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024 7 $a10.1007/978-3-662-68931-8
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035   $a(Au-PeEL)EBL31342490
035   $a(DE-He213)978-3-662-68931-8
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100   $a20240514d2024      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSpirals, Helical Lines, and Spiral-Like Figures $eMathematical Playfulness in Two and Three Dimensions /$fby Hans Walser
205   $a1st ed. 2024.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2024.
215   $a1 online resource (157 pages)
311 08$a3-662-68930-8 
327   $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.
330   $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.
606   $aGeometry
606   $aMathematics
606   $aGeometry
606   $aMathematics in Popular Science
606   $aGeneral Mathematics and Education
606   $aEspirals$2thub
606   $aGeometria$2thub
608   $aLlibres electrònics$2thub
615  0$aGeometry.
615  0$aMathematics.
615 14$aGeometry.
615 24$aMathematics in Popular Science.
615 24$aGeneral Mathematics and Education.
615  7$aEspirals
615  7$aGeometria
676   $a516
700   $aWalser$b Hans$0531816
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910857781903321
996   $aSpirals, Helical Lines, and Spiral-Like Figures$94161669
997   $aUNINA