Abstract
For a compact right-angled polyhedron R in Lobachevskii space ℍ3, let vol(R) denote its volume and vert(R), the number of its vertices. Upper and lower bounds for vol(R) were recently obtained by Atkinson in terms of vert(R). In constructing a two-parameter family of polyhedra, we show that the asymptotic upper bound 5v 3/8, where v 3 is the volume of the ideal regular tetrahedron in ℍ3, is a double limit point for the ratios vol(R)/ vert(R). Moreover, we improve the lower bound in the case vert(R) ≤ 56.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
