ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE

Abstract

In this article, the hexahedron associated to metric geometry full- led by the metric of which unit sphere is hexahedron. We have analytically proved that the isometry group of the space with respect to this metric is the semi direct product of the Euclidean symmetry group of the cube and T(3) which is all translations of analytical 3􀀀space.