Manuals/calci/GOLDENANGLE

GOLDENANGLE(isdegrees)

• where $isdegrees$ is the logical value TRUE or FALSE.

GOLDENANGLE() returns the golden angle value in degrees or radians.

Description

• GOLDENANGLE() displays the golden angle in degrees if the argument is TRUE (or 1) and in radians if the argument is FALSE (or 0).

• If 'a' and 'b' are two arcs where 'a' is longer arc and 'b' is smaller arc, then Golden angle is the angle subtended by the smaller arc when two arcs make a circle in golden ratio (φ).

It is represented as -

Golden Angle = ${\frac {a+b}{a}}$ = ${\frac {a}{b}}$ = Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 360(2-φ)}

• The value of Golden Angle is approximately 137.508° or 2.399963 radians.
• Argument $isdegrees$ can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
• If argument $isdegrees$ is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees.
• If argument is invalid, Calci returns a #NULL error message.

Examples

GOLDENANGLE(TRUE) returns 137.5077508875556

GOLDENANGLE(1) returns 137.5077508875556

GOLDENANGLE(FALSE) returns 2.399963

GOLDENANGLE() returns 2.399963

See Also

• GOLDENRATIO

References

• Golden Angle