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  • E. Hitzer,D. Ichikawa, Representation of Crystallographic Subperiodic Groups in Clifford’s Geometric Algebra, Adv. Appl. Clifford Alg., Vol. 23(4), pp. 887-906 (2013). DOI: 10.1007/s00006-013-0404-6, Preprint: http://arxiv.org/abs/1306.2095 .
  • E. Hitzer, Crystal planes and reciprocal space in Clifford geometric algebra, Math. Methods in the Applied Sciences, Article first published online: 15 Feb. 2011, (2011), DOI: 10.1002/mma.1442 , Preprint: http://arxiv.org/abs/1306.1646 .
  • E. Hitzer, Interactive visualization of plane groups, Symmetry: Art and Science, Spec. Iss. of The Journal of the Int. Soc. For the Interdisc. Study of Symmetry (ISIS): G. Lugosi, D. Nagy (eds.), Proc. of Symmetry: Art and Science, 8th Congress of ISIS, Days of Harmonics, Gmünd, Austria, 23-28 Aug. 2010, Vol. 2010 (1-4), pp. 80-83, (2010). Preprint: http://vixra.org/abs/1306.0129 .
  • E. Hitzer, Reciprocal space and crystal planes in geometric algebra, electronic conf. proc. of AGACSE 2010, Amsterdam, The Netherlands, 14-16 June 2010. Preprint: http://arxiv.org/abs/1306.1824 .
  • E. Hitzer, C. Perwass, Interactive 3D Space Group Visualization with CLUCalc and the Clifford Geometric Algebra Description of Space Groups, Adv. Appl. Clifford Alg., Vol. 20(3-4), pp. 631–658, (2010), DOI 10.1007/s00006-010-0214-z , Preprint: http://vixra.org/abs/1306.0158 .
  • E. Hitzer, New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford, in Petsche, H.-J.; Lewis, A.C.; Liesen, J.; Russ, S. (eds.), From Past to Future: Graßmann’s Work in Context, Graßmann Bicentennial Conference, September 2009, Springer, Basel, pp. 413 – 422 (2011). DOI: 10.1007/978-3-0346-0405-5_36 , Preprint: http://arxiv.org/abs/1306.2124 .
  • E. Hitzer, C. Perwass, D. Ichikawa, Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra, in G. Scheuermann, E. Bayro-Corrochano (eds.), Geometric Algebra Computing, Springer, New York, 2010, pp. 385-400. DOI: 10.1007/978-1-84996-108-0_18 , Preprint: http://vixra.org/abs/1306.0156 . First partly published in: C. Perwass, E. Hitzer, Interactive 3D Space Group Visualization with CLUCalc based on Geometric Algebra, Electronic Proc. of AGACSE 3, Leipzig, Germany, 17-19 Aug. 2008 (2008).
  • E. Hitzer, Interactive Visualization of Plane Space Groups with the Space Group Visualizer, preprint, 36 pp. (2010). Preprint: http://vixra.org/abs/1306.0135 .
  • E. Hitzer, C. Perwass, Algorithm for conversion between geometric algebra versor notation and conventional crystallographic symmetry-operation symbols, preprint, 14 pp. (2009). Preprint: http://vixra.org/abs/1306.0145 .
  • E. Hitzer, New views of crystal symmetry, in special issue of The Journal of the Int. Soc. For the Interdisciplinary Study of Symmetry: J. Rebielak (ed.), Proc. of Symmetries of Forms and Structures, Wroclaw and Cracow, Poland, 14-19 Sep. 2009, pp. 112-115 (2009). Preprint: http://arxiv.org/abs/1306.1599 .
  • E. Hitzer, C. Perwass, Visualization of fundamental symmetries in nature, Proceedings of Fuzzy System Symposium (FSS 2009), Tsukuba, Japan, 14-16 Jul. 2009. Open access: https://www.jstage.jst.go.jp/article/fss/25/0/25_0_12/_pdf , Preprint: http://vixra.org/abs/1306.0155 .
