There are real bike designs that have a monofork (a one-sided fork, e.g. the Cannondale "lefty"), a monostay, or a solid body instead of top & down tubes (e.g. many folding bikes or the extremely aero Ventum One [2]). The Giant Halfway [3] folding bike has all three features!
[1] https://en.wikipedia.org/wiki/File:Bicycle_diagram-en.svg
[2] http://www.slowtwitch.com/Products/First_look_at_the_elusive...
[3] http://www.giant-bicycles.com/en-in/bikes/model/halfway/1905...