# Fraktur

Fraktur (German: ) is a calligraphic hand of the Latin alphabet and any of several blackletter typefaces derived from this hand. It is designed such that the beginnings and ends of the individual strokes that make up each letter will be clearly visible, and often emphasized; in this way it is often contrasted with the curves of the Antiqua (common) typefaces where the letters are designed to flow and strokes connect together in a continuous fashion. The word "Fraktur" derives from Latin frāctūra ("a break"), built from frāctus, passive participle of frangere ("to break"), which is also the root for the English word "fracture". In non-professional contexts, the term "Fraktur" is sometimes misused to refer to all blackletter typefaces – while Fraktur typefaces do fall under that category, not all blackletter typefaces exhibit the Fraktur characteristics described above.
Fraktur is often characterized as "the German typeface", as it remained popular in Germany and much of Eastern Europe far longer than elsewhere. Beginning in the 19th century, the use of Fraktur versus Antiqua (seen as modern) was the subject of controversy in Germany. The Antiqua–Fraktur dispute continued until 1941, when the Nazi government banned Fraktur typefaces. After Nazi Germany fell in 1945, Fraktur was unbanned, but it failed to regain widespread popularity.

## Characteristics

Besides the 26 letters of the ISO basic Latin alphabet, Fraktur usually includes the Eszett ⟨ß⟩ in the ⟨ſʒ⟩ form, vowels with umlauts, and the long s ⟨ſ⟩. Some Fraktur typefaces also include a variant form of the letter r known as the r rotunda, and many include a variety of ligatures which are left over from cursive handwriting and have rules for their use. Most older Fraktur typefaces make no distinction between the majuscules ⟨I⟩ and ⟨J⟩ (where the common shape is more suggestive of a ⟨J⟩), even though the minuscules ⟨i⟩ and ⟨j⟩ are differentiated.
One difference between the Fraktur and other blackletter scripts is that in the lower case ⟨o⟩, the left part of the bow is broken, but the right part is not. In Danish texts composed in Fraktur, the letter ⟨ø⟩ was already preferred to the German and Swedish ⟨ö⟩ in the 16th century.
In the Latvian variant of Fraktur, used mainly until the 1920s, there are additional characters used to denote Latvian letters with diacritical marks. Stroked letters ⟨Ꞡ ꞡ⟩, ⟨Ꞣ ꞣ⟩, ⟨Ł ł⟩, ⟨Ꞥ ꞥ⟩, ⟨Ꞧ ꞧ⟩ are used for palatalized consonants (⟨Ģ ģ⟩, ⟨Ķ ķ⟩, ⟨Ļ ļ⟩, ⟨Ņ ņ⟩, ⟨Ŗ ŗ⟩) stroked variants of ⟨s⟩ and ⟨ſ⟩ distinguish voiced and unvoiced sibilants or affricates (⟨S ſ⟩ for voiced [z], ⟨Ꞩ ẜ⟩ for unvoiced [s], ⟨ſch⟩ [ž] / ⟨ẜch⟩ [š], ⟨dſch⟩ [dž] / ⟨tẜch⟩ [č]), while accents (⟨à⟩, ⟨â⟩, ⟨ê⟩, ⟨î⟩, ⟨ô⟩, ⟨û⟩) together with digraphs (⟨ah⟩, ⟨eh⟩ etc.) are used for long vowels (⟨Ā ā⟩, ⟨Ē ē⟩, ⟨Ī ī⟩, ⟨Ō ō⟩, ⟨Ū ū⟩). Stroked variants of ⟨s⟩ are also used in pre-1950 Sorbian orthography.

