Geodesic
Wild tiles in $\mathbb R^3$ with spherical boundaries
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 203-211

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Wildly embedded tiles in $\mathbb R^3$ with spherical boundary are discussed. The construction of the topologically complicated, crumpled cube tiles is reviewed. We construct an infinite family of wildly embedded, cellular tiles with Fox–Artin-type wild points. Finally, a condition on the set of wild points on a cellular tile is given to show that certain wild cells cannot be tiles. Several observations are recorded for further investigations. 
@article{FPM_2005_11_4_a15,
     author = {T. Tang},
     title = {Wild tiles in $\mathbb R^3$ with spherical boundaries},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {203--211},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a15/}
}
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T. Tang. Wild tiles in $\mathbb R^3$ with spherical boundaries. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 203-211. http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a15/