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Articles 1 - 14 of 14
Full-Text Articles in Physical Sciences and Mathematics
Euler Entertainments, Jeremiah Farrell, Karen Farrell
Euler Entertainments, Jeremiah Farrell, Karen Farrell
Jeremiah Farrell
No abstract provided.
The White Rabbit 12-Puzzle, Chris Morgan, Jeremiah Farrell
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
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
Martin Gardner Puzzle-Games, Stephen Bloom, Lacey Echols, Jeremiah Farrell, Shannon Lieb
Jeremiah Farrell
No abstract provided.
Paul Swinford – A Tribute, Jeremiah Farrell
The Jin And Jang Of Quantum Physics Truth Tables, Shannon Lieb, Jeremiah Farrell
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
A Gathering For Gardner Puzzle-Game, Jeremiah Farrell, Chris Morgan
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
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
Kate Jones – A Tribute, Karen Farrell, Jeremiah Farrell
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
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
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
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.