General Spreadsheets  

square qualification spreadsheet (2002.09.29) manual 
This spreadsheet superseed most of the other spreadsheet, in that most of the basic creation methods are implemented in the macro langage "Visual Basic for Applications", the following keystrokes are implemented: <ctrl>W (indow) Check main windows input and create square <ctrl>Q (ualify) Qualify the given square <ctrl>P (rint) Print the square in neat 16 by 16 portions note that the last keystroke redirectthe usual excell <ctrl>p to the squareprint macro currently the spreadsheet implements creation through the following methods (field Q3): kj: knightjump procedure de: digit equations (John R. Hendricks) pde: pdigital equation (implemented for p = 1,2,3,4 and 5 pan: (regular) pandiagonal squares of prime order sample fields F4 gives the sample set G4 the sample within the set sample set 0 revers to the manual input fields H3:R14 C15:R16 C17:R18 also in use for the samples sample set 1 revers to the paste area where one can paste any square one like at A4 sample set 2 revers to the "sample set 1" worksheet with the known trimagic squares sample set 3 / 9 are defined in the "sample set 2" worksheet with a snapshot of data for the options kj, de and pde selectable by number further the panreloc E13 E14 field panrelocates and the aspect F13 regulates the aspectial variant (values: 0..7) For further details I rever to the spreadsheet manual More ptions might be built in in some future date (feel free to contribute) NOTE 1digital use coordinate 0 .. m1 while digit equation coordinates 1 .. m, so that parameters must be converted when one or the other is used 

square construction by pdigital equation (2002.08.31) 
This spreadsheet implement the square construction by pdigital equation therewith it gives access to the in the encyclopedia database listed order 8 and 9 bimagic squares obtained by this method (the first 16 are listed in sampleset 2 resp 3), the input display D2 is the sampe set, and E2 the sample mumber, if the sampel number is set to 0 the input midsection becomes active so that the user can experiment with values, any other number selects a sample from the given sample set The 1digital point of view difffers from J.R. Hendrickses digitequations in the fact that the latin squares are calculated using coordinates [0..m1] in the first and [1..m] in the latter, the spreadsheet allows for this by the imput cel D2 (in the digital tab spreadsheet (automated in the samples listing by the control section of the tables) Another diffrence between the two s the use of the permutation, either permuting the main diagonal or changing the digits. The spreadsheet allows for inputting the '=' (digit change on both latin squares), or the '_' (main diagonal permutation of lower latin square only) field L3 the field L4 allows for transposing the lower latin square by inputting a 't' here If time permits more data will be added to the sample listings, the reader is free to add his own sample set to the ones listed (sample handling is completely implemented in its own tab spreadsheet (contact me if you need help adding such a set). The spreadsheet is set for manual recalculation <F9> for allow fast parameter input also the qualifier is valid only for the inputted power, so change to 2 inorder to check the bimagic propeerty. (PLEASE report to me if inadvertently this check is in error) 

square construction by digit equation (2002.08.23) 
This spreadsheet implement the John R. Hendricks's construction by digit equation for squares. Next to the input mode (sample 0) it also holds a sample mode, currently holding merely the samples taken from John R. Hendrickses book "Magic Square to Tesseract by Computer". Given a sample the "Latin Prescription" might hold a reverse of the intended digit equation, the ones I verified had merely an aspectial variant of the square the book lists. Also the litle same description are merely the books pagenumbers according to the copy I have. (John might augment this lists according to recent versions of his books The user might easily add his own samples to the sample list, allowing him easy acces to thesquare by simply typing is its sample number in the main screen. If the list grows beyond it's current limits just increase the numbers in the first row of the sample page. 

panmagic squares of prime order (2002.08.23) 
This sqpreadsheet implement this authors viewpoint of the construction of prime order panmagic squares. Input validity is checked here in a limited manner, permutations are not checked for validity etc. In principle as theory suggest all regular panmagic squares are obtainable by the method (the spreadsheet is limited to prime order 5 uptill 37 as the maximum order of ntermediate squres is 40 (also the limit for the DigitEquations spreadsheet) 

multimagic samples (2002.08.21) 
Spreadsheet displaying various trimagic spreadsheets currently around. It allows for symmetric diagonal permutation of the given squares powers 1, 2 and 3 can be tested against either the theoretical or the first column sum higher powers are only testable against the sum result of the first colmn, thereby allowing the find of higher pmultimagic squares. Currrent the spreadsheet is limmited to order 128 however the reader could stretch the "sample" and "powered" squares to allow higher order testing Current mishaps, a hyperlink in a samles accompanying text doesn't remain a hyperlink in the userinterface (therefore hyperlink are explicity situated in the "samples page") positions of squares and accompanying texts need be manually canged / added in the sample control table on top of the samplepage, in case of addition one also need to increse the table range in the second column control statements. The helptext also need a mnor alteration in this case. NOTE statements are rather compex and also the intermediate squares order is relatively high changing the sample number might therefore take a while to be calculated. This also applies upon changig one of the other involved parameters. 

square multiplication (2002.08.26) 
Square multiplication is a way to combine two square into one by a method simular to regular number multiplication. Acording to theory when both involved squares are of certain quality the resulting square is also of that quality, This fact I have proven for pandiagonality and pMultimagicness The spreadsheet implements the multiplication process, the policy page allows to influence the aspectial variant of the multiplicant into the multiplyers cell (due to the rather involved expressions this does not go beyond the 4 reflections (N,H,V,R) besides the Transposition, given the quality of the squares many more possibilities exist) as the download file show the multilication of two trimagic order 12 (by Walter) gives a trimagic square order 144, by changing the input to two order 8 bimagic squares you thus obtain bimagic squares order 64, simular bimagic squares orders 72 and 81 are obtainable Due to the involved equations this spreadsheet ses "manual recalculation <F9>" for the entire spreadsheet "shift<F9>" for the current sheet For the multiplication no definite notation is decided upon (aside from formula) in case of this spreadsheet one need to specify square1, square2 and placement policy as stated (far too) many othr possibilities exists 
