My architectural space takes inspiration of The Twist by danish Bjarke Ingels Group. Similar to my starting point, The Twist is placed in a nature landscape.

Firstly, two equal and one different sized rectangles was created in Rihno. Further on the curves was moved in z-direction in Rhino, so make a suitable proportion between the straight bottom part, the twisted midle section, and the straight top section. These made the base of the three parts of my twisted tower.  The straight curves was extruded and the midle section was lofted by a small program in Grasshopper. I did not manage to master the Transform-->Twist function in Grasshopper, and chose to twist the midle section 90 degrees in Rhino instead. I wanted to make a "building" and to highlight this, i put on a fence-like shape on the rooftop to make an impression of a rooftop-space. 

The twisted section has picewise straight sections, rotated in top of each other to create the twist. No lines are actually curved in the 3D printer. 

This roof structure design is inspired by the cable-stayed bridge consept. The roof panel is supported by a frame connected to the columns, and smaller transversal beams in between the frames. The Frame is supported by cables attached to the tower, and further connected to a fundament at the back. This system is efficient considering the cables/rods should only take axial forces. The columns will have a lot of bending and comression, and carries most of the load. This solution gives an open, but protected space underneath, and a neat design for surroundig area

This roof structure is simplified in terms of equal cross sections and simplified panel to find the most crutial locations. Only gravity load is added here.
The columns seem to be the most crutial part. The illistration to the left shows by color where the utility is high and low. This is due to both moment and compression. This model is made with fixed connections, and a hinged connection to the cables and panel would reduce the reactions on the column. The column utility is exceeded by approximatley 30% with respect to stress, and should be upsized in cross section. The utility in the panel is low, and could be downsized.

With respect to deflections, the tip of the roof panel is most prone to deformations. This could be reduced by increasing height of tower, increasing cross section of cables/rods/transveral beam og changing the material properties.

This model is added stiffening as diagonals in the panel between every column. This will reduce deformation from lateral forces from wind. One should consider if stiffening is needed between the columns vertically as well, but this is not done in this analysis.

To improve the general design, one could use a galapagos optimization for the cross sections with respect to the stress in the column.  One could optimize the height of the column as well.