154 SEV. T. P. KIPwKMAN ON THE THEOEY OE THE POLTEDEA. [§ 1- XXXIT. 
Zoneless Tetrarchij^oles. 
sY\Q=<p,, 
Zoned non-joolar faces. 
A'^^sF{Z}=d', 
A“^sF^Z[=e', 
Here there is no axis to be characterized. 
Ohjanal monozone faces. 
Afi/F|Z}=j, 
A:f/F{Z}=k, 
A-^.sF{Z}=l. 
These are certain of the above zoned non-polar faces, which have an objanal sym- 
metry by reason of their being faces in a repeating zone, to which an axis (a) of even 
repetition, zoned or zoneless, is perpendicular. This axis (a) appears not in this Table, 
but appears in general in the Tables which we shall learn to construct of perfect ohjanal 
monozone summits, which are the reciprocals of the faces here registered. Whatever a 
may be, the only janal symmetrical constructions possible on these faces are objanal 
monozone summits or reticulations, or simply janal anaxine pairs of edges, of whose 
construction we shall treat hereafter (§ 17.). The enumeration of our results is not 
dependent on our knowledge of the zoned or zoneless axis (a). 
Zoneless non-polar faces. 
Janal anaxine faces (XXVI.). 
A;<..anSF = h. 
Asymmetric faces. 
A^s'F=\. 
This number i includes the h A-gons of the preceding entry of janal anaxine faces. 
Xo face is enumerated under the numbers ghi, which is the reflected image of another. 
Similar Tables, B and C, are supposed completed for the Q-edra P-acra. And they 
are all obtained from those of the reciprocal summits which we shall learn to con- 
struct, and lohich are conceived as included in these Tables. 
The janal polar summits (Table B) and the polar summits (Table C) can be con- 
structed for both Q-edra P-acra and P-edra Q-acra, by writing summits for faces and 
zonal for epizonal edges in all the signatures above given. 
