Most addictive Mobile version of 2048 game and almost perfect 2048 number puzzle game for Android! Explore deep challenge for your mind!
-Game instructions-
Swipe to move the tiles, when two tiles with the same number touch, they merge into one.
Example: 2+2=4 ... 4+4=8 ... When a 2048 tile is created, the player wins.
[Game Features and Advantages]
- Swypes works for whole screen area
- Night mode for playing in bed
- Leaderboards
- You can keep playing for High-score after collected 2048 tile
- 2048 Pro/Beginner Mode [UNDO ON/OFF]
- Smoothest Android version implementation!
- Frequent game improvements based on your feedback and comments
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Sebelum kita mulai, sebaiknya kalian pahami dulu istilah-istilah yg akan saya gunakan untuk menjelaskan Cara Menyusun Rubik ini nantinya.
- Bagian-bagian Rubik :
- Center Pieces : sisi Rubik yg hanya memiliki 1 warna saja, letaknya di bagian tengah dan biasanya dijadikan poros untuk memutar sisi Rubik. Jumlahnya ada 6.
- Edge Pieces : sisi Rubik yg memiliki 2 warna, letaknya di bagian tepi, digunakan untuk membatasi sisi yg satu dengan sisi lainya. Jumlahnya ada 12.
- Corner Pieces : sisi Rubik yg memiliki 3 warna, letaknya di bagian sudut. Jumlahnya ada 8.
- Langkah Pergerakan Rubik :
- R (Right) : Memutar sisi rubik sebelah kanan searah jarum jam.
- R' : Memutar sisi rubik sebelah kanan berlawanan arah jarum jam.
- L (Left) : Memutar sisi rubik sebelah kiri searah jarum jam.
- L' : Memutar sisi rubik sebelah kiri berlawanan arah jarum jam.
- U (Up) : Memutar sisi rubik bagian atas searah jarum jam.
- U' : Memutar sisi rubik bagian atas berlawanan arah jarum jam.
- D (Down) : Memutar sisi rubik bagian bawah searah jarum jam.
- D' : Memutar sisi rubik bagian bawah berlawanan arah jarum jam.
- F (Front) : Memutar sisi rubik bagian depan searah jarum jam.
- F' : Memutar sisi rubik bagian depan berlawanan arah jarum jam.
- B (Back) : Memutar sisi rubik bagian belakang searah jarum jam.
- B' : Memutar sisi rubik bagian belakang berlawanan arah jarum jam.
Oke, setelah kalian memahami istilah-istilah di atas, sekarang saatnya kita lanjutkan ke tahap-tahap penyusunannya.
►Membuat Pola Cross (+)
Gb.1a
Ndak ada algoritma khusus untuk membuat bentuk awal seperti ini. Semua dilakukan hanya berdasarkan logika sederhana saja. Kalian harus fokus pada Edge Pieces yg ada warna putihnya. Emmm... agak susah sebenernya bagi saya untuk menjelaskan langkah awal pembuatan bentukCross ini, tapi biarpun
susah, saya akan mencoba untuk memberikan sedikit gambaran sebagai arahan.
Pegang Center Pieces warna putih dengan ibu jari tangan kiri dan warna kebalikannya (kuning) dengan jari tengah..! Oke, sekarang kita anggab saja Center Pieces Putih sebagai Front (sisi depan). Selanjutnya, lihat warna dari Center Pieces sisi kanan..! Misalnya saja warnanya hijau. CariEdge Pieces Putih Hijau lalu pasangkan warna hijaunya dengan Center Pieces-nya (hijau). Kalo kesulitan, lepaskan dulu ibu jari dari Center Pieces Putih. Dan setelah warna hijaunya sejajar, kembalikan ibu jari ke posisi semula. Setelah itu, putar sisi kanan rubik tadi (hijau) sampai Edge Pieces warna putihnya sejajar dengan Center Pieces-nya (putih). Gunakan Hijau sebagai poros putaran.
Nah... sekarang satu langkah telah selesai. Langkah selanjutnya adalah, putar Rubik 90° searah jarum jam dengan ibu jari dan jari tengah sebagai porosnya..! Oke... sebelahnya warna hijau adalah warna orange. Lakukan langkah yg sama seperti tadi.
Cari Edge Pieces Putih Orange lalu pasangkan warna orangenya dengan Center Pieces-nya (orange). Kalo sudah sejajar, putar sisi rubik tersebut (orange) sampai Edge Pieces warna putihnya sejajar dengan Center Pieces-nya (putih). Gunakan Orange sebagai poros putaran.
