TGView3D: A System for 3-Dimensional Visualization of Theory Graphs

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Intelligent Computer Mathematics (CICM 2020)

Abstract

We describe the TGView3D system, an interactive graph viewer optimized for exploring mathematical knowledge as 3D graphs. To exploit all three spatial dimensions, it extends the commonly-used force-directed layout algorithms with hierarchical components that are more suitable for the typical structure of mathematical knowledge. TGView3D can also communicate with OMDoc-based knowledge management tools in order to offer semantic, mathematics-specific interaction with the graphs.

The authors were supported by DFG grant RA-1872/3-1, KO 2428/13-1 OAF and EU grant Horizon 2020 ERI 676541 OpenDreamKit. They are also grateful for hardware support from and very helpful discussions about layout algorithms with Roberto Grosso and Marc Stamminger as well as Jonas Müller.

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References

  1. Bastian, M., Heymann, S., Jacomy, M.: Gephi: an open source software for exploring and manipulating networks. In: Third International AAAI Conference on Weblogs and Social Media (2009)

    Google Scholar 

  2. Codescu, M., Horozal, F., Kohlhase, M., Mossakowski, T., Rabe, F.: Project abstract: logic atlas and integrator (LATIN). In: Davenport, J.H., Farmer, W.M., Urban, J., Rabe, F. (eds.) CICM 2011. LNCS, vol. 6824, pp. 289–291. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22673-1_24. https://kwarc.info/people/frabe/Research/CHKMR_latinabs_11.pdf

  3. Dwyer, T., Koren, Y., Marriott, K.: Drawing directed graphs using quadratic programming. IEEE Trans. Visual Comput. Graph. 12(4), 536–548 (2006)

    Article  Google Scholar 

  4. Kohlhase, M.: OMDoc - An Open Markup Format for Mathematical Documents [Version 12]. LNAI, vol. 4180. Springer, Heidelberg (2006). https://doi.org/10.1007/11826095. http://omdoc.org/pubs/omdoc1.2.pdf

    Book  Google Scholar 

  5. Rabe, F., Kohlhase, M.: A scalable module system. Inf. Comput. 230, 1–54 (2013). http://kwarc.info/frabe/Research/mmt.pdf

    Article  MathSciNet  Google Scholar 

  6. Rupprecht, M., Kohlhase, M., Müller, D.: A flexible, interactive theory-graph viewer. In: Kohlhase, A., Pollanen, M. (eds.) MathUI 2017: The 12th Workshop on Mathematical User Interfaces (2017). http://kwarc.info/kohlhase/papers/mathui17-tgview.pdf

  7. Unity Game Engine. https://unity3d.com. Accessed 03 July 2019

  8. Wenzel, M.: Interaction with formal mathematical documents in Isabelle/PIDE. In: Kaliszyk, C., Brady, E., Kohlhase, A., Sacerdoti Coen, C. (eds.) CICM 2019. LNCS, vol. 11617. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-23250-4_1

    Chapter  Google Scholar 

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Correspondence to Richard Marcus .

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Marcus, R., Kohlhase, M., Rabe, F. (2020). TGView3D: A System for 3-Dimensional Visualization of Theory Graphs. In: Benzmüller, C., Miller, B. (eds) Intelligent Computer Mathematics. CICM 2020. Lecture Notes in Computer Science(), vol 12236. Springer, Cham. https://doi.org/10.1007/978-3-030-53518-6_20

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  • DOI: https://doi.org/10.1007/978-3-030-53518-6_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-53517-9

  • Online ISBN: 978-3-030-53518-6

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