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Updated: 2018-04-20T09:28:25.080-07:00
2013-05-04T18:44:53.751-07:00
NPR Sunday Puzzle (Apr 14, 2013): 90° Letter Rotation:(image) Q: Take a common English word. Write it in capital letters. Move the first letter to the end and rotate it 90 degrees. You'll get a new word that is pronounced exactly the same as the first word. What words are these?I think it is a foregone conclusion that Will intends us to get creative with how we write our letters.
A: WON, ONE or WRY, RYE
2012-10-11T11:59:30.415-07:00
(image) NPR Sunday Puzzle (Oct 7, 2012): Hexagon Diagonals - Count the Triangles:Q: Draw a regular hexagon, and connect every pair of vertices except one. The pair you don't connect are not on opposite sides of the hexagon, but along a shorter diagonal. How many triangles of any size are in this figure?The diagram in the upper right should help. I've removed one diagonal. It looks like a cool cube, don't you think?
A: 82 Triangles - be sure to watch the video for an explanation of the answer.
2018-01-23T01:54:55.521-08:00
GeekDad Puzzle of the Week: Waffle Cuts: (image)Q: If we only cut along the ridges of a circular waffle, and if each cut traverses the waffle in a straight line from edge to edge, how many different ways can the waffle be cut?Given that there are 6 places to cut vertically and 6 places to cut horizontally, that's a total of 12 cut lines. If you allow for any combination of these 12 lines to be cut or not, you have a total of 2^12 = 4096 ways to divide the waffle. But of course, the puzzle asks for the number of unique ways to cut the waffle, not including any mirrored or rotationally symmetric sets of cuts.
Note: rotations, horizontal flips, and vertical flips of a set of cuts should only be counted once.
2018-01-23T01:46:11.822-08:00
NPR Sunday Puzzle (Nov 6, 2011): Count the Equilateral Triangles:Q: Take 15 coins. Arrange them in an equilateral triangle with one coin at the top, two coins touching below, three coins below that, then four, then five. Remove the three coins at the corners so you're left with 12 coins. Using the centers of the 12 coins as points, how many equilateral triangles can you find by joining points with lines?Minnesota is the land of 10,000 lakes, but I know the answer is much smaller than that.
A: 25 equilateral triangles total (see the video for details).
(image)13 small triangles pointing up or down 4 medium triangles pointing up or down 6 medium triangles pointing left or right 2 large triangles at a slight angle
2018-01-23T01:43:34.331-08:00
NPR Sunday Puzzle (Dec 5, 2010): Triangles Abound:Q: From Sam Loyd, a puzzle-maker from a century ago: Draw a 4x4 square. Divide it into 16 individual boxes. Next, draw a diagonal line from the middle of each side of the square to the middle of the adjoining side, forming a diamond. And, finally draw a long diagonal line from each corner of the square to the opposite corner, forming an X.Getting the answer is really easy; the key is to think of geometry. Let's see, if you start with a square and cut it along the diagonal, you get a triangle. Similarly, if you take a circle and cut a chord through the center, you get a semicircle. Take the measure in radians extended by the measure in degrees and you should have the answer, assuming you haven't made an error. Well, at least that is how I got my answer.
How many triangles can you find in this figure?
A: 96 triangles as enumurated in the following Count the Triangles Solution (PDF)
2018-01-22T23:42:51.910-08:00
Here's a quick puzzle. In the attached image, a circle is inscribed in a square which is inscribed in another circle.2018-01-22T23:09:12.056-08:00
Here's a fun puzzle to ponder.A certain number of faces of a large wooden cube are stained. Then the block is divided into equal-sized smaller cubes. Counting we find that there are exactly 45 smaller cubes that are unstained. How many faces of the big cube were originally stained?Feel free to add a comment with your answer, along with how you solved it.
2018-01-23T00:29:19.286-08:00
I discovered a fascinating site a few years back and completely forgot about it. You've probably seen a 3-D calendar with each month on one of the faces of a dodecahedron. But have you ever wanted to print and construct your own? Ole Arntzen of Norway created a webpage that lets you pick a year, a language and a few other options and then it creates a printable template for a 12-sided calendar.