24 minutes ago, DAB said:

I was told there would be no math…..

 

Hmmmm....that doesn't add up.

2 hours ago, HandyDan said:

 

Hmmmm....that doesn't add up.

go figure....

1 hour ago, DAB said:

go figure....

Who says it has to figure. If I have to calculate I just experiment

On 9/12/2022 at 6:13 AM, Woodman said:

... and seemed surprised square root has a place in woodworking. As was I.  x = √ (width x length)

 

 

I am fond of "straightedge and compass" constructions.  Probably dates back to my Jr. High days.  There are lots of ways to do those things that don't involve measuring.  Just one example is drawing a curve or even finding the center of a curve thru 3 non-linear points.

On 9/12/2022 at 11:01 AM, Gerald said:

Who says it has to figure. If I have to calculate I just experiment

On 9/10/2022 at 6:32 AM, Woodman said:

x = √ (width x length), the DAB Formula to Maximize Area With Limited Stock,

Okay, now that our brains are up to 10%, time to turn our attention to a new problem opportunity:

 

I've got eight pieces 8mm x 15mm x 900mm and want to maximize stock to crate a cube of parquet . . . 

1 hour ago, Woodman said:

Okay, now that our brains are up to 10%, time to turn our attention to a new problem opportunity:

 

I've got eight pieces 8mm x 15mm x 900mm and want to maximize stock to crate a cube of parquet . . . 

metric??? c'mon man....

 

you want to make a cube, like 3D, same dimension in 3 axis (up/down, left/right, front/back.

 

ok, so your volume of material 8x15x900 = 108,000.  cube root of that is 47.62 and change.

 

3x15 = 45

 

6x8 = 48

 

so to minimize kerf waste, a cube of 45 is what i'd shoot for.  nicely, 900/45 = 20 - but you'll have kerf waste, so maybe shoot for 44x44x44 or so?  and a hand full of scraps leftover.

 

i don't know what your kerf is in mm....so i'll leave that to you to figure out, having to cut the 900 into 20 pieces, that will result in 19 kerfs, shortening the net length.  say kerf is 3mm, 19x3 = 57.  900-57 = 843.  843/20=42.15

 

so a cube of 42 on each side is doable when you account for the kerfs.

oh wait, i just read that you have 8 of these pieces....well, let me try again.

 

108,000 * 8 = 864,000.  cube root is 95.24

 

so maybe 90mm on a side to keep the math easy?

1 hour ago, DAB said:

so maybe 90mm on a side to keep the math easy?

3 1/2 inches. Seems short but I think that is right.  I have some bad board I can bury but would rather remove. And after it is shaved square and all, I'll have maybe a pretty spiffy 3.125" cube. 

 

I went with metric to avoid wacky fractions and to get a more exact measurement. My mini-caliper is both metric and the King's Ruler but got in the metric habit working on fiddles. Where sub-millimeter adjustments change tone dramatically ...

 

I've been using the DAB Formula to Maximize Area With Limited Stock pretty frequently and can get my iPhone to spit out answers as fast as talking. And shared it with a few woodworkers. They always "Huh" when they have to turn it over in their heads. But once learned, it is easy.

DAB Formula to Maximize Cubical Dimensions With Limited Stock  

 

x = ∛(width * thickness * length)

Everyone is over thinking this, it is quite basic. If the cube is made from wood, the kerf would reflect the shadow of Pluto's 3rd moon, the volume of the cube would be green, so the square root would be the same as the height of my neighbors Christmas tree, it's not rocket science!

now if you made a hollow cube......

 

you'd have to figure 1/6th of the square root of the total surface area....

 

15 (width)*900(length)*8(pieces)=108,000

 

108,000/6=18000

 

sqrt 18000=134.16

 

so a cube of 134 or so on each side.

 

make it 130 for even numbers.

or just over 5" on a side.

 

fill it with lead shot, make it heavy.

I had six slats, not eight. Each slat is multiple strips, laminate cutoffs from 2-3 jobs, as more was laminated on then trimmed off.

 

I asked my phone, "cubed root of (8 * 90 * 900)" and end up with 3.41"

 

I'll make the cube as pretty as can be but it'll get sliced into parquet thin enough to be translucent. The sunlight is going to DANCE through these panels.  Fusion-powered lighting. I'm thinking of getting an 80T thin kerf for the TS. What I really want / need is a sponsor  What you might also call a wife with a great job.

 

These are ≤ 8mm x 15mm

 

Edited November 24, 20223 yr by Woodman
Free advice: Don't buy used tools from a guy named "Rusty"

GIGO

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4 hours ago, Kenny Tarmack said:

Everyone is over thinking this, it is quite basic. If the cube is made from wood, the kerf would reflect the shadow of Pluto's 3rd moon, the volume of the cube would be green, so the square root would be the same as the height of my neighbors Christmas tree, it's not rocket science!

Finally, math made easy. Thanks Kenny. 

5 hours ago, Kenny Tarmack said:

Everyone is over thinking this, it is quite basic. If the cube is made from wood, the kerf would reflect the shadow of Pluto's 3rd moon, the volume of the cube would be green, so the square root would be the same as the height of my neighbors Christmas tree, it's not rocket science!

 

Hooo boy!  Now we're getting into the biophysical side of it.  Youse guys are above my pay grade. 

On 11/23/2022 at 8:21 PM, Woodman said:

DAB Formula to Maximize Cubical Dimensions With Limited Stock  

More fun upcoming!  Maximizing both flats and volumes! 

Math, mostly the geometry part of it, has plenty of use in the furniture designs I've done.  Sq.Rt. of 2 makes a nice ratio for a table top that is the same ratio when folded in half:  https://4dfurniture.blogspot.com/2023/07/another-useful-geometry-application.html

 

Sq.Rt of 3 makes for a good drop leaf table that is the same ratio when rotated and two sides are dropped down:  https://4dfurniture.blogspot.com/2023/07/drop-leaf-table-design-and-square-root.html

 

I also had a few students tackle using the golden ratio in their designs over the years.   If there is a mathematical basis for a design then it always adds some interest to the story you can tell about it.    

4D

I’m just happy when my 4 legged table doesn’t rock.