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math.DG2023
A view-parametric extension of the d'Ocagne formula for a surface in
Ken Anjyo, Yutaro Kabata
In this paper, we consider the orthogonal projection of a surface in for a given view direction. We then introduce and investigate several invariants of the families…
cond-mat.mtrl-sci2023★ 1 cited
A novel symmetry in nanocarbons: pre-constant discrete principal curvature structure
Yutaro Kabata, Shigeki Matsutani, Yusuke Noda +2
Since the first-principles calculations in quantum chemistry precisely provide possible configurations of carbon atoms in nanocarbons, we have analyzed the geometrical structure of…
math.DG2023
On discrete constant principal curvature surfaces
Y. Kabata, S. Matsutani, Y. Ogata
Recently, it is discovered that a certain class of nanocarbon materials has geometrical properties related to the discrete geometry, pre-constant discrete principal curvature [9] b…