When we think of dressing for a black-tie event or wearing a tuxedo on special occasions the black bow tie is indispensable.
The distinctiveness of black-tie attire (tuxedo) is the black bow tie which ought to be made of the same fabric as the lapel facing of your tuxedo jacket; perhaps it might be silk/ satin/ grosgrain.
Alternatively, if you would like to wear your dinner jacket which might be made of velvet or jacquard, etc with self-facing (the lapels facing with the rest of the fabric of your dinner jacket) or perhaps with silk/ satin facing lapels whether you could try a black velvet bow tie or silk/ satin bow ties as well.
However, preferable to wear a self-tie bow tie rather than pre-tied or clip-on bow ties, actually it's relatively easy to tie a self-tie bow tie and also will give a nice complement to your overall look.
Therefore, fundamentally we have three options to choose the style of bow tie; the butterfly predominantly is quite familiar to most of us and the design of the bow tie would create a nice butterfly wing shape when we tie it.
Relatively, the batwing bow tie has sharp rectangular edges with a slimmer profile and it is a traditional shape of bow tie which is more familiar with white attire (a white silk batwing bow tie), and certainly, it would create a subtle and elegant look.
However, the diamond point bow tie is quite an unconventional look because both edges are pointed and it resembles the shape of the diamond; also relatively straight and slimmer
I hope you get a clarification about the style of the bow tie and what type of fabric it ought to be made of; therefore, I suggest you wear the self-tie bow tie as it is an absolutely elegant and classy look.