在几何学中,角锥反角柱又称为棱锥反角柱(英语:Gyroelongated pyramid),是指一系列的多面体,由一个锥体与一个反柱体底面叠在一起所形成的几何体。
若一个角锥反角柱的底面为正多边形则可以称为正角锥反角柱,在正角锥反角柱中,有包含二种詹森多面体。
正角锥反角柱
若考虑一个正角锥反角柱,若每一个面皆为正多边形则可以归类为詹森多面体,但前提是每个面皆位于相异的平面上,不得出现共面的情形,如三角锥反角柱和六角锥反角柱皆有面是共面的,因此不属于詹森多面体。
参见
参考文献
- Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, 18, 1966, pages 169–200. Contains the original enumeration of the 92 solids and the conjecture that there are no others.
- Victor A. Zalgaller. Convex Polyhedra with Regular Faces. Consultants Bureau. 1969. No ISBN. The first proof that there are only 92 Johnson solids.
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