{"id":798,"date":"2011-12-18T17:05:27","date_gmt":"2011-12-18T16:05:27","guid":{"rendered":"http:\/\/lornemitchell.com\/blog\/?p=798"},"modified":"2011-12-20T10:38:32","modified_gmt":"2011-12-20T09:38:32","slug":"four-beautiful-christmas-trees","status":"publish","type":"post","link":"http:\/\/www.lornemitchell.com\/?p=798","title":{"rendered":"Four Beautiful Christmas Trees"},"content":{"rendered":"

In celebration of the time of the year, I found these four sets of elegant Mathematical Formulae which I thought would make excellent Christmas Trees! \u00a0As we leave 2011, here are two that celebrate the symmetry of eleven:<\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0+<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1 x 9 + 2 = 11<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 12 x 9 + 3 = 111<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 123 x 9 + 4 = 1111<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1234 x 9 + 5 = 11111<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 12345 x 9 + 6 = 111111<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 123456 x 9 + 7 = 1111111<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a01234567 x 9 + 8 = 11111111<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a012345678 x 9 + 9 = 111111111<\/span>
\n\u00a0 \u00a0 123456789 x 9 +10 = 1111111111<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=====<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 ===<\/span><\/p>\n

And here is another that balances the tree above with another set of elevens:<\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0*<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01 x 1 = 1<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 11 x 11 = 121<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 111 x 111 = 12321<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01111 x 1111 = 1234321<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a011111 x 11111 = 123454321<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 111111 x 111111 = 12345654321<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a01111111 x 1111111 = 1234567654321<\/span>
\n\u00a0 \u00a0 \u00a011111111 x 11111111 = 123456787654321<\/span>
\n\u00a0 111111111 x 111111111 = 12345678987654321<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 =====<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0===<\/span><\/p>\n

And for those of you who believe, like the Chinese, that “8” is lucky, I have dressed this one in red:<\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0+<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 9 x 9 + 7 = 88<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a098 x 9 + 6 = 888<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0987 x 9 + 5 = 8888<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a09876 x 9 + 4 = 88888<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a098765 x 9 + 3 = 888888<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0987654 x 9 + 2 = 8888888<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a09876543 x 9 + 1 = 88888888<\/span>
\n\u00a0 \u00a0 \u00a0 \u00a098765432 x 9 + 0 = 888888888<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=====<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 ===<\/span><\/p>\n

And finally this one, my favourite, which took me ages to decorate!<\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 +<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01<\/span> x 8<\/span> + 1<\/span> = 9<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 12<\/span> x 8\u00a0+\u00a02 = 9<\/span>8<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1<\/span>23<\/span> x 8 + 3<\/span> = 98<\/span>7<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 12<\/span>34<\/span> x 8 + 4 = 98<\/span>76<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 12<\/span>345<\/span> x 8 + 5 = 98<\/span>76<\/span>5<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 123<\/span>4<\/span>56 x 8 + 6 = 9<\/span>876<\/span>54<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 123<\/span>4567<\/span> x 8 + 7 = 9<\/span>876<\/span>543<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 1234<\/span>567<\/span>8 x 8 + 8 = 98<\/span>7654<\/span>32<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 12<\/span>3456<\/span>789 x 8<\/span> + 9 = 9<\/span>876<\/span>5432<\/span>1<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=====<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 ===<\/span><\/p>\n

A very happy Christmas and successful and abundant New Year!<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

In celebration of the time of the year, I found these four sets of elegant Mathematical Formulae which I thought would make excellent Christmas Trees! \u00a0As we leave 2011, here are two that celebrate the symmetry of eleven: \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0+ \u00a0 … <\/p>\n

Continue reading “Four Beautiful Christmas Trees”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[35,69,5,62,43,53,60,57,46],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p6DQGK-cS","jetpack-related-posts":[{"id":460,"url":"http:\/\/www.lornemitchell.com\/?p=460","url_meta":{"origin":798,"position":0},"title":"Where Should we Put the Fibre?","author":"Lorne Mitchell","date":"17\/03\/2011","format":false,"excerpt":"I was doodling the other day and came up with this ABC of Fibre-to-the-Alphabet: Fibre to the Antenna Fibre to the Business, Basement Fibre to the Cabinet \/ Community \/ Church \/ Carpark \/ Community Hub Fibre to the Device (what happened to LightPeak?) 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Sure, 2011 was turbulent for many.\u00a0\u2026","rel":"","context":"In "Change"","block_context":{"text":"Change","link":"http:\/\/www.lornemitchell.com\/?cat=41"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/lornemitchell.com\/wp-content\/uploads\/2012\/01\/how-to-create-sales-habits.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1169,"url":"http:\/\/www.lornemitchell.com\/?p=1169","url_meta":{"origin":798,"position":3},"title":"2012: What Will You Remember?","author":"Lorne Mitchell","date":"27\/12\/2012","format":false,"excerpt":"As we leave 2012, there are many things we may remember which, for those that live in the UK, can \u00a0be summed up as a year of broken records: The driest spring for 100 years followed by the wettest 9 months since records began The summer Olympic and Paralympic games\u2026","rel":"","context":"In "Big Ideas"","block_context":{"text":"Big Ideas","link":"http:\/\/www.lornemitchell.com\/?cat=42"},"img":{"alt_text":"Spectators Queue At Greenwich Park For The Equestrian Events","src":"https:\/\/i0.wp.com\/www.lornemitchell.com\/wp-content\/uploads\/2012\/12\/2012_Games_Maker-300x200.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":899,"url":"http:\/\/www.lornemitchell.com\/?p=899","url_meta":{"origin":798,"position":4},"title":"World Water Day and The Big Thirst","author":"Lorne Mitchell","date":"22\/03\/2012","format":false,"excerpt":"I have subscribed for several years now to a great site called ChangeThis - where anyone can publish a manifesto to change something that they think is important.\u00a0 So it was today that I was browsing the site and found out that it is World Water Day.\u00a0 Designated by the\u2026","rel":"","context":"In "Big Ideas"","block_context":{"text":"Big Ideas","link":"http:\/\/www.lornemitchell.com\/?cat=42"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/lornemitchell.com\/wp-content\/uploads\/2012\/03\/33_04_3-Water-Texture_web.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1207,"url":"http:\/\/www.lornemitchell.com\/?p=1207","url_meta":{"origin":798,"position":5},"title":"The Story of the Greatest Lumberjack in the Land","author":"Lorne Mitchell","date":"28\/02\/2013","format":false,"excerpt":"I had to introduce a workshop last week with a bunch of folk who were trying to take on the \"big guys\". \u00a0I opened the workshop with a story which, for me, \u00a0gives great hope to the small guys who are toiling away to take on the big guys. 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