Scientific Kite Flying

The Symplectic Penrose Kite

The purpose of this article is to view the Penrose kite from the perspective of symplectic geometry. Mathematics Subject Classification 2000. Primary: 53D20 Secondary: 52C23 Introduction The kite in a Penrose aperiodic tiling by kite and darts [8, 9] is an example of a simple convex polytope. By the Atiyah, Guillemin–Sternberg convexity theorem [1, 6], convex polytopes that are rational can be ...

Octagon kite systems

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Abstract The spectrum of octagon kite system (OKS) which is nesting strongly balanced 4-kite-designs is determined.

Hinged Kite Mirror Dissection

Any two polygons of equal area can be partitioned into congruent sets of polygonal pieces, and in many cases one can connect the pieces by flexible hinges while still allowing the connected set to form both polygons. However it is open whether such a hinged dissection always exists. We solve a special case of this problem, by showing that any asymmetric polygon always has a hinged dissection to...

Kite-freeP- andQ-polynomial schemes

Let d denote a non-negative integer. A symmetric, d-class association scheme (or simply a scheme) is a configuration Y = (X, Ri0≤i≤d), where X is a nonempty set and R0, R1, · · · , Rd are non-empty subsets of the Cartesian product X ×X, possessing the following properties. (i) (x, y) ∈ R0 if and only if x = y (x, y ∈ X). (ii) (x, y) ∈ Ri for exactly one i (0 ≤ i ≤ d), (x, y ∈ X). (iii) R i = Ri...

Let's Go Fly a Kite.