The Origami Forum

Here is an entirely different approach to "Folding the Cut".

The Flexicube puzzle is shown in both the cut and uncut versions:

Here is yet a another version of "Folding the Cut"



A significant variation of this version was used to make a practical application of origami which I used to win the March 2012 Monthly challenge -

https://www.flickr.com/photos/firstfold ... ed-public/

Very smart solution firstfold!

Another one of those slightly less pure ideas...
Three sided paper! Made by gluing three squares of paper together giving a square with half a square sticking out the middle. This gives you three colours to work with! There are a few variations which can be done, some of which give four colours or three colours in different ways. It probably wouldn't be very good though.

I think that your three sided paper idea could potentially make the creation of this modrian cube designed by David Mitchell a lot faster
https://youtu.be/OyATjAQuZb0

Sent from my SM-J120ZN using Tapatalk

What about the fact that pentagons and decagons can't in theory be tessellated but I have seen Arabic mosaics and tilings to where that argument is way off???those that have skills in tessellating along the plane of an angle.. it's perspective from point a to point c.. And having other artists work to reference...Like Alessandro Beber and Zingman.
The hardest part is making the box grid seeing as isometric triangles only work with hexagons and who knows a good c.p that utilises parallelagrams...??