Ingenious. And while we're on the topic of 2D tyranny, why limit the constraints on intersectionality there?!?! 
What of the tyranny of static identification? For that we should accept range to be valid metrics, i.e., "Wo41-62Man59-38[x]." 
In place of 'x' will be a value in Hz; alerting others of the frequency with which you switch genders, thus, how likely you are to flip within a given time frame of interaction. 
FLUIDITY. IS. REAL. 
Also, I'm sickened by society's imposition wherein, my body is relegated to a single species/material. I believe you're right to have suggested the quality of "other." 
However, may I suggest that this really be a placeholder to list the species/material to which one may be 'kin' to? 
Example for a Hippo/Cloud-Kin individual: 
"Wo41-62Man59-38[10Hz]Hippo5-11Nimbus85-79[0.005Hz]Sapiens/Other10; 
Species=100, the "Other" is being kept in case of identities we feeeel are present, despite not (yet) having the linguistic tools to specify.