Unfolding and Dissection of Multiple Cubes, Tetrahedra, and Doubly Covered Squares

Author:

Abel Zachary1,Ballinger Brad2,Demaine Erik D.3,Demaine Martin L.3,Erickson Jeff4,Hesterberg Adam3,Ito Hiro5,Kostitsyna Irina6,Lynch Jayson3,Uehara Ryuhei7

Affiliation:

1. Mathematics Department, MIT

2. Department of Mathematics, Humboldt State University

3. Computer Science and Artificial Intelligence Laboratory, MIT

4. Department of Computer Science, University of Illinois at Urbana-Champaign

5. Graduate School of Informatics and Engineering, the University of Electro-Communications

6. Computer Science Department, Université libre de Bruxelles

7. School of Information Science, Japan Advanced Institute of Science and Technology

Publisher

Information Processing Society of Japan

Subject

General Computer Science

Reference18 articles.

1. [1] Abel, Z., Ballinger, B., Demaine, E.D., Demaine, M.L., Erickson, J., Hesterberg, A., Ito, H., Kostitsyana, I., Lynch, J. and Uehara, R.: Dissection of Unfolding of Cubes and Its Generalization, The 19th Japan-Korea Joint Workshop on Algorithms and Computation (2016).

2. [2] Abel, Z., Ballinger, B., Demaine, E.D., Demaine, M.L., Erickson, J., Hesterberg, A., Ito, H., Kostitsyana, I., Lynch, J. and Uehara, R.: Unfolding and Dissection of Multiple Cubes, Japan Conference on Discrete and Computational Geometry, Graphs, and Games (2016).

3. [3] Akiyama, J. and Nara, C.: Developments of Polyhedra Using Oblique Coordinates, J. Indonesia. Math. Soc., Vol.13, No.1, pp.99-114 (2007).

4. [4] Bouwkamp, C.J.: On Benjamin's Pentomino Cube, Technical report, Eindhoven University of Technology (1997), available from <http://alexandria.tue.nl/repository/books/508061.pdf>.

5. [5] Bouwkamp, C.J.: Tiling the Surface of a Cube by 12 Identical. Pentominoes, Eut report 98-wsk-02, Eindhoven University of Technology (1998), available from <http://alexandria.tue.nl/repository/books/521176.pdf>.

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1. Research on Dissections of a Net of a Cube into Nets of Cubes;IEICE Transactions on Information and Systems;2022-03-01

2. Rep-Cubes: Dissection of a Cube into Nets;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2018-09-01

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