Lakukan hal yg sama pada kedua sisi yg lain, sampai terbentuk Cross seperti pada Gb.1b berikut ini.
Gb.1b
Lihat..! Di bawah warna putih, merah berpasangan dengan merah. Hijau berpasangan dengan hijau. Begitu pula dengan dua Edge Pieces lainnya, harus sama dengan Center Pieces-nya. Itu mutlak..!
Oke... setelah Cross terbentuk dengan sempurna, pastikan nanti letak sisi Rubik warna putihnya ada di bagian bawah (pindahkan ibu jari kalian sehingga sisi putih berada di bagian bawah).
►Menyempurnakan Sisi Putih Sehingga Sisi Lainnya Membentuk Huruf T Terbalik
Gb.2a
Gb.2b
Setelah posisi tersebut didapatkan, langkah selanjutnya adalah melakukan gerakan berikut,
R→U→R'
Nah... warna putihnya sudah pindah ke bawah kan sekarang...
Lakukan hal yg sama pada sisi-sisi lainnya. Putar bagian atas (gerakan U) sampai ditemukan posisi seperti pada Gb.2b untuk ketiga warna yg lain (satu demi satu), setelah itu lakukan lagi gerakan di atas.
Gb.2c
L'→U'→L
Lakukan gerakan yg sama pada sisi-sisi berikutnya, sampai terbentuk pola seperti pada Gb.2a di atas. Pada gambar tersebut dapat kita lihat, warna putih sudah terbentuk dengan sempurna dan layer-layer diatasnya juga telah membentuk huruf T terbalik (lihat garis hijau).
Oke... langkah pertama sudah selesai.
Huuuuft... sedikit pusing kan? hahaha... sama, saya juga.
►Menyempurnakan Layer Tengah
Gb.3a
Gb.3b
U'→L'→U'→L→U→F→U→F'
Dan untuk kebalikannya dari kiri ke atas,
F→U'→F'→U'→L'→U→L→U
- Untuk memindahkan 1a ke 1c atau 2a ke 2c (atas ke kanan), lakukan gerakan berikut,
U→R→U→R'→U'→F'→U'→F
Dan untuk kebalikannya, dari kanan ke atas,
F'→U→F→U→R→U'→R'→U'
Ndak usah khawatir, gerakan-gerakan di atas tidak akan merusak layer bawah dan juga bentuk T terbalik yg sudah jadi (Gb.2a).
Baiklah... setelah layer tengah terbentuk dengan sempurna, tahap selanjutnya adalah,
►Membentuk Pola Cross Di Sisi Atas
Gb.4a
Untuk membuat pola Cross di sisi atas, cukup dengan cara melakukan gerakan berikut,
F→R→U→R'→U'→F'
Hanya dengan mengulang-ulang algoritma diatas maka akan didapatkan bentuk Cross seperti yg kita harapkan. Namun demikian jangan lupa, tetap perhatikan posisinya..!
Gb.4b
Abaikan saja dulu warna kuning yg lain (perhatikan hanya yg bergaris merah saja). Aplikasikan algoritma di atas sampai pola Cross terbentuk dengan sempurna di sisi atas. Dan setelah pola Crossterbentuk, langkah selanjutnya adalah...
►Menyempurnakan Layer Atas
Gb.5
R→U→R'→U→R→U→U→R'
Berapapun banyaknya kita melakukannya, itu ndak akan merusak posisi layer dibawahnya. Lakukan saja sampai sisi Rubik warna kuning terbentuk dengan sempurna. Tapi jangan lupa, biar lebih efektif posisinya juga harus tepat.
Menyerupai Bentuk Ikan.
Lihat Gb.5, perhatikan titik merah yg ada pada gambar yg kedua !
Usahakan posisi awal sebelum memutar seperti itu ya... seperti bentuk ikan yg menghadap ke kiri.
Oke... setelah layer atas tersusun dengan sempurna, sekarang kita masuk ke tahap finishing.
►Menyempurnakan Sisi Kanan
Gb.6a
Untuk menyempurnakan sisi kanan, terlebih dulu kita harus mencari dua warna yg sama seperti yg ditunjukkan oleh titik putih pada Gb.6a. Putar putar sisi atasnya, sampai ditemukan pola seperti itu. Kalau belum ada, lakukan gerakan berikut untuk membuatnya,
R'→F→R'→B2→R→F'→R'→B2→R2
Setelah pola tersebut ditemukan, sejajarkan dengan pasangannya. Pada Gb.6a diatas, warna yg sama adalah biru, maka sejajarkan biru dengan biru.
