Strictly face-regular a, , -planes

We are now considering the classification of strictly face-regular ( a, b], fc)-planes. 

We will give in Table 9.3 all 33 parameter set for face-regular ( a, b], fc)-plane 21 continua and 12 sporadic cases (when the tiling is unique). The use of continua to describe discrete structures is not new  

1 Kelvin s intermediate structures between cubic closed packings and hexagonal closed packings. 

2 3-dimensional sphere packings of the highest density are also described by a layer structure (see, for example, [OKHy96]). 

3 In [DeStOOc], four cases of the continuum paradigm in three dimensions are described (partitions 31 to 34 of Table 4). One such example is the tiling of M3 by regular Tetrahedra and Octclhedra. 

---