Table 2.

Normal vectors in corners, edges, and planes of a cube, using single (standard methods) and multiple structures (method used).

Region	Theoretical Normal Vector	One-Structure Theoretical	Multiple-Structure J-linkage
	${\mathit{N}}_{\mathit{x}}$/${\mathit{N}}_{\mathit{y}}$/${\mathit{N}}_{\mathit{z}}$	(Standard Methods) ${\mathit{N}}_{\mathit{x}}$/${\mathit{N}}_{\mathit{y}}$/${\mathit{N}}_{\mathit{z}}$	Theoretical (Method Used) ${\mathit{N}}_{\mathit{x}}$/${\mathit{N}}_{\mathit{y}}$/${\mathit{N}}_{\mathit{z}}$
Corner	0.0/−1.0/0.0	−0.5350/−0.5350/0.6538	0.0/−1.0/0.0
	−1.0/0.0/0.0	—	−1.0/0.0/0.0
	0.0/0.0/1.0	—	0.0/0.0/1.0
Corner 5% noise	0.0/−1.0/0.0	−0.5438/−0.5888/0.5979	−0.0010/−0.9997/0.0215
	−1.0/0.0/0.0	—	−0.9993/0.0234/0.02866
	0.0/0.0/1.0	—	0.0711/0.0478/0.9963
Edge	0.0/0.0/1.0	0.0/−0.7071/0.7071	0.0/0.0/1.0
	0.0/−1.0/0.0	—	0.0/−1.0/0.0
Edge 5% noise	0.0/0.0/1.0	0.0027/−0.5286/0.8488	0.0765/−0.0416/0.9962
	0.0/−1.0/0.0	—	0.0159/−0.9953/−0.0952
Plane	$0.0/0.0/1.0$	$0.0/0.0/1.0$	$0.0/0.0/1.0$
Plane 5% noise	0.0/0.0/1.0	0.0191/−0.0116/0.9998	0.01271/−0.0114/0.9998