Displaying a 2D net of a 3D cube

Displaying a 2D net of a 3D cube

Scooter

Member #16,799

January 2018

Hi all:
I need some advice on folding a cube net into a 3D cube.
I have the net for the cube posted above. What I have a problem
with is how do I convert the 2D net into a 3D cube. Somehow I
have to have the Z coordinate for the 3D cube.
My intention is to have each side fold up in 1 degree increments.
Don't know whether I can do it but I would like some info on
how it would be done. Thanks for your time on this matter.

Edgar Reynaldo

Major Reynaldo

May 2007

This can be accomplished using trig, or transformations. You need the path of each square of the cube and each corner of each square while folding it into the cube.

Hint - the net already has a z-value of 0.

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Scooter

Member #16,799

January 2018

Thanks Edgar!
I started this project using trig and ended up with a gosh awful mess. Since I
had the cube built, I tried to unfold it first. I got something on the screen, but
not what I wanted. Trying to unfold and fold with the cube rotating seems impossible.
I will keep at it.
Thanks again and Merry Christmas to everyone!

Edgar Reynaldo

Major Reynaldo

May 2007

Scooter said:

Trying to unfold and fold with the cube rotating seems impossible.

You'll want to multiply transforms. Multiply the rotation transform with your folding transform.

Remember, you don't have a cube, you have six 3D squares, each with their own folding (rotation, translation, etc...).

3D trig can be really hard. Use a series of 2D transformations around an axis to keep it simpler. The result will be the same.

Also, keep it simple. Try to fold a single square to begin with. Make it rotate around one of its edges. That is essentially what folding is.