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∞

infinity

Infinity

The infinity sign ∞ means without end or bound: in maths, an unbounded quantity rather than a number you can reach. Outside formulas it stands for forever, as in lasting love, loyalty or memory. The sign is younger than it looks: John Wallis introduced it in 1655.

Text symbol
Also called
lemniscate · lazy eight
Search it as
infinity sign · infinity symbol · sideways eight · forever symbol · infin · \infty
Shows up in
Anything that takes text · its shape is whatever your font draws

What ∞ means

It means without a finite end or boundary. In a formula, ∞ marks an unbounded quantity, process or direction, such as a value growing without stopping. It is not an ordinary number you can count up to.

The idea is far older than the glyph. Ancient Greek thinkers argued about endless division and limitless space, and about whether infinity could ever be complete or could only keep going.

The sign itself first appears in 1655, in English mathematician John Wallis's treatise on conic sections (curves such as ellipses and parabolas). He used it for a curve that can be traced endlessly. The name lemniscate, sometimes given to the shape, comes from a later figure-eight curve.

Why does ∞ also mean forever?

Outside maths, it reads as an open-ended promise. The loop easily shifts from unbounded quantity to lasting love, loyalty, memory or personal continuity.

That is a later cultural reading, not the sign's original job. A plain ∞ stays broad; a heart makes it romantic, while a name or date makes the dedication specific. The surrounding message does more of the work than the glyph.

In mathematics it is exact; in personal messages it is warm, symbolic and deliberately open-ended.

Do not assume ∞ means romance when it appears alone; the surrounding message decides.

What it means when someone sends it to you

3 readings
A classmate sends it inside an equation
They mean an unbounded value, limit, set or process.
A partner sends ∞ with a heart
They are emphasizing enduring romantic feeling.
A friend posts ∞ beside a name or date
They are marking a lasting bond, memory or dedication.

Don't confuse it with

1

Questions people ask

1

Why does ∞ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type ∞

Windows (Word)
Alt+XType 221E, then Alt+X to get ∞.
Windows
Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win + .).
macOS
Control+Command+SpaceOpen the character viewer and search “infinity”.
Linux
Ctrl+Shift+UType 221e, then Enter or Space.
HTML
∞
CSS
\221E
Mac
Press **Option+5** on US and many other layouts.
Windows
Hold Alt and type **236** on the numeric keypad.
Microsoft Word
Type 221E, then press **Alt+X**.
LaTeX
Use **\infty** in math mode.
HTML
Write **∞** in the page source.
Codes and encoding1 code points
HTML decimal
∞
HTML hex
∞
CSS content
content: "\221E";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%88%9E
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols