(2021-06-06, 23:16)Travis Cobbs Wrote: By doing it right and comparing.

- Compute the X and Z for the given angle using sin and cos and a radius of 1.

- Round each number to 4 decimal places.

- Multiply the rounded numbers by the desired radius.

Here are the calculations:

1)

1-4edge.dat consists of a quarter circle of radius 1 with three points between the end points.

The angles of the three points to put into cos and sin in order to get the coordinates of the points are:

1*PI/8

2*PI/8

3*PI/8

cos and sin for the four angles give us the points (note the symmetries and redo these computations by pasting the left hand sides into google):

cos(1*PI/8) = 0.92387953251

cos(2*PI/8) = 0.70710678118

cos(3*PI/8) = 0.38268343236

sin(1*PI/8) = 0.38268343236

sin(2*PI/8) = 0.70710678118

sin(3*PI/8) = 0.92387953251

2)

Rounding these to 4 decimals

0.92387953251 -> 0.9239

0.70710678118 -> 0.7071

0.38268343236 -> 0.3827

This shows that the values of 1-4edge.dat are correct. The content is copied below for transparency:

2 24 1 0 0 0.9239 0 0.3827

2 24 0.9239 0 0.3827 0.7071 0 0.7071

2 24 0.7071 0 0.7071 0.3827 0 0.9239

2 24 0.3827 0 0.9239 0 0 1

3)

Since the points of 1-4edge.dat are correct, the points of 1-4ring5.dat can be computed as in my previous post. Recall that the points of 1-4ring5.dat span from the quarter circle of diameter 5 to the quarter circle of diameter 6:

5 0 0

4.6195 0 1.9135

3.5355 0 3.5355

1.9135 0 4.6195

0 0 5

6 0 0

5.5434 0 2.2962

4.2426 0 4.2426

2.2962 0 5.5434

0 0 6

Which differ from the points in the official file where highlighted.

Final calculations done in JS console, by:

'1 0 0 0.9239 0 0.3827 0.7071 0 0.7071 0.3827 0 0.9239 0 0 1'.split(' ').map(x => 5*x).join(' ');

'1 0 0 0.9239 0 0.3827 0.7071 0 0.7071 0.3827 0 0.9239 0 0 1'.split(' ').map(x => 6*x).join(' ');

Shall I start submitting the fixed files to Chris?