110°55'
, >/5-1 n/5 + 1 .
“ 4 * + 4 ^
Axial System of the Dodecahedron and Icosahedron (concluded).
angle
36°
60°
72°
Distances
cos
Azimuths
cosZ
cos Y
cos Z
Rot. Symbols
angle
cos
sin
15 2-axes, ^Rot. angle = 90°, cos=0, sin —1.
1
1
0
*
*
I
0
0
1
0
1
0°
1
0
1
0
0
»
33
90°
0
1
0
1
0
si 5+ 1
> /(10-2>/5)
\^5 -1
2
»/5-1
+ 4
s/5 + 1
4
4
v '(10 - 2 s/5)
v /(10-2> / 5)
+ 4
1 4
3 3
»
297°20'
+ 93
5 3
+ >3
- „
+ „
9 9
»
242°40'
- ..
3 3
■
— 3 3
+ „
,,
117°20'
„
+ ,,
+ 33
+ 93
\ ; 3
s/5 + 1
s/ 5 - 1
v/5 + 1
s/5-1
h
"2"
20°55'
2 s/5
+ /"
2 V 3
+ 4
+ -r~
+ h
-
»
339°5'
+ ,,
33
+
~ 3 3
+ ,,
»
..
200°55'
-
33
- „
— 33
+ ,,
33
159°5'
-
+ 33
- „
+ 33
+ „
*/5-1
1 x /(10 + 2\ / 5)
n/5-1
i + 2 ,
+ 1
5 -f-1
4-
s/5-1
~r~
" 4 ~
V(10-2>/5)
x /(10 - 2 V 5)
+ 4
+ 4
”
»
297°20'
+ 99
+ »,
“' 33
+ „
99
99
242°40'
„
9 9
- „
” 33
+ „
”
»
117°20'
»
+ 33
- „
+ 93
+ „
s/5 - 1 , . s/5 +1 .
- 1 -г+iJ + — г -k
s/5-1 . , . >/5 + 1 ,
s/5-1. .. */5 + 1
- 4—i-h+—i k
A 5 - 1 . , . s/5 + 1
-~4T' + i>+-—*
>/5 +1 . \/5 -1 . ,
s/5 + 1 . s/5-1 .
s/5 + 1 . s/5-1 ..
- — •—4-J + i*
n/5 +1 . >/5 - 1 .
4—i + —j + 4*
, . >/5+1 . s/5-1,
hi+ +
. . s/ 5 +1 . s/ 5 — 1 ,
»*- T" + *
, . >/5 + 1 . >/5 - 1 7
- 4* 4 3 + ~4 *
. >/5 + 1. /5-1,
- hi + -
J + -
Hl
NOTES ON POLYHEDRA.