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The Song dynasty and earlier used the 1:4 type or four-beads abacus similar to the modern abacus including the shape of the beads commonly known as Japanese-style abacus. [31] In the early Ming dynasty, the abacus began to appear in a 1:5 ratio. The upper deck had one bead and the bottom had five beads. [32]
The first abacus pictured below (fig. 5) is decorated with simple mouldings and ornaments, common during the 12th century, in Île-de-France, Normandy, Champagne, and Burgundy regions, and from the choir of Vézelay Abbey (fig. 6). Figure 7 shows a circular abacus used at windows in the side chapels of Notre Dame de Paris. Towards the end of ...
The Late Roman hand abacus shown here as a reconstruction contains seven longer and seven shorter grooves used for whole number counting, the former having up to four beads in each, and the latter having just one. The rightmost two grooves were for fractional counting. The abacus was made of a metal plate where the beads ran in slots.
A suanpan (top) and a soroban (bottom). The two abaci seen here are of standard size and have thirteen rods each. Another variant of soroban. The soroban is composed of an odd number of columns or rods, each having beads: one separate bead having a value of five, called go-dama (五玉, ごだま, "five-bead") and four beads each having a value of one, called ichi-dama (一玉, いちだま ...
Roman bead and reel on a fragment of the entablature from the courtyard colonnades of the Sanctuary of Jupiter Heliopolitanus, Baalbek, Lebanon, 2nd century AD, limestone, Pergamon Museum, Berlin. Bead and reel is an architectural motif, usually found in sculptures, moldings and numismatics. It consists in a thin line where beadlike elements ...
infographic showing the evolution of the Olympic Rings; labeled photos of the rings from 1913, 1920, 1957, 1986, and 2010
The necklace is composed of 108 small beads, with 4 large beads of contrasting stones to symbolize the 4 seasons, and was placed between groups of 27 beads. The necklace was also practical as it could be used for mathematical calculations in the absence of an abacus.
The suanpan is a 2:5 abacus: two heaven beads and five earth beads. If one compares the suanpan to the soroban which is a 1:4 abacus, one might think there are two "extra" beads in each column. In fact, to represent decimal numbers and add or subtract such numbers, one strictly needs only one upper bead and four lower beads on each column.