Titlebook: Discrete and Computational Geometry; Japanese Conference, Jin Akiyama,Mikio Kano,Masatsugu Urabe Conference proceedings 2000 Springer-Verla

最高峰

Lobotomy

背书

Musculoskeletal

Living with ,yhedra. We describe an important and difficult class of polyhedra, called configuration polytopes, that have application to determining the ground states of alloy phase diagrams. Experience gained while trying to solve these problems lead to a number of improvements to the original implementation.

Commodious

On the Existente of a Point Subset with 4 or 5 Interior Points.) be the smallest integer such that every set of points in the plane, no three collinear, containing at least .(.) interior points has a subset of points containing . or . + 1 interior points. We proved that .(3) =3 in an earlier paper. In this paper we prove that .(4) = 7.

REIGN

Folding and Cutting Paperf cuts. The folds are based on the straight skeleton, which lines up the desired edges by folding along various bisectors; and a collection of perpendiculars that make the crease pattern foldable. We prove that the crease pattern is flat foldable by demonstrating a family of folded states with the desired properties.

手铐

2-Dimension Ham Sandwich Theorem for Partitioning into Three Convex Piecesllinear, |..| = ., and |..| = .. This paper shows that Kaneko and Kano’s conjecture is true, i.e., .. ∪ .. can be partitioned into . subsets ..,..,...,.. satisfying that: (i) conv(..) ∩ conv(..) = ∅ for all 1 ≤ . < . ≤ .; (ii) |.. ∩ ..|= . and |.. ∩ ..| = . for all 1 ≤ . ≤ .. This is a generalization of 2-dimension Ham Sandwich Theorem.

JIBE

Tortuous

Hearten

Jin Akiyama,Mikio Kano,Masatsugu UrabeIncludes supplementary material: