Triangular torus (EntityClass, 3)

From Hi.gher. Space

(Difference between revisions)

Revision as of 06:41, 25 June 2007

The triangular torus, or torapyramid, can be defined as circle # triangle. Since the torus product is not uniquely defined in this case, this makes it an immeasurable rotope. However, CSG Notation defines the triangular torus as a triangle lathed in such a way that the bases of all the triangular radial slices lie in the same plane.

Notable Trishapes
Regular:	tetrahedron • cube • octahedron • dodecahedron • icosahedron
Direct truncates:	tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate
Mesotruncates:	stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron
Snubs:	snub staurohedron • snub rhodohedron
Curved:	sphere • torus • cylinder • cone • frustum • crind

Template:Rotope Nav

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 {{Shape|Triangular torus|http://fusion-global.org/share/torapyramid.png|3|3, 3, 0|1|N/A|N/A|[[Line (shape)|E]][[Triangle|T]]Q|(I'I)|N/A|N/A|N/A|10|N/A|N/A|immeasurable}}
-The '''triangular torus''', or torapyramid, can be defined as ''circle # triangle''. Since the torus product is not uniquely defined in this case, this makes it an [[ambiguous rotope]]. However, [[CSG Notation]] defines the triangular torus as a triangle [[lathe]]d in such a way that the bases of all the triangular [[radial slice]]s lie in the same plane.
+The '''triangular torus''', or torapyramid, can be defined as ''circle # triangle''. Since the torus product is not uniquely defined in this case, this makes it an [[immeasurable rotope]]. However, [[CSG Notation]] defines the triangular torus as a triangle [[lathe]]d in such a way that the bases of all the triangular [[radial slice]]s lie in the same plane.
 {{Polyhedra}}
 {{Rotope Nav|9|10|11|<nowiki>I''</nowiki><br>Tetrahedron|(I'I)<br>Triangular torus|(II)I<br>Cylinder|hedra}}