Manuals/calci/GOLDENANGLE

GOLDENANGLE(Isdegrees)

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

GOLDENANGLE() returns the ratio of the length of the larger arc to the smaller is the same as the ratio of the full circumference to the larger.

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 = ${\frac {a+b}{a}}$ = ${\frac {a}{b}}$ = $360(2-\phi ;)$

• The value of Golden Angle is approximately 137.5077508875556° 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 137.5077508875556

Related Videos

GOLDENANGLE

See Also

• GOLDENRATIO

References

• Golden Angle

• List of Main Z Functions

• Z3 home