It can be seen that vision requires space. Therefore when we compare thinking to modes of vision, we spatialise our thinking. Space can be understood with reference to geometry. Mathematicians are good at recognising patterns. What they often do is to imagine their numbers spatially. The square of a number, for instance, is quite literally a square made of that number.
. . .
3˛ = . . .
. . .
Then they test those patterns, twist them allow all sorts of alternative configurations to pass review. If you want to find new ways to conceptualise thinking it might help to become acquainted with mathematical notions such as topology, chaos theory, set theory, geometry, etc.
Philosophers often spatialise their thinking. Relations in value and meaning are placed “above” and “below” each other. In this way a conceptual space of value is created with which we build the structure of society.