About: Pentagonal Torus

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An Entity of Type : dbkwik:resource/NFb8hEdf4aO8B5_L5xml2w==, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

A pentagonal torus is a three-dimensional shape made from the cartesian product of a pentagon and a circle. This means that it can be constructed from stretching a pentagon into a ring shape, in the same way that a torus is made from stretching a disc into a ring shape.

Attributes	Values
rdf:type	Shapes
rdfs:label	Pentagonal Torus Pentagonal torus
rdfs:comment	A pentagonal torus is a three-dimensional shape made from the cartesian product of a pentagon and a circle. This means that it can be constructed from stretching a pentagon into a ring shape, in the same way that a torus is made from stretching a disc into a ring shape. (0,5,0,30,0,5)-deltahedron forming a pentagonal torus. Because the topology is not that of a sphere but that of a torus the relation between the number of spheres with valencies 3, 4, 5, 6, ..., (n3,n4,n5,n6,... ) is given by It is completely rigid, and highly reminiscent of Alain Lobel's frames. Counting: There are four rings: the inner ring has 5 balls, the two middle rings 10, and the outer 15, for a total of 40. Rods have additional supports between the rings, and extra 10*8=80 rods, for 120 total.
Rods	120(xsd:integer)
dcterms:subject	Shape 3 dimensional Deltahedron
PageTitle	Pentagonal Torus
cells	1(xsd:integer)
dimensionality	3(xsd:integer)
faces	5(xsd:integer)
filename	Pentagonal torus.jpg
Type	Deltahedron
dbkwik:geomag/prop...iPageUsesTemplate	dbkwik:resource/GVJoJNZVdzfd8RbMw3vdAw==
dbkwik:verse-and-d...iPageUsesTemplate	dbkwik:resource/5CeLLOJbsTI1SGZxiKlfRA==
Author	--08-15
Title	Pentagonal Torus
edges	5(xsd:integer)
Spheres	40(xsd:integer)
equivalent manifold	Torus
euler characteritic	0(xsd:integer)
abstract	A pentagonal torus is a three-dimensional shape made from the cartesian product of a pentagon and a circle. This means that it can be constructed from stretching a pentagon into a ring shape, in the same way that a torus is made from stretching a disc into a ring shape. (0,5,0,30,0,5)-deltahedron forming a pentagonal torus. Because the topology is not that of a sphere but that of a torus the relation between the number of spheres with valencies 3, 4, 5, 6, ..., (n3,n4,n5,n6,... ) is given by It is completely rigid, and highly reminiscent of Alain Lobel's frames. Counting: There are four rings: the inner ring has 5 balls, the two middle rings 10, and the outer 15, for a total of 40. Rods have additional supports between the rings, and extra 10*8=80 rods, for 120 total.

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