WordNet

understand; "He didnt figure her"
a combination of points and lines and planes that form a visible palpable shape
an amount of money expressed numerically; "a figure of $17 was suggested"
a model of a bodily form (especially of a person); "he made a figure of Santa Claus"
a predetermined set of movements in dancing or skating; "she made the best score on compulsory figures"
the impression produced by a person; "he cut a fine figure"; "a heroic figure"
a diagram or picture illustrating textual material; "the area covered can be seen from Figure 2" (同)fig
a unitary percept having structure and coherence that is the object of attention and that stands out against a ground
be or play a part of or in; "Elections figure prominently in every government program"; "How do the elections figure in the current pattern of internal politics?" (同)enter
feature as the star; "The movie stars Dustin Hoffman as an autistic man"
a plane figure with 5 or more points; often used as an emblem
an actor who plays a principal role (同)principal, lead
(astronomy) a celestial body of hot gases that radiates energy derived from thermonuclear reactions in the interior
any celestial body visible (as a point of light) from the Earth at night
mark with an asterisk; "Linguists star unacceptable sentences" (同)asterisk
be the star in a performance
(of e.g. fabric design) adorned with patterns; "my dress is richly figured"- Amy Lowell

PrepTutorEJDIC

〈C〉『数字』,(特に)アラビア数字;数量,価格 / 《複数形で》計算,算数 / 〈C〉『姿』,容姿,目立つ姿 / 〈C〉《修飾語句を伴って》(…の)『人』;(…の)名士,大物 / 〈C〉(絵画・彫刻などの)人物像,肖像 / 〈U〉〈C〉形,形状 / 〈C〉『図』図形;模様,図案 / 〈C〉(…の)印,象徴,典型《+『of』+『名』》 / 〈C〉=figure of speech / 〈C〉(ダンス・スケートの)フィギュア / …‘を'計算する;…‘を'合計する《+『up』+『名,』+『名』+『up』》 / 《おもに米話》…‘を'考える / …‘を'(…の)図形に表す,(…の)模様で飾る《+『名』+『with』+『名』》 / (…で)目立つ,異彩を放つ《+『in』+『名』》
『星』;恒(fixed star) / 『星形のもの』;星章,星標(*)(asterisk) / 『スター』,花形 / (人の運勢を左右するといわれる)運星;《しばしば複数形で》運勢,運,星回り / (星印で示した)等級 / 《文》実現不可能な逆標(願望) / 星の / 花形の,主役の;卓越した,すぐれた / …を星(星形の物)で飾る;…‘に'星印をつける;(…を)…‘に'のようにちりばめる《+『名』+『with』+『名』》 / …‘を'主役にする / 主役を務める,主演する
模様入りの,図柄のはいった
(色・模様などが)ひどく目立つ,けばけばしい

Wikipedia preview

出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2016/12/14 17:01:45」(JST)

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Regular polygrams {n/d}, with red lines showing constant d, and blue lines showing compound sequences k{n/d}

In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides, so a regular pentagram, {5/2}, has 5 sides, and the regular hexagram, {6/2} or 2{3} has 6 sides divided into two triangles.

A regular polygram {p/q} can either be in a set of regular polygons (for gcd(p,q)=1, q>1) or in a set of regular polygon compounds (if gcd(p,q)>1).^[1]

Etymology

The polygram names combine a numeral prefix, such as penta-, with the Greek suffix -gram (in this case generating the word pentagram). The prefix is normally a Greek cardinal, but synonyms using other prefixes exist. The -gram suffix derives from γραμμῆς (grammos) meaning a line.^[2]

Generalized regular polygons

A regular polygram, as a general regular polygon, is denoted by its Schläfli symbol {p/q}, where p and q are relatively prime (they share no factors) and q ≥ 2. For integers p and q, it can be considered as being constructed by connecting every qth point out of p points regularly spaced in a circular placement.^[3]^[4]

{5/2}	{7/2}	{7/3}	{8/3}	{9/2}	{9/4}	{10/3}...

Regular compound polygons

In other cases where n and m have a common factor, a polygram is interpreted as a lower polygon, {n/k,m/k}, with k = gcd(n,m), and rotated copies are combined as a compound polygon. These figures are called regular compound polygons.

Some regular polygon compounds
Triangles...			Squares...		Pentagons...	Pentagrams...
{6/2}=2{3}	{9/3}=3{3}	{12/4}=4{3}	{8/2}=2{4}	{12/3}=3{4}	{10/2}=2{5}	{10/4}=2{5/2}	{15/6}=3{5/2}

References

^ Weisstein, Eric W. "Polygram". MathWorld.
^ γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
^ Coxeter, Harold Scott Macdonald (1973). Regular polytopes. Courier Dover Publications. p. 93. ISBN 978-0-486-61480-9.
^ Weisstein, Eric W. "Polygram". MathWorld.

Cromwell, P.; Polyhedra, CUP, Hbk. 1997, ISBN 0-521-66432-2. Pbk. (1999), ISBN 0-521-66405-5. p. 175
Grünbaum, B. and G.C. Shephard; Tilings and Patterns, New York: W. H. Freeman & Co., (1987), ISBN 0-7167-1193-1.
Grünbaum, B.; Polyhedra with Hollow Faces, Proc of NATO-ASI Conference on Polytopes ... etc. (Toronto 1993), ed T. Bisztriczky et al., Kluwer Academic (1994) pp. 43–70.
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26. pp. 404: Regular star-polytopes Dimension 2)
Robert Lachlan, An Elementary Treatise on Modern Pure Geometry. London: Macmillan, 1893, p. 83 polygrams.
Branko Grünbaum, Metamorphoses of polygons, published in The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History, (1994)

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Related Pictures

★リンクテーブル★

リンク元	「星状斑」
関連記事	「figure」「star」「STAR」

「星状斑」

　　[★]

英: macular star, star figure
関: 硬性白斑、黄斑

「figure」

　　[★]

n

図、形、(木材)杢

関: appearance、diagram、drawing、fig、form、plate、plot、shape

「star」

　　[★]

n.

星

関: astronomy、galaxy

「STAR」

　　[★]

関: steroidogenic acute regulatory protein

[1] Weisstein, Eric W. "Polygram". MathWorld.

[2] γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus

[3] Coxeter, Harold Scott Macdonald (1973). Regular polytopes. Courier Dover Publications. p. 93. ISBN 978-0-486-61480-9.

[4] Weisstein, Eric W. "Polygram". MathWorld.

v t e Regular polygons

Listed by number of sides

1–10 sides	Monogon Digon Equilateral triangle Square Pentagon Hexagon Heptagon Octagon Nonagon (Enneagon) Decagon

11–20 sides	Hendecagon Dodecagon Tridecagon Tetradecagon Pentadecagon Hexadecagon Heptadecagon Octadecagon Enneadecagon Icosagon

21–100 sides (selected)	Icositetragon (24) Triacontagon (30) Triacontadigon (32) Tetracontagon (40) Tetracontadigon (42) Tetracontaoctagon (48) Pentacontagon (50) Hexacontagon (60) Hexacontatetragon (64) Heptacontagon (70) Octacontagon (80) Enneacontagon (90) Enneacontahexagon (96) Hectogon (100)

>100 sides	120-gon 257-gon 360-gon Chiliagon (1,000) Myriagon (10,000) 65537-gon Megagon (1,000,000) Apeirogon (∞)

Star polygons (5–12 sides)	Pentagram Hexagram Heptagram Octagram Enneagram Decagram Hendecagram Dodecagram

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star figure