I recently tried TreeMaker and I am pretty new at this.

My question is, Why is the crease pattern asymmetric in terms of mountain and valley creases?

Screen Shot 2020-08-02 at 8.35.09 PM by Bill Bill, auf Flickr

## Question on TreeMaker Crease Patterns

### Re: Question on TreeMaker Crease Patterns

hmm. i'm attending university so i haven't made origami or used the treemaker program in a while. can you tell me more about ReferenceFinder4 please? i havent hear of that program.

### Re: Question on TreeMaker Crease Patterns

So it's been a long time since I used Treemaker. And sorry I don't have an answer why the CP is not symmetrical. But, this CP has serious problems. I tried to fold it using indicated M/V folds and it is not possible.

I thought more about why and I noticed one vertex has 5 mountain folds and one valley fold. This is impossible. It violates Maekawa's theorem that M - V = +/-2 (number of mountain and valley always differ by 2). So this CP isn't foldable. Could you post a screenshot of your "tree" (stick figure)? I might try again to fold this ignoring indicated M/V and just guess.

I thought more about why and I noticed one vertex has 5 mountain folds and one valley fold. This is impossible. It violates Maekawa's theorem that M - V = +/-2 (number of mountain and valley always differ by 2). So this CP isn't foldable. Could you post a screenshot of your "tree" (stick figure)? I might try again to fold this ignoring indicated M/V and just guess.

### Re: Question on TreeMaker Crease Patterns

I don't know about TreeMaker, but that Maekawa theorem concerns

If Nova CP is for a 3D shape, that theorem does not apply.

*flat*models.If Nova CP is for a 3D shape, that theorem does not apply.

### Re: Question on TreeMaker Crease Patterns

That is an excellent point about flat versus 3D. And you are right, for 3D, Maekawa's theorem (M / V relationship) and Kawasaki's theorem (sum of odd angles = sum of even angles = 180 deg) do not apply.

But, I think Treemaker is only capable to generate flat-foldable CP. So the assumption should be if Treemaker output, supposed to be flat-foldable.

But, I think Treemaker is only capable to generate flat-foldable CP. So the assumption should be if Treemaker output, supposed to be flat-foldable.