# Koch Division

Progression of a Koch snowflake as it is described by a recursive definition I wrote in grasshopper Application of the same principle for a regular tetrahedron made through a recursive hrasshopper definition.. Paper model for Koch tetrahedron

## 5 thoughts on “Koch Division”

1. Maycon says:

Could you explain the functions (evaluate) you have used?
Thanks!

1. korras says:

Yes

A)start from drawing equilateral triangle on XY

B)put the formula of tetrahedron’s height and find the too vertex. Create the geometry to produce the tetrahedron

C)Take the midpoints of the edges of each face and connect them to het a new equilateral triangle

D) then for each face of the tetrahedron, find midpoint. Take the normal vector of its surface at this midpoint and displace the point along this vector the appropriate distance as given by the height formula. Create the new tetrahedron which will be the first iteration of the geometry.

E)make the definition recursive to produce following iterations

All work was done in Grasshoper for Rhino.

Hope that helps!

2. jess says:

Hi, I’m trying to recreate something similar but have got a bit lost trying to follow the script snapshot.
What expression are you using for the evaluate components,and for the ‘T’ input on the move components later on in the script?
Thanks

3. Riccardo says:

what’s the expression in rotate?