1863.] 357 



Asymmetric faces : 



6,^27=2, 537=16, 447=70, 3*57=137. 

 The reciprocals of all these faces are the summits of Table C ; but 

 we omit them, as we never have occasion, in our processes of con- 

 struction, to inspect those summits. 



Table D. 

 Zoned polar edges : 



(44)^.26 = 1, Z={2.2, ..,Og,(F}, Z'={.-, 2.2, O 2 , 



1, Z = { . . , 2.2, <& 0^.1}, Z ' = {2.2, 2.2, Q 2 p , 0"} ; 

 (33)^,46=1, Z = {2.2, 2.2, OJ, 02-1}, Z' = {2.2, . . , O 2 , O 2 - 1 } ; 

 (44)^26 = 1, Z=Z' = {2.1, 2.2, Op, 0^ 02-1} . 

 (33)^46=1, Z=Z' = {2.2, 2.1, 0,, 0,, O 2 'i}. 



Zoneless polar edges : 



(55)1>06=2, (44)L,, r 26=4, (33) 2 46=4. 



Zonal edges : 



(44)* 26 = i, (33M6=3, Z = {2, 2, 0, 0} ; 



(44)^26=3, (33M6=4, Z = {4, 2, 0*, 0} ; 



(44)^26 = 1, (33)46 = i, Z = {2, 4, 0, 3 } ; 



(44),o26=2, (33)* 46=2, Z = {4, 2, O 2 }. 



Epizonal edges : 



(55M6 = i, (37)^06 = 1, (35)^26=2, Z = {2, 2, 0, 0} ; 



(35)^26 = 2, Z = {4, 2, 3 ,0}; 



(44) V 26=2, (34) ej ,36=5, z={2, 4, 0, O 3 } ; 



(35)^26=1, (34)^36=2, (33M6=l, 1Z={2,4, 02}. 



Asymmetric edges : 



(64)a*06=2, (63)16=10, (54)a,i6=27; 



(53)a S 26 = 65, (44)26=45; 



(43)36=1C9, (33)a,-46=85. 



Registration of f-edra W-acra. 

 Table A. 



1. One 5-zonedmonarchaxine, with principal polar pentagons and 

 edrogrammic secondary axes. This is the pentagonal prism. 



2. Two 3-zoned monaxine heteroids, one with polar hexagon and 

 triace, the other with polar triace and triangle. The zones are read 

 in Table C below. 



VOL. XII. 2 D 



