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Wiktionary英語版での「semiregular」の意味 |
semiregular
出典:『Wiktionary』 (2016/06/13 14:46 UTC 版)
別の表記
- semi-regular
形容詞
semiregular (not comparable)
- Somewhat regular; occasional.
- (topology, of a topological space) Whose regular open sets form a base.
- (geometry, of a polyhedron または tessellation of the plane) Uniform (isogonal かつ isotoxal) with regular faces of two or more types, such that each vertex is surrounded by the same polygons in the same order.
- 1993, H. Terrones, A. L. MacKay, The Geometry of Hypothetical Curved Graphite Structures, H. W. Kroto, J.E. Fischer, Deann Cox (editors), The Fullerenes, page 115,
- It will be seen below that this semiregular polyhedron is of importance in its relationship to periodic minimal surfaces serving as a conceptual reference.
- 1998, David A. Singer, Geometry: Plane and Fancy, page 35,
- 2003, Saul Stahl, Geometry from Euclid to Knots, 2010, page 272,
- 2011, Tom Bassarear, Mathematics for Elementary School Teachers, page 583,
- One that we will consider here is the semiregular tessellation—a tessellation of two or more regular polygons that are arranged so that the same polygons appear in the same order around each vertex point. The tessellation at the left in Figure 9.38 is a semiregular tessellation because the two figures are a square and a regular octagon. The tessellation at the right in Figure 9.38 is not a semiregular tessellation because the two figures are a square and a nonregular octagon. […] There are only eight possible semiregular tessellations.
- 1993, H. Terrones, A. L. MacKay, The Geometry of Hypothetical Curved Graphite Structures, H. W. Kroto, J.E. Fischer, Deann Cox (editors), The Fullerenes, page 115,
使用する際の注意点
In geometry, usage is sometimes inconsistent. In regard to 3-dimensional polyhedra, convexity is often implicitly assumed, and the infinite classes of prisms and antiprisms may also be omitted, leaving just the Archimedean solids. Conversely, others choose the path of inclusion, admitting figures such as certain nonconvex (but still uniform) star polyhedra, as well as the duals of all included polyhedra. (See Semiregular polyhedron on Wikipedia.)
外部リンク
- List of convex uniform tilings on Wikipedia.
- Semiregular polyhedron on Wikipedia.
- Semiregular polytope on Wikipedia.
- Semiregular space on Wikipedia.
- Semiregular Polyhedron on Wolfram MathWorld
- Semiregular Tessellation on Wolfram MathWorld
semi-regular
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