Few suggestion on improving the thread:
More info about practical issues such as what power supplies/resistors/capacitors/constant current psu's etc. are widely available rather that just pure maths because if for example you calculate the voltage needed and it's 13 volts then it might be hard for a new comer to figure out which psu to get.
Better explanation of diagrams. Like duke37 asked about the capacitor, I don't really know what it's for either but seen it in many diagrams b4. Also I looked for 0.1uF capacitor and I didn't see anything even close to this value, so more info would be nice.
More info on complex/unusual setups as this is where people have problems most of the time. Like 3x3W led's or 12W led's
Mostly more info and some examples on how to actually wire the led's and constant current circuits especially the ones with unusual requirements, such as the 3 led psu problem (~3x3+4.25=13.25V this is just over usual 12V power supply, is there a way to still use the 12V supply such as by wiring led's in parallel?).
Hope this helps with the brainstorming