Designing Patterns using Triangle-Quad Hybrid Meshes

Chi-Han Peng, Helmut Pottmann, Peter Wonka



A framework to generate mesh patterns that consist of a hybrid of both triangles and quads is presented. Given a 3D surface, the generated patterns fit the surface boundaries and curvatures. Such regular and near regular trianglequad hybrid meshes provide two key advantages: first, novel-looking polygonal patterns achieved by mixing different arrangements of triangles and quads together; second, a finer discretization of angle deficits than utilizing triangles or quads alone. Users have controls over the generated patterns in global and local levels. Demonstrated are applications of the approach in architectural geometry and pattern design on surfaces.


  • Chi-Han Peng, Helmut Pottmann, and Peter Wonka.
    Designing patterns using triangle-quad hybrid meshes.
    ACM Trans. Graphics, 37(4):14, 2018. Proc. SIGGRAPH.

Chi-Han Peng   +

Prof. Dr. Helmut Pottmann   +

Projects: C01
University: TU Wien
E-Mail: pottmann[at]
University: King Abdullah University of Science and Technology
E-Mail: helmut.pottmann[at]

Prof. Peter Wonka   +