43 citations · 154 across the 11 of their papers we have counts for
12 papers
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…
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…
UrbanFlow: Designing Comfortable Outdoor Areas
Daoming Liu, Florian Rist, Helmut Pottmann +1
Design decisions in urban planning have to be made with particular carefulness as the resulting constraints are binding for the whole architectural design that follows. In this con…
Computational Design of Cold Bent Glass Façades
Konstantinos Gavriil, Ruslan Guseinov, Jesús Pérez +5
Cold bent glass is a promising and cost-efficient method for realizing doubly curved glass façades. They are produced by attaching planar glass sheets to curved frames and require…
Non-Euclidean Laguerre geometry and incircular nets
Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann +1
Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized…
Characterizing envelopes of moving rotational cones and applications in CNC machining
Mikhail Skopenkov, Pengbo Bo, Michael Bartoň +1
Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a one-parametric family of congruent rotational cones. As limit cases,…