Halloween hermit crab It is native to the Indo-Pacific region, including the Red Sea and Hawaii. It is very similar in appearance to three other species in the same genus: "C. tricolor", "C. vakovako" and "C. galzini", only distinguishable by the color of its striae. The halloween hermit crab will grow on average to in length, which is fairly large in comparison to other hermit crabs. It has a noticeably flattened pure white shield, approximately long. It is a nocturnal species, and has been described as "conspicuous". It lives primarily in empty cone shells, mainly those of snails or tritons. Like other hermit
History of manifolds and varieties History of manifolds and varieties The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups. The term "manifold" comes from German "Mannigfaltigkeit," by Riemann. In English, "manifold" refers to