Publications

I am grateful for the numerous inspiring interdisciplinary collaborations I’ve had the privilege to be involved in. For a list of co-authors, please see here.

In the following papers marked with a , authors are listed in alphabetical order. Authors marked with a are considered joint first authors.


Submitted papers

[27] K. Mundilova, E. Demaine, R. Lang, and T. Tachi. “Analysis of Huffman’s Hexagonal Column with Cusps,” submitted to OSME, 2024.

[26] K. Mundilova and G. Nawratil. “Rigid-Ruling Folding Compatibility of Planar Creases,” submitted to OSME, 2024.

[25] K. Sharifmoghaddam, K. Mundilova , G. Nawratil, T. Tachi. “Woven Rigidly Foldable T-hedral Tubes Along Translational Surfaces,” submitted to OSME, 2024.

[24] R. Foschi, R. Maleczek, K. Mundilova, S. Nishimoto, T. Tachi. “Slit-Folding: Actuating Curved Creases by Closing Tailored Openings,” submitted to OSME, 2024.

[23] L. Chung, E. Demaine, M. Demaine, J. Diomidova, J. Lynch, K. Mundilova, and H. Zhang. “Folding a Strip of Paper into Shapes with Specified Thickness,” submitted to OSME, 2024.

[22] K. Mundilova. “Maclaurin Trisectrices as t-Affine Loci of the First Isogonic and Isodynamic Centers,” accepted to ICGG, 2024.



Published Papers

[21] K. Mundilova, E. Demaine, R. Lang, and T. Tachi. “Curved-Crease Origami Spirals Constructed from Reflected Cones,” Bridges Conference Proceedings, 2023. [Full text]

[20] R. Kraft, R. Maleczek, K. Mundilova, and T. Tachi. “From Quad Filling to Wrinkled Surfaces,” Advances in Architectural Geometry, 2023. [Full text]

[19]A. Parra Rubio, K. Mundilova, D. Preiss, E. Demaine, and N. Gershenfeld. “Kirigami Corrugations: Strong, Modular, and Programmable Plate Lattices,” Proceedings of the ASME, 2023. [Full text]

[18] P. Zhang, J. Chiang, X. Fan, and K. Mundilova. “Local Decomposition of Hexahedral Singular Nodes into Singular Curves,” Computer-Aided Design, vol. 158, 2023. [Full text]

[17] T. Hull, A. Lubiw, K. Mundilova, C. Nara, J. Tkadlec, and R. Uehara. “Quasi-Twisting Convex Polyhedra,” 34th Canadian Conference Computational Geometry (CCCG), 2022. [Full text]

[16]E. Demaine, K. Mundilova, and T. Tachi. “Locally Flat and Rigidly Foldable Discretizations of Conic Crease Patterns with Reflecting Rule Lines,” Proceedings of the International Conference on Geometry and Graphics (ICGG), 2022. [Full text]

[15] K. Mundilova, E. Demaine, R. Foschi, R. Kraft, R. Maleczek, and T. Tachi. “Lotus: A Curved Folding Tool for Grasshopper,” Proceedings of ACADIA Conference, 2021. [Full text]

[14] O. Aichholzer, H. Akitaya, K. Cheung, E. Demaine, M. Demaine, S. Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, and C. Schmidt. “Folding Polyominoes with Holes into a Cube,” Computational Geometry: Theory and Applications, vol. 93, 2021. [Full text]

[13] R. Foschi, R. Kraft, R. Maleczek, K. Mundilova, and T. Tachi. “How to Use Parametric Curved Folding Design Methods – A Case Study and Comparison,” Proceedings of IASS Annual Symposia, no. 23, 2020. [Full text]

[12] R. Maleczek, K. Mundilova, and T. Tachi. “Curved Crease Edge Rounding of Polyhedral Surfaces,” Proceedings of the AAG Conference, 2020. [Full text]

[11] K. Czajkowski, E. Demaine, M. Demaine, K. Eppling, R. Kraft, K. Mundilova, and L. Smith. “Folding Small Polyominoes into a Unit Cube,” 32nd Canadian Conference on Computational Geometry (CCCG), 2020. [Full text]

[10] E. Demaine, M. Demaine, and K. Mundilova. “Design of Circular-Arc Curved Creases of Constant Fold Angle,” Proceedings of Bridges Conference, 2020. [Full text]

[9] C. Jiang, K. Mundilova, F. Rist, J. Wallner, and H. Pottmann. “Curve-pleated Structures,” ACM Transactions on Graphics (TOG), 38(6): 169:1-169:13, 2019. [Full text]

[8] K. Mundilova. “On Mathematical Folding of Curved Crease Origami: Sliding Developables and Parametrizations of Folds into Cylinders and Cones,” Computer-Aided Design, vol. 115, 2019. [Full text]

[7] K. Mundilova. “Curved Crease Folds of Spherical Polyhedra with Regular Faces,” Proceedings of Bridges Conference, 2019. [Full text]

[6] O. Aichholzer, H. Akitaya, K. Cheung, E. Demaine, M. Demaine, S. Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, C. Schmidt. “Folding Polyominoes with Holes into a Cube,” 31st Canadian Conference on Computational Geometry (CCCG), 2019.

[5] K. Mundilova and T. Wills. “Folding the Vesica Piscis,” Proceedings of Bridges Conference, 2018. [Full text]

[4] U. Hertrich-Jeromin, K. Mundilova and E. Tjaden. “Channel Linear Weingarten Surfaces,” Journal of Geometry and Symmetry in Physics, vol. 40, p. 25–33, 2015. [Full text]



Theses

[3] “Gluing and Creasing Paper along Curves: Computational Methods for Analysis and Design,” PhD Thesis, MIT, 2023. [Full text]

[2] “Geometry and Interactive Design of Curved Creases,” Master Thesis, TU Wien, 2017. [Full text]

[1] “Lineare Weingarten Kanalflächen,” Bachelor Thesis, TU Wien, 2014. [Full text available on request]