Root · 3 in the Quran · 4 in 3 texts of the library
أفق (root fq)
الهمزة والفاء والقاف أصل واحد يدل على تباعد ما بين أطراف الشيء واتساعه وعلى بلوغ النهاية
Ibn Fāris, Maqāyīs al-lugha
The family of the root
Patterns computed · our dataThe words of أ ف ق that our sources attest: the root's letters in green, the added letters in gold.
18 words2 verbs2 verbal nouns2 intensives and elatives7 other nouns2 plurals3 relatives and abstracts
- أُفُقside
- ءَافَاقsides
- آفَاقsides
- أَفَقthe main and middle part of a road
- أَفَقَ—
The whole family6 groups, by pattern; tap a pattern to see what it does
Verbs2أَفَقَ · تأفّقَ
The root as an action: the bare Form I, and the Forms made by adding letters before, inside or after the root.grammar →
Form I vowels: فَعَلَ يَفْعِلُ (a – i; the imperfect from Lane's “aor.”)
Verbal nouns2أَفَق · أَفْق
The action itself, named as a noun (maṣdar).grammar →
Intensives, qualities and the elative2أَفَّاق · أَفِيق
The quality carried far, held as a trait, or compared.grammar →
Other nouns7أُفُق · آفِق · آفِقَة
Nouns on other patterns; their meaning is learned word by word.grammar →
Plurals2آفَاق · ءَافَاق
Broken plurals rebuild the word on a new pattern; sound plurals add an ending.grammar →
- آفَاقsidesfrom the singularbroken plural of أُفُقlibrary ×1LaneIbn Fāris
- ءَافَاقsidesfrom the singularbroken plural of أُفُقQurʾān ×1
Reference
Why this shape?What each of the 8 patterns does
What each pattern does. The pattern gives a tendency, not a rule: many words have drifted into meanings of their own.
The pattern machinePour the root into a pattern; see whether the word exists
Choose a pattern; the root's letters pour into it. Then see whether the word exists in our sources. The machine makes shapes; only usage makes words.
Not in our sources. A possible shape, not a word we can show: the Quran, the library and Lane do not have it for this root.
Place noun with -a. The place noun with the feminine -a. Sometimes it is only a variant of mafʿal; often it names the place where a thing is found in abundance (maʾsada, 'a place full of lions'). So maktab is the place of writing, and maktaba, where writings are gathered: a library, a bookshop. Our summary AI
But: maktaba is not in our classical dictionaries for k-t-b: Lane and al-Jawharī give maktab ('a school'), none gives maktaba. Its sense of 'library, bookshop' fits the pattern of abundance, but that is our reading of the pattern, not a classical entry. Many mafʿala words are single items of usage (maqbara 'cemetery'), which the grammarians call heard, not formed by rule.
The grammarians on this pattern (4)
ما يكون مفعلة لازمة لها الهاء والفتحة … وذلك إذا أردت أن تكثر الشيء بالمكان، وذلك قولك: أرض مسبعة، ومأسدة
Chapter on what is mafʿala, with the -a and the a-vowel always: that is when you mean that a thing abounds in a place, as you say 'a land of many beasts of prey (masbaʿa), of many lions (maʾsada)' AI
Sībawayh (d. c. 180/796), al-Kitāb, ed. ʿAbd al-Salām Hārūn, 3rd ed. (Cairo: al-Khānjī, 1988), 4:94 · OpenITI line 21027–21028 ↗ · on this site · OpenITI RELEASE v2025.1.9, CC BY-NC-SA 4.0
و نحو المظنة و المقبرة فتحا و ضما ليس بقياس
and words like maẓinna and maqbara (with a or u) are not by rule AI
Ibn al-Ḥājib (d. 646/1249), al-Shāfiya fī ʿilm al-taṣrīf, ed. Ḥasan Aḥmad al-ʿUthmān (Mecca: al-Maktaba al-Makkiyya, 1995), 1:30 · OpenITI line 223 ↗ · on this site · OpenITI RELEASE v2025.1.9, CC BY-NC-SA 4.0
- “designate the place where the object signified by the noun from which they are formed, is found in large numbers or quantities” Wright, Grammar I, §247, p. 148 ↗ · on nouns of abundance, maf'ala · 3rd ed. (Cambridge, 1896) · public domain
- “Nouns of time and place not unfrequently take the feminine form” Wright, Grammar I, §225, p. 128 ↗ · on maf'ala as a variant of maf'al · 3rd ed. (Cambridge, 1896) · public domain
This root has a weak or doubled letter, so real words change shape (qāla → qāʾil, not qāwil); the machine pours the letters in as they are, and matches attested words by their regular pattern.
About thisWhat “attested” means here; the sources
Attested means found in our data: the Quranic Arabic Corpus (lemmas, verb Forms, participles, verbal nouns, plurals), the library's words (automatic analysis), Lane's Lexicon (his headwords, the Forms he numbers, the verbal nouns and plurals he names) and Ibn Fāris's entry. Nothing is generated for this list. Meanings are Lane's first gloss in his entry, or else the analyser's gloss (“auto”). Vowelling follows the corpus, then Lane, then the analyser; verbs are given in the regular perfect. Lane's Lexicon thins out after qāf, and a few of his entries cover several roots at once: those roots show no Lane. The patterns, written with ف ع ل, are computed by us.
