In which we ask "How big is a dragon scale?"

 I've spent the last two days researching limpets, komodo dragons, fish, snakes, pangolins, gators, armadillos, bones, goethite, keratin and a crap ton of physics and geometry.  And dragons.

Weeks ago my party found a "dragon scale" in a plundered abbey.  It was meant to clue them in as to the presence of a dragon in the area.  A plot hook.  They ignored it which was fine of course.  Days later they briefly encountered a wyrmling in a dark forest in the rain.  As the dragon withdrew they noted it was missing a couple scales.  And in our most recent session they considered using the scale to further the ruse of "there's a dragon in the woods" (see prior post.)  I questioned whether they had TAKEN it.  They said they did.  I said I didn't remember, but I'm willing to allow it.

Jump to my post-session review.  I need to update Aerialayna's inventory to reflect that she's carrying the scale.  So how big is it?  How much does it weight?  The interwebs and ChatGPT had no (valid) answers.  "It depends" was a common response which is fine if it's followed up on.  

Most of the attempts at answers failed on SOME level.  Usually too heavy.  Reason?  Virtually every animal we know of is in the 3%-5% range of "hide" to total weight.  Notable exceptions are armadillos (15%) and turtles (50%.)  I'm happy to go with that 15% figure for our dragon.  A wyrmling is a medium creature which means it will max out at 500 pounds.  So the dragon would have 75# of scales.  So the dominant answers found online (usually somewhere between 20 and 50 pounds) means our wyrmling would have FOUR scales.  No.  Just no.  

So if a satisfactory answer doesn't exist I need to create one.  Not gonna bore you with all of my leaps and dead ends but I will include some assumptions.  Rules:  Dragons range from medium to gargantuan.  Assumption: scales are bigger on bigger dragons.  Using some of the critters mentioned above we can assign diameters of 6, 9, 13 and 25 inches.  To simplify the match we're going to use round/cylindrical disc scales.  And we're going to make the scales bone as opposed to keratin or goethite, for size purposes.  Next assumption - the body surface of a dragon covered by scales is similar to the amount of usable  hide from a cow (sq footage equal to .05% of its weight.) Final assumption: scales overlap so they'll only cover "half of their size."

Now lets take a look at our 500 pound wyrmling.  It will have 75 pounds of scales covering 30 square feet.  Scales have a 6" diameter.  Each will cover 14 square inches.  It will take 300+ scales to cover the dragon.  Each scale would weigh about 4 ounces.  Jumping the gun: ancient dragon scales would weigh over 4 pounds!  All of the scales would be .1298 inches thick (1/8.)

Young dragon: Large, 4k#, 240 square feet, 9" diameter, covering 32 sq inches each.  Just under 1,100 scales, weighing 9 ounces each.

Adult dragon:  Huge.  16 tons.  1,920 square feet.  13" diameter, covering 66 sq inches each.  Just over 4,100 scales weighing 18 ounces each. 

Ancient dragon:  Gargantuan.125 tons.  1,667 square YARDS.  25" diameter, covering 1.7 square FEET each.  Almost 9,000 scales weighing 4 1/4 POUNDS each.    

I think I can live with this!!!!