Icosikaitrigon construction at 1.2E-11

It is the best solution for Icosikaitrigon construction.It take tow days to simplify the methid which can be finished in normal compass and straight method.

Enneadecagon construction at 1.6E-11

this is the solution for compass and straight to construct a Enneadecagon with least error at 1.6E-11.

tridecagon construction at error 7.6E-11

It is not a good method but the error is the best one so far. I post here for memory.

Nonagon construction with straght and compass at 9.2E-14

It take me four days to find this hyperaccuracy method to construct Nonagon at relative error 9.2E-14. This final version can be drawed normaly by straght and compass.

construct a Nonagon with 2E-10

I had got a little progress for Nonagon which close to 1E-10, I hope i can reach 1e-11. detail see the image.

construction a Nonagon with error 9.5E-10

I had found a method which can construction a Nonagon with hyper accuracy by compass and straight. See image for the details.

I am still working for higher accuracy for Nonagon.

construction a Heptagon with error 4E-12

A good news for me. There is a simple method that can construct a Heptagon with relative error at 4E-12,much better than last one. I am afraid that It may not have better solution for simple construction by compass and straight. But I will try further. Let's see what is next.

construction a Heptagon with error 1E-10

I go further to find more accurate method to construction a heptagon. The new method has relative error at 1.14E-10,which is much better than before.The method is not complex so a heptagon can be constructed in a few steps with extremely accuracy.

another simple and accurat classic method to construction the Heptagon

I am happy to find another simple method with relative error 5.7E-9. it is only 6 steps. See the image for the details.

construct heptagon with error at 2.3E-9

It is my pleasure to find a method go beyond 1E-8 for construct Heptagon with classic method. I doubt first if it is possible to use simple method to construct heptagon with relative error less than 1E-8. It seems there is possibility for relative error less than 1E-9. let me try further.

the detail construct steps are on the image.

improved the method to construct Heptagon with error 4E-8

I checked last method and found it can be simplified. The details are on the image.

Hendecagon construction with hperaccuracy

I found a method which can construct hen-decagon(11sdies) with relative error less than 3E-8. The picture show the principle and detail construction steps.

construct a Nonagon with Hyper accuracy by compass and straight

I just found another new method which can create Nonagon central angel with hyper accuracy. The relative error is about 4.6E-8. I think it is the best accuracy so far.

a new method to construct heptagon with hyper accuracy

When I checked wiki for heptagon construction method, I found there is a method with 10E-7, a very very accuracy and simple method. I try again to find a better accuracy method and did it. the picture show the math principle and detail construction step. the accuracy is 5E-8,about 10 times better.I am sure it is the best one so far.

math principle of Enneadecagon construction

the pictures show the math principle of setup central angel of Enneadecagon with self accurate method.

math principle of icosikai-henagon construction

This is the math principle of self accurate method to setup central angel of icosikai-henagon.

math principle of Hendecagon construction

The math principle of self accurate method to construct Hen-decagon is show on the pictures.

The shrink rate is fast as the base is 32.

How to draw a perfect Icosikai-pentagon with compass and straight

Icosikai-pentagon is nonconstructive polygon by compass and straight.

But with the method I post in the picture,one can draw a nearly perfect Icosikai-pentagon with compass and straight.

the first step is to construct a angel which is 9 times of the central angel of the Icosikai-pentagon. the method I found now has little error which make one can use compass and straight drawing perfectly.

it is possible to draw the Icosikai-pentagon with any wanted accuracy. the details post on the previous article.

how to draw a perfect Icosikai-trigon

Icosikai-trigon is also the nonconstructive polygon.

with the method I post here in the picture, you can quickly set up a start angel which is 7 times of the central angel of the Icosikai-trigon.

The detail drawing process see my last post.

How to draw those nonconstructive polygon with super accuracy

To draw a polygon with a start up angel will create some error for those nonconstructive polygon. Even with a very accurate angel, you may not be able to draw this kind of polygon with any accuracy.

I had studied some days and found a self accurate method which can allow you to draw any accuracy with any start-up angel .

I post some picture to show how to do it.