37 5] 
NOTES ON POLYHEDRA, 
533 
Axial System of the Gabe and Octahedron. 
Distances 
Azimuths 
cos X 
cos Y 
cos Z 
Eot. Symbols 
angle 
cos 
sin 
angle 
cos 
sin 
\ 
4 3-axes, | Rot 
angle = 60°, cos = sin =: J J'3. 
54°44' 
1 
ß 
ß 
7 
45° 
1 
+ ß 
i 
+ A 
i 
+ js 
1 
+ ß 
1 
+ ß 
i (! +i+j + k) 
55 
55 
55 
135° 
55 
+ >> 
55 
+ >5 
+ !5 
1(1 -i+j + k) 
55 
5» 
55 
225° 
_ 55 
55 
55 
55 
•+■ ,, 
1(1 - t -j + 1c) 
55 
55 
55 
315° 
+ » 
“ 5 5 
+ )> 
55 
+ »> 
\\l+i-j + k) 
3 4-axes. 4 Rot. angle — 
45°, cos = 
1 
—, sin = 
1 
s/2 
ß 
0° 
1 
0 
* 
* 
0 
0 
1 
ß +k) 
90° 
0 
1 
0° 
1 
0 
1 
0 
0 
jl< 1+¿) 
55 
55 
55 
90° 
0 
1 
0 
1 
0 
71 (1+i) 
6 2-axes, | Rot. angle = 
90°, cos = 
0, sin = 1. 
1 
1 
0 
1 
0 
1 
1 . , 
45° 
ß 
7 
0° 
1 
7 
vi 
(* + *) 
1 
i 
1 , . 7X 
5) 
55 
55 
90° 
0 
1 
0 
ß 
ß 
i 
-ß 0 + k) 
ß(-i + k) 
180° 
- 1 
0 
i 
0 
55 
ß 
ß 
0 
1 
i 
1 
55 
55 
55 
270° 
0 
-1 
~ß 
ß 
(~J + k ) 
1 
1 
1 
1 
1 • .V 
90° 
0 
1 
45° 
A 
7 
A 
ß 
0 
_ (l + j) 
ß K 
1 
i 
1 
1 
0 
1 . „ 
55 
55 
55 
135° 
“s/2 
ß 
ß 
ß 
3s ( - + "