Five Lesser Known Mathematical Constants
Pi is just one of many interesting mathematical constants which you can introduce your pupils to. Here are five more unusual ones which you might like to bring into your classroom to get your students thinking.
Delian Constant
Next time you get an answer of the cube root of two on your calculator, you could call it by its proper title – The Delian Constant.
Delian Constant = ![](data:image/png;base64,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)
According to legend, the people of Delos were told by an Oracle to double the volume of their cube shaped altar in order to defeat a plague. They asked Plato to help, who realised that this involved calculating the cube root of two. It took until 1837 for someone to show that the cube root of two is not constructible using a straight edge and compass. Those Delians never stood a chance in doubling the volume of their altar.
![](data:image/png;base64,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)
Image credit: Doubling the cube
Sofa Constant
![](data:image/png;base64,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)
Image Credit: Photo by Hal Gatewood on Unsplash
If you have ever struggled to move furniture, then the sofa constant is for you. It specifies the biggest possible sofa area that can be moved around a corner, in a corridor of width 1. (Assuming you can’t tip the sofa up on end.) Unfortunately, nobody has yet found the exact value of the Sofa Constant - this is currently what is called an open mathematical problem. Mathematicians have however found lower and upper bounds, which show it to be somewhere between 1.57 and 2.37. This particular attempt at a solution doesn’t look very comfortable to sit on…
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)
Image Credit: Moving sofa problem
Kaprekar’s Constant
![](data:image/png;base64,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)
Image Credit: D. R. Kaprekar
Dattatreya Ramchandra Kaprekar (1905 – 1986) – Indian Mathematician who discovered the Kaprekar constant in 1949.
Think of a four-digit number (any whole number is fine, as long as at least two of the digits are different).
For example, 9114
Put the digits in order, highest to lowest.
9411
Then put the digits in order, lowest to highest.
1149
Then subtract these two numbers.
9411 – 1149 = 8262
Then repeat the process:
2nd Iteration: 8622 – 2268 = 6354
Repeat again:
3rd Iteration: 6543 – 3456 = 3087
4th Iteration: 8730 – 0378 = 8352
5th Iteration: 8532 – 2358 = 6174
![](data:image/png;base64,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)
Kaprekar showed that you will always end up at 6174 in at most seven iterations. How cool is that!
You could try this with your class – get them to pick four-digit numbers and see how many iterations each number requires. It is likely that someone will pick a number that results in 6174 after just one iteration.
Lemniscate Constant
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQEAAAB5CAYAAAA56pTlAAAgAElEQVR4Ae2dd3sbR7Lu74e/f95zn3PuOWfX9joo2Aq2JMdd7+5ZR0Vm5SzZiswESYAIMwDe+/yqugYDCJRkgRJFEcNn2IOeng5V1W9XV6f/pfE1psCYAvuaAv9rX5d+XPgxBcYU0BgExkIwpsA+p8AYBPa5AIyLP6bAGATGMjCmwD6nwBgE9rkAjIs/psAYBMYyMKbAPqfAGAT2uQCMiz+mwBgExjIwpsA+p8AYBPa5AIyLP6bAGATGMjCmwD6nwBgE9rkAjIs/psAYBMYyMKbAPqfAGAT2uQCMiz+mwBgExjIwpsA+p8C+B4GuJO5nrngx6A4GHHw/JLIhXoOx7PPfnWfLP0C0IHMR8BkP52N4/xG3iLP8QATbXM95tc0XQ7wjg0NevWmv3QeBAWIM/FQnyQdunneswhoTulKnnWpwV+qWngnUbnft7hGUiPi+/2512opPOymxTk7kkjL75Nln4s97aReZisxbBj1lHiP+Ia972dujT1GmZ7IfL17kGqEhpvOncLvx2ys3NOS2izh53ZYIFkm0Oh4m6zrriLWljjJ1xTN3W52+O1fbZIIIW61GEVmnSeSlFqIr5cmLdMqvIlvD3AgXrochgriHffVm/d56EOhSH2E4VOTiN5U+eRkwxDtJ9XrTwCKFLjkuVIMggGA123kRfSdxOm80XdDgeJLHrNnjfgtJI93IW2SolJfwGgSBUqb2/GOU8ZmCxIsXuUbAISAQRE98jmgsHX4E3anYNBDtrrGD5wibd6jgBO2q3Y0GpKN2NzcoQBY6HU87y5oWstnY6kWQIqJRyJqE88zgjZhwb3dFHnAJFjLg4QMAUma3i+QN+e86CASxBsuLf1ztLC8Y0846Vskd7bsJ1anEg3dHjVa9aPmLmhyRJjdLAEAr4AKRq9tpWbthbtd/d7s9gdrYqquFNkAcpQKUGV5mfK8sSC5XQhVzk9d+dCCMkaJXc4OGVDnugnY8pBuHd3CpldfTr1x5Vpe6uZQ1UBsDHdyFITlo0UvL0CPCd3O184bFZeCgtgCGvJV5uuSzRZwpOTJBa2SX8xMZAWrwDf6X3Qjt5Qgg2H3GvxUgYGSAQuW7RBtT03lXEN2DumqHQpeprabdpgh2W1IH5uUSSI/ujlBwAygwM25+x7t2JmV1Za2amq2qusqUq2Xxt7pN1VpVtUV63qUIhpO1kI0QXn7j71e50vMcoXD5vU+v4HeQZwgdCxryAP87rss11VVDdOVydbpN4xm8bzeqznt43mg4v7caEnfwvN6UaplE695o+Z3Be/zQAJPsID9x501/biFbHXUJl7os5Ag+WkPR9fyVKz/PxRVlTt8U/rv4sOsgYDUlhKBMucR9qiHKGzdVnQoIwTPrv7WVdxAHBKElwSgqPZV6a0va5K5J6zVpbVNa3ZRWNqUl7nW/l9ekhWVpbU3aqnkcVvkzNZVrS7kq2lLD4IAc0PLUpdaG1EUMJRRJ1x2SdgBDg9n0ZaL/lyp/WWt510EgyDDoDsr84PvB30bSbjdVNO/HeyPgffygqQEslZg7z6Stqlfsraa0Cs/XpNWqtFSRHi66LKzWpOVNvzczaXVDamRSHfCoSm04jIGodHf9mXQBIksXP4xTSSOIRsLKGjJOwUpgl3665y79310QgAJBnDIA4GfUcQYDAHVl9gfR82ZiLEwGvatVd1Hdllelat0q/vLUrE5/cljnPjqo8x8d1ORfDmr6Lwc188FBzb6P+4mmPvhIlw5/pjMffiStrkira1KrodbykqmVeX3TmN9ubUrdptTckLKa1K5JHbSPTgEAlmX+cRflwaYAELighLCGu99BIMgVrtWD+IFr5HTNK1pcr3BJywPwG3W/s5a0uSnVa9IWMrDuFXl1Veuzc5o8fET/+n9/Mjm4evi45j7+VBMfHtb5Dw/r1z9/rImPP7Pnn/70oVRrSitrUq0m1arS1qZpiWptSXQbcNt0HwCDfs0uNALTXChDyHiSa7zii1REL+gu/d99EIjKAjUSRdxxykFQSNbMtpzghvBNR+qFRWl+QVpZ1eYvZ3Thgw81c+Cwzn98yBi+MjEjofqB6s3M1cGsI3FH/9CEqGGtxfnjxzVx6DOde/9D3Th8VDN/el8X3/9YWlz1VgStYW3d46vV0xAB+Ux55xHuYp2K26yaqSzJMu0Ko/vtEt93LtkS38qRhvfzXAtfDhAkcZY7DU3l9ta21+K2JAx59bpU2ZAWVvxe29D0Bx/p4ieHNfvJZ1bBT39wQOc//VxPzk1JVfic+F+jImPdSw0JjQnaI3JSz/Sv9z/SzJEvDBQAiouHP5cW4H/F011akFrIVlOii5A0A/IIwFvNb7e9MaBcyY48RNzLZNuV590HgWB8qkeOkK7+GzFDxW/Sv8ukSkXaQK1f05kDhzTzySFdOnBYjYlpaaMmbdIC0BokBjURGLoKGeOGfaoa7YvXWgCi4a1JLboQVe86rNQ0/Z8faO6DA7ry6eemWWh9S1quSNUt73MCJH22hWSUiq5AagrK8h7Pu8L1nUx0m4KE98u4RXYiMHQL7cn65Em9Ry2nL063DRlYq2jqowO68slhu9HsvOu3Ia1tSVXCZg7a2AOwAcCnGF4yvuTqtJvqYkykIqNVIGc0HJsNqZpJGw1pZUuXjp3ShYNH9K8P/qLqlevSwpK0XndwSUCAzDpYpW4gtT6BAOWMIhZlfgsedhUEIAiVvjyOy7guPe2mtZpJ5aNCL1SkxU0t/3hWc0dO6PThI8mggw0gtezR+mIU4sY+wG19Nfprgzd9vdTHx0XdJ4wZE1OcaA2ohgiFCUZNpz/7TJNfHNeZAwek5Q3vQ84vesuAcRH7hLUIqIoddcyvJwyUu9wivAVy8OpZGJDq+DnoxnBdt9tVRiVLNNhKvPZBO+w+XomwBDU78CTZetbpx69JTyu6dOCIpj/5VBOfHZcaVOzQ7kp8D4Ne9OOD92b0w3ZUNgCWQKcPfMIwSAOCxtByTaG6pcr0ZU0e+lxTHx2V5mmYaBBcvpBe8s9f23ifJjAAQiRFtzUBgj3s8r9dBwGqS60D0QAD7PyoU1QcUJ9WfUNaXtf04S808fFRtWZvOMEBBiO6t+dloXPoDRUDN5jpqVg/LoTCKj5g4MYfkNwNkQ5QVFa7EA5r8TNpaanQGs5+eEBTh45o4ugxaWlRWl+TmtgLEIgklKi0AFRqEUwpSZWAfO/pKwifChE/ww3jWF8500vG7gF9uL/eWPdRHgPQBKRUoMqa2XlWTp/X5cPHdenQMTfwYvexLhlE9YtosdE4/9ylVS66EWVAMP6QDi121EiPC/mLeMifVWas/wwdAwSmKeTeOGxlOnPwqH45eERP6X5ik9rEaBxD1h2LzWa2IQbkG8xq5tvMZ4nSvDl3V0GAYoKUXvGw+ObKG1joIXBLWqnqwuEvdPbQcWkrER8CU4voDzIEZEhbquTWAoRFPpjbE5LgN27RGwAbTG1L3xkkOWDkbTSFzMaQO62mDw0xo5DXaCD0TRmWatR19rMjmjp2Qo9+PuOjERWMSW2b2sgwZ6tTmtBCepaJHrNpJbn31BUETZmOn+GiAThMw+vSLDxA0SpgJmjMcKwBMfzEELeyId15rOuHT2juwDFtzl5OPK9J3brUXE9a3IDlPjSAokuR6JzIigPpjX2lV/iFfx9rbFgSHqLJJY0BADEPKnrSHOstVaeu6NqRr7T286Q1XNgKAA7GllqpcbHvTFNNCaZ87SbPdxkEEIRUgdstN7DQd/v9qdbOzWnm8Emp0pDqPuxn2gFqYgtBKKl+ob4Hk0ICBxgfTC4LgPGSF8bkxGgTzggFw7n53Wt1mJbsswvpJmx4V4Ahpc262jfu6+yhY1qevuwGRYYqEfqYdwrHmWyEGlu6AgT2FBAErVM54mfZjSJ2reInMgKO/KbSY2VHPW/Vfah2YUUzHx/R/S++kypY6Te9K2YNRkubpjU0lXeTsRj+hByFLBB3wVPPAXmCi2ifQAcurB+8CVdoByY0XTciGruANB+upsta7dZd00A7wIawUpdmbmrqwHEHMkYpurka7bqaytS0iWgpb8RtiQWFdsd9C0CAfhbGlbo0vyY9XNGdk9+rMnnZjTpZrjbaAWpj1rDuAupezAk3spUlrvQcj2UmR9UOt/wuwpdZQcPcAphsfQKgxVtckw63IZjxMvqNaClYrnMtTl7UpVN/1aOfz0uPl73/yhAWs9NSy2DRpQTLIBDP5by8lc8DRIuf4ZJnA7XwoCIBfvSP0aTQ5jD2La1KD55