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Herb, do you have a good reference for the "Math" aspect of the problem?
I will try and describe how I arrive at it. This was a contest called the 2X4 challenge where we had it make an item out of a 2X4X8'.
Top OD=13
Bottom OD=10
Height=12"
Circumference of the top C=╥d, =╥13,=3.14X13=40.82"
Circumference of bottom C=╥10= 3.14X10=31.4"
width of each stave =1.25"@top
number of staves = 40.82/1.25 =32.65 ( round off to32 staves)
New Top circumference = 32 X 1.25 =40"
Bottom C/#staves=width of bottom of stave=31.4"/32=.981", (round off to 1")
New Bottom C =32"
The degree of bevel each side is C/#staves/2= 360°/32/2= 11.25°/2=5.62° each side

I ripped the staves 3/4"thick X 1 1/2"X12"
Using 2 jigs I made to then rip each side, on a tapered angle and bevel.

I hope you can understand this.

Herb
 

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Discussion Starter #23
Hex Boxes

Two More smaller Hex Boxes; Ready for Teak Oil. Dementions are 5" by 4", Maple and Padauk; smaller one is 4" by 4" Maple and Zebrawood. Just playing with scrap pieces of hardwood. Got the glue -ups solved with tiny dowels holding bottom plate in place while glue dries. Thanks for all your help & Thanks for looking in!
 

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I will try and describe how I arrive at it. This was a contest called the 2X4 challenge where we had it make an item out of a 2X4X8'.
Top OD=13
Bottom OD=10
Height=12"
Circumference of the top C=╥d, =╥13,=3.14X13=40.82"
Circumference of bottom C=╥10= 3.14X10=31.4"
width of each stave =1.25"@top
number of staves = 40.82/1.25 =32.65 ( round off to32 staves)
New Top circumference = 32 X 1.25 =40"
Bottom C/#staves=width of bottom of stave=31.4"/32=.981", (round off to 1")
New Bottom C =32"
The degree of bevel each side is C/#staves/2= 360°/32/2= 11.25°/2=5.62° each side

I ripped the staves 3/4"thick X 1 1/2"X12"
Using 2 jigs I made to then rip each side, on a tapered angle and bevel.

I hope you can understand this.

Herb


Herb...isn't it 360/32=11.25...? Rather than 360/32/2=11.25...?
 

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Two More smaller Hex Boxes; Ready for Teak Oil. Dementions are 5" by 4", Maple and Padauk; smaller one is 4" by 4" Maple and Zebrawood. Just playing with scrap pieces of hardwood. Got the glue -ups solved with tiny dowels holding bottom plate in place while glue dries. Thanks for all your help & Thanks for looking in!
Outstanding job, Those are beautiful.
Herb
 

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Herb...isn't it 360/32=11.25...? Rather than 360/32/2=11.25...?
You are right, Nick the interior angle of the triangle is 11.25°, which means the other two angles of the triangle are 84.375° each, then the angle of cut is 90°-84.375°=5.625°.

My memory is slipping.
Herb
 

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You are right, Nick the interior angle of the triangle is 11.25°, which means the other two angles of the triangle are 84.375° each, then the angle of cut is 90°-84.375°=5.625°.

My memory is slipping.
Herb

Don't think it's memory...it was the center slide on your Cooke Radio Slide Rule that slipped...:grin::grin::grin:
 
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