Miscellaneous Mathematical Symbols-B
Range: 2980–29FF
This file contains an excerpt from the character code tables and list of character names forThe Unicode Standard, Version 16.0
This file may be changed at any time without notice to reflect errata, or other updates to the Unicode Standard.
See https://www.unicode.org/errata/ for an up-to-date list of errata.
See https://www.unicode.org/charts/ for access to a complete list of the latest character code charts. See
https://www.unicode.org/charts/PDF/Unicode-16.0/ for charts showing only the characters added in Unicode 16.0. See
https://www.unicode.org/Public/16.0.0/charts/ for a complete archived file of character code charts for Unicode 16.0. See
https://www.unicode.org/charts/About.html#Conventions for conventions used in these code charts, and other general
information.
Disclaimer
These charts are provided as the online reference to the character contents of the Unicode Standard, Version 16.0 but do
not provide all the information needed to fully support individual scripts using the Unicode Standard. For a complete
understanding of the use of the characters contained in this file, please consult the appropriate sections of The UnicodeStandard, Version 16.0, online at https://www.unicode.org/versions/Unicode16.0.0/, as well as the Unicode Standard
Annexes, the other Unicode Technical Reports and Standards, and the Unicode Character Database, which are available
online.
See https://www.unicode.org/ucd/ and https://www.unicode.org/reports/
A thorough understanding of the information contained in these additional sources is required for a successful
implementation.
Fonts
The shapes of the reference glyphs used in these code charts are not prescriptive. Considerable variation is to be
expected in actual fonts.
See https://www.unicode.org/charts/fonts.html for a list.
Terms of Use© 1991–2024 Unicode, Inc. This publication is protected by copyright, and permission must be obtained from Unicode,
Inc. prior to any reproduction, modification, or other use not permitted by the Terms of Use(https://www.unicode.org/copyright.html). Specifically, you may make copies of this publication and may annotate andtranslate it solely for personal or internal business purposes and not for public distribution, provided that any suchpermitted copies and modifications fully reproduce all copyright and other legal notices contained in the original. Youmay not make copies of or modifications to this publication for public distribution, or incorporate it in whole or in part
into any product or publication without the express written permission of Unicode.
The Unicode Consortium specifically grants ISO a license to produce such code charts with their associated characternames list to show the repertoire of characters for that standard, as a normatively referenced, integral part of thatstandard.
Unicode uses most fonts under restricted license from the original font owner. You may not extract, copy, modify, or
distribute fonts or font data from any Unicode Products, including this publication, without license from the font owner.
Use of all Unicode Products, including this publication, is governed by the Unicode Terms of Use(https://www.unicode.org/copyright.html). The authors, contributors, and publishers have taken care in the preparation ofthis publication, but make no express or implied representation or warranty of any kind and assume no responsibility orliability for errors or omissions or for consequential or incidental damages that may arise therefrom. This publication isprovided “AS-IS” without charge as a convenience to users.
Unicode and the Unicode Logo are registered trademarks of Unicode, Inc., in the United States and other countries.

2980

Miscellaneous Mathematical Symbols-B

2980⦀
2980

1⦁2981

2⦂298235B⦇
⦈⦉⦊

29C229D229E1

29E229F129F22993

29A329B329C329D329E329F329A429B429C429D4

29E429F42995

2996

29A529A629B529B629C529C629D529D629E529E6

⦗ ⦧ ⦷ ⧇ ⧗ ⧧

2997

29A729B729C729D7

29E729F529F6

⧷

29F7

⦘ ⦨ ⦸ ⧈ ⧘ ⧨ ⧸
29B829C829D829E829F82998

29A8

⦙⦩ ⦹ ⧉ ⧙ ⧩ ⧹

2999

29A929B929C929D929E929F9

⦚ ⦪ ⦺ ⧊ ⧚ ⧪ ⧺
29AA

29BA

29CA

29DA

29EA

29FA

299A

⦋⦛ ⦫ ⦻ ⧋ ⧛ ⧫ ⧻⦌⦜ ⦬ ⦼ ⧌ ⧜ ⧬ ⧼⦍⦝ ⦭ ⦽ ⧍ ⧝ ⧭ ⧽⦎⦞ ⦮ ⦾ ⧎ ⧞ ⧮ ⧾⦏⦟ ⦯ ⦿ ⧏ ⧟ ⧯ ⧿

298E

F

29B2

29D1

298A

298D

E

29A2

29C1

⦖ ⦦ ⦶ ⧆ ⧖ ⧦ ⧶

298C

D

⦢ ⦲ ⧂ ⧒ ⧢ ⧲

29B1

29F0

⦆

298B

C

⦒

2992

29A1

29E0

⦕ ⦥ ⦵ ⧅ ⧕ ⧥ ⧵

2989

A

⦡ ⦱ ⧁ ⧑ ⧡ ⧱

29D0

29F

⦅

2988

9⦑2991

29C0

29E

2994

2987

8

⦠ ⦰ ⧀ ⧐ ⧠ ⧰
29B0

29D

2984

29867⦐

29A029C

⦄ ⦔ ⦤ ⦴ ⧄ ⧔ ⧤ ⧴2985

629A

⦃ ⦓ ⦣ ⦳ ⧃ ⧓ ⧣ ⧳
2983

4299

2990

29B

29FF

298F

299B

299C

299D

299E

299F

29AB

29AC

29AD

29AE

29AF

29BB

29BC

29BD

29BE

29BF

29CB

29CC

29CD

29CE

29CF

29DB

29DC

29DD

29DE

29DF

29EB

29EC

29ED

29EE

29EF

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

29FB

29FC

29FD

29FE

29FF

291

2980

Miscellaneous Mathematical Symbols-B

29BE

⦜

RIGHT ANGLE VARIANT WITH SQUARE→ 221F ∟ right angle
299D ⦝ MEASURED RIGHT ANGLE WITH DOT299E ⦞ ANGLE WITH S INSIDE
299F ⦟ ACUTE ANGLE→ 2220 ∠ angle
29A0 ⦠ SPHERICAL ANGLE OPENING LEFT
→ 2222 ∢ spherical angle
29A1 ⦡ SPHERICAL ANGLE OPENING UP
29A2 ⦢ TURNED ANGLE→ 2220 ∠ angleBrackets
29A3 ⦣ REVERSED ANGLE
2983 ⦃ LEFT WHITE CURLY BRACKET
29A4 ⦤ ANGLE WITH UNDERBAR
2984 ⦄ RIGHT WHITE CURLY BRACKET
29A5 ⦥ REVERSED ANGLE WITH UNDERBAR
2985 ⦅ LEFT WHITE PARENTHESIS
29A6 ⦦ OBLIQUE ANGLE OPENING UP→ 2E28 ⸨ left double parenthesis
29A7 ⦧ OBLIQUE ANGLE OPENING DOWN
→ FF5F ｟ fullwidth left white parenthesis
29A8 ⦨ MEASURED ANGLE WITH OPEN ARM ENDING
2986 ⦆ RIGHT WHITE PARENTHESISIN ARROW POINTING UP AND RIGHT• used for Bourbakist intervals
29A9 ⦩ MEASURED ANGLE WITH OPEN ARM ENDING→ 2E29 ⸩ right double parenthesis
IN ARROW POINTING UP AND LEFT
→ FF60 ｠ fullwidth right white parenthesis
29AA ⦪ MEASURED ANGLE WITH OPEN ARM ENDING
2987 ⦇ Z NOTATION LEFT IMAGE BRACKETIN ARROW POINTING DOWN AND RIGHT
2988 ⦈ Z NOTATION RIGHT IMAGE BRACKET
29AB ⦫ MEASURED ANGLE WITH OPEN ARM ENDING
IN ARROW POINTING DOWN AND LEFT
2989 ⦉ Z NOTATION LEFT BINDING BRACKET
29AC ⦬ MEASURED ANGLE WITH OPEN ARM ENDING
298A ⦊ Z NOTATION RIGHT BINDING BRACKETIN ARROW POINTING RIGHT AND UP
298B ⦋ LEFT SQUARE BRACKET WITH UNDERBAR
29AD ⦭ MEASURED ANGLE WITH OPEN ARM ENDING
298C ⦌ RIGHT SQUARE BRACKET WITH UNDERBAR
IN ARROW POINTING LEFT AND UP
Brackets with ticks
29AE ⦮ MEASURED ANGLE WITH OPEN ARM ENDINGFor bidirectional processing, the brackets with ticks are paired
IN ARROW POINTING RIGHT AND DOWN
on the basis of their left/right symmetric glyphs, rather than
29AF ⦯ MEASURED ANGLE WITH OPEN ARM ENDING
on the basis of an open/close pairing inferred from code point
IN ARROW POINTING LEFT AND DOWNorder.
Empty sets
298D ⦍ LEFT SQUARE BRACKET WITH TICK IN TOP
29B0 ⦰ REVERSED EMPTY SETCORNER→ 2205 ∅ empty set
298E ⦎ RIGHT SQUARE BRACKET WITH TICK IN→ 2349 ⍉ apl functional symbol circle backslash
BOTTOM CORNER
298F ⦏ LEFT SQUARE BRACKET WITH TICK IN BOTTOM 29B1 ⦱ EMPTY SET WITH OVERBAR
29B2 ⦲ EMPTY SET WITH SMALL CIRCLE ABOVECORNER
29B3 ⦳ EMPTY SET WITH RIGHT ARROW ABOVE
2990 ⦐ RIGHT SQUARE BRACKET WITH TICK IN TOP
29B4 ⦴ EMPTY SET WITH LEFT ARROW ABOVECORNER

Miscellaneous mathematical symbols
2980 ⦀ TRIPLE VERTICAL BAR DELIMITER→ 2AF4 ⫴ triple vertical bar binary relation→ 2AFC ⫼ large triple vertical bar operator
2981 ⦁ Z NOTATION SPOT
• medium-small-sized black circle→ 2219 ∙ bullet operator→ 25CF ● black circle
2982 ⦂ Z NOTATION TYPE COLON→ 0F7F Ù tibetan sign rnam bcad

299C

Brackets
2991 ⦑2992 ⦒2993 ⦓2994 ⦔2995 ⦕
2996 ⦖2997 ⦗Circle symbols
29B5 ⦵ CIRCLE WITH HORIZONTAL BAR• used in superscripted form to mean standard
state (chemistry)→ 2296 ⊖ circled minus
29B6 ⦶ CIRCLED VERTICAL BAR→ 1F715 É alchemical symbol for nitre
29B7 ⦷ CIRCLED PARALLEL
29B8 ⦸ CIRCLED REVERSE SOLIDUS
29B9 ⦹ CIRCLED PERPENDICULAR
29BA ⦺ CIRCLE DIVIDED BY HORIZONTAL BAR ANDTOP HALF DIVIDED BY VERTICAL BAR
29BB ⦻ CIRCLE WITH SUPERIMPOSED X→ 2297 ⊗ circled times
29BC ⦼ CIRCLED ANTICLOCKWISE-ROTATED DIVISIONSIGN
29BD ⦽ UP ARROW THROUGH CIRCLE
29BE ⦾ CIRCLED WHITE BULLET→ 229A ⊚ circled ring operator→ 233E ⌾ apl functional symbol circle jot→ 25CE ◎ bullseye

2998

⦘Fences2999 ⦙299A

⦚Angles
299B ⦛

292

LEFT ANGLE BRACKET WITH DOTRIGHT ANGLE BRACKET WITH DOTLEFT ARC LESS-THAN BRACKET
RIGHT ARC GREATER-THAN BRACKETDOUBLE LEFT ARC GREATER-THAN BRACKETDOUBLE RIGHT ARC LESS-THAN BRACKETLEFT BLACK TORTOISE SHELL BRACKET→ 27EC ⟬ mathematical left white tortoise shellbracket→ 3014 〔 left tortoise shell bracket→ 3018 〘 left white tortoise shell bracket
RIGHT BLACK TORTOISE SHELL BRACKETDOTTED FENCE• four close dots vertical
VERTICAL ZIGZAG LINE→ 2307 ⌇ wavy line
MEASURED ANGLE OPENING LEFT
→ 2221 ∡ measured angle

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

29BF

29BF

29C0
29C1
29C2
29C3

Miscellaneous Mathematical Symbols-B

⦿ CIRCLED BULLET• forms part of a graduated set of circles withenclosed black circle of different sizes→ 2299 ⊙ circled dot operator→ 25C9 ◉ fisheye→ 2A00 ⨀ n-ary circled dot operator
⧀ CIRCLED LESS-THAN
⧁ CIRCLED GREATER-THAN
⧂ CIRCLE WITH SMALL CIRCLE TO THE RIGHT⧃ CIRCLE WITH TWO HORIZONTAL STROKES TOTHE RIGHT

Square symbols
29C4 ⧄ SQUARED RISING DIAGONAL SLASH→ 2341 ⍁ apl functional symbol quad slash→ 303C 〼 masu mark29C5 ⧅ SQUARED FALLING DIAGONAL SLASH→ 2342 ⍂ apl functional symbol quad backslash
29C6 ⧆ SQUARED ASTERISK
29C7 ⧇ SQUARED SMALL CIRCLE→ 233B ⌻ apl functional symbol quad jot
29C8 ⧈ SQUARED SQUARE
29C9 ⧉ TWO JOINED SQUARES→ 2BBA ⮺ overlapping white squaresTriangle symbols
29CA ⧊ TRIANGLE WITH DOT ABOVE
29CB ⧋ TRIANGLE WITH UNDERBAR
29CC ⧌ S IN TRIANGLE
29CD ⧍ TRIANGLE WITH SERIFS AT BOTTOM→ 25B3 △ white up-pointing triangle
29CE ⧎ RIGHT TRIANGLE ABOVE LEFT TRIANGLE
29CF ⧏ LEFT TRIANGLE BESIDE VERTICAL BAR
29D0 ⧐ VERTICAL BAR BESIDE RIGHT TRIANGLE
Bowtie symbols
29D1 ⧑ BOWTIE WITH LEFT HALF BLACK→ 22C8 ⋈ bowtie
29D2 ⧒ BOWTIE WITH RIGHT HALF BLACK
29D3 ⧓ BLACK BOWTIE→ 1FB9B 🮛 left and right triangular half block
29D4 ⧔ TIMES WITH LEFT HALF BLACK→ 22C9 ⋉ left normal factor semidirect product
29D5 ⧕ TIMES WITH RIGHT HALF BLACK→ 22CA ⋊ right normal factor semidirectproduct
29D6 ⧖ WHITE HOURGLASS= vertical bowtie= white framus→ 231B ⌛ hourglass
29D7 ⧗ BLACK HOURGLASS→ 1FB9A 🮚 upper and lower triangular halfblockFences
29D8 ⧘
29D929DA
29DB

⧙⧚⧛LEFT WIGGLY FENCE→ FE34 ︴ presentation form for vertical wavylow line
RIGHT WIGGLY FENCELEFT DOUBLE WIGGLY FENCERIGHT DOUBLE WIGGLY FENCE

Miscellaneous mathematical symbols
29DC ⧜ INCOMPLETE INFINITY= ISOtech entity &iinfin;→ 221E ∞ infinity

