“…While physical objects are constrained to three or fewer dimensions, the dimensions of social, technological, biological and other networks span a wide spectrum [5] , [6] , [7] . A proper understanding of dynamical network phenomena, such as random walks [8] , [9] , synchronization and consensus [10] , [11] , [12] , [13] , heat conduction [14] , [15] , information dissemination [16] , [17] , [18] , [19] , [20] , [21] , competition and cooperation [22] , [23] , [24] , [25] and the spread of rumours [26] , [27] , opinions [28] and diseases [29] , [30] , [31] , [32] , [33] , [34] , [35] including the ongoing COVID-19 pandemic [36] , [37] , requires assessment of the process across a broad range of dimensions and other network properties. This requires the development and application of flexible higher-dimensional network models.…”