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math.DG2023★ 6 cited
Surfaces of constant principal-curvatures ratio in isotropic geometry
Khusrav Yorov, Mikhail Skopenkov, Helmut Pottmann
We study surfaces with a constant ratio of principal curvatures in Euclidean and simply isotropic geometries and characterize rotational, channel, ruled, helical, and translational…
math.AG2023★ 6 cited
Flexible Kokotsakis Meshes with Skew Faces: Generalization of the Orthodiagonal Involutive Type
Alisher Aikyn, Yang Liu, Dmitry A. Lyakhov +3
In this paper, we introduce and study a remarkable class of mechanisms formed by a arrangement of rigid quadrilateral faces with revolute joints at the common edges. I…