This small parcel of land serves as an important strategic linkage in the Lawrence parks inventory.   To the south of Constant Park, across 6th Street, lay park lands that provide important outdoor recreational space that support the vibrant Lawrence downtown area.   To the north and east lay the Kansas riverfront, with acres of tree lined river banks ripe for development of additional recreational activities along the Kansas River.   Constant Park provides the connection linking these diverse recreational activities.

An unrealized portion of the original master plan included CP&Associates vision for a sculptural fountain as the focus for the park and a reminder of Lawrence's history.   The City of Lawrence emblem is a Phoenix rising up from flames, based on how the Eldridge House was burned to the ground and rebuilt several times during its long history.   The Phoenix Fountain represented new life rising from the remains of a ruined town with the backdrop of the symbolic Eldridge Hotel building.