Year 2016,
Volume: 9 Issue: 1, 85 - 88, 30.04.2016
Norbert Hegyvári
References
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On Deterministic and Random Rolling of Polyhedra
Year 2016,
Volume: 9 Issue: 1, 85 - 88, 30.04.2016
Norbert Hegyvári
Abstract
![](data:image/png;base64,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)
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There are 5 citations in total.