Page 63 - Vertical City
P. 63

NETWORKS OF THE CITIES  63

                                  [figure 22]
                                  four conduits diagonally connect the
                                  centers of the neighbourhoods of n × n
                                  towers to a central point.

   The total volume of the network becomes: V4.4 = 2n²
Ωhi [i(n+√2 n-2)(L/H+B/H)+(i-1)]

V4.4 - V4.1 = 2(√2-1)n³ Ωhi(L/H+B/H)

   V4.4 is thus always larger than V4.1 , what had to be
demonstrated.
   58   59   60   61   62   63   64   65   66   67   68