Gb.6b
Perhatikan Gb.6b, posisikan warna sisi yg sudah sempurna (orange) disebelah kanan..! Kalau sudah lakukan satu algoritma terakhir berikut ini, biasanya perlu mengulang dua kali untuk benar-benar membuat ke enam sisi Rubik menjadi sempurna,
L2→U'→B→F'→L2→B'→F→U'→L2
Selamat... kalian sudah berhasil menyusun Rubik Cube 3x3 dengan sempurna. Saya bisa, berarti siapapun juga pasti bisa asal mau belajar dan menghafalkan langkah-langkah di atas.
Dominic Brian, bocah asal Kuta, Bali mencatatkan namanya dalam buku rekor dunia Guinness World Records setelah berhasil menunjukkan kemampuannya mengingat 76 deret angka hanya dalam 60 detik.
Anak dari Gidion Hindartho dan Debora Intan Trisna yang lahir di Surabaya pada 26 November 1996 itu masuk dalam buku catatan rekor dunia yang diterbitkan perusahaan bir hitam Guinness, setelah menunjukkan kemampuannya pada acara pemecahan rekor yang dilaksanakan di taman satwa Bali Zoo Park di Gianyar, Bali, 15 Agustus 2009.
Pihak Guinness yang diwakili Alex memperlihatkan 80 angka kepada Dominic. Angka yang disodorkan adalah angka besar. Sesaat kemudian, Dominic diberikan melihat dalam waktu satu detik. Selanjutnya, pihak Guinness World memperlihatkan angka yang dilihat Dominic kepada pengunjung.
Satu per satu angka disebutkan dengan sempurna oleh bocah yang saban hari belajar secara home schooling itu. Saat kali pertama, pihak Guinness memperlihatkan 100 angka kepada Dominic. Namun, jumlah angka yang masuk hitungan Guinness sebanyak 60 angka. Pasalnya, setelah ada kesalahan sekali, penghitungan selanjutnya kendati benar dianggap gagal.
Sukses pertama yang memecahkan rekor dunia itu diperbarui pada penghitungan kedua. Kali ini diperlihatkan 80 angka. Ternyata, Dominic bisa mengingat 76 angka.
Perwakilan Guinness World Records Asia, Alex Iskandar Liew, memuji kemampuan yang ditunjukkan Brian. Selain itu, ia juga menilai hal itu sebagai rekor unik, mengingat umur yang bersangkutan masih tergolong anak-anak menuju remaja.
Meski begitu, rekor dunia yang dipecahkan Dominic Brian diperkirakan akan banyak mengundang munculnya penantang baru yang akan berusaha mengungguli rekor tersebut. “Keunikannya karena pemecah rekor itu masih sangat muda, 12 tahun. Usaha untuk mampu mengingat seratus angka bukanlah hal yang gampang,” ujar Alex Iskandar Liew
Menurutnya, kemampuan Brian sangat luar biasa, sebab dalam waktu yang sangat singkat mampu mengingat sampai 76 deret angka. Kemampuan seperti itu jarang dimiliki oleh anak-anak seusianya, dan jika ada yang ingin menyamai atau bahkan mengungguli, memerlukan waktu belajar yang cukup lama.
Gidion Hindartho mengatakan bahwa meski anaknya mampu mencatatkan rekor dunia, namun dirinya tidak terlalu memberikan target pada Brian, kecuali hanya akan mengarahkan untuk mencapai cita-citanya. Dia mengaku selama ini hanya melatih daya ingat Brian melalui suatu metode latihan kemampuan daya ingat, yang sebenarnya dapat dilakukan oleh semua orang.
“Ini merupakan pelatihan memori kekuatan otak atau biasa disebut `power brain`. Semua orang sebenarnya bisa memaksimalkan daya ingat seperti yang dilakukan Brain. Anak-anak usia kelas tiga atau kelas empat sekolah dasar sebenarnya dapat dengan mudah mengingat seratus angka jika dilatih dengan metode yang tepat,” ujarnya.
Gidion menyatakan bangga karena Brian berkesempatan mengharumkan nama Indonesia khususnya Bali ke dunia internasional. Hal ini diharapkan semakin mengangkat citra Pulau Dewata di mata dunia internasional.
