Other Mathematics Commons^™

Constructing Invariant Subspaces As Kernels Of Commuting Matrices, Carl C. Cowen, William Johnston, Rebecca G. Wahl

Scholarship and Professional Work - LAS

Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an n n matrix N that commutes with A and has N = kerN. For Q a matrix putting A into Jordan canonical form, J = Q􀀀1AQ, we get N = Q􀀀1M where M= ker(M) is an invariant subspace for J with M commuting with J. In the formula J = PZT􀀀1Pt, the matrices Z and T are m m and P is an n m row selection matrix. If N is a marked subspace, m = n and Z is an n …

Celebration Of Mind Puzzle-Game, Jeremiah Farrell

Scholarship and Professional Work - LAS

Each different letter of "Celebration of Mind" is used exactly three times in the following words: ACE, BAM, BID, BLT (the sandwich), CON, FEN, FIT, MIC (microphone or 1099), OLD, RAN, ELM, RFD (rural free delivery), ROT.

Magic Cubes, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

Jeremiah's puzzle "Magic Cubes", which was exchanged at the 2018 San Diego International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also mass produced by Kadon Enterprises, Inc. as "Magic Cubes".

Mathematical Evolution, Jeremiah Farrell, William Johnston

Scholarship and Professional Work - LAS

Crossword puzzle featured in the May 2017 issue of American Mathematical Monthly.

The Tea Party, Stephen Bloom, Jeremiah Farrell

Scholarship and Professional Work - LAS

No abstract provided.

A Gathering For Gardner Puzzle-Game, Jeremiah Farrell, Chris Morgan

Scholarship and Professional Work - LAS

Each different letter of "GATHERING FOR GARDNER" is used exactly three times in the following words: DIE, FAD, FIT, FOG, GIN, HAG, HER, HOD, NOR, RAT, TEN.

Alice In Wonderland For G4g13, Jeremiah Farrell, Emmanuelle Malte Salvatore, Todd Wilk Estroff

Scholarship and Professional Work - LAS

Each of the ten different letters in the title is used exactly three times to form the words in the circles. Martin Gardner's famous work The Annotated Alice was first published in 1960 and we honor him in this essay.

Euler Entertainments, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

No abstract provided.

Martin Gardner Puzzle-Games, Stephen Bloom, Lacey Echols, Jeremiah Farrell, Shannon Lieb

Scholarship and Professional Work - LAS

No abstract provided.

The French Resolution, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

Jeremiah's puzzle "The French Resolution", which was exchanged at the 2017 International Puzzle Party in Paris, France. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also manufactured by Kadon Enterprises, Inc. as "The French Resolution".

Two Games Displayed By Butler’S 2017 Celebration Of Mind, Jeremiah Farrell

Scholarship and Professional Work - LAS

Jeremiah's two games displayed by Butler's 2017 Celebration of Mind.

The Jin And Jang Of Quantum Physics Truth Tables, Shannon Lieb, Jeremiah Farrell

Scholarship and Professional Work - LAS

No abstract provided.

Kate Jones – A Tribute, Karen Farrell, Jeremiah Farrell

Scholarship and Professional Work - LAS

Kate is also an accomplished recreational mathematician and poet. To try to match in a small way her creative ability, we offer three puzzle-games in her honor: O'BEIRNE's TRI-HEX, PAPPUS and "KATe JONES". These three are specific examples of (9,3) symmetric configurations. More generally an (n,r) configuration is a collection of n "points"and n "lines" subject to the following requirements:

Rl: Any two points belong to at most one line.

R2: Each line has r points, and each point belongs to r lines.

A New 12-Puzzle, Todd Estroff, Jeremiah Farrell

Scholarship and Professional Work - LAS

This puzzle is a continuation of the tribute to the magician Paul Swinford. The following 18 two-letter words use each of the 12 letters of PAUL SWINFORD exactly three times each. The words are to be placed on the nodes of the grid so that each hexagon and each of the three diagonals contain the 12 letters of our honoree's name.

The White Rabbit 12-Puzzle, Chris Morgan, Jeremiah Farrell

Scholarship and Professional Work - LAS

Martin Gardner's fondness for the characters and themes of Lewis Carroll's "Alice" is well-known and to honor Gardner we offer two word puzzles to be played on the 12-node diagram of the WHITE RABBIT.

Paul Swinford – A Tribute, Jeremiah Farrell

Scholarship and Professional Work - LAS

No abstract provided.