## Origin

The first Fraktur typeface arose in the early 16th century, when Emperor Maximilian I commissioned the design of the Triumphal Arch woodcut by Albrecht Dürer and had a new typeface created specifically for this purpose, designed by Hieronymus Andreae. Fraktur types for printing were established by the Augsburg publisher Johann Schönsperger [de] at the issuance of a series of Maximilian's works such as his Prayer Book (Gebetbuch, 1513) or the illustrated Theuerdank poem (1517).
Fraktur quickly overtook the earlier Schwabacher and Textualis typefaces in popularity, and a wide variety of Fraktur fonts were carved and became common in the German-speaking world and areas under German influence (Scandinavia, Estonia, Latvia, Central Europe). In the 18th century, the German Theuerdank Fraktur was further developed by the Leipzig typographer Johann Gottlob Immanuel Breitkopf to create the typeset Breitkopf Fraktur. While over the succeeding centuries, most Central Europeans switched to Antiqua, German speakers remained a notable holdout.

## Use

* A Czech example of Fraktur: Title page of Česká mariánská muzika by Adam Václav Michna z Otradovic (1647) ("Cżeská maryánska muzyka" by old orthography)
* Front page of Gustav Vasa's Bible from 1541, printed using Fraktur
* Polish alphabet, 16th century
* German alphabet from an 1850s American Mennonite children's book
Typesetting in Fraktur was still very common in the early 20th century in all German-speaking countries and areas, as well as in Norway, Estonia, and Latvia, and was still used to a very small extent in Sweden, Finland and Denmark, even though other countries typeset in Antiqua. Some books at that time used related blackletter fonts such as Schwabacher; however, the predominant typeface was the Normalfraktur, which came in slight variations.
From the late 18th century to the late 19th century, Fraktur was progressively replaced by Antiqua as a symbol of the classicist age and emerging cosmopolitanism in most of the countries in Europe that had previously used Fraktur. This move was hotly debated in Germany, a controversy known as the Antiqua–Fraktur dispute. The shift affected mostly scientific writing in Germany, whereas most belletristic literature and newspapers continued to be printed in Fraktur.
The Fraktur typefaces remained in use in Nazi Germany, when they were initially represented as true German script; official Nazi documents and letterheads employed the font, and the cover of Hitler's Mein Kampf used a hand-drawn version of it. However, more modernized fonts of the Gebrochene Grotesk [de] type such as Tannenberg were in fact the most popular typefaces in Nazi Germany, especially for running text as opposed to decorative uses such as in titles. These fonts were designed in the early 20th century, mainly the 1930s, as grotesque versions of blackletter typefaces. The Nazis heavily used these fonts themselves, although the shift remained controversial; in fact, the press was at times scolded for its frequent use of "Roman characters" under "Jewish influence" and German émigrés were urged to use only "German script". On 3 January 1941, the Nazi Party ended this controversy by switching to international scripts such as Antiqua. Martin Bormann issued a circular (the "normal type decree") to all public offices which declared Fraktur (and its corollary, the Sütterlin-based handwriting) to be Judenlettern (Jewish letters) and prohibited their further use. German historian Albert Kapr has speculated that the regime viewed Fraktur as inhibiting communication in the occupied territories during World War II.
The Reichsgesetzblatt used Fraktur until the end of 1941.

### After 1941

Even with the abolition of Fraktur, some publications included elements of it in headlines. More often, some ligatures (such as ch and ck) from Fraktur were used in Antiqua-typed editions up to the offset type period. Fraktur saw a brief resurgence after the war, but thereafter fell out of common use.
Fraktur is today used mostly for decorative typesetting: for example, a number of traditional German newspapers such as the Frankfurter Allgemeine, as well as the Norwegian Aftenposten, still print their name in Fraktur on the masthead (as indeed do some newspapers in other European countries and the U.S.) and it is also popular for pub signs and the like. In this modern decorative use, the traditional rules about the use of long s and short ⟨s⟩ and of ligatures are often disregarded.
Individual Fraktur letters are sometimes used in mathematics, which often denotes associated or parallel concepts by the same letter in different fonts. For example, a Lie group is often denoted by G, while its associated Lie algebra is ${\mathfrak {g}}$. A ring ideal might be denoted by ${\mathfrak {a}}$ (or ${\mathfrak {p}}$ if a prime ideal) while an element is $a\in {\mathfrak {a}}$. The Fraktur ${\mathfrak {c}}$ is also sometimes used to denote the cardinality of the continuum, that is, the cardinality of the real line. In model theory, ${\mathfrak {A}}$ is used to denote an arbitrary model, with A as its universe.
Fraktur is still used among traditional Anabaptists to print German texts, while Kurrent is used as hand writing for German texts. Groups that use both forms of traditional German script are the Amish, Old Order Mennonites, Hutterites, and traditional Plautdietsch-speaking Mennonites who live mostly in Latin America today.

