Ball numbers of platonic bodies

作者：Richter Wolf Dieter^*; Schicker Kay

来源：Journal of Mathematical Analysis and Applications, 2014, 416(2): 783-799.

DOI：10.1016/j.jmaa.2014.03.007

• Platonically generalized radius
• Platonically generalized surface content
• Disintegration of Lebesgue measure
• Intersection percentage function
• Generalized method of indivisibles
• Platonically generalized uniform distribution

The ball number function is extended here to platonic bodies and corresponding generalized uniform distributions on platonic spheres are considered. A platonic disintegration formula of the Lebesgue measure is proved as well as a thin layers property.

• 出版日期2014-8-15