Game Board or Abacus? Greek Counter Culture Revisited

V. Dasen, Jérôme Gavin
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引用次数: 3

Abstract

Abstract A late 5th century BC funerary altar from the necropolis of Krannon (Central Greece) depicts a bearded man and a boy on either side of a board with five lines carved on a block. The fact that the man is seated and the horizontal position of the board reveal important information about Greek education and the history of Greek numeracy. This paper analyses the iconography of the relief, the link between the Five Lines game (Pente grammai) and abaci, examines the possible identification of the man as a “pebble arithmetician”, of the boy as a student, and suggests a new reconstruction of the reckoning system operated on an abacus composed of five horizontal lines. A special practical function is proposed for the half-circle at one end of the abacus. This five lines pattern and the related material, especially counters, are considered from a wider perspective, a system of cultural practices associated with boards and counters throughout the Greek world.
棋盘游戏还是算盘游戏?希腊反主流文化重访
克兰农(Krannon)(希腊中部)墓地的一座公元前5世纪晚期的陪葬祭坛上,一块木板上刻着五条线,两边是一个留着胡子的男人和一个男孩。这名男子坐着的事实和匾额的水平位置揭示了有关希腊教育和希腊算术史的重要信息。本文分析了浮雕的图像,五行游戏(Pente grammai)与算盘之间的联系,研究了男子作为“鹅卵石算术家”的可能识别,以及男孩作为学生的可能识别,并提出了在由五条水平线组成的算盘上操作的计算系统的新重建。对于算盘一端的半圆,提出了一个特殊的实用函数。这五条线的图案和相关的材料,特别是计数器,是从更广泛的角度来考虑的,这是整个希腊世界与棋盘和计数器相关的文化习俗体系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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