Nonconvex polyhedra by repeated truncation of semiregular polyhedra

作者：Balaban Alexandru T^*

来源：Journal of Mathematical Chemistry, 2010, 47(3): 1177-1183.

DOI：10.1007/s10910-009-9613-6

• Semiregular (Archimedean) polyhedra
• Truncation
• Nonconvex

Some of the semiregular (Archimedean) polyhedra (1-13 in Table 1) afford on truncation polyhedra that contain vertices where the sum of planar degrees for the faces which meet at those vertices is equal to (for 17, 18, and 23 in Table 3) or higher than 360A degrees (21, 22, 24-26 in Table 3). Therefore such polyhedra are nonconvex.

• 出版日期2010-4