The dictionaries
Ibn Fāris · 395الهمزة والفاء والقاف أصل واحد يدل على تباعد ما بين أطراف الشيء واتساعه وعلى بلوغ النهاية من ذلك الآفاق النواحي والأطراف وآفاق البيت من بيوت الأعراب نواحيه دون سمكه وأنشد يصف الخلال : — وأقصم سيار مع الناس لم يدع … تراوح
Ibn Fāris (d. 395/1004), Maqāyīs al-Lugha. Seeks each root's original sense (aṣl).
The same letters, turned
The same three letters in all six orders. Choose one.
أ ف ق
الهمزة والفاء والقاف أصل واحد يدل على تباعد ما بين أطراف الشيء واتساعه وعلى بلوغ النهاية
a-f-q is one root indicating the distance between the extremities of a thing and its wideness, and reaching the limit. AI
Ibn Fāris ↗Lisān ↗Lane ↗Quran ×3
an entry in Ibn Fārislater sources onlyin none of them
Do these six share one core meaning?
Reference
About thisal-Khalīl, Ibn Jinnī, Ibn Fāris; the counts across the dictionary
al-Khalīl (d. c. 170/786), Kitāb al-ʿAyn, as transmitted by al-Layth: a two-letter word “turns in two ways”, a three-letter word “in six ways” (masdūsa), four letters in 24, five in 120; “its used forms are written down and its unused ones dropped” (line 975 ↗). The dictionary is built on this: each chapter takes a set of letters and names which orders are used (mustaʿmal) and which unused (muhmal). The ring shows that verdict, from the chapter heading as edited (documented in the text; how much of the book is al-Khalīl's own is disputed).
A reported total. al-Suyūṭī transmits, from Ḥamza al-Iṣfahānī, that al-Khalīl put the possible forms, used and unused, of two to five letters at 12,305,412 (al-Muzhir, line 1347 ↗). It is reported, not found in the ʿAyn. It equals exactly the arrangements of 2 to 5 different letters out of 28 (756 + 19,656 + 491,400 + 11,793,600); the breakdown printed beside it is corrupt, and al-Zubaydī's count, given next, differs (6,659,400).
Ibn Jinnī (d. 392/1002), al-Khaṣāʾiṣ, names the greater derivation (al-ishtiqāq al-akbar): bind a three-letter root and its six orders to one meaning, and bring stray members back “by the subtlety of the craft and interpretation” (line 7536 ↗). He says himself that it does not hold for every root (line 167 ↗; line 7603 ↗).
Ibn Fāris (d. 395/1004) gives each root its own aṣl and treats a rearranged word as maqlūb, “turned round”, and so not a root of its own: “j-b-dh is not a root, because it is a single word, turned round” (Maqāyīs, line 6147 ↗). The ring sets his aṣl for each order side by side; whether they meet is the question.
Neighbours on the ring differ by one swap of two letters.
The critique. A source quoted by al-Suyūṭī calls the greater derivation Ibn Jinnī's innovation, “not relied on in the language” (al-Muzhir, line 6159 ↗).
The other axis. The root's letters also go into patterns that keep their order and change the frame: the patterns (awzān) and the verb Forms I–X.
Across Ibn Fāris's dictionary. Of the 2,300 possible sets of three different sound letters (no hamza, w or y), 1,021 have at least one order as an entry. How many of their six orders are entries:
- 1 of 6319
- 2 of 6218
- 3 of 6164
- 4 of 6155
- 5 of 6107
- 6 of 658
- 1 of 6148
- 2 of 6108
- 3 of 6157
- 4 of 6179
- 5 of 6111
- 6 of 643
Of the orders al-Khalīl calls used, 2,097 are entries in Ibn Fāris and 267 are not; 17 that he calls unused are entries in Ibn Fāris.
Attested here means found in our digital texts (Ibn Fāris, Lisān al-ʿArab, Lane, the Quranic Arabic Corpus), with w and y kept apart and hamza spellings merged; it is our data, not a classical verdict. English beside the Arabic is AI translation. Sources and grades: docs/research/root-permutations.md.
Letters & sound
- أhamzadeep in the throat · voiced, stopSīb. · I. Jinnī
- فfāʾlower lip and upper teeth · voiceless, continuantSīb. · I. Jinnī
- قqāffar back of the tongue · voiced, stopSīb. · I. Jinnī
How each letter is made, in brief, from Sībawayh's and Ibn Jinnī's own sentences (linked); their words are under Reference.
