Press Release 133/2010

Thinking Tools Modeled on Nature

Shear Quadrangles, Tension Triangles, and Force Cones – Introduction to Geometrical Natural Science
Die Titelseite des Buches „Denkwerkzeuge nach der Natur“. (Foto: KIT)
Title page of the book “Denkwerkzeuge nach der Natur” (thinking tools modeled on nature). (Photo: KIT)

A cliff line, the foot of a tree, a mammalian bone, washed-out areas of an iceberg, or the tree top sheared by wind can be described by the same contour as a torn-off scrap of paper. Three generally understandable thinking tools, shear quadran-gles, tension triangles, and force cones, are sufficient to analyze structures in nature and engineering without the use of a computer and to prevent component damage by simple shape optimization. The new book “Denkwerkzeuge nach der Natur” (thinking tools modeled on nature) by Claus Mattheck presents these thinking tools in an understandable manner and provides an introduction to “geometrical natural science.”

Who would have expected that the contour of a cliff line, the foot of a tree, a mammalian bone, washed-out areas of an iceberg or the tree top sheared by the wind can be described by the same contour as a torn-off scrap of paper? Who would have imagined that the rump of a water beetle fits exactly into a scaled-down crutch?

“The secret of these common geometrical features lies in a universal shape that occurs in nature over and over again,” explains Professor Dr. Claus Mattheck, Head of the Biomechanics Division of the Institute for Materials Research of Karlsruhe Institute of Technology (KIT). “It is exciting that this shape can be constructed with simple geometrical methods and applied immediately.”

The KIT Biomechanics Division developed three related thinking tools – shear quadrangles, tension triangles, and force cones – that allow for an analysis of mechanical structures in nature and engi-neering without any computer and, hence, prevent component dam-age by simple shape optimization.

A screw thread having this universal shape has a much longer de-fect-free service life. Industry already uses Matthecks universal shapes to optimize components within seconds by a CAD mouse click, whereas computer methods developed earlier by the team of Claus Mattheck needed several hours or even days. In tree hus-bandry and diagnosis, this universal shape explains the safety be-havior of trees in a way that was unimaginable in the past. The new thinking tools also help to identify the causes of damage. An angular crack in the corner of a room immediately tells which wall subsides relatively to the other. The new method can also be used in bone surgery and orthopedics. The universal shape can be found in many bone contours.

The new book “Denkwerkzeuge nach der Natur” (thinking tools modeled on nature) by Professor Dr. Claus Mattheck presents these thinking tools in an understandable manner and provides an intro-duction to a “geometrical natural science” demonstrating common geometrical features in their natural variety. As this new instruction book for thinking on the basis of nature does not contain any formulas and mechanics is conveyed by means of language and Mattheck’s characteristic science cartoons only, everybody, the pupil, arborist or craftsman, the architect and designer, the development engineer, physician, and the professor, is addressed.

The book (236 pages, ISBN 978-3-923704-73-6) by Claus Mattheck, Karlsruhe Institute of Technology, has just been published and may be purchased from the Buchhandlung Hoser & Mende KG, Karlsruhe (phone: +49 721 981610, fax: +49 721 815343, E-mail:mende does-not-exist.schweitzer-online de) or from www.fabibook.de at a price of EUR 35.

Representatives of the media may contact Inge Arnold (phone: +49 7247 82-2861, E-mail:inge arnold does-not-exist.kit edu) for a reviewer’s copy.

 

Being “The Research University in the Helmholtz Association”, KIT creates and imparts knowledge for the society and the environment. It is the objective to make significant contributions to the global challenges in the fields of energy, mobility, and information. For this, about 10,000 employees cooperate in a broad range of disciplines in natural sciences, engineering sciences, economics, and the humanities and social sciences. KIT prepares its 22,800 students for responsible tasks in society, industry, and science by offering research-based study programs. Innovation efforts at KIT build a bridge between important scientific findings and their application for the benefit of society, economic prosperity, and the preservation of our natural basis of life. KIT is one of the German universities of excellence.

jh, 02.11.2010
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Inge Arnold
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Phone: +49 721 608-22861
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The press release is available as a PDF file.