General method for drawing any regular polygon given the measurement of one side

How to draw a any-sided regular polygon given the length of one side.

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Dubbed by Frank Shaw.

#Geometry #HowtoDraw

[alexbennie]

I've read through all these comment, yapping on about "It's wrong!", but no one seems to be fascinated by the fact that such extremely high accuracy is reached by such an extremely low effort method.

For instance: How many division in "n" parts of lines and angles are suddenly possible after the "Origami Axioms" come into play?

I've not yet seen Mr Galois or any of his students tackle the -morphisms from Geometry including Origami axioms to their rings and fields and their other headache-inducing, albeit fascinating, contraptions!

Anyways, late to the party, but YT Algorithm should've known better and recommended this channel years ago... So, a belated, cheers on an awesome channel!

And secondly, if anyone can tell me who the originator of this method is, I'd love to Delve into that Rabbit Hole!

[apunctg]

It's an approximation method ... the accuracy is 1.9 degrees ... try to draw it in CAD ...

[cbranalli]

the hexagon drawn here is perfect
because the construction establishes
an equilateral triangle ABO
and replicates it 5 more times around the circle.
an equilateral hexagon is indeed comprised of
6 identical equilateral triangles meeting at a common vertex.

however - any construction purporting to draw equilateral polygons
of successive numbers of sides - based on the notion that
the respective circumscribing circles have centers equally spaced
along the central vertical line is simply WRONG -
as a trigonometric analysis will clearly show.

at best -
this method will yield good approximations of equilateral polygons
whose number of sides is "quite close" to the original number of sides -
in this case 6 - thus 7 8 and 9 as well as 5 4 and 3.

[josefwintzentlibot]

Yes, the heptagon thing is just an approximation because for it to be perfect 7sin(180/7) must be exactly 3. But that is not the case as 7sin(180/7) = 3.037... or 1.24% more than 3.

[muhammadvaseem]

Sir this is very good useful easy method important lecture thank you

[devildog]

The sector is a vintage drawing instrument. It uses the same method to lay out any regular n-gon.

[supchurch]

Well done . Applied mathematics for machine trades ... Divideing head math . 👍

[roselyngbobor]

l understanding it thanks for this good work

[ssakelvin]

Thank u alot ave really appreciated from Kenya😊

[philippereverdiau]

This 9-sided polygon is not regular, neither the others (probably), except indeed the hexagon !

[OnlineToBrain]

But this is not a exact method. It is approximately method.

[mr.perfect]

This guy sounds like the one from Organic chemistry tutor channel. 😅

[trevorallen]

So I can in theory I can construct my own protractor 360 degree polygon? Sounds like a fun challenge.

[mnek]

It's very easy to prove that this method isn't correct and only produces approximately correct results in certain cases. Try using the C3 for a 3-sided polygon and it won't even work.

[official-obama]

Beware that this is only a really good approximation, if you want to draw 1-gons, you might run into some problems.

[madhusudanlolge]

this method is not give accuracy which have

[wizrom]

So there is not need at all to draw the silly hexagon and the smaller circle?
Total waste of time all you need are the points A B and O which is just 2 arcs. And to divide A B by 2 so you can get T (that division is a weak point of this system).

[elizacollate]

This method is not accurate enough .All sides are not equal .Please rectify that