1. An integrated circuit (“IC”) comprising: a plurality of configurable nodes arranged in an array having a plurality of rows and a plurality of columns; and a plurality of connection schemes for the plurality of the configurable nodes in the array, wherein a connection scheme is an arrangement of connections between the configurable nodes, wherein a connection scheme for a particular configurable node specifies (i) a set of connections between the particular configurable node and a plurality of closest aligned configurable nodes in the array and (ii) a plurality of long offset direct connections, wherein the connections in the connection scheme do not include intervening interconnect circuits.