Richard Klitzing

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Dr. Richard Klitzing (born April 24th 1966) is a trained mathematician and trained physicist with a PHD in theoretical physics on the theory of quasicrystals that was granted by the Eberhard Karls University of Tübingen[1][2][3][4][5][6][7][8]. After a short time of teaching in higher degree schools he abandoned the profession, later returning sporadically as an external part-time lecturer at the cooperative State University of Heidenheim.

As a spare-time mathematician, he is responsible for the discovery of several scaliform and CRF polytopes, including the two first scaliform polychora to be discovered - tuta and prissi. For instance, the first ever known scaliforms tuta, and prissi have been discovered by him. He also discovered several of the scaliform diminishings of polytopes; eg. oddimo, kadify, and codify.

Besides inventing the concept of scaliforms he also invented the segmentotopes[9] as a pedagogical means of easy to visualize monostratic polytopes, and researched on edge-facetings[10]. Further he expanded the concept of alternated faceting (aka snubbing) to alternations of higher-than-vertex elements[11], and he also expanded the notation of linearized Coxeter-Dynkin diagrams to include virtual nodes. He also contributed to the concept of tegum sums, initiated by Wout Gevaert.

He has his own website dedicated to polytopes [1], where he provides (currently) more than 9000 symmetry respecting incidence matrices for more than 4000 polytopes.

References[edit | edit source]

  1. ↑ Klitzing, Richard (1996). Reskalierungssymmetrien quasiperiodischer Strukturen (in German). Verlag Dr. Kovač. ISBN 978-3-86064-428-7.
  2. ↑ Baake, M.; Klitzing, R.; Schlottmann, M. (1992). "Fractally Shaped Acceptance Domains of Quasiperiodic Square-Triangle Tilings with Dodecagonal Symmetry". Physica A. 191: 554–558.
  3. ↑ Klitzing, R.; Schlottmann, M.; Baake, M. (1993). "Perfect Matching Rules for Undecorated Triangular Tilings with 10-, 12- and 8-fold Symmetry". Int. J. Mod. Phys. B. 7, Nos. 6 & 7: 1455–1473.
  4. ↑ Baake, M.; Ben-Abraham, S.I.; Klitzing, R.; Kramer, P.; Schlottmann, M. (1994). "Classification of Local Configurations in Quasicrystals". Acta Cryst., Sect. A50. 5: 553–566.
  5. ↑ Klitzing, R.; Baake, M. (1994). "Representation of Certain Self-Similar Tilings with Perfect Matching Rules by Discrete Point Sets". J. Phys. I, France. 4: 893–904.
  6. ↑ Klitzing, R. (1995). "Substitutional Tilings with Non-Degenerate Translational Modules, but with Vanishing Bragg Intensities". Proc. of the 5th Int. Conf. on Quasicrystals. World Scietific, eds. C. Janot & R. Mosseri: 88–91.
  7. ↑ Gähler, F.; Klitzing, R. (1997). "The Diffraction Pattern of Selfsimilar Tiling". The Mathematics of Long-Range Aperiodic Order, ed. R. V. Moody NATO Advanced Study Institute, Ser. C. Kluwer. 489: 141–174.
  8. ↑ Papodopolos, Z.; Klitzing, R.; Kramer, P. (1997). "Quasiperiodic Icosahedral Tilings from the Six-Dimensional BBC Lattice". J. Phys: A: Math. Gen. 30 No. 6: L143–L147.
  9. ↑ Klitzing, R. (2000). "Convex Segmentochora". Symmetry: Culture and Science. 11, Nos. 1-4: 139–181.
  10. ↑ Klitzing, R. (2002). "Axial-Symmetrical Edge-Facetings of Uniform Polyhedra". Symmetry: Culture and Science. 13, Nos. 3-4: 241–258.
  11. ↑ Klitzing, R. (2010). "Snubs, Alternated Facetings, & Stott-Coxeter-Dynkin Diagrams". Symmetry: Culture and Science. 21, No. 4: 329–344.
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