%0 Journal Article %1 WOS:000435968700003 %A V, D Stager %A Herrmann, H J %C 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE %D 2018 %I WORLD SCIENTIFIC PUBL CO PTE LTD %J FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY %K Four-Dimensional Fractal Packing Packing; Packing} Space-Filling Spheres; of {Self-Similar %N 3 %R 10.1142/S0218348X18500226 %T SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS %V 26 %X Inversive geometry can be used to generate exactly self-similar space-filling sphere packings. We present a construction in two dimensions and generalize this construction to search for packings in higher dimensions. We discover 29 new three-dimensional topologies of which 10 are bearings, and 13 new four-dimensional topologies of which five are bearings. To characterize the packing topologies, we estimate numerically their fractal dimensions and we analyze their contact networks.

@article{WOS:000435968700003, abstract = {Inversive geometry can be used to generate exactly self-similar space-filling sphere packings. We present a construction in two dimensions and generalize this construction to search for packings in higher dimensions. We discover 29 new three-dimensional topologies of which 10 are bearings, and 13 new four-dimensional topologies of which five are bearings. To characterize the packing topologies, we estimate numerically their fractal dimensions and we analyze their contact networks.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE}, author = {V, D Stager and Herrmann, H J}, biburl = {https://www.bibsonomy.org/bibtex/27b3309eaa6995b0e8e3dac8d0f842110/ppgfis_ufc_br}, doi = {10.1142/S0218348X18500226}, interhash = {f0e2d12bf37f4cdf5e79a33bea1308ba}, intrahash = {7b3309eaa6995b0e8e3dac8d0f842110}, issn = {0218-348X}, journal = {FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY}, keywords = {Four-Dimensional Fractal Packing Packing; Packing} Space-Filling Spheres; of {Self-Similar}, number = 3, publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS}, tppubtype = {article}, volume = 26, year = 2018 }