Sementara itu, Dominic Brian mengaku hanya perlu waktu dua bulan untuk berlatih mengingat deret angka dalam waktu cepat, walaupun dalam satu hari hanya berlatih tiga kali. Dia menyatakan akan terus berlatih mengingat deret angka, guna dapat terus mencoba memperbaiki rekor yang dibuatnya, selain bersiap menghadapi para penantang yang diperkirakan segera bermunculan.
“Saya akan terus berusaha memperbaiki rekor ini, dengan target mengingat 104 deret angka. Saat latihan paling tinggi pernah mencapai angkat tersebut. Awalnya memang susah, tetapi kalau dilakukan secara tekun akan menjadi terbiasa,” katanya.
Brian juga berhasil memecahkan rekor pada Museum Rekor Indonesia (Muri), yaitu mengingat 1 dek kartu bridge (52 kartu) selama 100 detik dan mengingat 100 digit angka secara acak dalam waktu 12 menit
Abū ʿAbdallāh Muḥammad ibn Mūsā al-Khwārizmī (Arabic: عَبْدَالله مُحَمَّد بِن مُوسَى اَلْخْوَارِزْمِي), earlier transliterated as Algoritmi orAlgaurizin, (c. 780 – c. 850) was a Persian[1][5] mathematician, astronomer and geographer during the Abbasid Empire, a scholar in the House of Wisdom in Baghdad.
In the twelfth century, Latin translations of his work on the Indian numerals introduced the decimal positional number system to the Western world.His Compendious Book on Calculation by Completion and Balancing presented the first systematic solution of linear and quadratic equations in Arabic. In Renaissance Europe, he was considered the original inventor of algebra, although it is now known that his work is based on older Indian or Greek sources.[6] He revised Ptolemy's Geography and wrote on astronomy and astrology.
Some words reflect the importance of al-Khwarizmi's contributions to mathematics. "Algebra" is derived from al-jabr, one of the two operations he used to solve quadratic equations. Algorism and algorithm stem from Algoritmi, the Latin form of his name.[7] His name is also the origin of (Spanish)guarismo[8] and of (Portuguese) algarismo, both meaning digit.
Algebra
Further information: Latin translations of the 12th century and Islamic science
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Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa-l-muqābala (Arabic: الكتاب المختصر في حساب الجبر والمقابلة, 'The Compendious Book on Calculation by Completion and Balancing') is a mathematical book written approximately 830 CE. The book was written with the encouragement of the Caliph al-Ma'mun as a popular work on calculation and is replete with examples and applications to a wide range of problems in trade, surveying and legal inheritance.[16] The term algebra is derived from the name of one of the basic operations with equations (al-jabr, meaning completion, or, subtracting a number from both sides of the equation) described in this book. The book was translated in Latin as Liber algebrae et almucabalaby Robert of Chester (Segovia, 1145) hence "algebra", and also by Gerard of Cremona. A unique Arabic copy is kept at Oxford and was translated in 1831 by F. Rosen. A Latin translation is kept in Cambridge.[17]
It provided an exhaustive account of solving polynomial equations up to the second degree,[18] and discussed the fundamental methods of "reduction" and "balancing", referring to the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation.[19]
Al-Khwārizmī's method of solving linear and quadratic equations worked by first reducing the equation to one of six standard forms (where b and care positive integers)
- squares equal roots (ax2 = bx)
- squares equal number (ax2 = c)
- roots equal number (bx = c)
- squares and roots equal number (ax2 + bx = c)
- squares and number equal roots (ax2 + c = bx)
- roots and number equal squares (bx + c = ax2)
by dividing out the coefficient of the square and using the two operations al-jabr (Arabic: الجبر "restoring" or "completion") and al-muqābala ("balancing"). Al-jabr is the process of removing negative units, roots and squares from the equation by adding the same quantity to each side. For example, x2 = 40x − 4x2 is reduced to 5x2 = 40x. Al-muqābala is the process of bringing quantities of the same type to the same side of the equation. For example, x2 + 14 = x + 5 is reduced to x2 + 9 = x.
