In 1984, S. K. Stein and his co-authors posed a problem concerning simple three-dimensional shapes, known as semicrosses, or tripods. By definition, a tripod is formed by a corner and the three adjacent edges of an integer cube. How densely can one fill the space with nonoverlapping tripods of a given size? In particular, is it possible to fill a constant fraction of the space as the tripod siz...

2014 A tripod field is used as model for a general anisotropic fluid. The elastic energy density is expanded as invariant polynomial in the components of the contortion tensor. Surface energy terms are derived from compatibility conditions for the tripod field. The model is applied to cholesteric liquid crystals of large and small pitch, to 3He-A, and to biaxial nematic liquid crystals. J. Phys...

BACKGROUND Patients who have undergone enucleation during infancy due to retinoblastoma can develop microorbitalism due to the decreased growth stimulation from the eyeball and the surrounding soft tissues. Anatomically, the orbit consist of parts of the frontal bone superiorly, the maxilla inferiorly, the ethmoid bone medially, and the zygoma laterally. Considering the possibility of surgicall...

Slow light based on the effect of electromagnetically induced transparency is of great interest due to its applications in low-light-level nonlinear optics and quantum information manipulation. The previous experiments all dealt with the single-component slow light. Here, we report the experimental demonstration of two-component or spinor slow light using a double-tripod atom-light coupling sch...

The precise relationship of functional writing and pencil grasp has not been determined. Occupational therapists and educators have long recommended the mature dynamic tripod grasp. This grasp provides the most control of the pencil. Variations of this grasp (lateral tripod, dynamic quadrupod, adapted tripod) are common in children with legible handwriting. A grasp with an open web space betwee...

Locomotion in biological systems involves various gaits, and hysteresis appears when the gaits change in accordance with the locomotion speed. That is, the gaits vary at different locomotion speeds depending on the direction of speed change. Although hysteresis is a typical characteristic of nonlinear dynamic systems, the underlying mechanism for the hysteresis in gait transitions remains large...