o7thJzZ34SsJ6j7YHSNDy2nRebzA6gAX0y7HKJ1ApV3j8SvU4RmPQSZ69S/Uw4ioLRawjSfk3ICsmrZForrzdcI2AhgwtFdvRclVzB7/Q8q+T0vyKdyOS9LZMettuL/Cs7ur/3QUBWlzUaYZaFtc0d/RLTRw45hZZrPx0C6xvRZfBERj+1NuZVlsoWY7iJgiJSeXnZ70iDrc7RL9vEBD4rhxPPNv0ZbMsJwAotIOOGvWaurRCaCP1rTQTLZcqdWXX7mn2+FdWRq2uSk3mpzfVtimv1rz0CUEAgFWevjdv4Y8gcspa/AwXbzQmM4ZRVEjHegyIDhjQZXo8r/WJWV36/Eu3tNMgUPmVa7O1aVUG/hv4JqdPq8AvEhwYiotKT1cz7p5mh18CAR5S3IVqQIMd04bLpGfWYt5WxshTjmz6lDabyZKj9fkwozYzs2Eh15pfcltBkQ+XxXK0u/W8uyCAylZvqnXjpua++c7BIFpV1LucoRvQHm50ZZUwUQqexRqeYCSucTWoWX5RfraWvBfWvotvwk3hC2Hjd9ECEKhjfdxW5msKijhMDaWFo9+ajJd0E9bXNfXlKZ09+pm0uiwtLDhYZPm2doC9CAID5POfECfUc0AAxjFi92hB8+enNffFl1qdveKWd9Rqhusw6JnG1FE9awnbQhNZ4EIcYpVfYiPRcie2FW6vZkcNxwWB4rdHGf/L30d8uFTZGOGIsLhZu2UN1EZ1LcWL/YgZpWmmYZKD8ye/0uOpWWscumiDyLnloRzb7jzvPAik2hDE7C9WIjytJUKBmv10WTMnv/IZXozVK1Or2xBz9QP9M1rWFCErusx2ltIh/kir5NXvWQ4w7Hkwkr4wnuc8rTIjaCw5jmAY/Bh+tnd5W21aCIAL9RAwQ51FTbTJJXXNfHFCy7+ek54suoUbsMBolgSTeJ+5IrGhL58J/dIeEW3xQXiU0hni9Sx9iwj8ITQ3W50HLWhRafm3muosran1dEnnvvpW1au3fGzfxvHT/PwEACjvscAr8pDRheBKPTL8oVzcEc4DpYBFhY+KX3L5IF3luEI7DP2B+CNuRjW4AQb7Bh4zikD3JLX0sZ7FhpyR62am1SvX9eD8pHcXTR6Q91SeiDy58TMSjd+4doVH/B7BHR0EilylXFCmtMIO0viMv0R00I+KAdoz++7BE0189Z3bA2BuqgjxTVS2wfINJjn4fujvINqgOzRwyfOVEovvQ1KTUZDZaKBFvanlazc1/eW3Wjs7Jf3+0AGi66qlqbBp6StYaReuETTR19TlkmRGuQogcXUzKmPxOrI2oDZbMSNQ4iF8xIsKQNJREYr8pHCAMku43Z8vrN1M6jdAyIzNuk/Jfjyvyc9PauKLk953hh6hPQEWRYWNjG7jWob9XWS75LXNRy/2Lsc1+Dz06wiUXgatgl6Uh1Elm7fSaGjp+g3Nz835MDMNC5oE3UjKTr3gQx5jlWoiScSLbFiAshF8aMZe3nPHQKCgRRKMyHQw1YeAqARuOKMlvHzqG5/lF7wP63lSu61vPETOIy3cXb8iMwMZCe/c7BqpEJQzCAOzaw1VLkzp1tffSI8eekXpZMqYl47wWBVMa1JiXwMiNvr4qjULEonhvgwIpPA4ZIfbPuXz9C7cCBNCPRgOAAi/LabdpjkeXaz9NvGqKVXXrQv09MIFTX1xwrU+VvWhMSHMe/kKeiXSldkLzdirwnhCA2dGw4aWrl3Vo4lJaW3V7Ad5verdXrMnQRPnCRpm1HmScR6kyhLadBB/BBruGAiEMIXwkCfyx2w5WnabsIFQMI3z7kP9euhwsgH4cEmOUNAi2NAZxfUraBxu+L817kDG4me4ls/4Af9QiW2WG/1iNARGEqq6AhA8fOqGMlpHaxVTeIbXmUOAIHRYOQm104YYeA69krCEFA2GSd9F1sIdDMbveJc+sSDhFzszFYAVoyZoKgnw9XhBM19+rfmZ2WQITot7qBRRzmEJ7wW/IEQJBKIuOJcIgIwzJIqdK5PWK1q7dVOPZmd8LQLgif0D4Ez8ssajTPxS/MYH6Gb36ETaMRBwlIqaX5KcVKgWC4AYDrr9QHe//Uca/mFkAEEohS+BQAh++fXoRd7hGCJzKdr4GS7eTJIpNkahbiIdLF6hJbTJJrSWW5o+/qVWJubUffDEFyqZ3YQhMoyQzKekNeiqhSAFCJRI11+yF4BABCaj6eKxLMDFqyhM4eHh4Dm3z/KknGm8nqE9uj5rVXVu/qab3/3dh/wAhZipZ+P5Xo5If0+6QZsBGoY3rk+SAgjSEnf4l2V6fPGS7p0577Siy2Dc9Z2PeusbShGnLgI88gsej369PhCwVt37pbZ3GyhY2dTEkRMS88BpARn/DzQLqpUs8AUalssZ4cItv9uN54F8xM9wbVsrs2SWamtRP0FzWgd2wvGRhI1L13Xnm39Ktx9JixUTHIa2msxKtA6CC4lVOJ+QWlRc0uxdRSLeukSGUoAibMnfQWZgb4R4T3TxnMDCQYBptRhz04QqtJiNunT/qRZ+Oq9rf/2nGz/zXK3ahs8IpczG95449/K9156Czr18F7SF8tHdobwAoIFf0giaTa1cua57p8+lrhGDjMwtdI3Y2s+geUomeFROo5fyqz2NDgIpXTJnGeMfBU93G4spz2vrmp++pI2bd7z1Z7MGE5yOjbfaNk5Mq33R1NkgSrivVu6d+2ogH/Fz0CVBBKKYawDYAZSpVacVaNc2fSOUjaYefPuD1s5PK19cZLDaaWVWaKpeCB72c2+Ncbl7Vy+MhY8MpQD8tKvkz/foJm7jTvHF+4gufejpdtTs+HCe5cLme6zaxKhrJ75Tfv2ed33y3FfplfLtk60iE3vZDcIML0NMlfY5JPTrMBTWhR3AugetTLPffa/mrftWLwB8gwG0qoi65DrdnTcFD4cn/dK+OwYCvRRLObZWzrfyuvvTGVWu3pKNkeLfydW1mV+E77+ssthIQck/hHHQLQXZlcfIT0o8fg5zi/yll+XuTk6/MPqMqM2NutYvX1Zt5rKy2/eK3W1MIzD6OZ3LQsFzcRUZSH3HAYmK4dfhrbsDC1HYxUMAOy1a0kg8jjQEysYum1t6em5K0ye+9qnebN2Vt93oZTM+GVMvxVn8CM+958boyzM1lrLFDeCnssLzIqyNljHdeFOXj3+dND/fPMfhPVkIYWyqJjQBgDReKcqRiTYyCBQZsQcXEEQIRDNVt56rfet3zX3zvc8LAOmYTBGCXFL/WWJaqE+DRSP+YfdguDf9O/KU0o2f27kBcLiEgakoBPbDulAsjWWlGfaSLdXnLuvm19+pev+edxnQHFApsaWk3XQtjkGhKDKwPQhYJY5wJfKGgPHKLguT4jE1PvHZQD4N+a6s6/HZSTVu3vM+LnMfeJ9sFy78Hl0sJQZX9vr1UiBQEFLF/AIHbDRm1sw0lU1f12/f/eB1pIv9x7vS5b4e0UDRofwegZAjg0BU2mJmH/3Urq+Z8qXAmX7+P+8VAMAsMBM+JIDWPoGkydmwgsSL7dxh37xJv8jXQJrh/SKXzwjjFY9aAYsxsDGGjJ2gZgtrzLh2/6H0lG3P0tg6anaXHZc9jgarHJP9IbZOt8hJYIgm4ALs3xbZjwwXHm6UjK25fUksvGP+f8vneDx