Character Information

Code Point
U+29E2
HEX
29E2
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 A7 A2
11100010 10100111 10100010
UTF16 (big Endian)
29 E2
00101001 11100010
UTF16 (little Endian)
E2 29
11100010 00101001
UTF32 (big Endian)
00 00 29 E2
00000000 00000000 00101001 11100010
UTF32 (little Endian)
E2 29 00 00
11100010 00101001 00000000 00000000
HTML Entity
⧢
URI Encoded
%E2%A7%A2

Description

The Unicode character U+29E2, known as the "Shuffle Product", is primarily used in mathematical equations, specifically within the field of combinatorial mathematics. It represents a specific operation where elements from two sets are combined to form a product. This symbol is particularly useful in digital text, such as in scientific documents, research papers, and computer programs related to mathematics and computer science. While it may not have significant cultural or linguistic context, its technical use is essential for accurate representation of certain mathematical concepts and operations. The Shuffle Product character is an important tool for those who work with combinatorial structures, permutations, and combinations in their research or professional endeavors.

How to type the symbol on Windows

Hold Alt and type 10722 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+29E2. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+29E2 to binary: 00101001 11100010. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10100111 10100010