About: Prismatic compound of antiprisms with rotational freedom

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Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry. It arises from superimposing two copies of the corresponding prismatic compound of antiprisms (without rotational freedom), and rotating each copy by an equal and opposite angle. This infinite family can be enumerated as follows: Where p/q=2 the component is a tetrahedron, sometimes not considered a true antiprism.

Attributes	Values
rdf:type	musical work yago:Abstraction100002137 yago:Cognition100023271 yago:Compound105870180 yago:Concept105835747 yago:Content105809192 yago:Idea105833840 yago:PsychologicalFeature100023100 yago:Whole105869584 yago:WikicatPolyhedralCompounds
rdfs:label	Prisma kombinaĵo de kontraŭprismoj kun turna libereco (eo) Prismatic compound of antiprisms with rotational freedom (en)
rdfs:comment	En geometrio, prisma kombinaĵo de kontraŭprismoj kun turna libereco estas uniforma pluredra kombinaĵo, simetria ordigo de uniformaj kontraŭprismoj komunigantaj la akson de turna simetrio. Ĝi povas esti konstruita per kunmeto de du kopioj de la respektiva prisma kombinaĵo de kontraŭprismoj (sen turna libereco), kaj turno de ĉiu kopio per egala kaj kontraŭa angulo. Estas malfinia familio de prismaj kombinaĵoj de kontraŭprismoj kun turna libereco. * D(np)d se nq estas nepara * D(np)h se nq estas para (eo) Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry. It arises from superimposing two copies of the corresponding prismatic compound of antiprisms (without rotational freedom), and rotating each copy by an equal and opposite angle. This infinite family can be enumerated as follows: Where p/q=2 the component is a tetrahedron, sometimes not considered a true antiprism. (en)
dcterms:subject	Polyhedral compounds
Wikipage page ID	14890505 (xsd:integer)
Wikipage revision ID	1088011031 (xsd:integer)
Link from a Wikipage to another Wikipage	Prismatic uniform polyhedron Uniform polyhedron compound Polyhedral compounds Subgroup Symmetry group Triangles Prismatic compound of antiprisms Dihedral symmetry in three dimensions Tetrahedron Coprime Cyclic symmetries
sameAs	Prismatic compound of antiprisms with rotational freedom Prismatic compound of antiprisms with rotational freedom Prismatic compound of antiprisms with rotational freedom Prismatic compound of antiprisms with rotational freedom Prismatic compound of antiprisms with rotational freedom
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Short_description dbt:Polyhedron-stub
has abstract	En geometrio, prisma kombinaĵo de kontraŭprismoj kun turna libereco estas uniforma pluredra kombinaĵo, simetria ordigo de uniformaj kontraŭprismoj komunigantaj la akson de turna simetrio. Ĝi povas esti konstruita per kunmeto de du kopioj de la respektiva prisma kombinaĵo de kontraŭprismoj (sen turna libereco), kaj turno de ĉiu kopio per egala kaj kontraŭa angulo. Estas malfinia familio de prismaj kombinaĵoj de kontraŭprismoj kun turna libereco. Por ĉiu pozitiva entjero n>0 kaj por ĉiu racionala nombro p/q>3/2 kaj p/q≠2, ekzistas kombinaĵo de 2n p/q-lateraj kontraŭprismoj kun turna libereco, kun geometria simetria grupo: * D(np)d se nq estas nepara * D(np)h se nq estas para Se p=2 kaj q=1, ĉi tio estas la kombinaĵo de 2n kvaredroj konsiderataj kiel degeneraj kontraŭprismoj. (eo) Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry. It arises from superimposing two copies of the corresponding prismatic compound of antiprisms (without rotational freedom), and rotating each copy by an equal and opposite angle. This infinite family can be enumerated as follows: * For each positive integer n>0 and for each rational number p/q>3/2 (expressed with p and q coprime), there occurs the compound of 2n p/q-gonal antiprisms (with rotational freedom), with symmetry group: * Dnpd if nq is odd * Dnph if nq is even Where p/q=2 the component is a tetrahedron, sometimes not considered a true antiprism. (en)
gold:hypernym	Arrangement
prov:wasDerivedFrom	wikipedia-en:Prismatic_compound_of_antiprisms_with_rotational_freedom?oldid=1088011031&ns=0
page length (characters) of wiki page	2448 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Prismatic_compound_of_antiprisms_with_rotational_freedom
is Link from a Wikipage to another Wikipage of	Uniform polyhedron compound List of mathematical shapes List of polygons, polyhedra and polytopes
is foaf:primaryTopic of	wikipedia-en:Prismatic_compound_of_antiprisms_with_rotational_freedom

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