{"id":349,"date":"2017-03-13T12:40:43","date_gmt":"2017-03-13T16:40:43","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=349"},"modified":"2017-03-13T12:40:43","modified_gmt":"2017-03-13T16:40:43","slug":"the-square-armies","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=349","title":{"rendered":"The Square Armies"},"content":{"rendered":"<p>Emperor Manos was standing outside his tent on a hill overlooking his vast army camped in tents in the square formation normally used in battle. General Pathos and a Royal Guard were with the Emperor, as was his sorcerer Morgan.<\/p>\n<p>A raven briskly landed on a large branch of an oak tree. \u201cGuard, shoot the raven, Zanora must not know of our plans,\u201d commanded Emperor Manos.<\/p>\n<p>The guard rapidly and expertly pierced the raven with an arrow, and it fell croaking from the tree striking the ground.<\/p>\n<p>\u201cWell done, guard. It was a spy bird sent by the High Priestess, Zanora, who uses its eyes and ears to observe what we are discussing so she can report it to King Kali for his attack tomorrow,\u201d explained Emperor Manos.<\/p>\n<p>\u201cHow many men are left in my army, General Pathos,\u201d asked the Emperor.<\/p>\n<p>\u201cLord Manos, prior to our last battle we had counted twelve million men, but sadly we lost quite a few,\u201d replied General Pathos, eyes downcast.<\/p>\n<p>\u201cWhat about the number of men in King Kali\u2019s army. What can you tell me, Morgan?\u201d requested Emperor Manos.<\/p>\n<p>\u201cLord Manos, my divinations have revealed a maximum of 19\u00a0 million men,\u201d replied Morgan.<\/p>\n<p>\u201cGeneral Pathos, blow the horn for attack at dawn. When the battle starts we will see how things develop, but as the moon is full, Morgan could invoke the Moon Goddess Iona and have her conjure up 18 auxiliary units of soldiers in square formation to reinforce our army, if needed,\u201d the Emperor informed General Pathos.<\/p>\n<p>\u201cLord Manos, I\u2019m glad to hear this. We will be ready at dawn for this massive and decisive battle to save our people from the evils of King Kali\u2019s black magic,\u201d responded General Pathos.<\/p>\n<p>At dawn, Emperor Manos\u2019 army attacks, but, after seeing the great mass of soldiers in King Kali\u2019s army storming forward, the Emperor soon realizes that his army is greatly outnumbered.<\/p>\n<p>\u201cYour conjuring rite for the 18 units is needed, Morgan,\u201d shouted Emperor Manos.<\/p>\n<p>Morgan climbed onto a small mound and raised his hands to the Moon goddess Iona, sounding an invocation. After a short while,\u00a0 eighteen units of fully-armed soldiers materialized out of a large mist just ahead of Emperor Manus\u2019 army, nine units on either side forming a bull\u2019s horn attack configuration.<\/p>\n<p>\u201cI have done as commanded, my Lord. The Moon Goddess Iona informs me that our army and King Kali\u2019s are now equally matched with the same number of men,\u201d said Morgan.<\/p>\n<p>\u201cThank you, Morgan, you have performed an invaluable service,\u201d exclaimed Emperor Manos<\/p>\n<p>Then King Kali\u2019s army splits up into 16 equal square units forming a semi-circle and attacking Emperor Manos\u2019 army with great intensity.<\/p>\n<p>\u201cMy Lord Manos, if I knew how many men there are in any one of the 16 units of King Kali\u2019s army, I could create a resonance spell resulting in a multitude of ghostly apparitions that sow great confusion and disorientation among King Kali\u2019s soldiers,\u201d said Morgan.<\/p>\n<p>\u201cYes, this will definitely save the day for our island Ruta,\u201d enthused Lord Manos.<\/p>\n<p>\u201cGuard, summon Leonoros, the Court Astrologer, immediately. We need to calculate the number of men in any one of these 16 units,\u201d shouted Lord Manos.<\/p>\n<p>The guard hurried off to fetch Leonoros, the Court Astrologer.<\/p>\n<p><em>To help Lord Manos win the battle, how many men would you say are in one of King Kali\u2019s 16 equal units?<\/em><\/p>\n<p><em>Can you also work out the number of men in one of the eighteen conjured units?<\/em><\/p>\n<p><em>And while you are at it, what about the size of the opposing armies?