14 24 34
13 23
12

total flag variety 6d

partial flag varieties

point,line 5d - 34
point, plane 5d - 23
line, plane 5d - 12
point 3d - 24,23,34
line 4d - 12,34
plane 3d - 13,12,23

down-sets extending [24 23 34] = [24 23 34],[24 23 34 12],[24 23 34 12 13],[24 23 34 12 13 14]

down-sets extending [12 34] = [12 34],[12 34 23],[12 34 23 13],[12 34 23 24],[12 34 23 13 24 ],[12 34 23 13 24 14]

?? 0d,1d,2d,2d,3d,4d ??...

??corresponding to the 6 "line" faces of the weylotope??

??but so then what _about_ the singularity of that 2d shubert variety of b2??

??somehow... it doesn't "look singular" from the total flag variety viewpoint... ???or something??? .....