Table 3.

Orbit counts for symmetric body–bar frameworks that count as minimally rigid without symmetry (i.e. for each group S, |E| is the smallest number so that |E|≥6|B|−6 and |E| is divisible by |S|), but do not satisfy the count |E|=6|B|−6.

S	trivS	|E|	|E0|	6|B0|−trivS	fS
	0	6|B|−4	6|B0|−1	6|B0|	1
	2	6|B|−4	6|B0|−1	6|B0|−2	−1
	2	6|B|−5	6|B0|−1	6|B0|−2	−1
	2	6|B|	6|B0|	6|B0|−2	−2
	0	6|B|	6|B0|	6|B0|	0
	0	6|B|	6|B0|	6|B0|	0
	0	6|B|	6|B0|	6|B0|	0
	0	6|B|	6|B0|	6|B0|	0