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Ostomachion (after Suter; this version requires a lateral stretch by a factor of two to match that in the Archimedes Palimpsest[citation needed])Ostomachion (after Suter): square reformed with some pieces turned overOstomachion figures mentioned by Ausonius and others (Bibliotheca Augustana)
In ancient Greek geometry, the Ostomachion, also known as loculus Archimedius (from Latin 'Archimedes' box') or syntomachion, is a mathematical treatise attributed to Archimedes. This work has survived fragmentarily in an Arabic version and a copy, the Archimedes Palimpsest, of the original ancient Greek text made in Byzantine times.[1]
The word Ostomachion (Ὀστομάχιον)[2] comes from Greek ὀστέον (osteon) 'bone', and μάχη (mache) 'fight, battle, combat'.[3][4] The manuscripts refer to the word as "Stomachion", an apparent corruption of the original Greek. Ausonius gives us the correct name "Ostomachion" (quod Graeci ostomachion vocavere, "which the Greeks called ostomachion").
The Ostomachion which he describes was a puzzle similar to tangrams and was played perhaps by several persons with pieces made of bone.[5] It is not known which is older, Archimedes' geometrical investigation of the figure, or the game. Victorinus,[6] Bassus[7] Ennodius[8] and Lucretius[9] have also discussed the game.
^Darling, David (2004). The universal book of mathematics: from Abracadabra to Zeno's paradoxes. John Wiley and Sons, p. 188. ISBN 0-471-27047-4
^ὀστομάχιον,
Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus Digital Library
^ὀστέον, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus Digital Library
^μάχη, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus Digital Library
^Ausonii Cento nuptialis in Monumenta Germaniae Historica, auctores antiquissimi, vol. 5, part 2: D. Magni Ausonii opuscola, Berolini apud Weidmannos, 1883, pagg. 140-41 Archived 2015-09-23 at the Wayback Machine.
^Ars grammatica, III, 1 in Grammatici latini, Lipsiae in aedibus R. G. Teubneri, 1857, vol. 6, part 1, pagg. 100-01.
^De metris, 9 in Grammatici latini cit., pagg. 271-72,
^Carmen CCCXL (2, 133) in Monumenta Germaniae Historica, auctores antiquissimi, vol. 7, Magni Felicis Ennodi opera, Berolini apud Weidmannos, 1885, pag. 249 Archived 2016-03-06 at the Wayback Machine
^De rerum natura, II, 776-787 cited in Netz, Reviel; Acerbi, Fabio; Wilson, Nigel (2004). "Towards a reconstruction of Archimedes' Stomachion" (PDF). Sciamvs. 5: 67–99. Archived from the original (PDF) on 4 October 2013. Retrieved 3 October 2013.
In ancient Greek geometry, the Ostomachion, also known as loculus Archimedius (from Latin 'Archimedes' box') or syntomachion, is a mathematical treatise...
contains two works of Archimedes that were thought to have been lost (the Ostomachion and the Method of Mechanical Theorems) and the only surviving original...
"throat" or "gullet", stomachos (στόμαχος). Ausonius calls the puzzle Ostomachion, a Greek compound word formed from the roots of osteon (ὀστέον, 'bone')...
Sphere (Autolycus) Optics (Euclid) On Spirals On the Sphere and Cylinder Ostomachion Planisphaerium Spherics (Theodosius) Spherics (Menelaus) The Quadrature...
square trisection). A famous ancient Greek dissection puzzle is the Ostomachion, a mathematical treatise attributed to Archimedes; now the two equal...
Sphere (Autolycus) Optics (Euclid) On Spirals On the Sphere and Cylinder Ostomachion Planisphaerium Spherics (Theodosius) Spherics (Menelaus) The Quadrature...
shown to be related to Schröder–Hipparchus numbers. Earlier, in the Ostomachion, Archimedes (3rd century BCE) may have considered the number of configurations...
Sphere (Autolycus) Optics (Euclid) On Spirals On the Sphere and Cylinder Ostomachion Planisphaerium Spherics (Theodosius) Spherics (Menelaus) The Quadrature...
create different shapes from these pieces. This is not easy to do. (see Ostomachion loculus Archimedius) In Iran "puzzle-locks" were made as early as the...
for a locule, or compartment in an organism. Loculus of Archimedes or Ostomachion, a mathematical puzzle similar to tangrams This disambiguation page lists...
Sphere (Autolycus) Optics (Euclid) On Spirals On the Sphere and Cylinder Ostomachion Planisphaerium Spherics (Theodosius) Spherics (Menelaus) The Quadrature...
Schröder–Hipparchus numbers, is mentioned. There is also evidence that in the Ostomachion, Archimedes (3rd century BCE) considered the configurations of a tiling...