Knitted structures formulae

Mathematics Computer graphics

Content

Knitted Structures formulae.png

  1. Plaited
tmax=2x(t)=100ty(t)=34sin⁡(4t)z(t)=13sin⁡(8t)
  1. Cross-linked
tmax=3x(t)=10.5t+2arctan⁡(sin⁡(tπ))y(t)=2sin⁡(tπ)z(t)=0
  1. Knitted
tmax=2x(t)=25sin⁡(2tπ)+50ty(t)=−70cos⁡(tπ)z(t)=0
  1. Woven 1
tmax=3x(t)=10.5t+2arctan⁡(sin⁡(tπ))y(t)=2sin⁡(tπ)z(t)=0
  1. Woven 2
tmax=8x(t)=(100+4arctan⁡(cos⁡(3.6tπ)))cos⁡(tπ/3.75)y(t)=2tz(t)=(100+4arctan⁡(cos⁡(3.6tπ)))cos⁡(tπ/3.75)