The above discussion uses modern mathematical notation for the types of problems which the book discusses. However, in al-Khwārizmī's day, most of this notation had not yet been invented, so he had to use ordinary text to present problems and their solutions. For example, for one problem he writes, (from an 1831 translation)
"If some one say: "You divide ten into two parts: multiply the one by itself; it will be equal to the other taken eighty-one times." Computation: You say, ten less thing, multiplied by itself, is a hundred plus a square less twenty things, and this is equal to eighty-one things. Separate the twenty things from a hundred and a square, and add them to eighty-one. It will then be a hundred plus a square, which is equal to a hundred and one roots. Halve the roots; the moiety is fifty and a half. Multiply this by itself, it is two thousand five hundred and fifty and a quarter. Subtract from this one hundred; the remainder is two thousand four hundred and fifty and a quarter. Extract the root from this; it is forty-nine and a half. Subtract this from the moiety of the roots, which is fifty and a half. There remains one, and this is one of the two parts."[16]
In modern notation this process, with 'x' the "thing" (shay') or "root", is given by the steps,
Let the roots of the equation be 'p' and 'q'. Then 
, 
and
, and
So a root is given by
Several authors have also published texts under the name of Kitāb al-jabr wa-l-muqābala, including |Abū Ḥanīfa al-Dīnawarī, Abū Kāmil Shujā ibn Aslam, Abū Muḥammad al-ʿAdlī, Abū Yūsuf al-Miṣṣīṣī, 'Abd al-Hamīd ibn Turk, Sind ibn ʿAlī, Sahl ibn Bišr, and Šarafaddīn al-Ṭūsī.
J. J. O'Conner and E. F. Robertson wrote in the MacTutor History of Mathematics archive:
"Perhaps one of the most significant advances made by Arabic mathematics began at this time with the work of al-Khwarizmi, namely the beginnings of algebra. It is important to understand just how significant this new idea was. It was a revolutionary move away from the Greek concept of mathematics which was essentially geometry. Algebra was a unifying theory which allowed rational numbers, irrational numbers, geometrical magnitudes, etc., to all be treated as "algebraic objects". It gave mathematics a whole new development path so much broader in concept to that which had existed before, and provided a vehicle for future development of the subject. Another important aspect of the introduction of algebraic ideas was that it allowed mathematics to be applied to itself in a way which had not happened before."[20]
R. Rashed and Angela Armstrong write:
"Al-Khwarizmi's text can be seen to be distinct not only from the Babylonian tablets, but also from Diophantus' Arithmetica. It no longer concerns a series of problems to be resolved, but an exposition which starts with primitive terms in which the combinations must give all possible prototypes for equations, which henceforward explicitly constitute the true object of study. On the other hand, the idea of an equation for its own sake appears from the beginning and, one could say, in a generic manner, insofar as it does not simply emerge in the course of solving a problem, but is specifically called on to define an infinite class of problems."[21]
Arithmetic
Al-Khwārizmī's second major work was on the subject of arithmetic, which survived in a Latin translation but was lost in the original Arabic. The translation was most likely done in the twelfth century by Adelard of Bath, who had also translated the astronomical tables in 1126.
The Latin manuscripts are untitled, but are commonly referred to by the first two words with which they start: Dixit algorizmi ("So said al-Khwārizmī"), orAlgoritmi de numero Indorum ("al-Khwārizmī on the Hindu Art of Reckoning"), a name given to the work by Baldassarre Boncompagni in 1857. The original Arabic title was possibly Kitāb al-Jamʿ wa-l-tafrīq bi-ḥisāb al-Hind[22] ("The Book of Addition and Subtraction According to the Hindu Calculation").[23]
Al-Khwarizmi's work on arithmetic was responsible for introducing the Arabic numerals, based on the Hindu-Arabic numeral system developed in Indian mathematics, to the Western world. The term "algorithm" is derived from the algorism, the technique of performing arithmetic with Hindu-Arabic numerals developed by al-Khwarizmi. Both "algorithm" and "algorism" are derived from the Latinized forms of al-Khwarizmi's name, Algoritmi and Algorismi, respectively.
Astronomy
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Al-Khwārizmī's Zīj al-Sindhind[12] (Arabic: زيج "astronomical tables of Sind and Hind") is a work consisting of approximately 37 chapters on calendrical and astronomical calculations and 116 tables with calendrical, astronomical and astrological data, as well as a table of sine values. This is the first of many Arabic Zijes based on the Indian astronomical methods known as the sindhind.[24] The work contains tables for the movements of the sun, themoon and the five planets known at the time. This work marked the turning point in Islamic astronomy. Hitherto, Muslim astronomers had adopted a primarily research approach to the field, translating works of others and learning already discovered knowledge.
