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Physical Sciences and Mathematics Commons

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Articles 1 - 14 of 14

Full-Text Articles in Physical Sciences and Mathematics

Euler Entertainments, Jeremiah Farrell, Karen Farrell Jun 2019

Euler Entertainments, Jeremiah Farrell, Karen Farrell

Jeremiah Farrell

No abstract provided.


The White Rabbit 12-Puzzle, Chris Morgan, Jeremiah Farrell Jun 2019

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

Jeremiah Farrell

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.


Kate Jones – A Tribute, Karen Farrell, Jeremiah Farrell Jun 2019

Kate Jones – A Tribute, Karen Farrell, Jeremiah Farrell

Jeremiah Farrell

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.


Martin Gardner Puzzle-Games, Stephen Bloom, Lacey Echols, Jeremiah Farrell, Shannon Lieb Jun 2019

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

Jeremiah Farrell

No abstract provided.


Paul Swinford – A Tribute, Jeremiah Farrell Jun 2019

Paul Swinford – A Tribute, Jeremiah Farrell

Jeremiah Farrell

No abstract provided.


The Jin And Jang Of Quantum Physics Truth Tables, Shannon Lieb, Jeremiah Farrell Jun 2019

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

Jeremiah Farrell

No abstract provided.


The Tea Party, Stephen Bloom, Jeremiah Farrell Jun 2019

The Tea Party, Stephen Bloom, Jeremiah Farrell

Jeremiah Farrell

No abstract provided.


A Gathering For Gardner Puzzle-Game, Jeremiah Farrell, Chris Morgan Jun 2019

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

Jeremiah Farrell

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 Jun 2019

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

Jeremiah Farrell

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.


Paul Swinford – A Tribute, Jeremiah Farrell Jun 2019

Paul Swinford – A Tribute, Jeremiah Farrell

Jeremiah Farrell

No abstract provided.


Kate Jones – A Tribute, Karen Farrell, Jeremiah Farrell Jun 2019

Kate Jones – A Tribute, Karen Farrell, Jeremiah Farrell

Jeremiah Farrell

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 Jun 2019

A New 12-Puzzle, Todd Estroff, Jeremiah Farrell

Jeremiah Farrell

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.


A Special Tribute To Martin Gardner, Jeremiah Farrell Jun 2019

A Special Tribute To Martin Gardner, Jeremiah Farrell

Jeremiah Farrell

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.


Integrating Mathematics And Educational Robotics: Simple Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal, Sara T. Greenberg Apr 2019

Integrating Mathematics And Educational Robotics: Simple Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal, Sara T. Greenberg

George K. Thiruvathukal

This paper shows how students can be guided to integrate elementary mathematical analyses with motion planning for typical educational robots. Rather than using calculus as in comprehensive works on motion planning, we show students can achieve interesting results using just simple linear regression tools and trigonometric analyses. Experiments with one robotics platform show that use of these tools can lead to passable navigation through dead reckoning even if students have limited experience with use of sensors, programming, and mathematics.