magnetic domains with defined wall topologies are controllably generated from a domain having known characteristics . a &# 34 ; mother &# 34 ; bubble domain of a known wall state is generated by nucleation . the mother domain is stretched and split in the presence of a magnetic field directed across the separation area . a pair of bloch lines is generated in every splitting process . the assignment of the lines to either one of the two resulting domains depending upon the wall state of its mother domain and the direction of the directed magnetic field . instead of the directed magnetic field , velocity inducing forces can be applied to the elongated domain . the effect desired is to incline the wall magnetization in the elongated section of the domain . controlled resplitting of domains having bloch lines increases the number of bloch lines in one domain to generate any predesignated wall state . the multiplicity of states which can be controllably generated anticipates their utilization beyond binary bit coding .