Four Component Vault -Scalable

Study the attached photo and notice that there are actually only FOUR different shapes.    The shape of a Vault that is properly designed uses the weight of the blocks to reinforce the strength of the arc so that it is self supporting..    In this photo if you were to make a vault big enough for a human the individual pieces would be humongous ...  so  the way I see it is that  if you take this vault shape  and identify the  completely square rectangle  block,  you could use them as spacers so that you aould put three or four of the rectangular  between the different angle wedge blocks  to make the overall structure big enough and allow the individual parts to be small enough to be handled by a human.   I'm thinking molds could be made and these block components could be made out of various materials from pure foam to  concrete and the vault could be made much like an igloo is made only the shape is different and  fat least for me....  I think is a better solution in a way than are igloos- roundish structures instead of the rectangular footprint of a Vault.   Of course the drawback of the Vault is that you have to construct the two end walls.   As I think about it more, if you were to add the proper angles to the molds,  you could use the angled components to make a curved wall structure... ie igloo-ish dome.  

Scot, I am trying to understand what you are trying to sort out?

John C Daley wrote:Scot, I am trying to understand what you are trying to sort out?

Pretend that we want to build a structure with 8 feet interior height.  The blocks needed as shown would have to be very large.
Notice that in the photo there are only four different  shapes that are used to create the  Arch shown.   I am saying that the perfectly square shape can be used by adding more ( as spacers)  of the rectangular shapes  to extend the height of the structure
without having to make obcenely large heavy components.     Or you could have massive components if they were made of lightweight styrofoam.  

For example in the Vault shown in the photo,  insert between each piece in the vault another  perfectly square piece to extend the height   OR
you could use a greater quantity of smaller pieces to make the same height vault.