ファイル:Flag of Samoa (construction sheet).svg

元のファイル (SVG ファイル、1,290 × 690 ピクセル、ファイルサイズ: 6キロバイト)

このファイルは、ウィキメディア・コモンズから呼び出されています。
このファイルは、他のプロジェクトで使用されている可能性があります。
このファイルの解説やノートへの記入、履歴などの詳細の確認は、ウィキメディア・コモンズのファイルページ（ノート/履歴/ログ）を使用してください。

ウィキメディア・コモンズのファイルページにある説明を、以下に表示します。

概要

解説Flag of Samoa (construction sheet).svg	English: Flag of Samoa — construction sheet
日付	2023年1月13日
原典	投稿者自身による著作物. Geometry and dimensions from Flag and National Anthem of Samoa Act 1994 1. In this prescription the hoist of the flag from top to bottom is regarded as 144 vertical units, and its breadth from side to side as 288 horizontal units. 2. Each star has its uppermost point on a vertical line through its centres. 3. Two of the stars are disposed with their centres on a vertical line bisecting the blue quarter. The top point of the upper star and bottom points of the lower star are distant 3 vertical units from the upper and lower edges of the blue quarter respectively. 4. The star nearest the staff has its top point distant 21 vertical units from the upper edge of the flag, and its nearest point distant 42 horizontal units from the edge nearest the staff. 5. The star nearest the fly has its top point distant 18 vertical units from the upper edge of the flag, and its nearest point distant 42 horizontal units from the fly edge of the blue quarter. 6. The fifth star has its bottom points distant 26 vertical units from the lower edge of the blue quarter and its nearest point distant 56 horizontal units from the fly edge of the blue quarter. 7. The star nearest the fly edge measures 15, the topmost star and the star nearest the staff 16, the lowest star 20, and the fifth star 10 vertical units measured from the point of any ray to the point of the next ray but one. — Schedule attached to Flag and National Anthem of Samoa Act 1994
作者	MapGrid

Star chart

The information in this chart is derived from the official specifications using trigonometry. Is not shown on the construction sheet because it would add too much clutter to an already cluttered drawing.

star	specified width of star $w$	radius of imaginary circle around star $r$	distance from left edge of flag to star centroid $x$	distance from bottom edge of flag to star centroid $y$
Alpha Crucis	20	$w{\sqrt {\tfrac {5-{\sqrt {5}}}{10}}}\approx 10.51462224$	$72$	$72+3+r{\tfrac {1+{\sqrt {5}}}{4}}\approx 83.50650808$
Beta Crucis	16	$w{\sqrt {\tfrac {5-{\sqrt {5}}}{10}}}\approx 8.41169779$	$42+{\tfrac {w}{2}}=50$	$144-21-r\approx 114.58830221$
Gamma Crucis	16	$w{\sqrt {\tfrac {5-{\sqrt {5}}}{10}}}\approx 8.41169779$	$72$	$144-3-r\approx 132.58830221$
Delta Crucis	15	$w{\sqrt {\tfrac {5-{\sqrt {5}}}{10}}}\approx 7.88596668$	$144-42-{\tfrac {w}{2}}=94.5$	$144-18-r\approx 118.11403332$
Epsilon Crucis	10	$w{\sqrt {\tfrac {5-{\sqrt {5}}}{10}}}\approx 5.25731112$	$144-56-{\tfrac {w}{2}}=83$	$72+26+r{\tfrac {1+{\sqrt {5}}}{4}}\approx 102.25325404$