Wow... that project article brought back some memories... and not necessarily good ones. Save yourself the pain and DON'T build it!
I built a remarkably similar unit back in the late 80's - a couple of cascaded decade counters drove the x-axis of the LED array, and an LM3914 drove the y axis. After spending an eternity building it on a wire-wrap board (and don't get me started on how much of my precious newspaper run money went into [then] hyper-expensive LEDs...) it was C.R.A.P. Granted, the main problem with the unit I constructed was the absence of a decent timebase triggering mechanism - something that this unit seems to have sorted out. That aside though, the display resolution was practically unusable. It was fine if you wanted to look at a textbook sine wave out of the high school signal generator, but utterly useless for any prototyping/debugging work.
Sure, it's a neat curiosity, but a PICxx driving a Nokia 5110 LCD (e.g.
https://www.youtube.com/watch?v=xIoTnZGjgoM) can be had for a fraction of the price and smashes the LED oscilloscope in performance.
Please don't