The original Arabic version (written c. 820) is lost, but a version by the Spanish astronomer Maslamah Ibn Ahmad al-Majriti (c. 1000) has survived in a Latin translation, presumably by Adelard of Bath (January 26, 1126).[25] The four surviving manuscripts of the Latin translation are kept at the Bibliothèque publique (Chartres), the Bibliothèque Mazarine (Paris), the Biblioteca Nacional (Madrid) and the Bodleian Library (Oxford).
Trigonometry
Al-Khwārizmī's Zīj al-Sindhind also contained tables for the trigonometric functions of sines and cosine.[24] A related treatise on spherical trigonometry is also attributed to him.[20]
Geography
Al-Khwārizmī's third major work is his Kitāb ṣūrat al-Arḍ (Arabic: كتاب صورة الأرض "Book on the appearance of the Earth" or "The image of the Earth" translated as Geography), which was finished in 833. It is a revised and completed version of Ptolemy's Geography, consisting of a list of 2402 coordinates of cities and other geographical features following a general introduction.[26]
There is only one surviving copy of Kitāb ṣūrat al-Arḍ, which is kept at the Strasbourg University Library. A Latin translation is kept at the Biblioteca Nacional de España in Madrid.[citation needed] The complete title translates as Book of the appearance of the Earth, with its cities, mountains, seas, all the islands and rivers, written by Abu Ja'far Muhammad ibn Musa al-Khwārizmī, according to the geographical treatise written by Ptolemy the Claudian.
The book opens with the list of latitudes and longitudes, in order of "weather zones", that is to say in blocks of latitudes and, in each weather zone, by order of longitude. As Paul Gallez[dubious ] points out, this excellent system allows the deduction of many latitudes and longitudes where the only extant document is in such a bad condition as to make it practically illegible.
Neither the Arabic copy nor the Latin translation include the map of the world itself; however, Hubert Daunicht was able to reconstruct the missing map from the list of coordinates. Daunicht read the latitudes and longitudes of the coastal points in the manuscript, or deduces them from the context where they were not legible. He transferred the points onto graph paper and connected them with straight lines, obtaining an approximation of the coastline as it was on the original map. He then does the same for the rivers and towns.[27]
Al-Khwārizmī corrected Ptolemy's gross overestimate for the length of the Mediterranean Sea[28] from the Canary Islands to the eastern shores of the Mediterranean; Ptolemy overestimated it at 63 degrees of longitude, while al-Khwarizmi almost correctly estimated it at nearly 50 degrees of longitude. He "also depicted the Atlantic and Indian Oceans as open bodies of water, not land-locked seas as Ptolemy had done."[29] Al-Khwarizmi thus set thePrime Meridian of the Old World at the eastern shore of the Mediterranean, 10–13 degrees to the east of Alexandria (the prime meridian previously set by Ptolemy) and 70 degrees to the west of Baghdad. Most medieval Muslim geographers continued to use al-Khwarizmi's prime meridian.[28]
Jewish calendar
Al-Khwārizmī wrote several other works including a treatise on the Hebrew calendar (Risāla fi istikhrāj taʾrīkh al-yahūd "Extraction of the Jewish Era"). It describes the 19-year intercalation cycle, the rules for determining on what day of the week the first day of the month Tishrī shall fall; calculates the interval between the Jewish era (creation of Adam) and the Seleucid era; and gives rules for determining the mean longitude of the sun and the moon using the Jewish calendar. Similar material is found in the works of al-Bīrūnī and Maimonides.[12]
Other works
Ibn al-Nadim in his Kitab al-Fihrist (an index of Arabic books) mentions al-Khwārizmī's Kitab al-Tarikh, a book of annals. No direct manuscript survives; however, a copy had reached Nisibis by the 1000s, where its metropolitan, Elias bar Shinaya, found it. Elias's chronicle quotes it from "the death of the Prophet" through to 169 AH, at which point Elias's text itself hits a lacuna.[30]
Several Arabic manuscripts in Berlin, Istanbul, Tashkent, Cairo and Paris contain further material that surely or with some probability comes from al-Khwārizmī. The Istanbul manuscript contains a paper on sundials; the Fihrist credits al-Khwārizmī with Kitāb ar-Rukhāma(t). Other papers, such as one on the determination of the direction of Mecca, are on the spherical astronomy.
Two texts deserve special interest on the morning width (Maʿrifat saʿat al-mashriq fī kull balad) and the determination of the azimuth from a height (Maʿrifat al-samt min qibal al-irtifāʿ).
He also wrote two books on using and constructing astrolabe
source : wikipedia
