Flexed Square-Triangle Tiling 2
The following diagrams show how the orange square in the square-triangle tiling 2 can be flexed to create new designs. It shows there is at least one degree of freedom in choosing alternate angles for the square-triangle tiling.
Square-Triangle Tiling 2
This is described more here.
Square flexed to pi/3 rhomb
Square further flexed to pi/6 rhomb
Square further flexed to 0 degree rhomb
In this last picture, the square has thinned to a rhomb with 0 degree corner. However you still need to account for it in the substitution rules.
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