## Typeface samples

In the figures below, the German sentence that appears after the names of the fonts (Walbaum-Fraktur in Fig. 1 and Humboldtfraktur in Fig. 2 reads, Victor jagt zwölf Boxkämpfer quer über den Sylter Deich. It means "Victor chases twelve boxers across the Sylt dike" and contains all 26 letters of the alphabet plus the umlauted glyphs used in German, making it an example of a pangram.

## Unicode

Unicode does not encode Fraktur as a separate script. Instead, Fraktur is considered a "presentation form" of the Latin alphabet. Thus, the additional ligatures that are required for Fraktur typefaces will not be encoded in Unicode: support for these ligatures is a font engineering issue left up to font developers.
There are, however, two sets of Fraktur symbols in the Unicode blocks of Mathematical Alphanumeric Symbols, Letterlike Symbols, and Latin Extended-E. The long s, ß, and the umlauted vowels are not encoded, as the characters are meant to be used in mathematics and phonetics, so they are not suitable for typesetting German-language texts.
    𝔄 𝔅 ℭ 𝔇 𝔈 𝔉 𝔊 ℌ ℑ 𝔍 𝔎 𝔏 𝔐 𝔑 𝔒 𝔓 𝔔 ℜ 𝔖 𝔗 𝔘 𝔙 𝔚 𝔛 𝔜 ℨ
    𝔞 𝔟 𝔠 𝔡 𝔢 𝔣 𝔤 𝔥 𝔦 𝔧 𝔨 𝔩 𝔪 𝔫 𝔬 𝔭 𝔮 𝔯 𝔰 𝔱 𝔲 𝔳 𝔴 𝔵 𝔶 𝔷
    𝕬 𝕭 𝕮 𝕯 𝕰 𝕱 𝕲 𝕳 𝕴 𝕵 𝕶 𝕷 𝕸 𝕹 𝕺 𝕻 𝕼 𝕽 𝕾 𝕿 𝖀 𝖁 𝖂 𝖃 𝖄 𝖅
    𝖆 𝖇 𝖈 𝖉 𝖊 𝖋 𝖌 𝖍 𝖎 𝖏 𝖐 𝖑 𝖒 𝖓 𝖔 𝖕 𝖖 𝖗 𝖘 𝖙 𝖚 𝖛 𝖜 𝖝 𝖞 𝖟

## LaTeX

Modern LaTeX implementations (XeTeX, LuaTeX) can utilize a Fraktur font the usual way using the fontspec package.
For traditional implementations (pdfTeX and older), the \mathfrak{◌} command defined in the amssymb, amsfonts or eufrak package is available. This command does not use Unicode to typeset letters in fraktur: it has its own method.
For example, \mathfrak{Fraktur} produces ${\mathfrak {Fraktur}}$. Or, in a real example,
   Given ideals ${\mathfrak {a}},{\mathfrak {b}}$ of a commutative ring R, the R-annihilator of $({\mathfrak {b}}+{\mathfrak {a}})/{\mathfrak {a}}$ is an ideal of R called the ideal quotient of ${\mathfrak {a}}$ by ${\mathfrak {b}}$ and is denoted by ⁠$({\mathfrak {a}}:{\mathfrak {b}})$⁠; it is an instance of idealizer in commutative algebra.