Education and demonstration – Mathematics – Arithmetic
Patent
1978-08-18
1981-04-07
Shepperd, John W.
Education and demonstration
Mathematics
Arithmetic
283 1R, G09B 1900
Patent
active
042603854
ABSTRACT:
An educational and recreational mathematical kit comprises a set of n square sticks and a plurality of individual digits imprinted on each of the four sides of each of the sticks. The digits on one side of one of the sticks constitute a number which is a quotient obtained by dividing a number constituted of (P-1)
nines, in which P is a prime number greater than 11 and n is an integer at least 2, by P, n being so selected that (P-1)
nines is the minimum number of nines divisible by P so that the quotient is an integral number. The digits on each of the other three sides of the one stick constitute a number which is a respective different cyclic variation of the quotient, the quotient having (P-1)
digits including one or more actual or imaginary initial zeros to make up any otherwise occurring one or more digit deficit in the quotient and each cyclic variation of the quotient being formed by shifting a set of 1 to [(P-1)
]-1 of the digits from the one end of the number to the other end of the number without changing the sequence of digits. The digits on one side of each of the other sticks each constitute a respective different number which is a respective different multiple of the quotient, each said multiple of the quotient not being a said cyclic variation of the quotient or of any other said multiple of the quotient. The digits on each of the other three sides of each of the other sticks each constitute a number which is a respective different cyclic variation of the respective multiple of the quotient on the one side of that stick.
REFERENCES:
patent: 2899757 (1959-08-01), Webb
patent: 3229388 (1966-01-01), Smith
patent: 3628261 (1971-12-01), Thompson
patent: 3829996 (1974-08-01), Buschman
patent: 3999310 (1976-12-01), Lufkin et al.
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