585 



Zu- 

 sammen 



Symbol Symbol Symbol 



des Symmorpbe Systeme des Hemisymmorphe Systeme des Asymmorpbe Systeme 



Systems Systems Systems 



VI. Kubische Syngonie. 



3 3 3 



28. Tetartoedrische Symmetrieart (Xq = n^' a^^ ; x ^ = n^ ao+i ; ajg = »^^^ «o+a)- 



19. +;.,+;., +2 keine {22). +{F+h+v)^, +{F+h) ^. 



20. ^fI+F^+F^ +iF+h)^ 



21. +F^-,+(F+G)~,-\-g'^ (22). +{h + v)^, +7*|, +h^ 



ä 3 3 



29. Dodekaedrische Symmetrieart (Xg = n^+x a^; a'j = w" «o+i ; x^ = n'+'^ a^^j^^). 

 19z. +^M +^.. +^. 19/1. +/|, +;^|, +;^^ 22(;^l). +(F+ft+.)|+(2<'+7i+;t)^, 



30. Tetraedrische Symmetrieart {^x^^qi'^ a^:, 3;^ = *^'' «0+«"^ i ^2 ^^ **'''''"'' *o+2k^) • 

 190.+!,+;.,+;. 19Ö1. +ä|, +^1 4-öA 22(M). +(F+7i+.-)| + 5~, 



205. +pA,+i4,+fA +(^''+'1)^+4' +(^+4+4 



21 ö. +2''|+(F+(?)^,+(?^ 21.51. +(ir+5)|+(F+(?)^.-H(?^ 



» 



31. Gyroedrische Symmetrieart (a;„ = «'''+'^ «q ; iCj = «"+'' ao+,j<^ ; ajg = ■/*''+'''+'' ao-|.2«'0 • 



22. +;..+;., +2 keine (9). +^{> +^'f' +'^l 



23. +f|. +i^-^, +f| (38). +(2i^-rf)^,+(2F+2G-d)|, 



24. +1^1, +(2^+G)^, +(2(?-d)^ 



+ (?^ (89). +(2F+2A-d)^,+(2J^-rf)j, 



+ [2F+2v-d)~ 

 (40). +(2ü — d) j, +(2l-+2/j — d)^, 



+ (2/i-d)4 

 (41). +(2«+2;»— d)^, +(27t— d) j, 

 + (2«-c?)^ 

 Abb. d. II. Cl. d. k. Ak. d. Wiss. XX. Bd. II. Abth. 75 



