The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings

By Birkett Huber, Jörg Rambau, Francisco Santos. 2000

113 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/52e91fb68f3663454737f1a54876f0e618745f85

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Alexander Postnikov
2. Hans Raj Tiwary

In Computer Graphics and Computer-Aided Design

1. Alexander Postnikov
2. Hans Raj Tiwary
3. Tom Diethe
4. Jeremias Knoblauch
5. Hisham Husain

In Geometry and Topology

1. Alexander Postnikov
2. Hans Raj Tiwary
3. Benjamin Nill
4. Lauren K. Williams
5. David E. Speyer
6. Thomas Lam
7. Dan Xie
8. Greg Muller

Citations in the corpus

• The Cayley Trick and Triangulations of Products of Simplices (2003, unknown): “Our treatment of mixed subdivision is formally different, but equivalent to, the one in [10].”
• Multiples of lattice polytopes without interior lattice points (2006, background): “Main theorem on lattice polytopes of degree 1 The following definition is inspired by the notion Lawrence polytope (see [5]): Definition 2.”
• Permutohedra, Associahedra, and Beyond (2005, methodology): “[19, 39] For any choice of parameters y1, .”
• On the Hardness of Computing Intersection, Union and Minkowski Sum of Polytopes (2008, background): “The Cayley trick ([11, 14]) allows us to represent the Minkowski sum P1 + P2 of two polytopes as the intersection of a (d + 1)-polytope with a hyperplane.”