Triangular torus (EntityClass, 3)
From Hi.gher. Space
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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. | 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. | ||
| - | {{ | + | {{Trishapes}} |
{{Rotope Nav|9|10|11|<nowiki>I''</nowiki><br>Tetrahedron|(I'I)<br>Triangular torus|(II)I<br>Cylinder|hedra}} | {{Rotope Nav|9|10|11|<nowiki>I''</nowiki><br>Tetrahedron|(I'I)<br>Triangular torus|(II)I<br>Cylinder|hedra}} | ||
Revision as of 20:15, 17 August 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 |
