TY - ABST

T1 - Hans Hinterreiter’s non-linear transformations

AU - Makovicky, Emil

N1 - MS47-P01

PY - 2010

Y1 - 2010

N2 - Hans Hinterreiter (1902-1989) was a Swiss painter, belongingto the Constructivist movement, who spent most of his life inIbiza, Spain. Since 1930 he occupied himself with the laws ofform and colour. Parallel to Escher, he discovered laws ofcoloured symmetry before crystallographers started workingon them (more about it in [1]). After a period ofexperimentation with plane groups of symmetry, he moved toa more complex level of geometric abstract art by applyingnon-linear transformations to the plane-group patterns. Hisgoal was to achieve a more dynamic rendition of the patternsused. My poster illustrates four different cases of this process,starting always with a plane-group pattern and showing boththe application of non-linear transformations and colouredsymmetry.In his more complex patterns, two of which are shown on theposter, Hinterreiter created domains of affinely orperspectively distorted motif which were further combined bymeans of domain boundaries or by the operations of twinning,the latter being frowned upon very much by art specialistswhen mentioned as one of the analytical concepts. Anothermeans of generalization used by Hinterreiter was a carefulmapping of plane-group patterns onto curvilinear nets ofdifferent kinds, mostly combined with a skilful application ofprinciples of dichroic or polychromatic symmetry.Unlike Escher, Hinterreiter strove to achieve the aestheticideal of a pure abstract form [2] with its inherent symmetries.His unique, two-step approach that combines plane grouppatterns with the principles of coloured symmetry and nonlineartransformations, his understanding of crystallographicand non-crystallographic symmetry and a meticulousapplication of these principles even to the most complexpatterns produced a legacy close to the heart and mind ofevery true crystallographer.

AB - Hans Hinterreiter (1902-1989) was a Swiss painter, belongingto the Constructivist movement, who spent most of his life inIbiza, Spain. Since 1930 he occupied himself with the laws ofform and colour. Parallel to Escher, he discovered laws ofcoloured symmetry before crystallographers started workingon them (more about it in [1]). After a period ofexperimentation with plane groups of symmetry, he moved toa more complex level of geometric abstract art by applyingnon-linear transformations to the plane-group patterns. Hisgoal was to achieve a more dynamic rendition of the patternsused. My poster illustrates four different cases of this process,starting always with a plane-group pattern and showing boththe application of non-linear transformations and colouredsymmetry.In his more complex patterns, two of which are shown on theposter, Hinterreiter created domains of affinely orperspectively distorted motif which were further combined bymeans of domain boundaries or by the operations of twinning,the latter being frowned upon very much by art specialistswhen mentioned as one of the analytical concepts. Anothermeans of generalization used by Hinterreiter was a carefulmapping of plane-group patterns onto curvilinear nets ofdifferent kinds, mostly combined with a skilful application ofprinciples of dichroic or polychromatic symmetry.Unlike Escher, Hinterreiter strove to achieve the aestheticideal of a pure abstract form [2] with its inherent symmetries.His unique, two-step approach that combines plane grouppatterns with the principles of coloured symmetry and nonlineartransformations, his understanding of crystallographicand non-crystallographic symmetry and a meticulousapplication of these principles even to the most complexpatterns produced a legacy close to the heart and mind ofevery true crystallographer.

M3 - Conference abstract for conference

T2 - 26th European Crystallographic Meeting

Y2 - 30 August 2010

ER -