logo
g Text Version
Beauty & Self
Books & Music
Career
Computers
Education
Family
Food & Wine
Health & Fitness
Hobbies & Crafts
Home & Garden
Money
News & Politics
Relationships
Religion & Spirituality
Sports
Travel & Culture
TV & Movies

dailyclick
Bored? Games!
Nutrition
Postcards
Take a Quiz
Rate My Photo

new
European Travel
Action Movies
Bible Basics
Houseplants
Romance Movies
Creativity
Family Travel


dailyclick
All times in EST

Clairvoyance: 08:00 PM

Full Schedule
g
g Math Site

BellaOnline's Math Editor

g

Brain Teaser - Franklin's Puzzle


Magic Square

"A Franklin was in this company; White was his beard as is the daisy." We are told by Chaucer that he was a great householder and an epicure. "Without baked meat never was his house. Of fish and flesh, and that so plenteous, It snowed in his house of meat and drink, Of every dainty that men could bethink." He was a hospitable and generous man. "His table dormant in his hall alway Stood ready covered all throughout the day." At the repasts of the Pilgrims he usually presided at one of the tables, as we found him doing on the occasion when the cook propounded his problem of the two pies.
One day, at an inn just outside Canterbury, the company called on him to produce the puzzle required of him; whereupon he placed on the table sixteen bottles numbered 1, 2, 3, up to 15, with the last one marked 0. "Now, my masters," quoth he, "it will be fresh in your memories how that the good Clerk of Oxenford did show us a riddle touching what hath been called the magic square. Of a truth will I set before ye another that may seem to be somewhat of a like kind, albeit there be little in common betwixt them. Here be set out sixteen bottles in form of a square, and I pray you so place them afresh that they shall form a magic square, adding up to thirty in all the ten straight ways. But mark well that ye may not remove more than ten of the bottles from their present places, for therein layeth the subtlety of the riddle." This is a little puzzle that may be conveniently tried with sixteen numbered counters.




Solution

The answer to this puzzle is shown in the illustration, where the numbers on the sixteen bottles all add up to 30 in the ten straight directions. The trick consists in the fact that, although the six bottles (3, 5, 6, 9, 10, and 15) in which the flowers have been placed are not removed, yet the sixteen need not occupy exactly the same position on the table as before. The square is, in fact, formed one step further to the left.

magic square solution

Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Twitter Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Facebook Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to MySpace Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Del.icio.us Digg Brain+Teaser+%2D+Franklin%27s+Puzzle+ Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Yahoo My Web Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Google Bookmarks Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Stumbleupon Add Brain+Teaser+%2D+Franklin%27s+Puzzle+ to Reddit




Brain Teaser - Eleven Pennies
Brain Teaser - Chalked Numbers
Brain Teaser - The Three Tea Cups
RSS
Related Articles
Editor's Picks Articles
Top Ten Articles
Previous Features
Site Map


For FREE email updates, subscribe to the Math Newsletter


Past Issues


print
Printer Friendly
bookmark
Bookmark
tell friend
Tell a Friend
forum
Forum
email
Email Editor


Content copyright © 2014 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.

g


g features
Travel Games

Math MOOC - Free Online Math Courses - Self-Paced

Interactive App for Student Engagement

Archives | Site Map

forum
Forum
email
Contact

Past Issues
memberscenter


vote
Poetry
Daily
Weekly
Monthly
Less than Monthly



BellaOnline on Facebook
g


| About BellaOnline | Privacy Policy | Advertising | Become an Editor |
Website copyright © 2014 Minerva WebWorks LLC. All rights reserved.


BellaOnline Editor