The first thing to learn are the definitions of a "3D Woman" (on the left of the screen) and a "2D Woman" (the two ladies on the right of the screen). As you can see, "3D" refers to humans while "2D" refers to 2 dimensional illustrations.
While there are many folks who prefer warm blooded humans, some just prefer the 2 dimensional – so much in fact that they would rather marry one.
A petition will be submitted to the Japanese government upon the collection of one million signatures asking for law to be passed making it legal to marry a 2 dimensional character. The petition is filled under Human Rights and can be seen online here.
The online petition comes with the following blurb:-
We don't have interest in the 3D world. If possible, I want to become the husband of a 2D character.
Does not look like this matter can be solved with today's science and technology so at least make it legal to marry a 2D character.
If this law is passed then I want to marry Asahina Mikuru.
There are currently 41,000 blogs and sites that have covered this news but only 3,170 people have signed the petition…
As for the 2 dimensional ladies on the screen – photo taken at one of the subculture or "otaku" events in Tokyo and you can see all previous event coverage in the Events category.
And for folks wondering about the 3 dimensional lady – her name is Hiromi and you can see more photos that I took of her last year in the Japanese Idols category.