I'm stumped on this combinations problem for a speed dating event I'm hosting tomorrow night!

Okay, my brain has melted. I invited 10 men and 10 women to view 10 artworks in a gallery for a speed dating event. Each man and each woman needs to meet once. Each man and each woman needs to view each artwork once. I'm finding that this is not possible. I can add additional artworks if necessary!

When I follow Female 1 (F1) through my data sheet, she ends up meeting with Man 11,13,15,17, and 19 twice- never meeting Man 12,14,16, 18, or 20.

I am very grateful for any help, even if it's to say this is impossible!

My attempt so far (Artworks= "Galaxy", "slab", etc)