Sharing two of its three letters (computed; kinship of form, not of meaning)
Reference
How it is madeSībawayh and Ibn Jinnī · phonetics
English throughout: AI translation of the Arabic AI
أ
فأقصاها مخرجا: الهمزة والهاء والألف
The furthest of them [the three in the throat] in place: the hamza, the hāʾ and the alif. Sībawayh, line 26548 ↗
فأولها من أسفله وأقصاه، مخرج الهمزة والألف والهاء، هكذا يقول سيبويه
The first of them [in the throat], from its lowest and furthest part, is the place of the hamza, the alif and the hāʾ: so Sībawayh says. Ibn Jinnī, line 965 ↗
ف
ومن باطن الشفة السفلى وأطراف الثنايا العلى مخرج الفاء
From the inside of the lower lip and the edges of the upper front teeth is the place of the fāʾ. Sībawayh, line 26562 ↗
ومن باطن الشفة السفلى وأطراف الثنايا العلى، مخرج الفاء
From the inside of the lower lip and the edges of the upper front teeth is the place of the fāʾ. Ibn Jinnī, line 985 ↗
ق
ومن أقصى اللسان وما فوقه من الحنك الأعلى مخرج القاف
From the furthest part of the tongue and the upper palate above it is the place of the qāf. Sībawayh, line 26550 ↗
ومما فوق ذلك من أقصى اللسان، مخرج القاف
From above that, at the furthest part of the tongue, is the place of the qāf. Ibn Jinnī, line 972 ↗
Sībawayh, al-Kitāb (ed. Hārūn) and Ibn Jinnī, Sirr ṣināʿat al-iʿrāb; OpenITI digital texts (CC BY-NC-SA 4.0). Full credits on each letter's page.
In the Breath of the All-MercifulIbn ʿArabī · metaphysics
English throughout: AI translation of the Arabic AI
أ
Nature (ch. 2)
وإلا الهاء والهمزة فإنهما باردتان رطبتان
And except hāʾ and hamza, for these two are cold and moist.
Ibn ʿArabī, al-Futūḥāt al-Makkiyya, line 2583ف
Level of existence: الملائكة · the angels
Divine Name: القوى · the Strong (al-Qawī)
Lunar mansion: سعد الأخبية · Saʿd al-Akhbiya
Futūḥāt ch. 198, line 65823Spheres of its simples (ch. 2): 10 line 2573 ↗
Nature (ch. 2)
المرتبة العشرية فحروفها حارة يابسة
The tenfold rank: its letters are hot and dry.
Ibn ʿArabī, al-Futūḥāt al-Makkiyya, line 2582ق
Spheres of its simples (ch. 2): 10 line 2573 ↗
Nature (ch. 2)
المرتبة العشرية فحروفها حارة يابسة
The tenfold rank: its letters are hot and dry.
Ibn ʿArabī, al-Futūḥāt al-Makkiyya, line 2582Meaning by vowelal-Dabbāgh · a visionary claim about a primordial “Syriac”, not historical Syriac
English throughout: AI translation of the Arabic AI
أ
With fatḥa ـَ
فهي إشارة إلى جميع الأشياء قلت أو كثرت، وتكون الإشارة في بعض الأحيان من المتكلم إلى ذاته ونفسه، وهذه الإشارة سالمة من القبض.
It is an indication of all things, whether few or many. At times the indication is from the speaker to his own essence and self, and this indication is free of contraction (qabḍ).
With ḍamma ـُ
فهي إشارة إلى الشيء القريب القليل.
It is an indication of the near, small thing.
With kasra ـِ
فهي إشارة إلى الشيء القريب المناسب.
It is an indication of the near, fitting (congruent) thing.
ف
With fatḥa ـَ
فهي لنفي الخبث بعد ما كان جنسه معلوما بالخبث، فهي إشارة إلى أنه طاهر وجنسه خبيث، والخبث مثل المعاصي وما أشبهها.
It is for negating foulness in something whose genus is known for foulness. It thus indicates that the thing is pure while its genus is foul; foulness being like sins and the like.
With ḍamma ـُ
فهي لتزويل الخبث.
It is for removing foulness.
With kasra ـِ
فهي إشارة إلى الذات وما احتوت عليه، وفي بعض الأحيان قد يكون معها التقليل.
It is an indication of the self and what it contains; at times it may carry a sense of diminution.
ق
With fatḥa ـَ
فهي إشارة إلى حيازة الخيرات أو إلى جميع الأنوار.
It is an indication of the acquisition of goods, or of all lights.
With ḍamma ـُ
فهي إشارة إلى النشأة الأصلية أو العلم القديم وما أشبه ذلك.
It is an indication of the original creation, or eternal knowledge, and the like.
With kasra ـِ
فهي إشارة إلى الذل.
It is an indication of abasement.
In the sister scriptsHebrew א פ קSyriac ܐ ܦ ܩ
| Arabic | أ ف ق |
| Hebrew | א פ ק |
| Syriac | ܐ ܦ ܩ |
| Ancient South Arabian (musnad) | 𐩱 𐩰 𐩤 |
| Phoenician | 𐤀 𐤐 𐤒 |
Letter for letter, by the regular sound correspondences of the Semitic languages (Arabic keeps several sounds the others merged). This shows how the root would be spelled; whether a related word exists is a separate question, answered in the Semitic lens. Where an Arabic sibilant (s, sh) continues two older sounds, both spellings are shown.
Reference