Mathematics and bushcraft

xylaria

Bushcrafter (boy, I've got a lot to say!)
Greg said:
:yikes: :yikes: :yikes: Reminds me well too much of school!!!!!!

Does to me too. Tipis benders archery etc were all developed without the use of Pythagoras or Newton. My first posting read like an exam question. Good on ESpy to able remember anything of what you learn in school, because IMHO most of it is pretty useless, therefore thats why it is forgotten. The human brain/eye is very good at guessing things like tradjectory and distance, esspecially when combined with experiance. I do enjoy the odd bit of mathmatics though.
 

leon-1

Full Member
xylaria said:
If I was to make a Tipi instead what would the equation be for working out the area of fabric needed?

xylaria as an example we need a few more dimensions, but if I work off 7 feet high and a radius of 7 feet this is what I get;

Conversion from feet to metric I did like this.

7*12= total inches
total inches * 2.54= centimeters
Centimeters / 100= meters

This is the working for area.

Radius=2.1336 meters
Radius squared =4.55224896
Pi (R*R) = 14.30131189

Slant= Square root of (square of height + square of radius)
Slant=3.01736605668
Pi R S=20.2551092346

(Pi (R*R)) + (Pi R Slant) =34.5264211246

That's the end in metric, but working out panel widths along with everything else will mean that you will require a considerably larger amount than this in total as you are going to have to allow for wasteage.
 

xylaria

Bushcrafter (boy, I've got a lot to say!)
leon-1 said:
xylaria as an example we need a few more dimensions, but if I work off 7 feet high and a radius of 7 feet this is what I get;

Conversion from feet to metric I did like this.

7*12= total inches
total inches * 2.54= centimeters
Centimeters / 100= meters

This is the working for area.

Radius=2.1336 meters
Radius squared =4.55224896
Pi (R*R) = 14.30131189

Slant= Square root of (square of height + square of radius)
Slant=3.01736605668
Pi R S=20.2551092346

(Pi (R*R)) + (Pi R Slant) =34.5264211246

That's the end in metric, but working out panel widths along with everything else will mean that you will require a considerably larger amount than this in total as you are going to have to allow for wasteage.


Therefore demostrating in the most elegant of mathematical ways why benders are easier to make:
1)Domes waste less fabric.
2)The maths is easier.
3)A 7ft radius Tipi requires 22 ft lodge poles, and benders require 6d (more old money!) withies.
4)Tescos have a 1.5m radius nylon 'play parachute' on sale for tenner, a squirt of fabsil and I can practise bender building.
 

Greg

Full Member
Jul 16, 2006
4,335
260
Pembrokeshire
leon-1 said:
xylaria as an example we need a few more dimensions, but if I work off 7 feet high and a radius of 7 feet this is what I get;

Conversion from feet to metric I did like this.

7*12= total inches
total inches * 2.54= centimeters
Centimeters / 100= meters

This is the working for area.

Radius=2.1336 meters
Radius squared =4.55224896
Pi (R*R) = 14.30131189

Slant= Square root of (square of height + square of radius)
Slant=3.01736605668
Pi R S=20.2551092346

(Pi (R*R)) + (Pi R Slant) =34.5264211246

That's the end in metric, but working out panel widths along with everything else will mean that you will require a considerably larger amount than this in total as you are going to have to allow for wasteage.

I wonder if the North American Indians worked it out like that?:D
 

leon-1

Full Member
Greg said:
I wonder if the North American Indians worked it out like that?:D

Probably not, but then they did not buy materials at widths of 93 or 186cms and by the meter.

On the other hand they would have a pretty good idea on judgeing by eye, they would of known that the average elk would yield about 20 feet of hide and that approx 7 - 10 hides would probably cover an area this size (this being a relatively small tipi and not quite tall enough to be honest:D).
 

Greg

Full Member
Jul 16, 2006
4,335
260
Pembrokeshire
leon-1 said:
Probably not, but then they did not buy materials at widths of 93 or 186cms and by the meter.

On the other hand they would have a pretty good idea on judgeing by eye, they would of known that the average elk would yield about 20 feet of hide and that approx 7 - 10 hides would probably cover an area this size (this being a relatively small tipi and not quite tall enough to be honest:D).

You too Clever for me!!:)
 

rich59

Maker
Aug 28, 2005
2,217
25
65
London
rich59 said:
Having happily spent ages working out how to assess how far a target is from where I am standing I thought there actually must be loads of maths applications in bushcraft. Some serious and some not so.

