This is a Quality image. Click here for more information.

File:Flag of Canada (construction sheet - leaf geometry).svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (SVG file, nominally 1,400 × 728 pixels, file size: 17 KB)

Captions

Captions

Flag of Canada (construction sheet with full maple leaf geometry)

Summary

[edit]
Description
English: Construction sheet for the flag of Canada with an unofficial (but highly accurate) mathematical representation of the maple leaf.


The government of Canada has never provided a mathematical or geometric description of the maple leaf on the Canadian flag.
Two government drawings of the flag exist:

  • An official hand drawn design drawing from 1964 complete with grid overlay. It has a few minor asymmetry errors.
  • A modern looking vector image created with aid of a computer; it is basically a tracing of the 1964 drawing with asymmetry corrections applied.


The diagram on this construction sheet is based on careful measurements taken from an image of the 1964 drawing as it appears in CAN/CGSB-98.1-2003; corrections have been applied to remove asymmetries. The result is very close to the government vector image which can be found in CAN/CGSB-98.1-2018.

The maple leaf can be drawn with 25 line segments and 12 minor arcs. Bézier curves are not required. Each line segment (except for the one on the bottom of the stem) is connected to one end of a minor arc. The line segments are tangent to their connected arcs such that each transition from line segment to arc forms a mathematically smooth path.

The full mathematical representation uses a 1920×960 grid and a standard Cartesian coordinate system. The following are defined:

  • Grid coordinates for all eleven points on the leaf.
  • Grid coordinates for the two points that lay at the bottom of the stem.
  • Angles of 24 line segments expressed in whole degrees and measured CCW from the X-axis.
  • Arc radii for all 12 arcs expressed in grid units.

The following can be derived using trigonometry:

  • Coordinates of the points of tangency (these are the points where the line segments and arcs meet).
  • Coordinates of the arc centrepoints (not required by SVG paths but may be useful for other purposes).
  • Arc central angles (not required by SVG paths but may be useful for other purposes)
For anybody not wishing to do the math themselves, the coordinates for the points of tangency and the centrepoints have been calculated and are displayed in the side panels with rounding to 3 decimal places.
Français : Feuille de construction pour le drapeau du Canada avec une représentation mathématique non officielle (mais très précise) de la feuille d'érable.


Le gouvernement du Canada n'a jamais fourni de description mathématique ou géométrique de la feuille d'érable sur le drapeau canadien.
Deux dessins gouvernementaux du drapeau existent:

  • Un dessin de conception officiel dessiné à la main de 1964 avec superposition de grille. Il a quelques erreurs d'asymétrie mineures.
  • Une image vectorielle d'aspect moderne créée à l'aide d'un ordinateur ; il s'agit essentiellement d'un calque du dessin de 1964 avec des corrections d'asymétrie appliquées.


Le schéma de cette feuille de construction est basé sur des mesures minutieuses prises à partir d'une image du dessin de 1964 tel qu'il apparaît dans la norme CAN/CGSB-98.1-2003; des corrections ont été appliquées pour éliminer les asymétries. Le résultat est très proche de l'image vectorielle du gouvernement qui se trouve dans CAN/CGSB-98.1-2018.
Date
Source Own work. Very careful measurements taken from an image of the official 1964 drawing of the Canadian flag
Author MapGrid
Other versions
SVG development
InfoField
 
The SVG code is valid.
 
This diagram was created with perl.

Licensing

[edit]
This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.
Trademarked This work includes material that may be protected as a trademark in some jurisdictions. If you want to use it, you have to ensure that you have the legal right to do so and that you do not infringe any trademark rights. See our general disclaimer.
This tag does not indicate the copyright status of the attached work. A normal copyright tag is still required. See Commons:Licensing.
Insignia This image shows a flag, a coat of arms, a seal or some other official insignia. The use of such symbols is restricted in many countries. These restrictions are independent of the copyright status.


This file is saved in human-editable plain text format. Any editing of the image or creation of any derivative work should be performed using a text editor. Please do not upload edits saved or exported with Inkscape or similar vector graphics editors, as well as with automated tools such as SVG Translate.

Quality image

This image has been assessed using the Quality image guidelines and is considered a Quality image.

العربية ∙ جازايرية ∙ беларуская ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ čeština ∙ Cymraeg ∙ Deutsch ∙ Schweizer Hochdeutsch ∙ Zazaki ∙ Ελληνικά ∙ English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ galego ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ Jawa ∙ ქართული ∙ 한국어 ∙ kurdî ∙ Lëtzebuergesch ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ मराठी ∙ Bahasa Melayu ∙ Nederlands ∙ Norfuk / Pitkern ∙ polski ∙ português ∙ português do Brasil ∙ rumantsch ∙ română ∙ русский ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ shqip ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ తెలుగు ∙ ไทย ∙ Tagalog ∙ toki pona ∙ Türkçe ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current06:37, 28 January 2024Thumbnail for version as of 06:37, 28 January 20241,400 × 728 (17 KB)Iketsi (talk | contribs)arc C (et arc J – pour la symétrie du code) déplacés de 3 px; espaces (fines) ajoutées devant les deux-points; français plus idiomatique; casse du titre corrigée; 3 <path> simplifiés; coordonnées intactes. C'est tout.
01:00, 5 February 2022Thumbnail for version as of 01:00, 5 February 20221,400 × 728 (17 KB)MapGrid (talk | contribs)Increased drawing resolution by 10. Fixed the "central angle" values listed in the side bars; previous version inadvertently showed supplements of the central angles. There is absolutely no change to the flag geometry.
03:28, 4 October 2019Thumbnail for version as of 03:28, 4 October 20191,400 × 728 (17 KB)MapGrid (talk | contribs)Reduced file size (only slightly). Changed drawing label. Redid the grid with an SVG pattern; hopefully Media Viewer will render it!
04:20, 17 January 2019Thumbnail for version as of 04:20, 17 January 20191,400 × 728 (17 KB)MapGrid (talk | contribs)User created page with UploadWizard

You cannot overwrite this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Flag_of_Canada_(construction_sheet_-_leaf_geometry).svg&oldid=860602944"