You Like Japan, Jeremiah Farrell, Kate Jones

Scholarship and Professional Work - LAS

Jeremiah's puzzle "You Like Japan", which was exchanged at the 2016 International Puzzle Party in Kyoto, Japan, alongside Kate Jone's "You Like Japan" 12x12 Challenge. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is manufacured by Kadon Enterprises, Inc. as "You Like Japan".

Photo Of Euler Semimagic Square With Exercises., Jeremiah Farrell

Scholarship and Professional Work - LAS

A submission to the Gardner Birthday Celebration on the occasion of his 102nd birthday in October 2016.

A Special Tribute To Martin Gardner, Jeremiah Farrell

Scholarship and Professional Work - LAS

There are exactly 12 different letters in the phrase GATHERING FOR MARTIN GARDNER. We use each of the 12 letters three times each in 18 different two-letter words that are to be placed on the nodes of the graph so adjoining nodes have a letter in common.

Scrambled Squares, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

Jeremiah's puzzle "Scrambled Squares", which was exchanged at the 2015 Ottawa International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also manufactured by Kate Jones as "Scrambled Squares".

John Horton Conway: A Puzzle Game, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

There are 10 different letters in the name JOHN HORTON CONWAY and we use each of these exactly three times each to form the following ten words: JHC, COW, NYC, JAN, RON, WRY, RAT, JOT, HWT, HAY.

The Most-Perfect 4*4 Puzzle Game, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

Draft of the 'Solution Page' for Jeremiah's puzzle "The Most Perfect 4*4 Puzzle Game", which was exchanged at the 2014 London International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exhange them. Includes e-mail correspondence with editor of the book.

Chasing Squares [Pamphlet], Jeremiah Farrell

Scholarship and Professional Work - LAS

Pamphlet accompanying Jeremiah Farrell's mass-produced "Chasing Squares" puzzle.

Nightmares, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

Jeremiah's puzzle "Nightmare", which was exchanged at the 2013 Washington, DC International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle was a special puzzle gift that was given to IPP32 exchangers by its designer, Jerry Farrell, in memory of longtime IPP member, Tom Rodgers, Jr.

Flying Saucer, Jeremiah Farrell, Karen Farrell

Scholarship and Professional Work - LAS

Jeremiah's puzzle "Flying Saucer", which was exchanged at the 2013 International Puzzle Party in Washington, DC. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also manufactured by Walter Hoppe as "Flying Saucer".

The Seaborgium Chemical Table, Jeremiah Farrell

Scholarship and Professional Work - LAS

The diagram is an example of a connected, cubic graph with its ten nodes labelled with the letters of SEABORGIUM, chemical element 106. Connected means it is in one piece and cubic means that each node has exactly three edges on it.

Some Curious Cut-Ups, Jeremiah Farrell, Ivan Moscovich

Scholarship and Professional Work - LAS

We have noticed a certain kind of n-gon dissection into triangles that has a wonderful property of interest to most puzzlists. Namely that any two triangles have at least one edge in common yet no two triangles need be congruent. In an informal poll of specialists at a recent convention, none of them saw immediately how this could be accomplished. But in fact it is very straightforward.

The Eight Monarchs (Some Mathematical Magic), Jeremiah Farrell, Eric Nelson

Scholarship and Professional Work - LAS

The eight Monarchs are the four Kings and four Queens of an ordinary deck of cards. We can perform our magic without a deck by using the grid below with the K-Q token ( a coin can be used instead if one wishes).

The Effect: The magician's back will be turned while Mark, the subject, places the token on one of the suit nodes. Mark is to remember this starting position. Then Mark makes a sequence of moves; a move being one of four possibilities: a horizontal move, a vertical move, or a diagonal move to a new node or …

Cube Mentalism, Jeremiah Farrell, Ivan Moscovich

Scholarship and Professional Work - LAS

Our tour of multidimensional cubes begins with the marking of the eight comers of a 3-cube with the eight words HOT, POT, POD, HOD, HAD, HAT, PAT, and PAD. The figure below shows how these eight inherit the labels of the HOT-PAD).die where the letter H is opposite P, the letter O is opposite T and the letter T is opposite the letter D...

The Stenographic Affine Plane, Oscar Thumpbindle, Jeremiah Farrell

Scholarship and Professional Work - LAS

This square, composed of familiar words, is semimagic because any row or column (the rook sweeps) anagrams into STENOGRAPHIC. "Semi" means the diagonals don't. However, there are four very special diagonals; those that have words with one of the four vowels of STENOGRAPHIC in common. These four bishop sweeps will be important later. Keeping with the chess piece theme, the reader will take notice of the knight 4-tours using the consonants P, H, Rand C. For example one of these is the P-tour SAP, PEG, PIN and TOP. Another set of knight tours traces the letters S, T, G and …