Tourmaline magic.

Tourmaline magic. The pale beige mineral-gem Tourmaline tourmaline(tr`məlĭn, –lēn), complex borosilicate mineral with varying amounts of aluminum, iron, magnesium, sodium, lithium, potassium, and sometimes other elements, happens to be my birthstone birthstone:see month. birthstoneGemstone associated with the month of one's birth. Wearing one was popularly supposed to bring good luck or health. and possesses unexpected magical properties as we will soon see. It isalso of great interest logologically since as an isogram i��so��gram?n.See isoline.isogram?See isoline.Noun 1. isogram - a line drawn on a map connecting points having the same numerical value of some variable it splitsnicely into five two-letter words TO-UR-MALI-NE all of which may befound in standard dictionaries. Other splits are possible, making thisgem very special. Further, upon separation of the five vowels and five consonants, weobtain the balanced word set: T R M L NO TO OR OM LO NOU UT UR MU LU NUA AT RA MA LA ANI IT RI MI LI INE ET RE ME EL NE These 25 words can be arranged in a 5x5 magic square so that noletter is repeated in any row, column or diagonal (broken or not). Wepresent one such square as a puzzle for the reader. Six words of the 25are given Sudoko style as starting hints, for the unique solution to thepuzzle. The answer will be given overleaf o��ver��leaf?adv.On the other side of the page or leaf.overleafAdverbon the other side of the pageAdv. 1. . [ILLUSTRATION OMITTED] The determined reader should have been able to use logic alone toarrive at this solution:TO ME IN RA LUAN UR LO ET MIEL IT MA NU ORMU NO RE LI ATRI LA UT OM NE We have created a pandiagonal magic square with TOURMALINE as itsmagic constant. This extends the results found in Word Ways articles (1)and (2). It is interesting to note that if one gives any diagonal set offive clues with no repeated letters the resulting puzzle will alwayshave exactly two solutions. Had we not given the sixth clue UT therewould have been a second solution with OR in place of UT. Magic squares have a long history of course, but word magic squaresare newer. The aforementioned Word Ways articles have certainlycontributed to these new results. The author Clifford Pickover producedan encyclopedic en��cy��clo��pe��dic?adj.1. Of, relating to, or characteristic of an encyclopedia.2. Embracing many subjects; comprehensive: "an ignorance almost as encyclopedic as his erudition"work, (3), that cited the results in (1) and this waslater adapted by Scott Kim Scott Kim is an American puzzle and computer game designer, artist, and author. He started writing an occasional "Boggler" column for Discover magazine in 1990, and became an exclusive columnist in 1999, and created hundreds of other puzzles for magazines such as in (4). There is much more to be said. For instance it is easy to turn theword square into a number magic square by assigning to the five vowelsthe numbers 0,1,2,3, or 4 in some order, and the five consonants thenumbers 0,5,10,15 or 20 (also in any order). When the two-letter wordsare then totaled, the numbers 0 through 15 will occur in the grid In the Grid is a game show that airs on UK broadcaster Five at 6.30pm week nights. It first aired on Monday 30 October 2006.In the Grid is hosted by Les Dennis and is produced by Initial West, one of the Endemol UK companies. makingit magic with constant 60. In future articles we will say more about the5-fold symmetries involved here and how the magic squares can extendtheir magic to the whole plane. (1) Farrell, J. "Magic Square Magic", Word Ways, 33 (2),May, 2000, pp. 83-92. (2) Thumpbindle, O. "Most-Perfect Word Magic", Word Ways,40(4), Nov. 2007, pp. 293-296 (3) Pickover, C.A. The Zen of Magic Squares, Circles, and Stars.Princeton Univ. Press, 2002. pp. 144-146. (4) Kim, S. "Mind Games", Discover Magazine, Nov. 2006,p. 74 OSCAR (Open System for CommunicAtion in Realtime) AOL's internal project name for AOL Instant Messenger (AIM). The core functions of OSCAR, known as the Basic OSCAR Services (BOS), include Login/Logoff, Locate (find out about other AIM users), Instant Message THUMPBINDLE Timberland Cusp cuspIn architecture, the intersection of lobed or scalloped forms, particularly in arches (cusped arches) and tracery. Thus the three lobes of a trefoil (cloverleaf form) are separated by three cusps. , OH