# Mathematical graphics-kuen Surface

Source: Internet
Author: User
Tags cos

Kuen surface should be a surface named after a mathematician.
This article will show several Kuen Surface generation algorithms and cut graphs, some of which are standard and some are similar. use the script code of the custom syntax to generate a mathematical image. for related software, see: Mathematical graphics visualization tool. This software is free and open-source. QQ chat group: 367752815

Formula 1

`#http://jalape.no/math/kuentxtvertices = D1:100 D2:100u = from  (-4.5) to (4.5) D1v = from (PI*0.01) to (PI*0.99) D2x=2*(cos(u)+u*sin(u))*sin(v)/(1+u*u*sin(v)*sin(v))z=2*(sin(u)-u*cos(u))*sin(v)/(1+u*u*sin(v)*sin(v))y=log(tan(v/2))+2*cos(v)/(1+u*u*sin(v)*sin(v)) `

Formula 2

.

`#http://www.mathcurve.com/surfaces/kuen/kuen.shtmlvertices = D1:100 D2:100u = from  (-4.5) to (4.5) D1v = from (PI*0.01) to (PI*0.99) D2x=2*(cos(u)+u*sin(u))*sin(v)/(1+u*u*sin(v))z=2*(sin(u)-u*cos(u))*sin(v)/(1+u*u*sin(v))y=ln(tan(v/2))+2*cos(v)/(1+u*u*sin(v)) `

Formula 3

.

`#http://www.mathcurve.com/surfaces/kuen/kuen.shtmlvertices = D1:100 D2:100u = from  (-4.5) to (4.5) D1v = from (-PI*1.5) to (PI*1.5) D2t = u*u+ch(v)*ch(v)x=2*(cos(u)+u*sin(u))*ch(v)/tz=2*(sin(u)-u*cos(u))*ch(v)/ty=v - sh(2*v)/t`

Formula 4

 (1) (2) (3) (4)
`#http://mathworld.wolfram.com/KuenSurface.htmlvertices = D1:100 D2:100u = from  (-PI*1.6) to (PI*1.6) D1v = from (PI*0.01) to (PI*0.99) D2a = sin(u)b = cos(u)c = sin(v)d = cos(v)t = 1 + u*u*c*cx = 2*(b + u*a)*c/tz = 2*(a + u*b)*c/ty = ln[tan(v/2)] + 2*d/ty = limit(y, -50, 50)`

Related Keywords:

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

## A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

• #### Sales Support

1 on 1 presale consultation

• #### After-Sales Support

24/7 Technical Support 6 Free Tickets per Quarter Faster Response

• Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.