在 几何学中, 截对角三方偏方面体是截对角偏方面体这一系列的多面体中的第一个。它有六个五边形,两个三角形。
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此多面体可透过将一个立方体,或是三方偏方面体,或是一个菱面体,或一个平行六面体中一对处于对角位置的顶点切除,在立方体或著三方偏方面体的例子中,由于截面是平行的,以及原像的高度对称,因此具有高度的旋转对称。
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Schröder, E., Dürer, Kunst und Geometrie, Dürers künstlerisches Schaffen aus der Sicht seiner "Underweysung", Basel, 1980. As cited by Weitzel (2004).
Lynch, Terence, The geometric body in Dürer's engraving Melencolia I, Journal of the Warburg and Courtauld Institutes (The Warburg Institute), 1982, 45: 226–232, JSTOR 750979, doi:10.2307/750979
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Schreiber, Peter, A new hypothesis on Dürer's enigmatic polyhedron in his copper engraving "Melencolia I", Historia Mathematica, 1999, 26: 369–377, doi:10.1006/hmat.1999.2245.
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- Weitzel, Hans, A further hypothesis on the polyhedron of A. Dürer's engraving Melencolia I, Historia Mathematica, 2004, 31 (1): 11–14, doi:10.1016/S0315-0860(03)00029-6.
- Hideko, Ishizu, Another solution to the polyhedron in Dürer's Melencolia: A visual demonstration of the Delian problem (PDF), Aesthetics (The Japanese Society for Aesthetics), 2009, 13: 179–194 [2017-02-23], (原始内容存档 (PDF)于2018-02-19).
- Ziegler, Günter M., Dürer's polyhedron: 5 theories that explain Melencolia's crazy cube, Alex Bellos's Adventures in Numberland, The Guardian, December 3, 2014 [2017-02-23], (原始内容存档于2020-11-11).