The Rapaport group has bought a 50% stake, which it did not own earlier, in Octahedron Ltd. Based in Australia, Octahedron Ltd., is a web-based point-of-sale and business management software firm providing advanced inventory management solutions to jewellery stores. %%Through this deal, Octahedron would open two additional 24-hour customer support desks in Las Vegas and India, which will coincide with its products being introduced into the United States and Indian markets.