To lead climb a familiar route from top to bottom without falling or hanging on the rope.
To lead a route placing and clipping protection as you go, without falling or otherwise weighting the rope
a clean ascent with no falls, placing protection while climbing.
Leaving blood and bits of skin on a climb. I can say with pride that I have redpointed nearly every climb I have done.
To climb a route without falling after repeated tries
To lead a route from bottom to top while placing one's own protection, without falling or hanging on the rope.
(n) a clean ascent with no falls, after initial attempt(s)
Leading a bolted route after inspecting it, and maybe after practising individual moves on a toprope. Originally, if the quickdraws were preplaced, this would be called a pinkpoint; for a redpoint, the leader would have to place the quickdraws as they went. However, preplaced quickdraws have now become the norm and now would be known as a redpoint. [Michele McIntyre] Derived from German Rotpunkt. The word came in to common usage in the Frankenjura in the 1970s: it originated from the practice of painting a small red circle at the bottom of a climb that had been climbed without aid. Kurt Albert and others started the trend. [Julian Mecklenburgh] sport route which is led after watching others, rehearsing moves on toprope, or simply any sport lead where moves have been done before (in the event of a fall). See also cheating, headpoint. [Wil Treasure