140 EEV. T. P. KIEKMAN ON THE THEOEY OF THE POLTEDEA. [§ 1. XXII. 
Every non-polar zoneless feature is read 4r times, viz. twice about each of the 2r zoue- 
less poles. 
In our construction the edges of the united faces FF' form a circuit of zonoid edges, 
generally effaceable, so that the zoneless axes may become amphiedral. But we shall 
learn that there are homozones which have no such lines effaced or e:^ceable. 
Homozone polyedra are the following : — 
In the first the 4-zohed axis has polar tessaraces, and the four 2-ple zoneless axes are 
amphigrammic. The signatures of A are — 
Z={(2.1,+2.1X2.3) 0"' 0“}(/,=a=0), 
8{0'}, K=9,=0). 
The signatures of the 3-zoned homozone B are — 
Z={(2.1^+2.1) (2.3) (0^-' 0^-^}, 
6 { 0 ;}. 
It has polar triaces, and three amphigrammic 2-ple zoneless axes. 
C is a 2-zoned homozone, i. e. a triaxine homozone, whose zoned axis is amphigrammic, 
the two zoneless ones being amphigonal. The signatures are — 
z={(2.1)(2.3) o; o; 0=-}(^,=/,=5-=«=0), 
?={4.1,}(<)!,=«=0). 
The fourth, D, has an amphigrammic zoned axis, and two amphiedral zoneless axes. 
Its signatures are — 
z={(2.i)(2.2)0,o;o-^ 
fo=4=0). 
