英語訳
**[Volume 2, Folio 17, Verso]**
▲ The following is a problem: if one mustard seed is doubled day by day for 120 days (i.e., 1 seed on day one, 2 on day two, and so on, doubling each day), how many seeds would there be in total?
The answer is:
6,646 *ko* (溝), 1,399 *jō* (穣), 7,892 *sha* (杼), 4,579 *gai* (垓), 3,645 *kei* (京), 1,903 *chō* (兆), 5,301 *oku* (億), 40,172,288 seeds.
While the above number can be determined by reading the abacus, it is difficult to truly comprehend just how large it is. Therefore, we shall demonstrate this number by piling the seeds into a cube (six-faced solid, equal on all sides).
[Each side of the cube would measure:]
155,392 *ri*, 9 *chō*, 31 *ken*, 1 *shaku*, 7 *sun*, 2 *bu* (7 *rin*, 5 *mō* — for all six faces)
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**[Volume 2, Folio 18, Recto]**
**[Unit Conversions, shown at the top]**
- 1 *ri* (里) = 36 *chō* (町)
- 1 *chō* (町) = 60 *ken* (間)
- 1 *ken* (間) = 6 *shaku* 5 *sun* (尺五寸)
- Calculated on the basis of 4 mustard seeds lined up per *bu* (分).
**[Diagram of a cube with dimensions labeled on each edge]**
Height: 155,392 *ri*, 9 *chō*, 31 *ken*, 1 *shaku*, 7 *sun*, 2 *bu*, 7 *rin*, 5 *mō*
Top face (rear edge): 155,392 *ri*, 9 *chō*, 31 *ken*, 1 *shaku*, 7 *sun*, 2 *bu*, 7 *rin*, 5 *mō*
(Remaining edges): Same (as above)
**[Written on the front face of the cube]**
This number [i.e., the total volume of the cube expressed in seeds]:
6,646 *ko* (溝), 1,399 *jō* (穣), 7,891 *sha* (杼), 4,414 *gai* (垓), 9,233 *kei* (京), 4,824 *chō* (兆), 8,296 *oku* (億), 4,679 *man* (万), 3,171 seeds.