Aspect ratio diagnostic

You can work with mesh aspect ratios in either normalized or standard format.

Normalized is recommended, however, use standard when attempting to maintain compatibility with previous Autodesk products.

Find below the definitions of normalized aspect ratio and standard aspect ratio.

Note: AR refers to Aspect Ratio

Normalized

For 2-dimensional mesh:

AR (4 * SQRT (3) * Area of triangle) / sum of squares of edge lengths.
Range From 0.0 (straight line) to 1.0 (equilateral triangle).

Standard

For 2-dimensional mesh:

AR longest side squared / (2 * triangle area)
Range From 1.16 (equilateral triangle) to infinity (straight line).

For 3-dimensional mesh:

AR longest edge length / (shortest perpendicular height) * sqrt(1.5)
Range From 1.16 (equilateral tetra) to infinity (flat tetra).