<\/em><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-349\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-349\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-349\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Emperor Manos was standing outside his tent on a hill overlooking his vast army camped in tents in the square formation normally used in battle. General Pathos and a Royal Guard were with the Emperor, as was his sorcerer Morgan. A raven briskly landed on a large branch of an oak tree. \u201cGuard, shoot the [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-349\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-349\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-349\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=349&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[50],"tags":[99],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-5D","jetpack-related-posts":[{"id":735,"url":"https:\/\/www.blogs.euni.org\/?p=735","url_meta":{"origin":349,"position":0},"title":"The Emperor\u2019s Triangular Array","date":"October 17, 2018","format":false,"excerpt":"To emulate and surpass the famous emperor Qin\u2019s necropolis achievement, emperor Wu Shu, who preferred to be known as \u201cHe Who Cannot Be Counted,\u201d decided that after the end of his life he wanted to be buried at the head of an army of 10,440 terracotta soldiers standing at attention\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":291,"url":"https:\/\/www.blogs.euni.org\/?p=291","url_meta":{"origin":349,"position":1},"title":"Spies at Emperor Wang Shu\u2019s Court","date":"December 31, 2016","format":false,"excerpt":"One summer evening during the hour of the horse, the Chinese emperor Wang Shu summoned his spymaster Lang Dang to his private suite in the palace. He was worried, as he had received information from the palace cook Chu Shi that his enemy, the warlord Dui Yuan, had planted ten\u2026","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":433,"url":"https:\/\/www.blogs.euni.org\/?p=433","url_meta":{"origin":349,"position":2},"title":"The Army Sizes","date":"July 30, 2017","format":false,"excerpt":"The generals Chi Wong and Chow Loo were having a discussion one day on the top of a hill overlooking the plains of their respective army camps. \u201cMy army is bigger than yours,\u201d said general Chi Wong to general Chow Loo. \u201cI\u2019ll wager my best concubine on it.\u201d \u201cWager likewise\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":295,"url":"https:\/\/www.blogs.euni.org\/?p=295","url_meta":{"origin":349,"position":3},"title":"The Size of the Persian Army","date":"January 9, 2017","format":false,"excerpt":"The king of Persia, Darius \u2013 self-proclaimed as the \u201cKing of Kings\u201d\u2013 jerked aside the flap of his elaborately decorated campaign tent and strutted out in splendid war regalia. King Darius\u2019 soothsayer Macumba had just informed him after inspecting some dots in the sand that the number of soldiers in\u2026","rel":"","context":"In &quot;Divisibility&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":504,"url":"https:\/\/www.blogs.euni.org\/?p=504","url_meta":{"origin":349,"position":4},"title":"A Sack of Figs","date":"October 17, 2017","format":false,"excerpt":"On a starry night with a new moon, Ali climbed over the wall to the Sultan\u2019s garden with a sack to steal some figs he planned to sell at the Kasbah market. Ali nimbly climbed the fig trees one by one, filling the sack hurriedly so he would not be\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":578,"url":"https:\/\/www.blogs.euni.org\/?p=578","url_meta":{"origin":349,"position":5},"title":"The Twin Birth Rate","date":"February 26, 2018","format":false,"excerpt":"\u201cDid you know that seven pairs of twins are born on average at each of the hospitals in Brownville?\u201d said security guard Barney Coxworth to Hank Burnside, the janitor of the Belleview Hospital. \u201cNaw, had no idea, Barney. Why is that important?\u201d said Hank, steering his mop bucket into a\u2026","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/349"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=349"}],"version-history":[{"count":1,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/349\/revisions"}],"predecessor-version":[{"id":350,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/349\/revisions\/350"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}