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词汇 Octadecagon
分类 英语词汇 英语翻译词典
释义

Octadecagon

中文百科

十八边形

Octodecágono regular.

十八边形是几何学中所有有18条边及18只角的多边形。

正十八边形是有18边的正多边形。正十八边形的每个内角为160°。

正十八边形不能仅用尺规作出。以下给出一个误差为0.0005°的近似作图:

英语百科

Octadecagon 十八边形

Symmetries of a regular octadecagon. Vertices are colored by their symmetry positions. Blue mirrors are drawn through vertices, and purple mirrors are drawn through edge. Gyration orders are given in the center.

An octadecagon (or octakaidecagon) is an eighteen-sided polygon or 18-gon.

A regular octadecagon has a Schläfli symbol {18} and can be constructed as a quasiregular truncated enneagon, t{9}, which alternates two types of edges.

As 18 = 2 × 3, a regular octadecagon cannot be constructed using a compass and straightedge. However, it is constructible using neusis, or an angle trisector. The following approximate construction is very similar to that of the enneagon, as an octadecagon can be constructed as a truncated enneagon. It is also feasible with exclusive use of compass and straightedge.

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