Geometry and self-righting of turtles

Proceedings of the Royal Society B: Biological Sciences

Volumn 275, Issue 1630, 2008, Pages 11-17

  Domokos, Gábor ^a   Várkonyi, Péter L ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Monostatic body; Self righting; Shell morphology; Static equilibrium

Indexed keywords

BEETLE; EVOLUTION; GEOMETRY; MORPHOLOGY; TERRESTRIAL ENVIRONMENT; TURTLE;

AQUATIC SPECIES; ARTICLE; ENERGY BALANCE; GEOMETRY; MODEL; PRIORITY JOURNAL; TERRESTRIAL SPECIES; TURTLE;

ANIMALIA; COLEOPTERA; TESTUDINES;

EID: 36349003678     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.2007.1188     Document Type: Article

References (30)

1. Acuna-Mesen, R. A. 1994 Morphometric variation and ecologic characteristics of the habitat of the Kinosternon scorpioides turtle in Costa Rica (Chelonia, Kinosternidae). Rev. Bras. Biol. 54, 537-547. [In Portuguese.]
2. Ashe, V. M. 1970 The righting reflex in turtles: a description and comparison. Psychon. Sci. 20, 150-152.
3. Ashmore, G. M. & Janzen, F. 2003 Phenotypic variation in smooth softshell turtles (Apalone mutica) from eggs incubated in constant versus fluctuating temperatures. Oecologia 134, 182-188.
4. Bonnet, X. et al. 2001 Sexual dimorphism in steppe tortoises (Testudo horsfieldii): influence of the environment and sexual selection on body shape and mobility. Biol. J. Linn. Soc. 72, 357-372. (doi:10.1006/bijl.2000.0504)
5. Burger, J., Carruth-Hinchey, C., Ondroff, J., McMahon, M., Gibbons, J. W. & Gochfeld, M. 1998 Effects of lead on behaviour, growth, and survival of hatchling slider turtles. J. Toxicol. Environ. Health A 55, 495-502. (doi:10.1080/009841098158296)
6. Carr, A. F. 1952 Handbook of turtles. The turtles of the United States, Canada, and Baja California. Ithaca, NY: Cornell University Press.
7. Claude, J., Paradis, E., Tong, H. & Auffray, J.-C. 2003 A geometric morphometric assessment of the effects of environment and cladogenesis on the evolution of the turtle shell. Biol. J. Linn. Soc. 79, 485-501. (doi:10.1046/j.1095-8312.2003.00198.x)
8. Conway, J. & Guy, R. 1969 Stability of polyhedra. SIAM Rev. 11, 78-82. (doi:10.1137/1011014)
9. Dawson, R. & Finbow, W. 1999 What shape is a loaded die? Math. Intelligencer 22, 32-37.
10. Domokos, G. 2006 My lunch with Arnold. Math. Intelligencer 28, 31-33.
11. Domokos, G., Papadopoulos, J. & Ruina, A. 1994 Static equilibria of planar, rigid bodies: is there anything new? J. Elasticity 36, 59-66. (doi:10.1007/BF00042491)
12. Elnitsky, M. A. & Claussen, D. L. 2006 The effects of temperature and inter-individual variation on the locomotor performance of juvenile turtles. J. Comp. Physiol. B 176, 497-504. (doi:10.1007/s00360-006-0071-1)
13. Faisal, A. A. & Matheson, T. 2001 Coordinated righting behaviour in locusts. J. Exp. Biol. 204, 637-648.
14. Frantsevich, L. 2004 Righting kinematics in beetles (Insecta: Coleoptera). Arthropod Struct. Dev. 33, 221-236. (doi:10.1016/j.asd.2004.05.007)
15. Frantsevich, L. I. & Mokrushov, P. A. 1980 Turning and righting in geotrupes (Coleoptera, Scarabaeidae). J. Comp. Physiol. 136, 279-289. (doi:10.1007/BF00657348)
16. Freedberg, S., Stumpf, A. L., Ewert, M. A. & Nelson, C. E. 2004 Developmental environment has long-lasting effects on behavioural performance in two turtles with environmental sex determination. Evol. Ecol. Res. 6, 739-747.
17. Highfield, A. C. 1989 Notes on dietary constituents for herbivorous terrestrial chelonian and their effects on growth and development. ASRA (UK) J. 3, 7-20.
18. Mann, G. K. H., O'Riain, M. J. & Hofmeyr, M. D. 2006 Shaping up to fight: sexual selection influences body shape and size in the fighting tortoise (Chersina angulata). J. Zool. 269, 373-379. (doi:10.1111/j.1469- 7998.2006.00079.x)
19. Myers, E. M., Janzen, F. J., Adams, D. C. & Tucker, J. K. 2006 Quantitative genetics of plastron shape in slider turtles (Trachemys scripta). Evolution 60, 563-572.
20. Pritchard, P. C. H. 1979 Encyclopedia of turtles. Neptune, NJ: TFH Publications.
21. Rivera, A. R. V., Rivera, G. & Blob, R. W. 2004 Kinematics of the righting response in inverted turtles. J. Morphol. 260, 322.
22. Rouault, J. & Blanc, C. P. 1978 Notes on the reptiles of Tunisia. V. Biometric characteristics of Mauremys caspica leprosa (Schweigger, 1812), in French. Arch. Inst. Pasteur Tunis. 55, 337-357.
23. Stancher, G., Clara, E., Regolin, L. & Vallortigara, G. 2006 Lateralized righting behaviour in the tortoise (Testudo hermanni). Behav. Brain Res. 173, 315-319. (doi:10.1016/j.bbr.2006.06.023)
24. Steyermark, A. C. & Spotila, J. R. 2001 Maternal identity and egg incubation temperature effects on snapping turtle (Chelydra serpentina) righting response. Copeia 4, 1050-1057. (doi:10.1643/0045- 8511(2001)001[1050:BTAMIA]2.0.CO;2)
25. Uhrin, A. V., Slade, C. L. & Holmquist, J. G. 2005 Self righting in the free-living coral Manicina areolata (Cnidaria: Scleractinia): morphological constraints. Caribb. J. Sci. 41, 277-282.
26. Várkonyi, P. L. & Domokos, G. 2006a Static equilibria of rigid bodies: dice, pebbles and the Poincaré-Hopf theorem. J. Nonlin. Sci. 16, 255-281. (doi:10.1007/s00332-005-0691-8)
27. Várkonyi, P. L. & Domokos, G. 2006b Mono-monostatic bodies: the answer to Arnold's question. Math. Intelligencer 28, 34-38.
28. Wassersug, R. & Izumi-Kurotani, A. 1993 The behavioral reactions of a snake and a turtle to abrupt decreases in gravity. Zool. Sci. 10, 505-509.
29. Wiesner, C. S. & Iben, C. 2003 Influence of environmental humidity and dietary protein on pyramidal growth of carapaces in African spurred tortoises (Geochelone sulcata). J. Anim. Phys. Anim. Nutr. 87, 66-74. (doi:10.1046/j.1439-0396.2003.00411.x)
30. Willemsen, R. E. & Hailey, A. 2003 Sexual dimorphism of body size and shell shape in European tortoises. J. Zool. Lond. 260, 353-365. (doi:10.1017/S0952836903003820)