I am completely dumbfounded by the shape morphing proposed by the book “Morphing a Guide to Mathematical Transformations for Architects and Designers” and how to build the shapes shown in it in Dynamo.

The very basic gist of whats going on inside it is that you are given a shape and the supposed xyz functions to build it, however I’ve not been able to make any of them even though I’ve tried every way to enter the coordinates I can think of.

They actually have a website that builds it when you enter the functions, so I’ll use it and my dyn files as a tools to demonstrate what I want to achieve versus what I actually get in Dynamo.

The functions for x,y and z are as follows:

{ (u,v) | 0≤ u ≤ 2π 0≤ v ≤ π}

x = cos(2u)/2+sin(v)cos(u)

y = sin(2u)/2+sin(v)sin(u)

z = cos(v)

Morphing site:

http://www.morphingbook.com/tool.html

My files:

1.dyn (24.5 KB)

2.dyn (17.4 KB)

Would be really thankful if someone could help me figure this out