29F729DD ⧝ TIE OVER INFINITY
29DE ⧞ INFINITY NEGATED WITH VERTICAL BAR
29DF ⧟ DOUBLE-ENDED MULTIMAP→ 22B8 ⊸ multimap→ 1F73A î alchemical symbol for arsenic
29E0 ⧠ SQUARE WITH CONTOURED OUTLINE= D'Alembertian→ 274F ❏ lower right drop-shadowed whitesquare
29E1 ⧡ INCREASES AS→ 22B4 ⊴ normal subgroup of or equal to29E2 ⧢ SHUFFLE PRODUCT→ 22FF ⋿ z notation bag membership
Relations
29E3 ⧣ EQUALS SIGN AND SLANTED PARALLEL→ 0023 # number sign
→ 22D5 ⋕ equal and parallel to
29E4 ⧤ EQUALS SIGN AND SLANTED PARALLEL WITH
TILDE ABOVE
29E5 ⧥ IDENTICAL TO AND SLANTED PARALLEL→ 2A68 ⩨ triple horizontal bar with double
vertical stroke
29E6 ⧦ GLEICH STARK= tautological equivalent
Miscellaneous mathematical symbols
29E7 ⧧ THERMODYNAMIC= record mark• vertical bar crossed by two horizontals→ 2260 ≠ not equal to→ 2BD2 ⯒ group mark29E8 ⧨ DOWN-POINTING TRIANGLE WITH LEFT HALFBLACK→ 25ED ◭ up-pointing triangle with left halfblack
29E9 ⧩ DOWN-POINTING TRIANGLE WITH RIGHT HALFBLACK→ 25EE ◮ up-pointing triangle with right half
black
29EA ⧪ BLACK DIAMOND WITH DOWN ARROW
29EB ⧫ BLACK LOZENGE→ 25CA ◊ lozenge
29EC ⧬ WHITE CIRCLE WITH DOWN ARROW
29ED ⧭ BLACK CIRCLE WITH DOWN ARROW
Error bar symbols
29EE ⧮ ERROR-BARRED WHITE SQUARE
29EF ⧯ ERROR-BARRED BLACK SQUARE
29F0 ⧰ ERROR-BARRED WHITE DIAMOND29F1 ⧱ ERROR-BARRED BLACK DIAMOND
29F2 ⧲ ERROR-BARRED WHITE CIRCLE
29F3 ⧳ ERROR-BARRED BLACK CIRCLE
Miscellaneous mathematical symbols
29F4 ⧴ RULE-DELAYED= colon right arrow
29F5 ⧵ REVERSE SOLIDUS OPERATOR→ 005C \ reverse solidus→ 2216 ∖ set minus→ 27CD ⟍ mathematical falling diagonal
29F6 ⧶ SOLIDUS WITH OVERBAR
29F7 ⧷ REVERSE SOLIDUS WITH HORIZONTAL STROKE→ 2340 ⍀ apl functional symbol backslash bar

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

29329F8Miscellaneous Mathematical Symbols-B

29FFLarge operators
29F8 ⧸ BIG SOLIDUS→ 2215 ∕ division slash
29F9 ⧹ BIG REVERSE SOLIDUS= z notation schema hiding→ 2216 ∖ set minus
Specialized plus sign operators
29FA ⧺ DOUBLE PLUS
29FB ⧻ TRIPLE PLUS
Brackets
29FC ⧼ LEFT-POINTING CURVED ANGLE BRACKET→ 227A ≺ precedes→ 2329 〈 left-pointing angle bracket
29FD ⧽ RIGHT-POINTING CURVED ANGLE BRACKET→ 227B ≻ succeeds→ 232A 〉 right-pointing angle bracket
Symbols used in game theory
TINY (pronounced "teenie") and MINY (pronounced "meenie")
are symbols that yield infinitesimal values when applied tonumbers in combinatorial game theory.
29FE ⧾ TINY
→ 002B + plus sign
29FF ⧿ MINY→ 2212 − minus sign

294

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.