# Stereometric construction through revolution

STEREOMETRIC CONSTRUCTION THROUGH REVOLUTION An analysis for Terrain I, Lehrstuhl für Digitales und Experimentelles Entwerfen oktober-november 2013 by Muriel Merkel and Lasse Skafte ----- The project explores the concept of stereometric construction and different techniques of representation. ----- “we take four planes and we construct with them the same volume as of four tons of mass.” -Naum Gabo “Stereometric construction” is based on the idea of describing volume through planes and the space in between, rather than the establishment of mass. Stereometric construction through revolution furthermore describes volumes through planes rotated around an axis. When planes non-parallel to the axis are revolved, curves seem to appear. The resulting surfaces are called hyperboloids, double curved surfaces that are described only by straight lines. They are doubly ruled since to each point on the surface, there are two straight lines, that go through the point and belongs to the surface. One set of lines is described by the revolution of the plane, the other set by the revolution of the plane mirrored around the axis.