Home: go to the homepage U+2980 to U+29FF Miscellaneous Mathematical Symbols-B
Glyph for U+29FF
Source: Noto Sans Math

U+29FF Miny

U+29FF was added in Unicode version 3.2 in 2002. It belongs to the block U+2980 to U+29FF Miscellaneous Mathematical Symbols-B in the U+0000 to U+FFFF Basic Multilingual Plane.

This character is a Math Symbol and is commonly used, that is, in no specific script.

The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is not mirrored. The word that U+29FF forms with similar adjacent characters prevents a line break inside it.

The Wikipedia has the following information about this codepoint:

In combinatorial game theory, a branch of mathematics studying two-player games of perfect information in extensive form, tiny and miny are operators that transform one game into another. When applied to a number (represented as a game according to the mathematics of surreal numbers) they yield infinitesimal values.

For any game or number G, tiny G (denoted by ⧾G in many texts) is the game {0|{0|-G}}, using the bracket notation for combinatorial games in which the left side of the vertical bar lists the game positions that the left player may move to, and the right side of the bar lists the positions that the right player can move to. In this case, this means that left can end the game immediately, or on the second move, but right can reach position G if allowed to move twice in a row. This is generally applied when the value of G is positive (representing an advantage to right); tiny G is better than nothing for right, but far less advantageous. Symmetrically, miny G (analogously denoted ⧿G) is tiny G's negative, or {{G|0}|0}.

Tiny and miny aren't just abstract mathematical operators on combinatorial games: tiny and miny games do occur "naturally" in such games as toppling dominoes. Specifically, tiny n, where n is a natural number, can be generated by placing two black dominoes outside n + 2 white dominoes.

Tiny games and up have certain curious relational characteristics. Specifically, though ⧾G is infinitesimal with respect to ↑ for all positive values of x, ⧾⧾⧾G is equal to up. Expansion of ⧾⧾⧾G into its canonical form yields {0|{{0|{{0|{0|-G}}|0}}|0}}. While the expression appears daunting, some careful and persistent expansion of the game tree of ⧾⧾⧾G + ↓ will show that it is a second player win, and that, consequently, ⧾⧾⧾G = ↑. Similarly curious, mathematician John Horton Conway noted, calling it "amusing," that "↑ is the unique solution of ⧾G = G." Conway's assertion is also easily verifiable with canonical forms and game trees.

Representations

System Representation
10751
UTF-8 E2 A7 BF
UTF-16 29 FF
UTF-32 00 00 29 FF
URL-Quoted %E2%A7%BF
HTML hex reference ⧿
Wrong windows-1252 Mojibake ⧿
Encoding: GB18030 (hex bytes) 81 38 8A 35

Elsewhere

Complete Record

Property Value
Age (age) 3.2 (2002)
Unicode Name (na) MINY
Unicode 1 Name (na1)
Block (blk) Miscellaneous Symbols
General Category (gc) Math Symbol
Script (sc) Common
Bidirectional Category (bc) Other Neutral
Combining Class (ccc) Not Reordered
Decomposition Type (dt) none
Decomposition Mapping (dm) Glyph for U+29FF Miny
Lowercase (Lower)
Simple Lowercase Mapping (slc) Glyph for U+29FF Miny
Lowercase Mapping (lc) Glyph for U+29FF Miny
Uppercase (Upper)
Simple Uppercase Mapping (suc) Glyph for U+29FF Miny
Uppercase Mapping (uc) Glyph for U+29FF Miny
Simple Titlecase Mapping (stc) Glyph for U+29FF Miny
Titlecase Mapping (tc) Glyph for U+29FF Miny
Case Folding (cf) Glyph for U+29FF Miny
ASCII Hex Digit (AHex)
Alphabetic (Alpha)
Bidi Control (Bidi_C)
Bidi Mirrored (Bidi_M)
Composition Exclusion (CE)
Case Ignorable (CI)
Changes When Casefolded (CWCF)
Changes When Casemapped (CWCM)
Changes When NFKC Casefolded (CWKCF)
Changes When Lowercased (CWL)
Changes When Titlecased (CWT)
Changes When Uppercased (CWU)
Cased (Cased)
Full Composition Exclusion (Comp_Ex)
Default Ignorable Code Point (DI)
Dash (Dash)
Deprecated (Dep)
Diacritic (Dia)
Emoji Modifier Base (EBase)
Emoji Component (EComp)
Emoji Modifier (EMod)
Emoji Presentation (EPres)
Emoji (Emoji)
Extender (Ext)
Extended Pictographic (ExtPict)
FC NFKC Closure (FC_NFKC) Glyph for U+29FF Miny
Grapheme Cluster Break (GCB) Any
Grapheme Base (Gr_Base)
Grapheme Extend (Gr_Ext)
Grapheme Link (Gr_Link)
Hex Digit (Hex)
Hyphen (Hyphen)
ID Continue (IDC)
ID Start (IDS)
IDS Binary Operator (IDSB)
IDS Trinary Operator and (IDST)
IDSU (IDSU) 0
ID_Compat_Math_Continue (ID_Compat_Math_Continue) 0
ID_Compat_Math_Start (ID_Compat_Math_Start) 0
Ideographic (Ideo)
InCB (InCB) None
Indic Mantra Category (InMC)
Indic Positional Category (InPC) NA
Indic Syllabic Category (InSC) Other
Jamo Short Name (JSN)
Join Control (Join_C)
Logical Order Exception (LOE)
Modifier Combining Mark (MCM)
Math (Math)
Noncharacter Code Point (NChar)
NFC Quick Check (NFC_QC) Yes
NFD Quick Check (NFD_QC) Yes
NFKC Casefold (NFKC_CF) Glyph for U+29FF Miny
NFKC Quick Check (NFKC_QC) Yes
NFKC_SCF (NFKC_SCF) Glyph for U+29FF Miny
NFKD Quick Check (NFKD_QC) Yes
Other Alphabetic (OAlpha)
Other Default Ignorable Code Point (ODI)
Other Grapheme Extend (OGr_Ext)
Other ID Continue (OIDC)
Other ID Start (OIDS)
Other Lowercase (OLower)
Other Math (OMath)
Other Uppercase (OUpper)
Prepended Concatenation Mark (PCM)
Pattern Syntax (Pat_Syn)
Pattern White Space (Pat_WS)
Quotation Mark (QMark)
Regional Indicator (RI)
Radical (Radical)
Sentence Break (SB) Other
Soft Dotted (SD)
Sentence Terminal (STerm)
Terminal Punctuation (Term)
Unified Ideograph (UIdeo)
Variation Selector (VS)
Word Break (WB) Other
White Space (WSpace)
XID Continue (XIDC)
XID Start (XIDS)
Expands On NFC (XO_NFC)
Expands On NFD (XO_NFD)
Expands On NFKC (XO_NFKC)
Expands On NFKD (XO_NFKD)
Bidi Paired Bracket (bpb) Glyph for U+29FF Miny
Bidi Paired Bracket Type (bpt) None
East Asian Width (ea) neutral
Hangul Syllable Type (hst) Not Applicable
ISO 10646 Comment (isc)
Joining Group (jg) No_Joining_Group
Joining Type (jt) Non Joining
Line Break (lb) Alphabetic
Numeric Type (nt) none
Numeric Value (nv) not a number
Simple Case Folding (scf) Glyph for U+29FF Miny
Script Extension (scx)
Vertical Orientation (vo) R