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Conversion math for 1/6th scale

19K views 39 replies 30 participants last post by  furious genius  
#1 ·
Along time ago, I know I had a link somewhere on how to do scale conversion for 1/th

I'm horribel with math, so it helped quite a bit.

How do I go about converting 1-1 math into 1/6th scale.

Trying to figure out how to scratch build a door and can't quite figure out what the dimensions should be.

Thanks
Peter
 
#5 ·
you know, i laugh a little every time this subject comes up. I guess they don't teach kids what fractions really are in school anymore, do they? 1/6 = 1 divided by 6.

Like hardcase says, take whatever the measurement in the real world is, and divide it by six. keep the units of measure the same (ie, if you take something 30 feet long and divide by 6, the answer is still in feet). Even better, convert all feet to inches, and divide by six... then your final answer is in inches.

unless you are doing metric... then just divide by six, and keep the same units of measure.
 
#8 ·
Yeah, as a result of getting into 1/6th scale hobby I have some to love the metric system. I refer my 1:1 measurements to be done in centimeters or such and then do the divide by 6. Easier and more accurate than trying to do it using English system of Feet and inches. But if you must use English system, convert your Feet and inches to just inches, makes the division easier (6' 6" = 78" which = 13" in 1/6th).
 
#16 ·
A conversion factor can be established by multiplying the intended scale by the reciprocal of the initial scale.

e.g.

1/6 to 1/16 would be something like this:

x is the conversion factor

1/6x=1/16
X=(1/16)*(6/1)
X=6/16
X=3/8

So, a 12” figure being 1/6th scale, multiplied by the conversion factor of 3/8:

12*3/8=4.5

Common scales which I deal with would have the following pattern:

1:6 to 1:18 - 1/3
1:6 to 1:32 – 3/16
1:18 to 1:32 – 9/16

I've had pretty good luck with this system.
 
#17 ·
I have done scale conversions before, and its pretty easy.. I just keep a ruler (with various types of measurements) and a calculator nearby. I drew up plans for a 1:350th USS Enterprise recently, using measurements from the 1:1000th version.

Basically, you measure, multiply by 1000, then divide by 350 (for the 1:350th measurements being converted from 1:1000)

So, for example, if you wanted to make a sixth scale world war two fighter and base it on a 1:72nd model, you would take measurements from the model, multiply by 72 (to get the real-world measurements) and then divide THAT number by six.
 
#40 ·
Ah, the only person with the correct answer. Or I should say most precise answer. "0.16666" is the Scale Multiplication Factor for 1:6, it is determined by dividing the numerator (1) by the denominator (6): 1 divided by 6 = 0.16666 . Use a calculator to multiply any dimension/measurement from the original full size (1:1) model by the scale multiplication factor and you have your 1:6 measurement to within 10,000nth's of an inch. One of the best tutorials, great for beginners or old hands, for working with scale is in Shep Paine's book, "Modeling Tanks and Military Vehicles", on Amazon for $12 to $65 and you can probably find it on eBay. It can show you how to determine the scale of drawing, if there is no stated scale (that happens), how to convert one scale to another (a few people seemed confused about that, and there are all sorts of other tips that work in any scale on any figure or model. Paine specializes in plastic model kits and dioramas (he did the dioramas for Monogram years ago that helped to sell their armor kits). Good luck!
 
#19 ·
So, for example, if you wanted to make a sixth scale world war two fighter and base it on a 1:72nd model, you would take measurements from the model, multiply by 72 (to get the real-world measurements) and then divide THAT number by six.
only if they modeled it correctly in scale to begin with.

if you base your calculations on an already scaled model, your 1:6 version will be as equally off-scale as the model potentially is. but if the 1:72 model is accurate, then you have no problem.

i guess the only way to know this is to find out the measurements in 1:1 then divide by 72, but if you have the measurements in 1:1 on hand then you dont even need to bother with the model to begin with.
 
#20 ·
Good point AP. I was thinking about that late last night as I lingered over the M113 thread and the concerns over the vehicle to model's slight underscaling.

For modern vehicles used by the US Military, fas.org has a lot of good measurements and diagrams for this, as would I imagine the manufacturers themselves.

Then there is wikipedia and of course our knowledgeable peers on the forums who engross themselves in so many eras.

I will now withdraw from this thread as the plethora of numberage is making me feel inept.

Btw, good luck and have fun making your dio pdginwis. Look forward to seeing it. :D
 
#22 ·
1:6 to 1:1 conversions

Here is how most people to it.

First, convert the 1/6 scale figure's length to Angstroms. If you measure the figure in feet or inches, you have convert the length to meters, and then to furlongs. (1×10−10 meters in an Angstrom. A meter is 39.37 inches. Furlong = 210.168 meters.) After that, assuming you are at sea level (thank you Laughinggravy2), you can then convert to real scale. You do this by squaring the 1/6 length and then multiply by 1/6. Then divide the length by 6 (to get Answer A) and also, separately, multiply it by 6 (to get Answer B). Measure a full grown friend or neighbor or, if need be, a stranger, in furlongs, if possible. Whichever of Answer A or Answer B is closest to the height (or length if he/she is lying down) is the 1:1 scale measure. Good news, unless your figure is traveling near the speed of light, you do not have to calculate the Lorentz contraction. Also note that, because there are 2.54 centimeters per inch, if your figure is from a country that uses metric, it is automatically gigantic.
 
#23 ·
Well, duh, 86hammer. No need to insult us by stating the obvious formula. We were trying to find a more roundabout way.

You didn't even mention the critical proportion data of how much baking soda to use when yeast isn't available (again, factoring in altitude). That's a pretty silly mistake. Off to the corner....and don't forget the pointy hat.
 
#25 ·
Anti-Personnel said:
only if they modeled it correctly in scale to begin with.
According to Sawgunner, all scale modelling is accurate to within 4%.....

Also, the formulae do not work in Arizona, which does not recognize either them or Daylight Savings Time.
 
#26 ·
Sorry to be so late to this party, but my tried and tru method from a respected Guru of modeling is to multiply the 1/35 dimension by 5.8333. seems way too simple, right ? I wrote this formula on the face of my calculator so I would never forget.