Hmmmm - there was a time when I'd have said I would NEVER walk a hill. I've become older and wiser.
If I am on the mtb, going up a steep, gnarly climb and don't make it, I will definitely walk. Most likely I won't get up otherwise. Or else go back down and try again, 'cause some of that is technical skills that I just don't posses and the only way to learn it is to keep trying. On the road bike, tho', its still a matter of pride for me. I may go slow - I may use that granny gear - but I will ride up the hill. If I meet a hill that I can't do that on - I think I would start to walk, rather than waste time standing there. No point to that. And I agree that it is not good to simply stop. Got to keep the heart pumping and the blood flowing. When I've pulled a loaded BOB trailer, and not made a wise route choice, I have definitely walked up hills. I simply couldn't keep pedaling and I don't think resting would have made any difference. If the hill is too steep to keep going, might as well walk. If its a long hill, and the grade lessens, then by all means, get back on and try to ride. I agree with MOB - the important thing is to get up the hill. Next time on the same hill, you try to go farther. It's a good gauge of judge progress. Hills are SUCH good training. Automatic intervals. I always try and think of them in a positive way.
annie
Time is a companion that goes with us on a journey. It reminds us to cherish each moment, because it will never come again. What we leave behind is not as important as how we have lived." Captain Jean Luc Picard