@phdthesis{dissertation, author = {Freiherr von Gagern, Martin}, title = {Creating Hyperbolic Ornaments}, year = {2014}, school = {Technische Universität München}, pages = {126}, language = {en}, abstract = {Computers can help with the creation of ornaments in hyperbolic geometry, either by facilitating interactive drawing of these, or by transforming existing Euclidean ornaments into their hyperbolic counterparts. Particular challenges addressed in this work include efficient renderig similar to ray tracing, intuitive selection of a symmetry group based on a triangle reflection group and cell deformation using discrete conformality.}, keywords = {geometry, hyperbolic geometry, non-Euclidean geometry, symmetry, ornament, symmetry group, orbifold, discrete differential geometry}, note = {}, url = {https://mediatum.ub.tum.de/1210572}, }