Martin Josefsson [1] has coined the term ‘bisect-diagonal quadrilateral’ for a quadrilateral with at least one diagonal bisected by other diagonal, and extensively explored some of its properties. This also been called ‘bisecting [2], ‘sloping-kite’ or ‘sliding-kite’ [3], ‘slant kite’ [4]. The purpose this paper is to explore more properties quadrilateral.

1 Preface Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B.H. Neumann introduced outer billiards in the 1950s, and J. Moser popularized outer billiards in the 1970s as a toy model for celestial mechanics. Outer billiards is an appealing dynamical system because of its simplicity and also because of its connection to such topics as interval exchange ...

1 Preface Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B.H. Neumann introduced outer billiards in the 1950s, and J. Moser popularized outer billiards in the 1970s as a toy model for celestial mechanics. Outer billiards is an appealing dynamical system because of its simplicity and also because of its connection to such topics as interval exchange ...

Although hand injuries due to kite strings seem to be trivial, these injuries could be serious enough to lose the function of hand. This case series in the division of Plastic and Reconstructive Surgery of our institution from August 2014 to January 2016 evaluated the clinic-etiological profile, severity and management of hand injuries due to kite strings assessed clinically and radiologica...

Continuing arguments presented [1] or announced [2][3] here, zero-divisor (ZD) foundations for “scale-free” networks are “decentralized”: cowbird’s nests, one “exploded” from each box-kite, house copies of the (ZD-free) Octonions the recursive basis for all ZD ensembles, making nests potential waystations for alien-ensemble “infiltrators.” ZD “representations” of Catastrophe Theory unfoldings e...

Taxonomic uncertainties within the genus Chondrohierax stem from the high degree of variation in bill size and plumage coloration throughout the geographic range of the single recognized species, hook-billed kite Chondrohierax uncinatus. These uncertainties impede conservation efforts as local populations have declined throughout much of its geographic range from the Neotropics in Central Ameri...

This article presents a kite control and optimization problem intended as a benchmark problem for advanced control and optimization. We provide an entry point to this exciting renewable energy system for researchers in control and optimization methods looking for a realistic test bench, and/or a useful application case for their theory. The benchmark problem in this paper can be studied in simu...

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...