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Flag of Canada (construction sheet - leaf geometry)

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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.
Tarix
Mənbə Öz işi. Very careful measurements taken from an image of the official 1964 drawing of the Canadian flag
Müəllif MapGrid
Digər versiyalar
SVG genesis
InfoField
 
The SVG code is valid.
 
This diagram was created with perl.

Lisenziya

Bu əsər materialı bir və ya bir neçə yurisdiksiyada olan əmtəə nişanları haqqında qanunların subyekti ola bilər. Bu tərkibdən istifadə etməzdən əvvəl, zəhmət olmasa, əmin olun ki, siz bu tərkibdən güman edilən istifadə şəraitində, qanunlara uyğun olaraq istifadə etmək hüququna maliksiniz. Siz bu tərkibə görə tam məsuliyyət daşıyırsınız. Həmçinin bax: Məsuliyyətdən imtina.
This tag does not indicate the copyright status of the attached work. A normal copyright tag is still required. See Commons:Licensing.
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.

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

Items portrayed in this file

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yaradıcı

Some value without a Vikiverilənlər item

müəllifin qısa adı: MapGrid
Wikimedia username ingilis: MapGrid
URL ingilis: http://commons.wikimedia.org/wiki/User:MapGrid

yaranma tarixi

16 yanvar 2019

source of file ingilis

original creation by uploader ingilis

MIME type ingilis

image/svg+xml

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Faylın əvvəlki versiyasını görmək üçün gün/tarix bölməsindəki tarixlərə klikləyin.

Tarix/VaxtKiçik şəkilÖlçülərİstifadəçiŞərh
indiki01:00, 5 fevral 20221.400 × 728 (17 KB)MapGridIncreased 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 oktyabr 20191.400 × 728 (17 KB)MapGridReduced file size (only slightly). Changed drawing label. Redid the grid with an SVG pattern; hopefully Media Viewer will render it!
04:20, 17 yanvar 20191.400 × 728 (17 KB)MapGridUser created page with UploadWizard

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  • User:MapGrid/flag construction sheets
  • Metaməlumatlar

    fayl, flag, canada, construction, sheet, leaf, geometry, fayl, faylın, tarixçəsi, fayl, keçidləri, faylın, qlobal, istifadəsi, metaməlumatlarbu, faylın, formatındakı, görünüşünün, ölçüsü, piksel, digər, ölçülər, piksel, piksel, piksel, piksel, piksel, piksel, . Fayl Faylin tarixcesi Fayl kecidleri Faylin qlobal istifadesi MetamelumatlarBu SVG faylin PNG formatindaki bu gorunusunun olcusu 800 416 piksel Diger olculer 320 166 piksel 640 333 piksel 1 024 532 piksel 1 280 666 piksel 2 560 1 331 piksel 1 400 728 piksel Faylin orijinali 8206 SVG fayli nominal olaraq 1 400 728 piksel faylin olcusu 17 KB Bu fayl Vikimedia Commons dadirve diger layihelerde istifade edile biler Faylin tesvir sehifesine get Xulase IzahFlag of Canada construction sheet leaf geometry svg 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 Bezier 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 Francais nbsp Feuille de construction pour le drapeau du Canada avec une representation mathematique non officielle mais tres precise de la feuille d erable Le gouvernement du Canada n a jamais fourni de description mathematique ou geometrique de la feuille d erable sur le drapeau canadien Deux dessins gouvernementaux du drapeau existent Un dessin de conception officiel dessine a la main de 1964 avec superposition de grille Il a quelques erreurs d asymetrie mineures Une image vectorielle d aspect moderne creee a l aide d un ordinateur nbsp il s agit essentiellement d un calque du dessin de 1964 avec des corrections d asymetrie appliquees Le schema de cette feuille de construction est base sur des mesures minutieuses prises a partir d une image du dessin de 1964 tel qu il apparait dans la norme CAN CGSB 98 1 2003 des corrections ont ete appliquees pour eliminer les asymetries Le resultat est tres proche de l image vectorielle du gouvernement qui se trouve dans CAN CGSB 98 1 2018 Tarix 16 yanvar 2019 Menbe Oz isi Very careful measurements taken from an image of the official 1964 drawing of the Canadian flag Muellif MapGrid Diger versiyalar SVG nbsp genesisInfoField nbsp The SVG code is valid nbsp This diagram was created with perl Lisenziya Public domain Public domain false false Bu gorunus butunlukle ictimaiyyete aid melumatlardan meydana gelmesi ve her hansi bir xususi yaradiciya aid olmamasi sebebiyle ictimai varidat olaraq xarakterize edilmekdedir ve muellif huququ qorunmasina daxil deyildir Bu eser materiali bir ve ya bir nece yurisdiksiyada olan emtee nisanlari haqqinda qanunlarin subyekti ola biler Bu terkibden istifade etmezden evvel zehmet olmasa emin olun ki siz bu terkibden guman edilen istifade seraitinde qanunlara uygun olaraq istifade etmek huququna maliksiniz Siz bu terkibe gore tam mesuliyyet dasiyirsiniz Hemcinin bax Mesuliyyetden imtina This tag does not indicate the copyright status of the attached work A normal copyright tag is still required See Commons Licensing 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 CaptionsazerbaycancaAdd a one line explanation of what this file representsingilisFlag of Canada construction sheet with full maple leaf geometry fransizDrapeau du Canada feuille de construction avec geometrie complete de la feuille d erable Items portrayed in this filetesvir ediryaradiciSome value without a Vikiverilenler itemmuellifin qisa adi MapGridWikimedia username nbsp ingilis MapGridURL nbsp ingilis http commons wikimedia org wiki User MapGridyaranma tarixi16 yanvar 2019source of file nbsp ingilisoriginal creation by uploader nbsp ingilisMIME type nbsp ingilisimage svg xml Faylin tarixcesi Faylin evvelki versiyasini gormek ucun gun tarix bolmesindeki tarixlere klikleyin Tarix VaxtKicik sekilOlculerIstifadeciSerh indiki01 00 5 fevral 20221 400 728 17 KB MapGridIncreased 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 oktyabr 20191 400 728 17 KB MapGridReduced file size only slightly Changed drawing label Redid the grid with an SVG pattern hopefully Media Viewer will render it 04 20 17 yanvar 20191 400 728 17 KB MapGridUser created page with UploadWizard Fayl kecidleri Bu fayli istifade eden sehife yoxdur Faylin qlobal istifadesi Bu fayl asagidaki vikilerde istifade olunur ca wikipedia org layihesinde istifadesi Bandera del Canada cs wikipedia org layihesinde istifadesi Kanadska vlajka en wikipedia org layihesinde istifadesi Flag of Canada User MapGrid flag construction sheets fr wikipedia org layihesinde istifadesi Drapeau du Canada nl wikipedia org layihesinde istifadesi Vlag van Canada uz wikipedia org layihesinde istifadesi Kanada bayrogʻi zh yue wikipedia org layihesinde istifadesi 加拿大旗Metamelumatlar Bu faylda fotoaparat ve ya skanerle elave olunmus melumatlar var Eger fayl sonradan redakte olunubsa bezi parametrler bu sekilde gosterilenlerden ferqli ola biler Qisa basliqFlag of Canada construction sheet with full maple leaf geometryGenislik1400Hundurluk728 Menbe https az wikipedia org wiki Fayl Flag of Canada construction sheet leaf geometry svg, wikipedia, oxu, kitab, kitabxana, axtar, tap, hersey,

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