4rMWJWZsMYxt3dtkLwPu2lnQUkIym7m4Is70v0tp7D9uDQIBmPzoHKbwiw2+0PjbDyTT/j9OqXrnpoyrYgVjmZLYER8v4Nvi9U9QaGQRCyGzjDADANv7M1Gr7JgvtM5e09veztg6AQmH0MBBA9U0tAYWL+5mCxYvt3Gc+eMMeka+BZMP7eW58QpioFD4ZJAGBrXVrugZQa+rS8a9tZWKHeegswDHNwQ/NKBtRYySib8rzNiCAQBVCNSSzddZEhPrP8B/gzXyOOgu/chvuvfntP7V68aoLb8e3goPP7MBIlPYvEkoggEqLPRzvvXwFbQZB1g2fqbBGhJ6MU+bgdwuQR+tj45pKQ+feO+TD6F3flKQXb+/7YNNO0W00ECA3VGSbCs5MgI6y2HwRw8bTeT049b20sGn9XRZT+iYNSQd+HghESV/k7hQlXlM822W/nBxhoo7YbMG0EYYtTGGjU2iJes3BKncf6vHpSV91h0bArDPU7lDT6S5YZSXW510OxiGMFpp/8MTu1JIxHbbjcz140WUTT4Z6Kxtau3JTd//xs2+/ledq1jbsYypGAFGB7hFv0vwAgHcDBLxyFpSGhkbMKHC4vUocIOAACO9ie7tM83/9Wbp0x/jdTbsQAAcFYyzuXlxFuiM8jA4CViIHANp5ugI23NVs6sZ3f1dz7prNF0eICcX2ESy8NEJBn5IWkMr3rGcQdpjrod/a/8Oy3FfOlHP8XDh6O+MUdpVOrg4rD217q1yN27/pwbkpVW7dTbsd0SqzJh/twC3Q0De0g2HpWYUuDTFaGP5xm9w6CGDVZk58McqT58qXV/RoclY3/vWLGwCZMkza9P9p/emSEAcTo3p1wKIm+qgEfGHpvrXce3HGgmRFyMIjCh6uh4jyQwMrO93jPG2qAsCu1PXbyb+r+3jehhSpMwUIGND7hxGPxVEk/moPOwIC3YxhDd8mygQXgXy0oKssn6UFQ4DTsuAtdcTk0kLYghiRf0r1vDvCvStuKitOVI5CQFIZNzYqVsHshBzGmtu51m/c1s3/+UmLV665Gg5AsFCFymjagA9JRrxB0oJseJRI3edvgZMmEH1S4q3XVXv8RI/mLqly/bYvhKFLQheBEQ1GAqyLkoCEzWAoTNKK6QIwoIhr1zOZihfvghuVP9xemYpi82CjYD4saJ2EalP1qat68OOZNJGutD1aGNNjXclg3ekl8YeeRgcBCsIy37QXG3uuIBC/f/0P6dIt0wpsz35AoJWZFmBrBYtzvAZag6DQdu4fKt5bHrhcxlKFxDuuZtsHixhvxjhn3S0WYTGk2Mh065dfVLl9ywWGcXpbep2rWTd9y+og9TDuIu5IOxJ6xk0gkCo3IJ4tLevJpSvavPtb2u6No7/87IUC1DH1sMw3VX7TBNJMt7AD+GSYBB5Fhp7JwN7w2JaOUfnDHVIcvrUhklzredVbfAC82tTpvxyWqmjV0WFLLuHfKhDoKxeFxfLvIHD+vz/27ZizhtqdLWuhOg3O8fGWoDhReBDNgqjbuSnNeN2XhV34sW0+4sUL3WhxEyEgY+otUY+gVy3zKcNWPPr7ZgNIK/NaTc1+961Wb97oaQTMQ2eqcpeuRc8IRXxkx+NJrXVKDz/e9cAiCS8te6utyp17un9hSg1GKNjvkd1z2GbbwN+/tWUDkf/U+vfii3SjvCn+5L1nnTJ/Ew3dy20uzxgOy+F5ptJbJypXvUO3wKcWX2QjkgfsRuU7VuFP1yBsP3zax88RCDiaJmDZJzup9NYn9QUxnOhiFs8wFJrgurDQunGxT198ag/xA+/t7hQwXhff7dLDtvmIFy9yTVcu9Z2jEiUmlyuxFdFU/bTYJOwvrabunDurpavXHQiYu28tTNIiBgWGPEUdTOkRN94uWOmlqfkdPb10XTd/PesaAP1/1v5zM0RJNzAd1mr5o44ziOD7hhSzD4nbE0gaQJEB+2rv/7MClsX2JUGgtBgMbboKxagrV+/p6bf/Sl2uWFeANDi69ng1OulGBgFf+x9b7jFvvKLm5Tnd/fWstxQAQwIAsttDr5DC0Qux52OAo+U7FajsxbNd9uC0owJyFqOv12/p3s9nbJzZjEqM4TOqwFBsVDhqZpA9ubFpByIb6xGMX+zpl+davHJd13/4Je33mPr+2AlQUw1oPOuRvbJbzn+R9/AsB9yvz0YLrx+MplA3bJsRunUbTV347w8lNtXN2Jcy8TJNrgu+7QTpRgYBpMpn+mENBgQ2NPnRB+aa6oKglISlBwLRxiGN4+tVKOD1if0N2a4KNbKph6cvaGFiVnq66FqBzcdg2NBrve16xDg/P1O3g0lG5kEY7A0MAWa5Hl+8rHtnLqSTe9JJvGiwbCMeez+8SsbH3yQKdNLJR9QF77bBCVOj1us686f3pYxTltM5FvA48YwdluD/Tlwjg4DPJEtZofXZ2NAP//5vLoBIWgkEAIAxCOwE21IcSAGVsc0pzb4mPa9UVLv/QI/PTEiPORUJC31PI8Aox1y+wopvlbnUsjPvIMtVvX5HD89Oqr24bNpEs1ZNS4V7Wost+trB4uy/qKgfafm1bUCSRk4A6K2mnv74k9Yuz0ochmtb1aUZtih0O9h2jgwCtocccoFAZrmak5Oq/PqTdQWKsWVrhRwAxiCwg6IOzbGvtDtq5T4Pw1T53OcSLFyYUcbeBGhoHSZy+WbXDOcSvmj9OVTTJh75vo9Ll67p99MX/KSndm4Hr/At4RkO5uaKKco7WKJ9FhX9+9wOKDFWpkbSDqxhaL2yptMHP5GqFesOmIUHTSBVIluhuAMUGxkEEAwfvnIQOPvnP0sba6YJFFtwj0FgB1i1TRRmgUvqPhtg2qQhxuxzbd7/XQvnZ6UnS9aad7otW/rr00/YBQD1Mh0CgqpZz1Sfvq4nP5xzg5St88jV6DLc6N0JP9TTpwMDBQjv+HpVCkBTP7cgtGQjKNobOy43a/rhP//LD2Dt+p4NttEuW81B+B0i/o6AQCwiYkHJT//xH3swb/sAACAASURBVNJmpb87MAaBV5WSF37nW40BwOxhR6VGM6C19jHm5m+P9HTqojYfPvKJRJ3M1nc4ECTwsGHA3NYlPP7nGamKELrNhnCcnMPU4cwmI7nwIX8N23P/hVkcB9iWAvTrY3NZV+oCa20BWbOqc+99IG1yNJ+vu7GKD2vAj7cFBNyinEq5VdfMJ59IlRWp5qcGWedlDALbisEoL5ABWhAG6pgcZIJhTUqyxdjIQK7Ht29pce6yNL/sMzhtMxfGp1N/tNnU0/MzWpq46EbAajoP0o794pRotAb2iXRjFJbp8bUTFHBNgDkAKHTWayvUKxaO1XQB4+Aqx9zBBcInAIDPfLQDQDCyJhBDhJa5LNe5995zEGCmGZnGgjEGAWfeDv+H/zGj0KJGKCA5m3nQNWj7dlX0O6v3ftPT89NqP3rqswsxFrLrU57p4dwlLXP4xyoHqKZxamwGNrSL6k9v1FcFppP3/PQdMrADQrjDZNlD0QGqtuyud5YGsyvb0Jwt52q68F/Up5oZdwFiO3cBmoMHO6QNjAwCnpNE91bmIDDuDrwxQYx6+GxdTFJC39LmamRauX9Py5yCw6w/jvWuN+047YfTs34aUifzhUo2gdUXMhmIJ1M0jRTmRJv7H