03045nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001600167072002300183072001500206100007500221245015000296250001800446264008200464300006600546336002600612337002600638338003600664347002400700505023600724520137700960650001402337650001702351650001402368650003602382650003902418710003402457773002602491776003602517776003602553856004602589978-3-662-68931-8DE-He21320251030112042.0cr nn 008mamaa240514s2024    gw |    s    |||| 0|eng d  a97836626893187 a10.1007/978-3-662-68931-82doi 4aQA440-699 7aPBM2bicssc 7aMAT0120002bisacsh 7aPBM2thema1 aWalser, Hans.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aSpirals, Helical Lines, and Spiral-Like Figuresh[electronic resource] :bMathematical Playfulness in Two and Three Dimensions /cby Hans Walser.  a1st ed. 2024. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg :bImprint: Springer,c2024.  aIX, 151 p. 255 illus., 242 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 a1 Introduction -- 2 The logarithmic spiral -- 3 The Archimedean spiral -- 4 Screws -- 5 Angular logarithmic spirals -- 6 Angular Archimedean spirals -- 7 Curvature -- 8 Golden spirals -- 9 Optical illusions -- 10 Spherical spirals.  aIn this book you will discover the mathematical patterns and regularities of various spirals, helixes and spiral-like figures. Their geometric aspects and connections are presented in a visually appealing way and are supplemented as best as possible with analytical aspects and representations. Using examples from technology and nature, you will learn about round, square, golden and spherical spirals and examine their curvature behavior and other exciting properties. The examples are arranged thematically and the book has a modular structure so that the individual chapters can be read largely independently of each other. It is therefore a valuable resource for students, pupils, (prospective) teachers, those interested in mathematics and those who want to become one. Additional animations are available with the SN More Media app: simply download the SN More Media app free of charge, scan an image or a link with the play button and immediately play the animation on your smartphone or tablet. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content. The Author Dr. Hans Walser was a high school teacher and lecturer at the ETH Zurich, the University of Basel and the Basel University of Education in the areas of teacher training and mathematics for natural and engineering students. 0aGeometry. 0aMathematics.14aGeometry.24aMathematics in Popular Science.24aGeneral Mathematics and Education.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978366268930108iPrinted edition:z978366268932540uhttps://doi.org/10.1007/978-3-662-68931-8