Abstract
It has been recently discovered that oblivious iguanid lizards can form a periodic sequence of tableaux vivants with some restrictions on the tableaux. By viewing each tableau as a dance step, a formable sequence can be seen as a dance choreography, performable by the lizards. Interestingly, a complete characterization exists of the dances performable by all families of oblivious iguanid lizards except for the family of chameleons. This gap in knowledge opens the main research question addressed here: what choreographies can be danced by oblivious chameleons? We provide a full answer to this question, investigating formable tableaux, danceable choreographies as well as number of skin colours. We show that, unlike other lizards, in their feasible dances chameleons can touch and repeat steps. Also, they can do this even if they are asynchronous.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Ando, H., Suzuki, I., Yamashita, M.: Formation and agreement problems for synchronous mobile robots with limited visibility. In: Proc. of the 1995 IEEE Symp. on Intelligent Control, pp. 453–460 (1995)
Chatzigiannakis, I., Markou, M., Nikoletseas, S.: Distributed circle formation for anonymous oblivious robots. In: Proc. of 3rd Workshop on Efficient and Experimental Algorithms, pp. 159–174 (2004)
Das, S., Flocchini, P., Prencipe, G., Santoro, N., Yamashita, M.: The power of lights: Synchronizing asynchronous robots using visible bits. In: Proc. of 32nd ICDCS, pp. 506–515 (2012)
Das, S., Flocchini, P., Santoro, N., Yamashita, M.: On the computational power of oblivious robots: forming a series of geometric patterns. In: Proc. of 29th PODC, pp. 267–276 (2010)
Défago, X., Souissi, S.: Non-uniform circle formation algorithm for oblivious mobile robots with convergence toward uniformity. TCS 396(1-3), 97–112 (2008)
Dieudonné, Y., Labbani-Igbida, O., Petit, F.: Circle formation of weak mobile robots. ACM Trans. on Autonom. and Adapt. Sys. 3(4), 1–16 (2008)
Flocchini, P., Prencipe, G., Santoro, N.: Distributed Computing by Oblivious Mobile Robots. Morgan&Claypool (2012)
Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Arbitrary pattern formation by asynchronous oblivious robots. TCS 407(1-3), 412–447 (2008)
Fujinaga, N., Yamauchi, Y., Kijima, S., Yamashita, M.: Asynchronous pattern formation by anonymous oblivious mobile robots. In: Aguilera, M.K. (ed.) DISC 2012. LNCS, vol. 7611, pp. 312–325. Springer, Heidelberg (2012)
Ligon, R.A., McGraw, K.J.: Chameleons communicate with complex colour changes during contests. Biology Letters 9(6) (2013)
Sugihara, K., Suzuki, I.: Distributed algorithms for formation of geometric patterns with many mobile robots. Journal of Robotics Systems 13, 127–139 (1996)
Suzuki, I., Yamashita, M.: Distributed anonymous mobile robots: Formation of geometric patterns. SIAM Journal on Computing 28(4), 1347–1363 (1999)
Yamashita, M., Suzuki, I.: Characterizing geometric patterns formable by oblivious anonymous mobile robots. TCS 411(26-28), 2433–2453 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Das, S., Flocchini, P., Prencipe, G., Santoro, N. (2014). Synchronized Dancing of Oblivious Chameleons. In: Ferro, A., Luccio, F., Widmayer, P. (eds) Fun with Algorithms. FUN 2014. Lecture Notes in Computer Science, vol 8496. Springer, Cham. https://doi.org/10.1007/978-3-319-07890-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-07890-8_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07889-2
Online ISBN: 978-3-319-07890-8
eBook Packages: Computer ScienceComputer Science (R0)