4L4bMJvrOx7PyEHAZslmBiZHKd0XtPEnz9wcM4zM+yiANjFwQRjEAhq7G83hOZZN4EA/f2sqQ67PaMZ3PvNDzy5fV/ViRlVpubSISBUb/qnbgjkxF2b5G02ht4sNYDAOgPlBPc3C0Yo/bMg4N07ovTuQP3MeW3+ctZsbAzHRy9grAmMQPZ3+VPqJUJStBZICpU4qf220q+xZUDw6Kvv9dvRr6SVdd/+3eawZ9pUXVtJE/CzAJPGH5U+tT6RFu74elUKOAgYrCa6omWZpgUIsOEIO3S/x8zBWGPgpxMZCHBuxQ4wYNwdeFX+vWXfRaXsAwE8AQG6A7UtF6RmXUsXL2n1xzPa+PGsdP+RGwtbLPRqWOu/YWs9XZMo4iMuvPBIslfYsN4yWuyd7EDQpFttBwIrFU19dMC3cistCLPKj5Y3BoG9w+7XltMkBNTNvkppAECFZQIQRiaG/TI9OT+hlYkZH715/ESVCzPqPnhkM9L8EE3GGogJAfMZan2CFvG+tgLtp4hLIJAM/WgBUN+6A1lNm7+c0RaHmKYVm33kT7wflWJjTWBUCu7290kqhoIAMsa4E2pjo6H7k1N6fO5CGneuS1sb0qMnuv/LaWUry75IhYVD3dyOjyua/CRsOyRzu02xtyh9gNYXEJGp4CFugMDk+x9KawwRAg8w1K+3atpwOWP0W2yIcDw6ELx6/W4CARJCeOK2hA0EOrYF2N3T5zU/e8n3JGQX4y77O3FcWE2af6KnFybVuvu7rzWo1+2k3FLUrnb2ebz+or37KfRAANIGCPAcIPDLv/9nOro9gQA8TVqDhxudSjugCaRMkKNWpgvME9jY8H0GDblcteS1Zbp4wD+pnaOX452Kwej0vBIFDcNNYR0AMDYhXBgE2RY80/3TF7R88VraoThTp91gxFltjE9sbd6qq333gTamr9hGprZteDr/sC+JYRnrC7ANVkSYcFN+h0X3vGK/c+8gAP16aN3XnaOm++jAeTSBCvacBAJp7YB9Co934BoZBCiDXTy0Mp1lcsNGVcq2bEqkT09NAEDYoqkKy2hEsAOl2YNRDFYEY66VA7r0bvwtLP/CO54TWWtZ2pmGmYC1qh1qceunn7V585YdeBrTihloYjDQ+59pY1Lmqz+Y1/y5GTXv/O7diLRoCBFlshALj4x9bG8VGSrlBa8QZlx+278Ig2ue7hRh9iDfdiTLQbC2jwjAD1styNwOtLTGhk6/94m0Dj/drhOfxAEuO5GPkUAgMsRENROwJnsLfi+xC26rlkaagYHEe4SAH3A/7WW/E4XYy3FAuritHPEDlDek95YdkhnZCESY8KBlsHkjeNL6c2gJW381dffMr9q6c1eiv88MTo5+67JJlQOAg0CiHloDG4POr9jswbVrt5I9wUNx4Chz2/g28sFiljIglbNFGH4XhQsgMM9eEdLPlIl95gTBaD9tlgb7PHB2Z+qutev62//9kx1MooYv92bLOKMtTN8h4o0MAkUFxwDFfmi3H+jqya+kdj3tk0KI0lW0BiEVpXf77DFkAAoVVOKBIWFcSJTqOz8RFKb0WFjeIQ2JnjZVmIoMH+oN3fz1jO87yAYhzAFI69ZjwgmfchfzzwnDzrd5rvrvj7Q4eVEthg9z3+68zY7RKVONFhoH24uPJoWjfe202fP/qcvgPWwvtuJjh+5NaWtTpw8ckWrsJO3dBraRD7oVC/dGJMLIINBIZ+rZefScSlNr6h9/fs/P06O/adbPJM1klhJYKfAr+Y9YkL34OWSIym0VEg8AIJroRB7CRLh4ZTTkvUXS9j3+t3JpfctsAGwLZjsE2crCZIFmL0BOfQ78sIckgbTyTCqiC8A3T5b0dGLWtxZP+wnasXLoA2gUphXQTShpKGX+EnfKXoTBTd69l/60b/8Xa4AgjO3xABg3zE7z4PRprc1d9caV057SkEAfDXeAcjsCApaPJrvfcghGUxf/9r2roWxbxYqzgDoCFiVIBqwdKMRejQJS+IlMYchLtZ3aEhiZtL6iAhn9fF6/7T5LpTUtLFf9xj3bP2AFwYmKa/RPEdoCI2eA+3jknTQbzRYKxVHy7VyNR0+0fGHWjxjHzkM3g3XtZu+J8wYdoCxW/nEHOCWAALji7itHhN+rDBwx3xS/2HkfmkFfWgH2Fdyq66f3/pJsAZxXSIMagO1k5vuduEYGgSIjbFNFC4JBanVFl09944dVWsFox1IB0gcmcGNNwPrZ0MJQ3izFqSJBp/INt/lNa5DOqcO8Z4JTb6px+74WL8zZngDWf8SQVKqMRVwJCKiM3Obf7qQhQQdm2zKO7gP8nF/R/K8Tuvfj6XTaMCdKAwQ12wLb7QQejedvOAjQjYmujInAYNl2Qpr3WBzQv9Ds+JGmbjNao6U1XfjoU7floE0b3zu+LVyIghF89EKPBAKRvG06mYSzzbHjWaZz//WRHbCIkFqLZSCQWrxkZQYaTCAion3nUktD2efZe9nQJCppUWHCI9HZWgy6W426mnfuaWnmku8piEaWACDHRsBFJDwSRwECGJhKwJy31Wr5ScLmn046okuRP5lX69Z93fzr//gUY1tmzG5D8DbFYwkk/pZaLJIMLSAEviiTPew7phcFLtPGyMeWYsmou/TDGdWnLhsw2FkeBOh0FXYAZ+nOEHB0ELDcuHWD7cSswtdrmvjvg1KFsU7fOcWEHQHmtv6kC8fOFKOg6x578Fadlt372NscFuIc9zFls7GgAbDApKna7Vt6Ojnh+wQwAmDahFPV/sMapA2swU0EJz2zM0enNPnDQQMBPqCrYRpBZgeONK7e1t0ff07LjlFPo1o7Tx1p4tmTIslIfiALe4xXO59dSA4F69bN8lmdNopTb+rn//zATiKiO93sMGTYfzFKkFjW/+IVfo0GAggY/VE7/LJlgmwCtFWTrv2mh1/9jw1VmcCiuoZa02nbgRUQYKcK8gplfws+ARTdaIdazfLdpg3fdazBJoOBm85yKhhbi1dtL4DW9dtamp5W+/FDn0zCfgAcIJqG8Yy2/Bu8reSpsuL0McH9bTPS0FLI4+amGaiqV2/p1j/ZSLbhrZaNPFCOtnUpAAJWH7p+4HsRRvTlbAQ4vAVM2LUsQI8eHXwIkF2GMa6f/uCAz+3gNCnjQy+bTs/Ev573Kz+NDAIIEN2B6OPXGUqiNdpoauLAMd+8Im+qw/TUBATNxpYVfrPJUNM+vig8J9DYGHzbjITRtvKqvJuv2Q0QBvqLrUz3/vmjls9PSQuLEvP9abFtCbBPBEK4aOQDAHjED9cu0GXQBuEvjJcOSF6hDbyTmsowcO3GHd355YzWbzMfBDtQPWkpvpuRLUFO2o1FWcoHv/kZnaAiPxZw//2j/GaDQd0HWLcyPf7hV61OzroNxkCg1+oHKXta1+g0Gw0ELH1HpGCmnUuPcGW5Fi9e0e//+tmPJu80zZjk7O8UfZvRi7C3YzCVPPWn2Q5sq9tSPfb06+Zq0k/kPVZ+9m1sZrr1r5+1cfmGtLruxqS0ZyAthvfRE00SU6j8ZcOcvYVH2AwAA/rwSSMgbAAR7TlThByAOsrrHIThqxGXpy+pMn1ZW7d/c2HFiMi7OJ48hhyJuBQ/CEC2xiBQ5lHib5Zpc+aqHnHkO6MBZih0+kflD/etAoEYM7Y