U+2232 "∲" Clockwise Contour Integral Unicode Character

U+2232 "∲" Clockwise Contour Integral is a mathematical symbol representing a contour integral taken in a clockwise direction around a closed loop. It resembles a standard integral sign with a circle in the center, but with the addition of an arrow indicating clockwise orientation, contrasting with the more common counterclockwise variant U+222E. This symbol is typically used in complex analysis and vector calculus for path integrals where the direction of traversal is significant, such as in the formulation of Stokes' theorem or residue calculus, where the sign of the result may depend on the orientation of the closed contour.

General Properties

Code Point	U+2232
Version Added	1.1
Name	Clockwise Contour Integral
Block	Mathematical Operators
General Category	Math Symbol
Canonical Combining Class	Not Reordered
Bidirectional Class	Other Neutral
Mirrored	Yes

Encodings

HTML Decimal Encoding	∲
HTML Hex Encoding	∲
UTF-8 Encoding	0xE2 0x88 0xB2
UTF-16 Encoding	0x2232
UTF-32 Encoding	0x00002232
C/C++/Java Escape	\u2232

Unicode Properties

NFC Quick Check	Yes
NFD Quick Check	Yes
NFKC Quick Check	Yes
NFKD Quick Check	Yes
Numeric Type	None
Numeric Value	NaN
Line Break	Alphabetic
Script	Common
Script Extensions	Common
Indic Syllabic Category	Other
Pattern Syntax	Yes
Math	Yes
Vertical Orientation	Rotated
Grapheme Base	Yes
Grapheme Cluster Break	Other
Word Break	Other
Sentence Break	Other