R.D.
Actually they do exist! And they've been available at Target since the late 90's! Don't know why anybody would tell you that they don't exist but if you go into target in their individual sock section (they don't come in bulk packages) they have them with little stickers on the front that say "seamless toe". I believe they come in black and navy blue an maybe white as well, and will run you about 4.99 a pair. Nordstroms carries them as well, but they may be pricier I don't remember! Good luck...my daughter started this about 2 months into Kindergarten and wore them until 3rd grade and then totally grew out of it! She's now finishing up middle school and hasn't complained for years...so hang in there! =)