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Square lozenge ("Pillow") various Currency symbols † ‡ Dagger: Obelus: Footnotes, Latin cross – — Dash: Hyphen, Hyphen-minus, minus sign: Em dash, En dash ° Degree sign: Masculine ordinal indicator * * * Dinkus: Asterism, Fleuron, Dingbat (many) Dingbat: Dinkus, Fleuron ⌀ Diameter: Ø (Scandinavian orthography), Slashed zero; empty ...
A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. From Gulley (2010).The n th coloured region shows n squares of dimension n by n (the rectangle is 1 evenly divided square), hence the area of the n th region is n times n × n.
Consequently, a square number is also triangular if and only if + is square, that is, there are numbers and such that =. This is an instance of the Pell equation x 2 − n y 2 = 1 {\displaystyle x^{2}-ny^{2}=1} with n = 8 {\displaystyle n=8} .
A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. This shows that the square of the n th triangular number is equal to the sum of the first n cube numbers. Also, the square of the n th triangular number is the same as the sum of the cubes of the integers 1 to n.
A non-negative integer is a square number when its square root is again an integer. For example, =, so 9 is a square number. A positive integer that has no square divisors except 1 is called square-free. For a non-negative integer n, the n th square number is n 2, with 0 2 = 0 being the zeroth one. The concept of square can be extended to some ...
"Maximum stack height": three boxes stacked vertically; the bottom one is filled in, the middle one is an outline with a number inside (the number of boxes to safely stack on top of this one), and the top one is an outline and crossed out
Only the tally marks for the numbers 1 and 5 are encoded, and tally marks for the numbers 2, 3 and 4 are intended to be composed from sequences of tally mark 1 at the font level. Counting Rod Numerals [1] [2]
The primary square is obtained by rotating the root square counter-clockwise by 90 degrees, and replacing the numbers. The resulting square is an associative magic square, in which every pair of numbers symmetrically opposite to the center sum up to the same value, 26. For e.g., 16+10, 3+23, 6+20, etc.
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