SPHERICAL ANGLE OPENING UP·U+29A1

Character Information

Code Point
U+29A1
HEX
29A1
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 A6 A1
11100010 10100110 10100001
UTF16 (big Endian)
29 A1
00101001 10100001
UTF16 (little Endian)
A1 29
10100001 00101001
UTF32 (big Endian)
00 00 29 A1
00000000 00000000 00101001 10100001
UTF32 (little Endian)
A1 29 00 00
10100001 00101001 00000000 00000000
HTML Entity
⦡
URI Encoded
%E2%A6%A1

Description

The character U+29A1 represents the "Spherical Angle Opening Up" symbol in Unicode. This typographical symbol is rarely used in digital text due to its highly specialized nature. It primarily finds application in mathematical equations, particularly those involving spherical geometry and trigonometry. In these contexts, it signifies an angle opening up from a sphere or the rotation of a vector about a specified axis on a sphere's surface. Despite its rarity in common usage, the "Spherical Angle Opening Up" symbol holds significant importance for researchers and mathematicians working in fields such as astronomy, physics, and computer graphics. There is no notable cultural, linguistic, or general technical context associated with this character, as it serves a very specific mathematical function.

How to type the symbol on Windows

Hold Alt and type 10657 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+29A1. 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+29A1 to binary: 00101001 10100001. 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 10100110 10100001