impossible shape ?

[GammaNu]

Is there impossible shapes ?
If not, how this one could be done ?
https://viewer.shapez.io/?Ru------:----Ru--:--Ru----:------Ru

[srather]

TL:DR; No it is not possible to create that shape.

For this problem it only matters where a part is and where not. So the color and types of parts can be ignored. That leaves 4 parts * 4 layer = 16 playes where a part can either be or not be. So there are 2^16 = 65536 possible shapes. This number isnt too big, so i wrote a program to brute force the answer. My findings are:

• Of the 65536 shapes 54240 are "legal" ones, because shapez.io doesnt let you have completly empty layers in between.
  
• Of the 54240 legal shapes 46744 are possible to create.
  
• Every shape can be created in 10 steps or less. The base ressouce is one full layer like you get from mining. Before merging two shapes in a Stacker they are allowed to be processed in paralel. An example for a shape that needs 10 steps is ------Ru:RuRu----:--RuRuRu:--RuRu-- [viewer.shapez.io]
  
• The shape Ru------:----Ru--:--Ru----:------Ru [viewer.shapez.io] can not be created.

[Ecconia]

In case that someone else finds this thread via Google:
The amount of possible shapes one can create is 48432 (ignoring colors and material).
Source (of truth): Game's Discord (just search for the number).

Also, I certain that shape (------Ru:RuRu----:--RuRuRu:--RuRu--[viewer.shapez.io]) claimed to take 10 steps is actually impossible to create.

Edit:
Clarified my message to prevent confused (or pointlessly offensive) answers like the one below this one... This thread is ages old, do not answer. I only corrected the information in case someone finds it via Google (like myself).

[Andrei030x]

Originally posted by srather:

An example for a shape that needs 10 steps is ------Ru:RuRu----:--RuRuRu:--RuRu-- [viewer.shapez.io]

And how are you going to put it together?
It must be some kind of unknown mechanics or mod. Otherwise, it is impossible.