A tricontinuous (10,3)c network phase is documented in a poly(cyclohexylethylene-b-ethylethylene-b-ethylene) triblock copolymer melt based on small-angle x-ray scattering. Application of shear transforms the self-assembled soft material into a single crystal (10,3)d network while preserving the short-range threefold connector geometry. Long-range topological restructuring reduces the space group symmetry, from Fddd to Pnna, maintaining orthorhombic lattice symmetry. Both phases are stable to long time annealing, indicative of nearly degenerate free energies and prohibitive kinetic barriers.