The use of (symmetry) group theory as a predictive tool for studying bimanual coordination

Genna M. Mulvey, Polemnia Amazeen, Michael A. Riley

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Symmetry groups-rules that connect different configurations of a given set of components-represent a compact means of coding for effects, a feature that is desirable in both model- and theory-building. The present study was designed to compare the effects of spatial orientation differences with the various other asymmetries (e.g., timing differences, handedness preferences, the direction of attention) that are accommodated by current models of bimanual coordination. The authors used symmetry groups to predict specific patterns of results. In 2 experiments, participants (N = 13, Experiment 1; N = 9, Experiment 2) coordinated the movements of differently oriented (1 downward and 1 upward) pendulum pairs at a low (0.62 Hz) or high (0.82 Hz) movement frequency to establish an in-phase or antiphase pattern. Consistent with previous results (P. G. Amazeen, E. L. Amazeen, & M. T. Turvey, 1998a), the downward-oriented pendulum tended to lead slightly. In contrast to the effects of other bimanual asymmetries, the downward-oriented pendulum lead was amplified at low frequencies. Although the results contradicted the predictions of existing models of bimanual coordination, they were consistent with predictions from symmetry group theory. In the discussion, the authors focus on the application of symmetry groups to both bimanual coordination and other phenomena with more complex symmetric structures.

Original languageEnglish (US)
Pages (from-to)295-309
Number of pages15
JournalJournal of Motor Behavior
Volume37
Issue number4
DOIs
StatePublished - Jul 2005

Fingerprint

Functional Laterality
Lead
Direction compound

Keywords

  • Asymmetry
  • Bimanual coordination
  • Movement frequency
  • Reflection
  • Spatial orientation
  • Symmetry

ASJC Scopus subject areas

  • Orthopedics and Sports Medicine
  • Physical Therapy, Sports Therapy and Rehabilitation
  • Neuroscience(all)
  • Psychology(all)
  • Experimental and Cognitive Psychology

Cite this

The use of (symmetry) group theory as a predictive tool for studying bimanual coordination. / Mulvey, Genna M.; Amazeen, Polemnia; Riley, Michael A.

In: Journal of Motor Behavior, Vol. 37, No. 4, 07.2005, p. 295-309.

Research output: Contribution to journalArticle

@article{1830a2cc75d2409f90605d750e35b29e,
title = "The use of (symmetry) group theory as a predictive tool for studying bimanual coordination",
abstract = "Symmetry groups-rules that connect different configurations of a given set of components-represent a compact means of coding for effects, a feature that is desirable in both model- and theory-building. The present study was designed to compare the effects of spatial orientation differences with the various other asymmetries (e.g., timing differences, handedness preferences, the direction of attention) that are accommodated by current models of bimanual coordination. The authors used symmetry groups to predict specific patterns of results. In 2 experiments, participants (N = 13, Experiment 1; N = 9, Experiment 2) coordinated the movements of differently oriented (1 downward and 1 upward) pendulum pairs at a low (0.62 Hz) or high (0.82 Hz) movement frequency to establish an in-phase or antiphase pattern. Consistent with previous results (P. G. Amazeen, E. L. Amazeen, & M. T. Turvey, 1998a), the downward-oriented pendulum tended to lead slightly. In contrast to the effects of other bimanual asymmetries, the downward-oriented pendulum lead was amplified at low frequencies. Although the results contradicted the predictions of existing models of bimanual coordination, they were consistent with predictions from symmetry group theory. In the discussion, the authors focus on the application of symmetry groups to both bimanual coordination and other phenomena with more complex symmetric structures.",
keywords = "Asymmetry, Bimanual coordination, Movement frequency, Reflection, Spatial orientation, Symmetry",
author = "Mulvey, {Genna M.} and Polemnia Amazeen and Riley, {Michael A.}",
year = "2005",
month = "7",
doi = "10.3200/JMBR.37.4.295-310",
language = "English (US)",
volume = "37",
pages = "295--309",
journal = "Journal of Motor Behavior",
issn = "0022-2895",
publisher = "Routledge",
number = "4",

}

TY - JOUR

T1 - The use of (symmetry) group theory as a predictive tool for studying bimanual coordination

AU - Mulvey, Genna M.

AU - Amazeen, Polemnia

AU - Riley, Michael A.

PY - 2005/7

Y1 - 2005/7

N2 - Symmetry groups-rules that connect different configurations of a given set of components-represent a compact means of coding for effects, a feature that is desirable in both model- and theory-building. The present study was designed to compare the effects of spatial orientation differences with the various other asymmetries (e.g., timing differences, handedness preferences, the direction of attention) that are accommodated by current models of bimanual coordination. The authors used symmetry groups to predict specific patterns of results. In 2 experiments, participants (N = 13, Experiment 1; N = 9, Experiment 2) coordinated the movements of differently oriented (1 downward and 1 upward) pendulum pairs at a low (0.62 Hz) or high (0.82 Hz) movement frequency to establish an in-phase or antiphase pattern. Consistent with previous results (P. G. Amazeen, E. L. Amazeen, & M. T. Turvey, 1998a), the downward-oriented pendulum tended to lead slightly. In contrast to the effects of other bimanual asymmetries, the downward-oriented pendulum lead was amplified at low frequencies. Although the results contradicted the predictions of existing models of bimanual coordination, they were consistent with predictions from symmetry group theory. In the discussion, the authors focus on the application of symmetry groups to both bimanual coordination and other phenomena with more complex symmetric structures.

AB - Symmetry groups-rules that connect different configurations of a given set of components-represent a compact means of coding for effects, a feature that is desirable in both model- and theory-building. The present study was designed to compare the effects of spatial orientation differences with the various other asymmetries (e.g., timing differences, handedness preferences, the direction of attention) that are accommodated by current models of bimanual coordination. The authors used symmetry groups to predict specific patterns of results. In 2 experiments, participants (N = 13, Experiment 1; N = 9, Experiment 2) coordinated the movements of differently oriented (1 downward and 1 upward) pendulum pairs at a low (0.62 Hz) or high (0.82 Hz) movement frequency to establish an in-phase or antiphase pattern. Consistent with previous results (P. G. Amazeen, E. L. Amazeen, & M. T. Turvey, 1998a), the downward-oriented pendulum tended to lead slightly. In contrast to the effects of other bimanual asymmetries, the downward-oriented pendulum lead was amplified at low frequencies. Although the results contradicted the predictions of existing models of bimanual coordination, they were consistent with predictions from symmetry group theory. In the discussion, the authors focus on the application of symmetry groups to both bimanual coordination and other phenomena with more complex symmetric structures.

KW - Asymmetry

KW - Bimanual coordination

KW - Movement frequency

KW - Reflection

KW - Spatial orientation

KW - Symmetry

UR - http://www.scopus.com/inward/record.url?scp=20444477481&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20444477481&partnerID=8YFLogxK

U2 - 10.3200/JMBR.37.4.295-310

DO - 10.3200/JMBR.37.4.295-310

M3 - Article

VL - 37

SP - 295

EP - 309

JO - Journal of Motor Behavior

JF - Journal of Motor Behavior

SN - 0022-2895

IS - 4

ER -