Year: 2026
Type: preprint
Abstract: Hajja, Hammoudeh, Hayajneh and Martini showed that a tetrahedron whose cevians to the circumcenters of the opposite faces are concurrent is either a kite or a special jaw. We determine the exact dihedral-angle-sum range on the jaw component. The lower endpoint is attained only by the regular tetrahedron, while the upper endpoint is approached only in the degenerate limit. The proof reduces the family to one scale-invariant parameter and an explicit monotonicity argument.
Source: arXiv (Cornell University)
Author: Korotov, Sergey
Institution: Mälardalen University
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223877342