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Platonic solid
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===Rupert property=== A polyhedron ''P'' is said to have the [[Rupert property]] if a polyhedron of the same or larger size and the same shape as ''P'' can pass through a hole in ''P''.<ref name="AllFive">{{cite journal | first1=Richard P. | last1=Jerrard |first2=John E. | last2=Wetzel | first3=Liping | last3 = Yuan | title = Platonic Passages | journal = Mathematics Magazine | date = April 2017 | volume = 90 | issue = 2 | pages = 87β98 | publisher = [[Mathematical Association of America]] | location = Washington, DC | doi = 10.4169/math.mag.90.2.87| s2cid=218542147 }}</ref> All five Platonic solids have this property.<ref name="AllFive" /><ref>{{citation|last=Schrek|first= D. J. E.|title=Prince Rupert's problem and its extension by Pieter Nieuwland|journal=[[Scripta Mathematica]]|volume=16|year=1950|pages=73β80 and 261β267}}</ref><ref>{{citation | last = Scriba | first = Christoph J. | issue = 9 | journal = Praxis der Mathematik | language = de | mr = 0497615 | pages = 241β246 | title = Das Problem des Prinzen Ruprecht von der Pfalz | volume = 10 | year = 1968}}</ref>
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