Turner's CUBE Equations

[Kevingi]

Hi All,

There are a number of ways to define one of these cubes.There's a nice calculator included with GWizard for the dimensions needed for a Turner's Cube with 4 interior cubes. I noticed the ratio of the bore diameter to the cube wall varies with this calculator.


I want to keep this ratio constant so I devised a set of equations to do this. Here they are (SOLIDWORKS):

"S0" = 2 S0 is the length of the outer cube, 2" in this case
"WALL" = .9 WALL is the ratio of the bore diameter to the cube length
"OVRLP" = .05 OVRLP is the ratio defined in the sketch
"D1" = "WALL" * "S0" D1 is the first bore diameter in inches
"S1" = "D1" / 2 / SQR ( "OVRLP" ^ 2 - "OVRLP" + .5 ) S1 is the length of a side of the first inner cube

"H1" = ( "S0" - "S1" ) / 2 H1 is the depth of the bore from the cube face
"D2" = "WALL" * "S1" and so on....
"S2" = "D2" / 2 / SQR ( "OVRLP" ^ 2 - "OVRLP" + .5 )
"H2" = ( "S1" - "S2" ) / 2
"D3" = "WALL" * "S2"
"S3" = "D3" / 2 / SQR ( "OVRLP" ^ 2 - "OVRLP" + .5 )
"H3" = ( "S2" - "S3" ) / 2
"D4" = "WALL" * "S3"
"S4" = "D4" / 2 / SQR ( "OVRLP" ^ 2 - "OVRLP" + .5 )
"H4" = ( "S3" - "S4" ) / 2


I think the result looks nice.


Similar Threads:

• Turner's cube. Depth of cirlcle please
• My first Turner's Cube
• Newbie- EMC2 (linuxcnc) and turner's cube
• Elementary help with equations
• Parametric equations

[Dean448]

This post seems to come up when looking for dimensions on how to build a turners cube.
The problem is that I don't have solid works and the math doesn't work in a spreadsheet.
So I'll post my dimensions as a starting point if you want to try this. I'm sure you can scale it for other cube sizes.

Cube size: 76mm
First dia: 68.60 at 8.5 mm deep
second dia: 50.5 at 16.5
third dia: 36.5 at 23
forth dia: 23 at 28.5