标题： 通过折纸构造相似立方体和相似十二面体 显示英文标题

标题： Constructing the Cubus simus and the Dodecaedron simum via paper folding

摘要： 阿基米德立体小立方体（截断立方体）和小十二面体（截断十二面体）无法通过直尺和圆规构造。 我们解释由于一般原因，它们的顶点可以通过在立方体的面上折叠纸张来构造，分别在立方体和十二面体上，我们展示了具体的折叠构造方法。 小立方体的构造尤其优雅。 我们还回顾并证明了其他阿基米德立体的构造规则。 显示英文摘要

摘要： The archimedean solids Cubus simus (snub cube) and Dodecaedron simum (snub dodecahedron) cannot be constructed by ruler and compass. We explain that for general reasons their vertices can be constructed via paper folding on the faces of a cube, respectively dodecahedron, and we present explicit folding constructions. The construction of the Cubus simus is particularly elegant. We also review and prove the construction rules of the other Archimedean solids.