Square Weave Cube
This is a modular cube made of six Square Weave Tessellations. The connection method is mine, the authorship of the Square Weave Tessellation seems to be disputed ( www.origamitessellations.com/2006/10/square-weave-tessell... ) but it seems to go back to Shuzo Fujimoto.
Tabs that connect the model are rather small so the model is not very stable but it can support itself and with a little care it can be handled.
For a similar effect achieved with four units for each face, see my Woven Cube.