90M3o5Hvc2ZkDea6f/sQqKN8tFVHsYMxC7Y2NMZOg7u2q/Gq598rg4/bBVCqxW9xDDUyVK03GuvvDr6pyLLgNx2KpZ5PKljK1DAAKcvakxSocVKdnSQW3axAEUvjBymkA0vG4aeGbTVp9JiQxzXhBTy7MaOPOfd+i3IDAG4VGPW00awDQA5kxCAQDelqaAbEdLZ9p9vNT0uMFX+iVMeHuWRDwGN6W7oBV51Lb41JtUG+2gbyp7MpNzVsfEjW2mrZYTkLBIGkhtSXi7JNHik4lY7s4P0gitZrK1eo21Oz4cJxWV9W6fle3v/mn6jeSCt7GBuMtP/+hd0FKHtIoAKSM1j1aeAsXiQMGaSoqAFC8K8kY/vUETgZWzCvIWJyUSwurWpi5rKs//uJdA7NwpyEtFr3YSAFpROS9R/K1ry9ogia2xeSgXCuXr+nBj7+6LYAuHt1ng3DnbYmEVvO84RidgiN1BzxTfrKNZQVhbiRDISpobcO6Aje//FaVKwx30B6xAy6W59QsIWz79IJ+kCFuIwPHgNHaYhFGa6pX1frtd62em5Lu/OZdKzs7EANgbzSBuOziYcDi73zqVb747R94bQ8NwCprAEDiDSAFgDDO4+CSziWkO9HM1X20oPq9B5r+2z+8a7BV965GApidEtZUwnfHgRHQCC1vK9O5oyckjn1rNdVt+QK80BD7eQYJgkmjk2NHQMD7jCWk73bFEIYZlKpMHlrThSOfmXAzj6AAASQvCdroRdl7McDYJl3zhPf8NprRF6RPWK3p+jffaX12Tnr6pGeRZ7IQh4ik73DtMrkI7SqEJGkXCJv1/x10onuAARAwsYsMlD6L1jvjYBPSynM1M7oGHocFrm75tNatzMDg+v/8rAoLyNAUSiBA1HxnZSSySKfwsCT21z/KziS7Rkut6/d0528/JFuAN5amCSZCEdRIVTygHSS+jUi1kUDAednrDsTCJvJpkxoQOlTCZlP5nbu69P3fi4UsarB+MgR2oBRFQd0/foZrvn0/Br4f5WfEO+i+RJzlT4rgZU+eEzOf8ab1pq/N3Wypfv2Wbnz1rUR/e37etSgzAEYf0RfwRKMfFbZwMdAlQ52p5FRIq5QuTIgZCid2AgMBMhQVEzfyGhkFqRK7GD7cMqt1tGQdG9ZikhInHj2ZnNPixdLUZYaG06rRQnAjvRI9CpqVHyL9YW4KxyuucNPP1+aUs9JHtP4Xz03fYdX3e9j67aHmz0xJS+nkrpyJWGh6dAe8ohdlizR2sLwjg8BgSUt5dK7EdOLNTd08c1YLN2/6whZWHDK8lLEgpdfnadOClISR+KLlCdfSjDAFdQZz8gd/R8Yj3kG3lE4ENS/756gMHCLuRYvHO+KhucczNcosCEO95uAQa51Z6Udfmr52ta6NG7f1+OykOr8/Tpb3NMeiMBI9pxWw/AyUHb/yPUDT4pOBMH2xFIF6UVEkxBTXLsoDT5dWtTI9p2vf/M13MqZ706jaUKhBDuCU4ot9DYJmNixq7xIDCptCIh4Ni2k0/PZo4ttwy8WI58jiq7oRDy7pxO37MSb+GD9LtCZcwt4i3Q6GYJ8T0mJ2bSvX2WMnHQBsvQeS4WNG0Ib07CpnIHkW7yLMK7pvBgRsuKOj1uKSfp+eUfXOHanCvmlMk2SDisTNKCiEa3sR+d8jeJIdPKOSerBXLP6Qz4hvMP7wGxLcwqY8RLD0sz8eZDYdJEnrjSJkF5oSdAAEqjXNfve9li5ekdY3vQKhGQy0pN6aBgGGZerN+FGEWDAOGBgtGCEAzJZW1L17T3MnT2nzKloBexpuSswjsVmPTgD+tzpt1elmpFlwttKxrMX0AQHpOABEDSnTPZ6HUiBehjs0UPKMMOGWwoYXrnfmEggM5Cs+Cdyy4fNuR1m9Klua3c4099e/94y90I5dOPJMrM5Nyle/HHmiZbGLZF7ZHR0EgiIpC30/4weFAxLrdZt59sOxoy70/A6B4H2zZQskUHjBw2rb+59Wbv6F3ONG3K9c9P4PiQ6BjBsGRKuOn+WBTyLd5MZP8x/MH3Ewk47PAuhsclBHOQZAownGv0yVazd1/utv1VleVmtxMc0ABADKkfI8kAf32ZX/lCtoZBmgPPCTiUUYgbOm8keP9HhyShe/+c4nFbG2IfiO7aPFRhpeJuIL+puuYy1+Km9y4j1h7TLiDtDkj/j1oh8eX5n8Q+P1AABz5K0sL7ZCM0AsToMC+KuZLh//2tZkCGM6N1ozs2/Tfs8Aa1HOyEfyiKwkKozkvF4QIGs0exQAAWFue7Ol1vy8zn31jVbRCAIgeM9tKrUrWQABBLUriIBbUgPtXVDkVd2SDJFeAADpx3OZsV6re/kwvvDPyplcyyOTbZgJmKuaMTyaq41azMwwo4XPyT//+Sk9nbmobGHBDwqxxTuRerngpRYwyprIs1uOlZ3EeUBroWLbtmRpIxPWjiwtS08WNXPqW5/kZAKf7B8YHa1/lCtvMe251zWMIkL7Ml8CeCztCLRbbpLHwfxZ3hCIbsdHyQIcAYB6U3/73/8m3Xks1bABYQiGXh2bHBZx4dpFZGUxCHLH+xHd0UGgyF0vv06AlDNOW2VikFVyCsxMqFyNx091+8x5bVy9lVa90eqV1CqIZa1gLx6eEACqB4YtnssVckeeB6KEEcPukLnnpmmAlquhph/vjRmuyypLVOO6Ni7M6irbsa1sqPUE45+r/mwBRstSnk34TDopn4k6u+Z4lSUzqa/O7kSm/WQ2icnVXlq6ljLbsWhOl7/9u7QJDeKcxNQApIag22yKPfTgL3zmDkiEF0H7Pjl7FQoQwQBwh0iRDunHHTLQl2Y5I+lF5M8jzpXlmF+barXS5rubW7r2xZfqXr2ZjKnYgtoJ5dqmORLHVssGZL2wAQCRXqKBzcV5lXIPfPNGQMC4hnAwyy0MhQh8vakn56ZVvX6npyKiMqFOtjvqYDArUZ1HmFIWiD6JCCKN6paI9LyoLFgpQOnRKjEtPzMks7yqToe+cF2qrqhy5aIuHjuuOst/H86ru7TiANDx/f4BgD4QsApWkv4SMJHmbl4GWCxTpJsTBrvUMFAGu0w7SEbD+SV17z/Sje/+qfVL14tGwUaR6CagGRBP2th0EASsvGVCl8hS9n6ZZ8vbkAoWABCNTcgbster5InqkRDx8GwOPwiNQs+6mU3fbq9V15Vvv5MezftQIA2iDaUSMTs70RHoaT0WHf+G5BHavoUgEDl1l7xbIShUWmkYhekymQRjISrx2oaeTs+5caQCsTLlzWoJgyM+rxhFpcc7JRBp/VE3cczjKX/svIzo/Vf5fX9RU2hnHgLjK/DILyovO/80vdXbrOnyqVNamZxQ58F9aWXRJ4rQApr1qK2MsGgBqX8YNDOXPCQh8XQKEhR5ePMPEAMNhurBc/+FKYTLbCCoxPC8WpcWVrTwwxndOPGtanPX3Q+wYP5DF1tQrIMY3tcu6JLi70/1WZaSu8G7/CnPcUe4qPT8jndFOuERbiGP5DdPmh92n4Yv8KrWdfHEKbUePzIjaTP3TVnYw6HVyMwQTlSkVWgBJIZnyJul5T/2FAiYQYyyMAowAAY2UwqNoLKhp+enNXH8lPeNEBQbOYgugQOAtSy0isGlJHPx84+60NQuI26J03/kd+IQeXPGhFknGcgaLZvlN3PouK4cPyk9WZCW2f2XWXXcqdKj/QS34/gvW+CTvFOecEIbAgj4vXtXMgSmFYMxYwQ+DF5Qx8pHOeEvo0PrW9KjJc3/eEaXvv2r5plVarMlAQN4792joEsigUcdP4a5g4k/h7UhMxFN8Wl4DLopQHjbT37YhUD2NIA406F65aouff6l9DvHvaHm00XsqJqGlPk85nswbGxxg57hWQaBkry99ZpAMC7IY25QruwyFIRgsF59cUWzh0+oOXlV2kyLVGgdUKvZRMPUa0Tft8OCWuWoys80ruXf2z0jBLxrMkbLBcFtZ9f0jDdxJcnGIQfkxiuhj2X47i/YNJKQ12nxMjWmr+niZ6dM2LW46sNnABwtfgeB8Jaujz7BdFwyl5wQWLIUz+m1B3rj/9Fgkh1jQH03cpG5KItlNIGGbVSSaNCoSesVaX5BC2fO6dLJr31qNJoi3YN2pg77JwAI2BqSvYQJTlQCjImkkUPvlFanSZdim5o/QCOyVdCQb8h41GPX5ovJEEyJJyyvYzEWuYCHGH+btogLmxfdvqrZPS4eP2XnP7aWl9JEORLxZJCfMi9Jui8/8cNcaJcKWDQ4HtdAkf7wzx20CfQyWHDDOLFNnqKAxe41qXuwUFHllyld/OxLaaXmQycYkEwgIFmuetMt7eyFT2XP210DTdxW5hMsiuj7bU5unyz5EeNWjuqZwIAdkykKHtypWIBAlvvYLQAAijPlNmORD6PlbLFOq15lfL+pyrlZzX16Uo3Z62rf+s3LwVJghLvEzEjGqESmy2QsjYKQzxAaghXh43lX3FSpSzsjQRuH61S5gpa4lnEeKE2qYayPoNKwYKayLj1+qrljX2jy6Be+MnGj5sCJ9gBwQmOWW+fsSQEAlWjG4ESAAbRjxG3IbT2vsGMmWTAzRGQrUJ6CeBukfNP3bDR5M453VTcYQgYbaXUs6n/ddl7KL13TtSOnpKdLPjSa9gWw0Y8QNiaJDgBBH2/5UdxlwShpxjvA9x0Age1y0Z/pcqi+ghpHmGDiluIOk0kwCK5s6PLn3+rix59LldxaVdt1hd1wbeGsW9yLuFIC7KtnU5YhLl2N51x8G5WLOQlNa2V8TL9llTUxAbWMSphnytoOGLThhf16c8n2+sPiP/fZcc0ePKbq1BVpcU0dFoSQD8oZ6kQpT0X+eeAuKkuvtUAWaXlwERoLF+hRRFCK9A0+RjcI1zPfy55l7ZlyeZ+ZltOnxbJYhpY+gQH8X1mRFpY19elxXfzshLTqrSqTqawr0fEFNsgBW9qZQS0ZH4L30Q0tkyKy8jJufEc8vqcDLGTTlHYhV67FoYEw869pJ281zkzp9tFTWvjlnLSw1Dffg29boeIjeAnDeAxciHSLyl/QNejrbpShCD/CwxsHgch8uAhOO0fEQTf6Sm4UEuur5xGGTV06eFKTB49LtTSeiqqVwABKshmH7V9QJphVOK94qJBUwGEuOyGZWpmW41Kxm6X184Vwh/WbpoCuA9tA2Rp/WrGazh7+VJOHj0hrm74eHNWf1gs1lv5fg3bDmY0coFVAA7uCGCWXR74MAAj1076JlwQwj4jozbokXWyZDu3xCFktYVWRxfQAvX3nolz1vJY2LI1mF3sQxrSWzTpEBq6c+FoXPj2mzcvXpNqWdx+sS+X0Nb4WCadK0sndyDrAd+tOJL94dljy0xmZ19Es3Y2Ob5tnBWMeBN2PtHrSntkevFXT6tS0rh/9Us2fp6QHS9IaR/ERFtuGTwKCPpDAyIAwoNQMAwDYWAQMgva7xesdYPnOg0CRu/5MR17jNTQIIa8pS32sjlVAb13of6WZZ3QFllY1deSkMLC1pplW2/TTWgELwnWayrNYg52pi4ppuhz63HPuYmJOZmO6iAJbdKxnG+batt58j7rKpI7ldd9FeT3TtYMndemTY9b6q1K1fi2AYDYOm/OQFX1Yys30WMrch/pBkJLLY9AnRhpw3RA0oMcSeJeuJMcGVJYFWE4BS+AU5SiXuVw+Xw7ty9E5/MQbhGQQhIYYCisVaW3V+tbTxz7X7GfH1Zy66OPsaI12dFemxuaaZLPy0gapyd/sNPB58CZ+WyBN1Qf+nfdNZWbdRw7wz6jo2K1Ii0k9nAi0xuzXTHNHTmj26AlVpuZ8/v/ymndjoqEoG6cgEjRK/EVy+9jHj7hLoOb1IboAA994dCP9Hx0EikynfBS/Xw4EaIdp5So5OoBfWYsNNVrJ2OKHXdhMNFrXhVVtnp3W1YOfa/qTI1q+dFHaWu9Z28Pqzsw8gCB+D3PxQ8gwPFk3pGqHQKqdxvQZ16ePR/ytuhYmJ62/OnfoqC6yJ/zDZWlhXVqouHCYETMTC0N8iAsgcwGHLEwhHpSJgumJbkE+Ko3fzvxeE0uLW75H4v9IH5NXeEadtwuPyDjsL9k0olwRFBc/9irg5rl3+d6GDSofxmD2p4S2tP7zS2ZAXjs7oQufHtHEl6f0jyOHfIES/Iwb/vNd/A7X9mhEfS+FhcfcqPWDd0bayAC2ni2b5EW6M58eswZJDxel+Yq0goz0NL8uDYaBoq8VpzdoG8cgADYq4Ae8FuUOAoWbQAD5AfzjLl73iDXy08ggUGSKB67wKAtqH6p5kGgZrCuXBCanH27j4x11YLhTMQ0VJSSnpaXiMsZeq2rhl1919fMvdOa99zVz+FPVLkxIyyvSZlXa2HyJuyaB3higuNfTvbahmU8O6dyHH2vu6DGdO3RIT8+fldZWpJUFqZKG+cinLf9NhkFrXZzRme3+w/wXXylZ7q+avSL6h8lQWEb8otLzziQouYmWZaFIlN8dJ/EbJ+q/i0IZqFJXoZCNUrcBEGh1ba5RyI6tJLWwVCAfRTFNjIrMb+7NVamKIfGhGRTPHzion9//QBePf25ubXrGFmSZHCALcXOSUtzrVWnwRqOLm3er6zr70ce6cPCQZr74XGePfiatLjr/KyvJaJmmQHf9WDaG/6L7NkP3/gAAA9VJREFUFnIeZStk2rTTZBQo08WI5/JD2B4IOH0jaFHXdoDrrw8EouInAQ+hjkJYWSkAVAoVsgwGZjB0we9mWF9banNaqxmD6Eyx8m7LGf34qW+6ubyqyq9nNX3oU019fFBTBw9r+pNDmjxwaFv3/EcHdfEIWsWnOvfnj3T54FFN/vljXTt0XJpfNQOlni7axigc9OGaRdIU5Ou+YVSUj/5fpzTmHwuIAIBiEVHaodmbv963Q0EgAIAWhOckGKFGF3TcAWH4w1GQeMo+j8FG1wzSi+AjAcp3FBuNnEUzybX4Ihx9byt3dA9wW66eszk7Gho8YcXl2rpX7qcL5i6fOa9znxzShYOfDr0nDnwqbvg+8/Gnmks3Gl7c+PFey3RHKhLDfOvYethRG0DyIUxrBKy1xoCLvcMNuTEPwLCe8X9bMcuQIhpD0qGirIUbhHF3GAgUfOKbHbhGBoEX5uFFGS0KPyAkZf+QtEEXAcPyjoEO9YtpyQwnMiORHW8wIm3WUouwjbtFuJrfWJ/5hu+5WfNA/Ny09mlM3I19iHow7IVUePUAZTqUaBnerx7xDn1Zykg8lrLZX/HLSQ4NXArQ9z7oPODSwIAewSOTBboNLe+/Y0sK3j7Phe/b3cRlw5NMZR+QgWjgUoEjy6ERFVpAqVj+WC7HwMsUV9k34h3yqhzslZ9fPwi8ctZe8sMyhQafgeAX3WAPJ/WW7pdMeRzsLaCAaVcD+cAPzSu0rzJv/+hzxDGQxDv1890GgUFQGPb7nWLnuDA7TYFhIBNpPO9dhNkL7rsDAi9q8bd7X+LSsFai9Hr8uAcpMIynf8RvWJHL3w97v9f89j4IPIfiMGuUa9TvR0l7/O0fp0BUzj/+5ct/EWmE+/Jfvr0h32kQeHvJPs7Z66BAVMxwdzqNiDfcnY5/t+Lb8yAQDMF9let53z3v3aukNf7m9VMg5OF1pBRxv2tysedBYFRmB2OHxfOuMXtYGcd+L0eBkJN3USb2PAgMM/j/Eb+XE4FxqDEF3l0KjEHg3eXtuGRjCrwUBfY8CLxUKceBxhQYU2BbCoxBYFvSjF+MKbA/KDAGgf3B53EpxxTYlgJjENiWNOMXYwrsDwrsfRD4I0MBw8LuDz6PSzmmwLYUGIPAtqQZvxhTYH9QYO+DwP7g07iUYwq8NgqMQeC1kXYc8ZgCe4MCYxDYG3wa53JMgddGgTEIvDbSjiMeU2BvUGAMAnuDT+Ncjinw2igwBoHXRtpxxGMK7A0KjEFgb/BpnMsxBV4bBcYg8NpIO454TIG9QYExCOwNPo1zOabAa6PA/wduMW5Qxakk1gAAAABJRU5ErkJggg==)
You might recognise a Lemniscate as the curve that forms the symbol for Infinity. The Lemniscate Constant is the ratio of the perimeter to the diameter for Bernoulli’s Lemniscate. It’s like Pi but for Lemniscates.
Lemniscate Constant = 2.62205….
Buffon’s Constant
Buffon’s Needle Problem is one of the funkiest ways to estimate Pi. Draw horizontal lines which are equally spaced on a sheet of paper. Throw a bunch of identical needles at random onto the paper. (Make sure your needles are shorter than the width between the lines.) How many of these needles touch the lines? Remarkably, you can use this process to estimate Pi, as the probability of each needle touching a line is
,
where
is the length of each needle and
is the width between the strips.
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)
Image Credit: Buffon's needle problem
Buffon’s Constant is then defined as: ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAABACAYAAACUTB6QAAAFbUlEQVRoBe2YSyinXxjHGUbKYspGNvYKZWVQlNsGxUpkYSdsWKhZTMktFjMJO4ksJAuKnaJELJR7ySWj2bjkVsZ1DM+/79N8347f/N73vDP8y8Jbv9857znPeZ7P+T7nPe8lRF7BEfIKGOQNgll4U+JNCSrA0romfv36pbYPDw9a3t3dafn4+Egfwj6UZrtjYKlYITAezn/+/OkEuL+/1zoBEZjB0UcotlkY7PuE6YgwBENJZVD/8eOHxuMYQmqjx59VCcwMB4JxhtPT01JWViYxMTESGhoqWVlZ0t3dLdfX12oLCNp6xHa6rBCwpEMA9fX1SUlJiUxOTsrh4aGsrq7qOWAKCgpkc3NTnWPMiykBj1dXV+p4f39f0tLSpKioSHZ2drQNf2jPzMyUkJAQqaur0/VDBR0jj4ovJTAeC3NmZkYDIVhjY6O6xYzxa2ho0NTk5OTI1taW9nFteMTXLisEUwHrk5MTKS0tlfj4eJmdndXgDAQowCUnJ8v29rYt7pN+K8QT698nCMzggLy5uZGqqiqFKC4ultPT02DDXNusEAwGD8gz0sKDC29paUnV+fDhg4yNjWk3+vyuCysEPOLyJAwcMzhUuLy8lNraWlWhtbVVIdF+e3tLVmvpC4JBITsPKjI0NCTv37+Xr1+/OvsEbfyWVggC0CGCY6YXFxcyNzcncXFx0tPTo9KbKYBy5m7K8cFKKwQG0aGZku/fv0tqaqoMDg4qAPoAtrCwoCkKFsytzQoB51SDKcCumJGRIf39/Y5frIH19XXJz8/XndTp8FGxQsAH5McBIOyOuAyxfZ+fn8vx8bFekmdnZ9LR0SHV1dWaBr+pgF9fEFzpCIQgWIjYmHC/QPnu3TuJiIjQelNTk3MlEV5n4PHnCwLjkYrFxUUnMEAAER4ersEBExUVJZ2dnY5yHnGfdFkhMBvOCCBcH1QHKcIPB2/lqP9v6TCBEIjBCaQkv1UjLNu8SqsSvCKCOeHmhV2UigRu7cHGBbZZITgAs+XsTNnZH6z0a2eFCFSCKUBqUDdzj3Nz3QQDC9ZmhcAgzogAdERlcI66ec7FTFuv0heElwOCmYoEquc1Hn1WCATx+jE4bFCnAn8DYoXAhuT14+4ZFhYm+GHTYmmmx0sNK4SXCuhze3pCn9/DCuHHEaXnAnYDc/P1bAjOmCUBsDYI5xac7c+GgCMsSATnGmDJILby2RBUgIF4DhC/ML4heOkxCIOaJW2gipedOQZ1K4SZYw7mXROBGIx27KOtn9IKASeYIaTlTAMDE4ABYQebF0uHucLNPJsBaMMyEIpwbqUvJagGlcA5A9IxoKgQ7dlnK60QDGzOzlSB3y7MQObDjtnuVrdCYCBnPTIyIh8/ftT7Ax9w+ZTN+wXuHdHR0TI+Pu4W8492XxCYOd60YmNjpb6+Xpqbm/WLTU1NjbS0tEhhYaHk5eVJe3u7vnt0dXXpO8kf0VwarBAAwIey3NxcWV5eVje7u7v6sWxtbU13y4qKCoVk6mCE9WGeu8TXZisErPD6f3R05PhBWvCRDJ8M8U6anZ0tU1NTTv/fVqwQ5mxwj8BCxFvYp0+f9LFvZWVF0zQ/P+9cHVCBd1Q/QFYIXglcnBsbG5KYmCijo6Pqf2JiQhcqvmH962GFgGOAEObLly+SkJAgWA84BgYGFAJQUI2XJ/r46KeGHn++IKACIPb29iQlJUXKy8v1HO3Dw8MK8fnzZ98LMZDHCsE0YGBvb69ERkZKW1ub4wfpwB6BqwdfeHFAAXP3dIxdKlYIjINDyFxZWSlJSUny7ds3ZwM7ODiQ9PR0/bRMCKbO3GVd4muzLwgvBy/R9wZBFd+UeFOCCrB8FWviP2UGiyaFskMZAAAAAElFTkSuQmCC)
Numberphile Video: Pi and Buffon’s Matches
Further Reading
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