x1 is a cross-section (substance viewed cross-sectionally) of object x2 made from perspective/side/orientation/along (and perpendicular to) axis x3 (this determines the shape) and made in hyperplane/at depth/to contain/consisting of particular slice x4 (this determines the size and content), of dimensionality x5 [li; integer greater than -2, less than or equal to the dimensionality of x2]; x1 is the result and arranged content of the intersection of x2 with an (x5) -dimensional hyperplane that is perpendicular to axis x3 and along it such that it has a depth (approximately x4) in x2 that allows it to contain a particular slice (of) x4
This is not necessarily just a picture or perspective/image of a cross-section (use lujvo for that sense)- this would include MRI scans/images, tomography, etc.; it is really a(n idea copy of a) thin slice, in an abstract or mathematical sense, of the object x2 itself (that slice need not actually be removed from the object; the object need not actually be cut). Use lujvo for effective cross-section due to fundamental physical interactions (so-called 'forces'; such as electromagnetism) as in the case of bombardment. Need not be two-dimensional. The substance/medium/consistency and arrangement of the cross-section is the same as that of the object in that particular slice. Microscope slides are included. If the object is n-dimensional and the dimensionality of the cross-section is not n-1, then the particular segment of the (n-1)-dimensional cross-section being particularly considered must be specified by x3, x4, and x5.