I don't think many would disagree with me when I say that this flower is ridiculously showy. I certainly did a double-take the first time I encountered one, especially since the giant delicate yellow flowers contrast so starkly with the rocky barren slopes this species calls home. 
 
Blazing star likes extremely well-drained soils with plenty of sunshine (and no aggressive plants to crowd them out). They go perfectly with silverleaf phacelia and any of our cushion plants, such as cushion buckwheat, woolly groundsel, and cutleaf daisy. Remember: well drained soil, plenty of bare (or gravelly) earth to reseed. 
 
Blazing star is a short-lived perennial, so I recommend planting two and letting the seed heads mature. They reseed quite readily, and mulching with a thin layer of gravel will help ensure future generations for your garden. 
 
In my experience blazing stars don't like having their roots disturbed, so when planting, place the rootball in the hole without roughing it up, but make sure to press the backfill in adequately for good root/soil contact.
 
2nd photo: Stan Shebs [CC BY-SA 3.0 (https://creativecommons.org/licenses/by-sa/3.0)]