Steinmetz Solid
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High Quality Content by WIKIPEDIA articles! In geometry, the Steinmetz solid is the solid body generated by the intersection of two or three cylinders of equal radius at right angles. It is named after Charles Proteus Steinmetz, though these solids were known long before Steinmetz studied them. If two cylinders are intersected, the overlap is called a bicylinder or mouhefanggai. If three cylinders are intersected, then the overlap is called a tricylinder.The surface area is 16r2. The ratio of tfrac{r}{3} between surface area and volume holds more generally for a large family of shapes circumsc...
High Quality Content by WIKIPEDIA articles! In geometry, the Steinmetz solid is the solid body generated by the intersection of two or three cylinders of equal radius at right angles. It is named after Charles Proteus Steinmetz, though these solids were known long before Steinmetz studied them. If two cylinders are intersected, the overlap is called a bicylinder or mouhefanggai. If three cylinders are intersected, then the overlap is called a tricylinder.The surface area is 16r2. The ratio of tfrac{r}{3} between surface area and volume holds more generally for a large family of shapes circumscribed around a sphere, including spheres themselves, cylinders, cubes, and both types of Steinmetz solid (Apostol and Mnatsakanian 2006). The surface of the bicylinder consists of four cylindrical patches, separated by four curves each of which is half of an ellipse. The four patches and four separating curves all meet at two opposite vertices.
