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Topic: Bilunabirotunda

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Triangle

	The Bilunabirotunda by Marcus the Marinite in the Nexus Network Journal vol. 6 no. 1 (Spring 2004)
		Part of the Bilunabirotunda's beauty is that it uses the same three geometric shapes that are found in the five Platonic Solids: the equilateral triangle, the square, and the regular pentagon.
		At first glance, the bilunabirotunda appears to be a dodecahedron from this view; however, because of the presence of the squares, I believe that this form would be more viable as an architectural reality than the dodecahedron would be.
		Although there is a cube in the core of the dodecahedron, the cube is not in parallel alignment with the form's pentagonal faces, nor are the edges.
	www.univie.ac.at /EMIS/journals/NNJ/GA-v6n1.html (895 words)

	Toroids1
		The ultimate toroid in this class is K3 / 4Q3(S3) "with genus p=3 and a minimal number of faces" [30]
		One of Stewart's more remarkable discoveries was this drilling of the Johnson Solid: bilunabirotunda by a non-convex polyhedron he names only 'Z4'.
		The Z4 itself was obtained by sectioning a bilunabirotunda.
	web.ukonline.co.uk /polyhedra/toroids/toroids2.html (598 words)

	Geofix (Geoshapes)
		Didax sells a miniature Geofix set as well as some different Geofix kits than The Construction Site, but at considerably higher prices.
		Above is a bilunabirotunda (one of the Johnson solids), made with four pentagons, two squares, and eight triangles.
		More complex shapes can be constructed as flat "nets" of polygons and then assembled into the three-dimensional shape, such as the Great Rhombicosi dodecahedron in the two pictures below, which looks rather like a huge colorful soap bubble (note cat behind the assembled shape, for scale):
	www.pburch.net /toys/B1915068958/C1403008345/E739038067/index.html (382 words)

	GEOMAG constructions: Construction of the reinforced rhombicosidodecahedron, method 2
		So, there will not be any panel at the surface, that is, all of its faces will be hollow.
		The internal structure is made of six pieces like that shown in the following picture (Johnson solid number 91, called bilunabirotunda), each one of them stabilized with four pentagons.
		Neither square (the silver, upper one, or the lower, green one) need stabilization with a panel, as they will be rigid when construction is completed.
	textodigital.com /P/GG/brrid2.php (442 words)

	polyhedra.org: Bilunabirotunda
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		The Bilunabirotunda has 14 vertices, 14 faces and 26 edges.
		(A total of 9 polyhedra in our database have 14 faces) The Bilunabirotunda contains 8 triangles, 2 quadrilaterals and 4 pentagons.The Bilunabirotunda is the 91th Johnson Solid.
	www.polyhedra.org /poly/show/135/bilunabirotunda (102 words)

	Bilunabirotunda - Art History Online Reference and Guide
		Bilunabirotunda - Art History Online Reference and Guide
		In geometry, the Bilunabirotunda is one of the Johnson solids (J
		It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids.
	www.arthistoryclub.com /art_history/Bilunabirotunda (77 words)

	Stella's Polyhedral Glossary
		There are 92 such models, labelled J1 to J92.
		Two examples are the snub disphenoid (J84) and the bilunabirotunda (J91).
		When stellating a polyhedron, cells form layers from the centre outwards.
	web.aanet.com.au /robertw/Glossary.html (5530 words)

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