A construction is given for a planar rational Pythagorean hodograph spiral which interpolates any two-point G Hermite data that a spiral can match. When the curvature at one of the points is zero, the construction gives the unique interpolant that is the involute of a rational Pythagorean hodograph curve of the form cubic over linear. Otherwise, the spiral comprises an involute of a Tschirnhaus...

A scroll compressor concept is presented which has a very unique method of eliminating the inherent overturning or tipping moment associated with conventional orbiting scrolls. This design is a high~side compressor with axial compliance. An innovative gas discharge path from the involute effectively reduces the height of the assembly. A special offset is placed in the location of the involute, ...

Congenital vascular lesions are often misdiagnosed and, for the most part, left untreated. The absence of a uniformly accepted classification of these lesions and confusion over their natural history are partly responsible. A new classification of these lesions recognizes two distinct groups of lesions, hemangiomas and vascular malformations. Hemangiomas are usually not present at birth, prolif...

Metallic nanoparticles can exhibit very large optical extinction in the visible spectrum due to localized surface plasmon resonance. Spherical plasmonic nanoparticles have been the subject of numerous studies in recent years due to the fact that the scattering response of spheres can be analytically evaluated using Mie theory. However a major disadvantage of metallic spherical nanoparticles is ...

Spherical microphone arrays have been paid increasing attention for their ability to locate a sound source with arbitrary incident angle in three-dimensional space. Low-frequency sound sources are usually located by using spherical near-field acoustic holography. The reconstruction surface and holography surface are conformal surfaces in the conventional sound field transformation based on gene...

This is a geometric approach to spatial involute gearing which has recently been developed by Jack Phillips (2003). After recalling Phillips' fundamental theorems and other properties, some geometric questions around this interesting type of gearing are discussed.