polygon composition with hinges

hello everyone,

i am having a very hard time building a simple structure from equilateral triangles, that have all their sides used as hinges. the idea is to create a composition from these triabgular polygons , whare i can pick a point and by draging it to change the angle between them. i watched and did many many tutorials with grasshopper kangaroo, but the problem in all of them is that they make the polygon become elastic and change the side length, the side length has to remain the same. after so much reading and watching tutorials i start thinking , that simple operation i impossible in grasshopper and kagaroo.

thank you very much in advance