Explore is a function of Flickr where amongs all the photographers that sends pictures to the site a few are selected (500 to be precise) on each day to be included in a kind of hall of fame called the Explore.
The exact criteria for when pictures are included is not known, in fact it is a well kept secret for it is fine-tuned all the time, if you have been in explore many times it gets harder to become picked, if you send a photo to many groups it can be harder but also the number of views, comments, fave markings you get contribute to your Explore score.
1. It was a fabulous moon, 2. Where I am going, 3. The Night Watch, 4. The Small House, 5. The Cat, 6. Grödinge church infrared, 7. Ghost in the Window, 8. Kapelludden Cross, 9. A Second in Life, 10. Pompom and the Sea, 11. DSC_1355, 12. Polished Metal, 13. The Sky and the Snowcovered Lake, 14. Fluxfallet, 15. Strokkur, 16. Fontain Rainbow
Tags: explore, Flickr, Photography

I believe that they changed the algorithm a week or so ago. Happens every now and then, mostly because there are so many flickr groups where the member will do anything to get to Explore.
Yeah they do that now and then to make it harder for people to “stuff the ballot” and promote pictures by acting in a certain way.