## Action Charts

Many actions and situations require one or more of the Action Charts. There are three charts: The Square chart, the Sphere chart, and the Doubles chart.

There are two ways of reading the Action Charts. You can read from one of the charts to the Results column, or from the Results column to one of the charts.

When looking up a number on an Action Chart, look up the largest number that is still less than or equal to the reference number, and read to the result. If you are looking up 42 on the Sphere Chart, the largest number that is still less than or equal to 42 is 32. The result is 13. (This result, by the way, is often considered a part of the answer to, well, everything.)

 The Action Charts Square Sphere Doubles Result .0059 (-169) .018 (-32) .000061 (-4096) .077 (-13) .0069 (-144) .024 (-24) .00012 (-2048) .083 (-12) .0083 (-121) .032 (-18) .00024 (-1024) .091 (-11) .01 (-100) .042 (-14) .0005 (-512) .1 (-10) .012 (-81) .056 (-10) .001 (-256) .11 (-9) .016 (-64) .075 (-8) .002 (-128) .13 (-8) .020 (-49) .10 (-7) .004 (-64) .14 (-7) .028 (-36) .13 (-6) .008 (-32) .17 (-6) .04 (-25) .18 (-5) .016 (-16) .2 (-5) .063 (-16) .24 (-4) .031 (-8) .25 (-4) .11 (-9) .32 (-3) .063 (-4) .33 (-3) .25 (-4) .42 (-2) .13 (-2) .5 (-2) .49 (-1) .56 (-1) .25 (-1) .7 (-1) .81 (0) .75 (0) .5 (0) .9 (0) 1 1 1 1 4 2 2 2 9 3 4 3 16 4 8 4 25 5 16 5 36 6 32 6 49 7 64 7 64 8 128 8 81 10 256 9 100 14 512 10 121 18 1,024 11 144 24 2,048 12 169 32 4,096 13 196 43 8,192 14 225 57 16,384 15 256 75 32,768 16 289 100 65,536 17 324 133 131,072 18 361 178 262,144 19 400 237 524,288 20 441 316 1,048,576 21 484 421 2,097,152 22 529 561 4,194,304 23 576 748 8,388,608 24 625 997 16,777,216 25 676 1,329 33,554,432 26 729 1,772 67,108,864 27 784 2,363 134,217,728 28 841 3,150 268,435,456 29 900 4,200 536,870,912 30 961 5,600 1.0 billion 31 1,024 7,467 2.1 billion 32 1,089 9,955 4.3 billion 33 1,156 13,274 8.6 billion 34 1,225 17,698 17.2 billion 35 1,296 23,597 34.4 billion 36 1,369 31,463 68.7 billion 37 1,444 41,951 137.4 billion 38 1,521 55,934 274.9 billion 39 1,600 74,578 549.8 billion 40 1,681 99,438 1.1 trillion 41 1,764 132,584 2.2 trillion 42 etc. times 4/3 times 2 +1