Helmut Pottmann works on applied and discrete geometry, computational design and geometric methods for architecture and manufacturing. His KAUST research profile identifies this connection between mathematical structure and practical construction.[ref]
His joint work with Alexander I. Bobenko, Carl O. R. Lutz and Jan Techter studies Laguerre geometry and incircular nets. Such nets organize quadrilaterals with inscribed circles, connecting exact tangency constraints with discrete surface geometry.[ref]
Laguerre geometry in space forms and incircular nets by Alexander I. Bobenko and others. Abstract and checkerboard-net development
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