Poincare Halfplanehorocyclic rotation of a line and
equidistant 
Poincare Dischorocyclic rotation of a line and equidistant

PoincareDisk
 "translation" of a horocycle along given line in case they have
common infinite point

Poincare
Disc"translation" of a horocycle along a given line (in case they
have one common finite point)

PoincareHalfplane
 "translation" of a horocycle along given line in case they have
one common point

PoincareHalfplane
 "translation" of a horocycle along given line in case they have
one common point

PoincareDisk
 "translation" of a horocycle along given line in case they have
no common points

PoincareDisk
 "translation" of a horocycle along given line in case they have
no common points

Poincare Halfplane horocycle 
Poincare Halfplanetranslation of a horocycle along
a given line in case they have common point 
Poincare Halfplane horocyclic
rotation of a regular
4gon 
Poincare Halfplanehorocyclic rotation of a regular
4gon 
PoincareDisk
translation of a regular 4gon 
PoincareDisk

horocyclic
rotation of a triangle 
Klein
Diskhorocyclic rotation of a triangle 
Poincare
Diskhorocyclic rotation of a triangle 
Klein
Disk 
horocyclic
rotation of a regular 4gon 
Poincare
Disk translation of a triangle 
Poincare
Disk "translation" of a triangle

Poincare
Disk"translation" of a triangle

Poincare
Disk rotation of a triangle 
Poincare
Disk rotation of a triangle
