This dome is based on the 2-4-2 X4 Seed. That is the top of the dome is made of four (4) triplets of #2, #4 & #2 mogharnas tiles. The expanded version of this dome utilizes the Ray motif. In this case there are two non-chiral rays like the traditional muqarnas dome. Additionally, there are also a chiral pair of right and left handed rays.
 
The principle I use to expand mogharnas forms is simple. I try to use the least number of tiles. If a gap may be filled with a single tile, that tile is used. This allows the appreciation of the complexity of muqarnas’ simplicity.

2-4-2 X4 Seed2-4-2 X4 Seed

Two (2 X 11.25°) = 22.5°
Two (2 X 11.25°) = 22.5°

Four (4 X 11.25°) = 45°
Four (4 X 11.25°) = 45°

2-4-2 X4 Seed Dome, Top Closeup2-4-2 X4 Seed Dome, Top Closeup

2-4-2 X4 Seed Dome2-4-2 X4 Seed Dome

2-4-2 X4 Seed Dome2-4-2 X4 Seed Dome

2-4-2 X4 Seed Dome, Inside Looking Up2-4-2 X4 Seed Dome, Inside Looking Up