About: First stellation of the rhombic dodecahedron

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In geometry, the first stellation of the rhombic dodecahedron is a self-intersecting polyhedron with 12 faces, each of which is a non-convex hexagon.It is a stellation of the rhombic dodecahedron and has the same outer shell and the same visual appearance as two other shapes: a solid, Escher's solid, with 48 triangular faces, and a polyhedral compound of three flattened octahedra with 24 overlapping triangular faces. Escher's solid can tessellate space to form the stellated rhombic dodecahedral honeycomb.

Attributes	Values
rdfs:label	First stellation of the rhombic dodecahedron (en) Poliedro di Escher (it) 星形四角化菱形十二面體 (zh)
rdfs:comment	In geometry, the first stellation of the rhombic dodecahedron is a self-intersecting polyhedron with 12 faces, each of which is a non-convex hexagon.It is a stellation of the rhombic dodecahedron and has the same outer shell and the same visual appearance as two other shapes: a solid, Escher's solid, with 48 triangular faces, and a polyhedral compound of three flattened octahedra with 24 overlapping triangular faces. Escher's solid can tessellate space to form the stellated rhombic dodecahedral honeycomb. (en) Il poliedro di Escher è uno dei due solidi che compaiono nella litografia - dell'incisore e pittore olandese Maurits Escher. In geometria solida è detto dodecaedro rombico stellato ed è un poliedro composto da tre ottaedri non regolari, aventi i vertici sui punti medi delle facce e degli spigoli di un cubo. (it) 在幾何學中，星形四角化菱形十二面體又稱為第一種星形菱形十二面體（First stellation of rhombic dodecahedron），是一種星形菱形十二面體，菱形十二面體的星形化體之一，也是空間填充多面體之一。在藝術領域中，這種形狀又稱為艾雪立體（Escher's Solid），出現於莫里茲·柯尼利斯·艾雪的作品《瀑布》和一個研究艾雪作品《群星》的研究中。 (zh)
foaf:depiction
dcterms:subject	Space-filling polyhedra Stellation diagrams M. C. Escher
Wikipage page ID	39350444 (xsd:integer)
Wikipage revision ID	1021665919 (xsd:integer)
Link from a Wikipage to another Wikipage	Rhombic dodecahedron Rhombus Space-filling polyhedra Cuboctahedron Polyhedron Geometry M. C. Escher Compound of three octahedra Stellation diagrams Simple polygon Stars (M. C. Escher) Dissection puzzle Isohedral figure Tessellation Polyhedral compound M. C. Escher Yoshimoto Cube Octahedron Waterfall (M. C. Escher) Euler characteristic Stellated rhombic dodecahedral honeycomb Stellation Edge-transitive Vertex-transitive dbr:File:First_rhombic_dodecahedron_stellation.stl
Link from a Wikipage to an external page	http://www.georgehart.com/virtual-polyhedra/stellations-info.html
sameAs	First stellation of the rhombic dodecahedron First stellation of the rhombic dodecahedron First stellation of the rhombic dodecahedron First stellation of the rhombic dodecahedron First stellation of the rhombic dodecahedron First stellation of the rhombic dodecahedron
dbp:wikiPageUsesTemplate	dbt:Mathworld dbt:Reflist dbt:Float_right_clear_none
thumbnail	wiki-commons:Special:FilePath/Three_flattened_octahedra_compound.png?width=300
title	First stellation of rhombic dodecahedron (en)
urlname	EschersSolid (en)
has abstract	In geometry, the first stellation of the rhombic dodecahedron is a self-intersecting polyhedron with 12 faces, each of which is a non-convex hexagon.It is a stellation of the rhombic dodecahedron and has the same outer shell and the same visual appearance as two other shapes: a solid, Escher's solid, with 48 triangular faces, and a polyhedral compound of three flattened octahedra with 24 overlapping triangular faces. Escher's solid can tessellate space to form the stellated rhombic dodecahedral honeycomb. (en) Il poliedro di Escher è uno dei due solidi che compaiono nella litografia - dell'incisore e pittore olandese Maurits Escher. In geometria solida è detto dodecaedro rombico stellato ed è un poliedro composto da tre ottaedri non regolari, aventi i vertici sui punti medi delle facce e degli spigoli di un cubo. (it) 在幾何學中，星形四角化菱形十二面體又稱為第一種星形菱形十二面體（First stellation of rhombic dodecahedron），是一種星形菱形十二面體，菱形十二面體的星形化體之一，也是空間填充多面體之一。在藝術領域中，這種形狀又稱為艾雪立體（Escher's Solid），出現於莫里茲·柯尼利斯·艾雪的作品《瀑布》和一個研究艾雪作品《群星》的研究中。 (zh)
prov:wasDerivedFrom	wikipedia-en:First_stellation_of_the_rhombic_dodecahedron?oldid=1021665919&ns=0
page length (characters) of wiki page	7174 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:First_stellation_of_the_rhombic_dodecahedron
is Link from a Wikipage to another Wikipage of	First stellation of rhombic dodecahedron Stellated rhombic dodecahedron Escher's solid
is Wikipage redirect of	First stellation of rhombic dodecahedron Stellated rhombic dodecahedron Escher's solid
is foaf:primaryTopic of	wikipedia-en:First_stellation_of_the_rhombic_dodecahedron

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