The outcome of designing and navigating virtual space abstractions cannot be perceived as a neutral process for re-imagining or re-presenting what is indented by the mind’s eye or the body’s hand as phenomenology might suggest. Instead of assuming the virtual space as a substrate construed as intentional or as aiming to prefix subject-object relations, the abstract virtual space according to Brian Massumi has an active (and unpredictable) life of its own. It is rather populated by virtual forces of deformation that avoid imprisonment of signification and tend to reconnect with bodily materiality at the ontological ground of lived experience. Moreover, the user is impelled to encounter moving with/out the body to identify presence and interaction in the virtual space. Taking into account Deleuze’s reading of Spinoza’s well known say: ‘we do not know what a body can do’, one may argue for the virtual space’s autonomous agency exemplified as its fluid, transitional or changeable nature. Based on a preliminary analysis of more than 200 offhand student projects on virtual space in a course on interactive spatial design taught by the first author, the present paper aims to consider the relation between virtual space abstractions and movement with and without the body as an event of impure geometries. Impure in the sense that the encounter of codes (sensors, controllers, actuators), affects and interfaces produces an ongoing transformation of surfaces and depths that cannot be regulated. This can be thought as an inverted experience of a pure virtual reality coding process with our minds, hands or bodies that does no longer rely merely with us as designers and/or navigators, but unfolds back on itself as impure geometry and continues, alongside us, to create unexpected topological experiences of separations, intersections, cuts, stoppages, doublings or folds. Seen through a pedagogy of concepts perspective, events of moving with/out the body with/in virtual space abstractions serve to disrupt discourses of im/pure geometry.