ection and image raising; A fi sh-eye roundtrip; 9 Distribution problems; Even distribution on surfaces. |
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Distribution of dewContact problems; A platonic solution; Spiky equal distribution; Elastic surfaces; Quite dangerous; Pressure distribution; Fluctuations of weight; Kissing numbers; 10 Simple physical phenomena; Newton's laws of motion; Jet propulsion and suction; Selective light absorption; Relative velocities; The aerodynamical paradox; Flying in formation; Form follows function; Offspring on parachutes; The fastest track; Manoeuvering through curves; Mathematics and bees; Interferences; Doppler effect and the Mach cone; Sonic waves on strange paths; Acceleration vs. constant speed. |
| Summary |
The book offers 180 pages of spectacular photos and unusual views and insights. Learn to see the world with different eyes and be prepared for many surprises and new facts. The photos give rise to questions that are carefully explained with mathematics. |
| Subject |
Nature photography.
|
|
Mathematics in nature -- Pictorial works.
|
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PHOTOGRAPHY -- General.
|
|
Mathematics in nature. (OCoLC)fst01012332
|
|
Nature photography. (OCoLC)fst01034687
|
| Genre/Form |
Pictorial works. (OCoLC)fst01423874
|
| Other Form: |
Print version: 9783990436240 |
|
Print version: (GyWOH)har145003177 |
|
Print version: 9783990436257 |
|
Print version: (GyWOH)har145003178 |
|
Print version: 9783990436158 3990436155 |
| ISBN |
9783990436240 (electronic bk.) |
|
3990436244 (electronic bk.) |
