Geodesic
Affine invariant contractions of simplices
Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1
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It is known that every hyperbolic Iterated Function System containing affine mappings can be represented in barycentric form by which it becomes affine invariant. Some properties were surveyed and some new ones were established. Examples of fractal sets supplement the theory. 
@article{KJM_2007_30_1_a11,
     author = {Ljubi\v{s}a Koci\'c and Sonja Gegovska-Zajkova and Liljana Stefanovska},
     title = {Affine invariant contractions of simplices},
     journal = {Kragujevac Journal of Mathematics},
     pages = {171 - 179},
     year = {2007},
     volume = {30},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a11/}
}
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Ljubiša Kocić; Sonja Gegovska-Zajkova; Liljana Stefanovska. Affine invariant contractions of simplices. Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1. http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a11/