A device with a system of several data processing units that each include a memory apparatus for receiving / supplying objects, comprising multidimensionally addressed electronic data, with processor means (301, 302) and memory means and with physical data interchange connections between the several data processing units, wherein - a virtual network is formed in the system in which the several data processing units are represented as a torus arrangement of several memories (S1,..., Sn; n > 1) with d dimensions (d > 1) and in which an associated routing table with d subtables is formed in each of the several memories (S1,..., Sn), which subtables include entries comprising reference information and concerning communication connections of a memory to other memories of the several memories (S1,..., Sn), - one or several name ranges of a name space for names of the objects are associated with each of the several memories (S1,..., Sn), a total order being defined via the ranges of values of the name space that are used in d dimensions, - the names of the objects can be represented as tuples (n0,..., ng) (g > d), and - the entries E Sx,a [j, i] (1≤ j < b; 1< b; 1 ≤ a ≤ d; 0 < i ≤ n) containing electronic reference information are formed as follows for each of the several memories (Sx; x = 1, 2,...; 1 ≤ x ≤ n) of the several memories (S1,..., Sn) in the virtual network using a base b for the a-th dimension of the torus arrangement in the associated routing table: Entry E Sx,a [l, l] = Reference to the communication connection to a memory adjacent in the a-th dimension of the torus arrangement;... Entry E SX,a [j, l] = Entry E Sv,a [k, l] in another memory (Sv) to which an entry E Sx,a [m, l] in the memory (Sx) refers, with 2 ≤ j < b, 0 < k, m and in which k, m selectively correspond to a valid whole number occupancy of the equation k + m = j; Entry E Sx,a [l, i] = Entry E Sv,a [k, i - l] in another memory (Sv) to which an entry E Sx,a [m, i - l] in the memory (Sx) refers, with 1 < i, 0 < k, m and in which k, m selectively correspond to a valid whole number occupancy of the equation k + m = b;... Entry E Sx,a [j, i] = Entry E Sv,a [k, i] in another memory (Sv) to which an entry E Sx,a [m, i] in the memory (Sx) refers, with 2 ≤ j < b, 1 < i, 0 < k, m and in which k, m selectively correspond to a valid whole number occupancy of the equation k + m = j; - a virtual network is formed in the system in which the several data processing units are represented as a torus arrangement of several memories (S1,..., Sn; n > 1) with d dimensions (d > 1) and in which an associated routing table with d subtables is formed in each of the several memories (S1,..., Sn), which subtables include entries comprising reference information and concerning communication connections of a memory to other memories of the several memories (S1,..., Sn), - one or several name ranges of a name space for names of the objects are associated with each of the several memories (S1,..., Sn), a total order being defined via the ranges of values of the name space that are used in d dimensions, - the names of the objects can be represented as tuples (n0,..., ng) (g > d), and - the entries E Sx,a [j, i] (1≤ j < b; 1< b; 1 ≤ a ≤ d; 0 < i ≤ n) containing electronic reference information are formed as follows for each of the several memories (Sx; x = 1, 2,...; 1 ≤ x ≤ n) of the several memories (S1,..., Sn) in the virtual network using a base b for the a-th dimension of the torus arrangement in the associated routing table: Entry E Sx,a [l, l] = Reference to the communication connection to a memory adjacent in the a-th dimension of the torus arrangement;... Entry E SX,a [j, l] = Entry E Sv,a [k, l] in another memory (Sv) to which an entry E Sx,a [m, l] in the memory (Sx) refers, with 2 ≤ j < b, 0 < k, m and in which k, m selectively correspond to a valid whole number occupancy of the equation k + m = j; Entry E Sx,a [l, i] = Entry E Sv,a [k, i - l] in another memory (Sv) to which an entry E Sx,a [m, i - l] in the memory (Sx) refers, with 1 < i, 0 < k, m and in which k, m selectively correspond to a valid whole number occupancy of the equation k + m = b;... Entry E Sx,a [j, i] = Entry E Sv,a [k, i] in another memory (Sv) to which an entry E Sx,a [m, i] in the memory (Sx) refers, with 2 ≤ j < b, 1 < i, 0 < k, m and in which k, m selectively correspond to a valid whole number occupancy of the equation k + m = j;