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.

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.

Draw a perfect Heptagon with classic method

Heptagon is not constructable by rule and compass theoretically. But there is some classic method to construct Heptagon with small error about one tenth degree.(Dixon)

I find a way which much much better close to perfect Heptagon with error -0.0018 degree. details see the picture at right.

I write down the detail step in the picture.

I found out this method by study the 12 orthogons recently. Actually, I found a another way with pentagon first which I will post later.