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Another magic triangle form is magic triangles with square numbers with different summation. In this magic triangle, the sum of the 2x2 subtriangles are same for all subtriangles. (sequence A375416 in the OEIS) Magic Triangles have also been discovered, such that when its elements are squared, we obtain another magic triangle.
Get ready for all of the NYT 'Connections’ hints and answers for #153 on Saturday, November 11, 2023. Connections game on Saturday, November 11, 2023 The New York Times
Get ready for all of the NYT 'Connections’ hints and answers for #245 on Sunday, February 11, 2024. Connections game for Sunday, February 11 , 2024 The New York Times
Today's Connections Game Answers for Monday, September 11, 2023: 1. TV SHOWS: 24, BONES, FIREFLY, WEEDS 2. HALLOWEEN DECORATIONS: BAT, COBWEB, PUMPKIN, TOMBSTONE 3 ...
A bijection with the sums to n is to replace 1 with 0 and 2 with 11. The number of binary strings of length n without an even number of consecutive 0 s or 1 s is 2F n. For example, out of the 16 binary strings of length 4, there are 2F 4 = 6 without an even number of consecutive 0 s or 1 s—they are 0001, 0111, 0101, 1000, 1010, 1110. There is ...
1 is read off as "one 1" or 11. 11 is read off as "two 1s" or 21. 21 is read off as "one 2, one 1" or 1211. 1211 is read off as "one 1, one 2, two 1s" or 111221. 111221 is read off as "three 1s, two 2s, one 1" or 312211. The look-and-say sequence was analyzed by John Conway [1] after he was introduced to it by one of his students at a party. [2 ...
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The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = 13×5 / 2 = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent. With the bent ...