Math Magic is a web site devoted to
original mathematical recreations. If you
have a math puzzle, discovery, or observation,
please e-mail me about it. You can also send
answers to the problem of the month.
Math Magic Archive

Problem of the Month
(June 2016)

This month we consider the Math Magic problem of March 2013, but for equilateral triangles instead of circles. Consider an infinite grid of unit squares. We want to place k equilateral triangles on this grid so that: 1) no two triangles cover part of the same grid square and 2) the set of squares that are at least partially covered by a triangle form an m×n rectangle. For a given m and n, what is the minimum k that will work? Below are some examples.


You can see all the best known results here.

Submit your answers here.

Weekly Puzzle Sites: | Ken Duisenberg | NPR | Puzzability | The Griddle | Puzzle Picnic | Nick's |
Other Puzzle Sites: | MathPuzzle.com | IBM | Retrograde Analysis | Puzzle Palace | Terry Stickels |
Interactive Puzzle Sites: | Click Mazes | Puzzle Beast | Logic Mazes | Color Shift | Grid 1 | 2 | Boomshine |
Physics-Based Puzzle Sites: | Perfect Balance 1 | 2 | Assembler 1 | 2 | 3 | 4 |
| Color Infection | Redstar Fall 1 | 2 | Fantastic Contraption |
Colleges with Puzzles: | Macalester | Missouri State | Purdue |
Great Math Sites: | Geometry Junkyard | Math World | Mathematician Biographies |
| Integer Sequences | Inverse Calculator | Geometric Dissections |
Recreational Math Sites: | Mike Keith | Harvey Heinz | Primes | GIMPS |
| Polyforms | World of Numbers | Soup Kitchen |


Home | Math Magic | Packing Center | Puzzle Palace | Published Puzzles | Puzzle Collection
Friedman Numbers | What's Special About This Number? | Periodic Table of Mathematicians
Stetson University | Math Department | Teaching | Vita | Undergraduate Research | Ambigrams
Florida Mini-Golf | Movies | Places I've Been | Places I've Been E-mailed From | E-mail Me
Pictures of Me | My Math Geneology | Top Ten Lists | Mathematical Horoscope | Math Humor