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The Visual Language of Technique pp 71–84Cite as

Descriptive Geometry—Vision Guided Spatial Reasoning

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Abstract

This is a pleading for Descriptive Geometry, a subject of basic importance for any engineering education. From the very first, Descriptive Geometry has been a method to study 3D geometry through 2D images thus offering insight into structure and metrical properties of spatial objects, processes and principles. The education in Descriptive Geometry provides a training of the students’ intellectual capability of space perception. Drawings are the guide to geometry but not the main aim.

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Notes

  1. 1.

    It is said that Felix Klein once stated: “Among all mathematicians, geometers have the advantage to see what they are studying.”

  2. 2.

    This textbook has been translated into Spanish, Croatian, Japanese and Chinese.

  3. 3.

    More strictly, it should be called first rhombic dodecahedron. Due to Bilinski [3] there is a second one: In this case the dihedral angle is 144°. This polyhedron is obtained from the triacontahedron, the dual of the icosidodecahedron, by removing two prismatic zones and bringing the remaining pieces together. The author is grateful to H. Martini for pointing his attention to this fact.

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Authors and Affiliations

  1. Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Vienna, Austria

    Hellmuth Stachel

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  1. Hellmuth Stachel
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Correspondence to Hellmuth Stachel .

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Editors and Affiliations

  1. Architecture and Urban Studies Campus Leonardo - Building La Nave, Politecnico di Milano, Milano, Milano, Italy

    Luigi Cocchiarella

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Stachel, H. (2015). Descriptive Geometry—Vision Guided Spatial Reasoning. In: Cocchiarella, L. (eds) The Visual Language of Technique. Springer, Cham. https://doi.org/10.1007/978-3-319-05350-9_7

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