Given a string  of npositive real numbers, let  be the configuration space of planar polygons having side lengths  Many topological properties of  are already known: For example, the condition under which  is nonempty is known. Also, the condition for which  is connected is known. Moreover, when    is a closed surface and a formula to compute  is also known.

Recently, motivated by chemistry, the configuration space of certain spatial polygons was constructed: The space consists of spatial polygons having side lengths  such that the interior angles are all equal to  except for two angles at the successive vertices. We denote the configuration space by  In this paper, we study which properties for  also hold for  for the case that there are at most two different

polygon space, interior angle, Bott-Morse function.