Hendecagon construction at 8.4E-14

It is my pleasure to post the best accuracy method to constrcution a Hendecagon. the method is a little bit complex but it can reach relative error at 8.4E-14.,as the gift to the year of 2011.

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.

hendecagon constrcution with relative error 8.54E-10

With the latest work, I found a better accuracy construction method for Hen-decagon.

this method can reach relative error 8.54E-10.

I am happy to find this better one. I will try to find a much better.

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 4.4E-10

I got a little improvement for the Nonagon construction by compass and straight. It is a little bit complex than beofre. Details 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.

another simple way to construct Heptagon with hyper accuracy

I found another simple construction method for Heptagon with relative error 4.4E-8.,a tiny better solution than last one. Hope some one will enjoy it.

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.

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 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.