So here is a bit about my distance finding:-

How far is that juicy looking mammoth over there so I can accurately sling my atlatl dart at his vital organs?
- I want to creep up to the closest I dare and then sling my dart at the right trajectory. If its 50 paces I won't bother. Is it 30 or 40 paces? Get it wrong and I go over his back or hit the ground in front and he bolts.
- Well, I came up with a number of alternatives. The one I currently favor is to have a "one pace" stick placed on the ground at my throwing point. Then 10 paces back I use a second stick to find two lines from a single point near the beastie that each go though the tips of my "one pace". If I am clever then I can directly read off the distance from said beastie to "one pace" from markings on my 2nd stick.

Then again what are the chances of getting a shot at the mammoth as I busily pace back and forth???

Whats your bushcraft maths?
Thanks Stuart for the links.

Having now been out atlatling round a farm with mock up animals I worked out the following:-

As you creep towards your prey - stop. Measure something constant and close to your prey against your outstretched thumb (or better a ruler) "A". Then creep forward a number of paces (10 is convienient). Then take the measure again "B". It should have got bigger against your thumb or ruler.

With experience or a calculator you can now calculate exactly how far you now have to go to the target compared to how far you have just moved forward

Distance = paces moved forwards [e.g. 10] / ( B / A - 1 )
 

rich59

Maker
Aug 28, 2005
2,217
25
65
London
Plotting graphs is maths - without equations sometimes.

While practicing different distances for atlatl throwing I recorded the elevations of the dart above the straight line to the target needed to hit the target (well try to!). The elevations were recorded as centimetres as seen on a ruler held by my outstretched arm. For instance for one atlatl and dart pair I found:-

10 metres....0 cm elevation
15 metres....4 cm elevation
20 metres....14 cm elevation

and so on

Then I plotted a graph (looked a bit like an exponential curve) and could then read off the predicted elevations needed for other distances as encountered in a field shoot.
 

leon-1

Full Member
rich59 said:
10 metres....0 cm elevation
15 metres....4 cm elevation
20 metres....14 cm elevation

and so on

Then I plotted a graph (looked a bit like an exponential curve) and could then read off the predicted elevations needed for other distances as encountered in a field shoot.

Effectively you were calculating basic trajectories for an object thrown from a set position. Throwing the Atlatl from diferent positions, crouching, kneeling and sitting will change the elevation of the cast, this should allow you to determine the relative drop at shorter ranges, ie;

Sitting it is 5 meters.
kneeling it is 7 meters.
Crouching is 8.5 meters.

You could also probably estimate the velocity of the dart and given a known weight of the dart could work out a number of other things.
 

nobby

Nomad
Jun 26, 2005
370
2
76
English Midlands
rich59 said:
So here is a bit about my distance finding:-

How far is that juicy looking mammoth over there so I can accurately sling my atlatl dart at his vital organs?
- I want to creep up to the closest I dare and then sling my dart at the right trajectory. If its 50 paces I won't bother. Is it 30 or 40 paces? Get it wrong and I go over his back or hit the ground in front and he bolts.

Whats your bushcraft maths?

I'd say there is a major flaw here. Missing the mammoth isn't the problem upsetting it is. In which case the maths is am I too close to get away when the wounded and annoyed beast turns on me?
 

rich59

Maker
Aug 28, 2005
2,217
25
65
London
nobby said:
I'd say there is a major flaw here. Missing the mammoth isn't the problem upsetting it is. In which case the maths is am I too close to get away when the wounded and annoyed beast turns on me?
Hmmm. Anyone know how far is a safe distance from a mammoth? Elephant? Wild boar?
 

nobby

Nomad
Jun 26, 2005
370
2
76
English Midlands
rich59 said:
Hmmm. Anyone know how far is a safe distance from a mammoth? Elephant? Wild boar?

I would have asked the guy out jogging in the African safari park recently about elephants, but he got trampled so was too close.

Wild boar? I'd guess it depends just how wild it is. If you've just grazed it with an arrow it could be pretty wild but they don't climb very well so I'd say 6' up something stout should do. If you take the precaution of standing by a suitable tree before letting the arrow go, and prestashing sandwiches and drink up the aforementioned tree, I'd say 6 seconds to drop bow and remaining arrows and to ascend to join sandwiches. Only a guess though, maybe more if fear has tightened your sphincter to paralysis levels.

Not much chance of coming across a mammoth unless it is a very big and wild boar.
 

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