Flag_of_the_United_States_specification.svg


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polen41960 uas

Summary

Description
English: A similar diagram of the flag of the United States was given in Executive Order 10834 , by Dwight D. Eisenhower, on August 21, 1959. It appears in the United States Code, title 4, chapter 1 [1] . The code specifies the lengths as

See "Flag of the United States" article for details.

The exact values are given in parenthesis, see graphics above, for the modern US flag with 50 stars. Older flags do not get adjusted for any reason.

  • A = 1.000 = (1/1)
  • B = 1.910 = (B/A = 1.910 fixed)
  • C = 0.53846 = (7/13)
  • D = 0.7615 = (C*sqrt(2) = 7*sqrt(2)/13)
  • E = F = 0.053846 = (C/10 = 7/130)
  • G = H = 0.06346 = (D/12 = 7*sqrt(2)/(12*13))
  • K = 0.061803 = (inv(5x(sqrt(5)+1))
  • L = 0.07692 = (1/13)

How is this obtained or calculated? See below:

Let, A = 1
A = 13L
L = 1/13 = 0.076923...
C = 7L = 7/13 = 0.5384615...
D = 0.76 (From "Flag of the United States" wiki article: B x 2/5 which is correct only for this AR of the flag, in fact, D/C looks to be about sqrt (2) and if so, then D = 7xsqrt(2)/13 = 0.7614996... )
Given: E = F, then E = F = C/10 = 7/130 = 0.05384615...
Given: G = H, then G = H = D/12 = 7xsqrt(2)/156 = 0.0634583...
K = 0.0616 (From "Flag of the United States" wiki article: L x 4/5 = 4/65) = 0.06153846... which contradicts what was given. The correct value for K is inv(5x(sqrt(5)+1)) = 0.061803398874... if we work this number backward we will get K = L x 4.017220926874.../5) and somebody rounded it off or over simplified it, there is where the confusion came from.
The aspect ratio, B/A, is independent of all other parameters and is stated as 1.9, but its rounded off from 1.91 (see the main "Flag of the United States" text for the 0.01 rounding error.)
B = 1.910

Just in case you wanted to make your own flag and all these numbers look too complicated, Here is something simple:

US Letter paper size is 8.5x11. Fold 1/2 inch to get 10.5 inches. Thats your "B" and you can get one flag out of a paper:

A = 5.5 inch (this is your height of the flag)
B = 10.5 inch
L = 27/64 inch (height of each stripe)
C = 2 15/16 inches or 7 stripes
D = 4 3/16 inch
E = F = 19/64 inch
G = H = 11/32 inch
K = 11/32 inch

Alternatively, fold 1/2 inch on the other side so you get 8 inches on one side. Thats your "B," and you can get two flags out of a paper:

A = 4 3/16 inch (this is your height of the flag)
B = 8.0 inch
L = 5/16 inch (height of each stripe)
C = 2 1/4 inches or 7 stripes
D = 3 3/16 inch
E = F = 7/32 inch
G = H = 1/4 inch
K = 1/4 inch

Date
Source Own work
Author Jay Bala
SVG development
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polen uas 1222

Licensing

Public domain
This work is in the public domain in the United States because it is a work prepared by an officer or employee of the United States Government as part of that person’s official duties under the terms of Title 17, Chapter 1, Section 105 of the US Code . Note : This only applies to original works of the Federal Government and not to the work of any individual U.S. state , territory , commonwealth, county, municipality, or any other subdivision. This template also does not apply to postage stamp designs published by the United States Postal Service since 1978 . (See § 313.6(C)(1) of Compendium of U.S. Copyright Office Practices). It also does not apply to certain US coins; see The US Mint Terms of Use .

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