  • E. Hitzer, D. Ichikawa, Representation of crystallographic subperiodic groups by geometric algebra, Electronic Proc. of AGACSE 3, Leipzig, Germany, 17-19 Aug. 2008, 11 pages (2008). Preprint: http://arxiv.org/abs/1306.1280 .
  • E. Hitzer, C. Perwass, The hidden beauty of gold, Proceedings of the International Symposium on Advanced Mechanical and Power Engineering 2007, between University of Fukui (Japan), Pukyong National University (Korea) and University of Shanghai for Science and Technology (China), 22-25 Nov. 2007, pp. 157-167 (2007). Preprint: http://vixra.org/abs/1306.0153 .
  • D. Ichikawa, E. Hitzer, Symmetry of orthorhombic materials and interactive 3D visualization in geometric algebra, Proceedings of the International Symposium on Advanced Mechanical and Power Engineering 2007, between University of Fukui (Japan), Pukyong National University (Korea) and University of Shanghai for Science and Technology (China), 22-25 Nov. 2007, 302-312 (2007). Preprint: http://vixra.org/abs/1306.0123 .
  • E. Hitzer, C. Perwass, The Space Group Visualizer, Proceedings of the International Symposium on Advanced Mechanical Engineering, between University of Fukui (Japan), Pukyong National University (Korea) and University of Shanghai for Science and Technology (China), 26-29 Oct. 2006, pp. 172-181 (2006). Preprint: http://vixra.org/abs/1306.0152 .
  • E. Hitzer, C. Perwass, Crystallographic space groups: Representation and interactive visualization by geometric algebra, submitted to: Proceedings of the 26th Int. Conference on Group Theoretical Methods in Physics, New York, USA, 2006. Preprint: http://vixra.org/abs/1306.0154 .
  • C. Perwass, E. Hitzer, Space Group Visualizer for Monoclinic Space Groups, Bulletin of the Society for Science on Form, 21(1), pp. 38,39 (2006). Preprint: http://vixra.org/abs/1306.0151 .
  • E. Hitzer, C. Perwass, Three Vector Generation of Crystal Space Groups in Geometric Algebra, Bulletin of the Society for Science on Form, 21(1), pp. 55,56 (2006). Preprint: http://vixra.org/abs/1306.0150 .
  • E. Hitzer, C. Perwass, Crystal Cell and Space Lattice Symmetries in Clifford Geometric Algebra, in TE. Simos, G. Sihoyios, C. Tsitouras (eds.), International Conference on Numerical Analysis and Applied Mathematics 2005, Wiley-VCH, Weinheim, 2005, pp. 937-941 (2005). Preprint: http://vixra.org/abs/1306.0172 .
  • C. Perwass, E. Hitzer, Interactive Visualization of Full Geometric Description of Crystal Space Groups, Proceedings of the International Symposium on Advanced Mechanical Engineering, between University of Fukui (Japan), Pukyong National University (Korea) and University of Shanghai for Science and Technology (China), 23-26 Nov. 2005, pp. 276-282 (2005). Preprint: http://vixra.org/abs/1306.0149 .
  • E. Hitzer, C. Perwass, Full Geometric Description of All Symmetry Elements of Crystal Space Groups by the Suitable Choice of Only Three Vectors for Each Bravais Cell or Crystal Family, Proceedings of the International Symposium on Advanced Mechanical Engineering, between University of Fukui (Japan), Pukyong National University (Korea) and University of Shanghai for Science and Technology (China), 23-26 Nov. 2005, pp. 19-25 (2005). Preprint: http://vixra.org/abs/1306.0148 .
  • E. Hitzer, C. Perwass, Crystal Cells in Geometric Algebra, Proceedings of the International Symposium on Advanced Mechanical Engineering, between University of Fukui (Japan) – Pukyong National University (Korea), 27 Nov. 2004, pp. 290-295 (2004). Preprint: http://vixra.org/abs/1306.0146 .

 

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