Circled Asterisk Operator

The Mathematical Symbol "Circled Asterisk Operator (⊛)"

homesitemapsymbolscircled asterisk operator

The ⊛ Symbol in Mathematics: Circled Asterisk Operator

While many are familiar with standard mathematical symbols, there exists a vast array of unique and specialized notations that cater to specific purposes. One such notation is the ⊛ symbol, recognized as the "Circled Asterisk Operator".


The ⊛ symbol often appears in advanced mathematical contexts or specialized areas. By combining an asterisk with a circle, this symbol can represent operations or concepts that are different or related to the standard multiplication operation denoted by an asterisk.


  • Example 1: In certain algebraic structures or mathematical contexts:
    \( a ⊛ b \)
    This might imply a specific operation defined over the elements \( a \) and \( b \), which has certain properties or constraints distinct from regular multiplication.
  • Example 2: In graph theory or network analysis:
    Given nodes \( A \) and \( B \), the expression \( A ⊛ B \)
    could symbolize a specialized form of connection or relation between these nodes, different from standard edges or links.

In summary, the ⊛ symbol, although not a mainstay in elementary mathematics, finds its place in specialized fields, adding another layer of depth to mathematical expression. Grasping the nuances of such symbols becomes essential when exploring advanced domains or specific areas of research.

Mathematical symbol 'Circled Asterisk Operator'

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Codes for the ⊛ Symbol

The Symbol
Alt CodeAlt 8859
HTML Code⊛
HTML Entity⊛
CSS Code\229B
Hex Code⊛

How To Insert the ⊛ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ⊛ symbol is to copy and paste it into your document.

Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8859. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#8859;</b>My symbol: ⊛

(Method 4) Use the HTML Entity Code (for webpages).

HTML TextOutput
<b>My symbol: &oast;</b>My symbol: ⊛

(Method 5) Use the CSS Code (for webpages).

CSS and HTML TextOutput
span:after {
content: "\229B";}
<span>My symbol:</span>
My symbol: ⊛

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML TextOutput
<b>My symbol: &#x229B;</b>My symbol: ⊛
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x229B to place the ⊛ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ⊛ is U+229B. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:
[Hold down Alt]
[Press x]

(The 229B turns into ⊛. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u229B. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u229B"
document.write("My symbol: " + str)
My symbol: ⊛

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More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

More Symbols

Full List of Mathematical Symbols