HOME Our Zones Game Downloads Not To Be Missed Games Puzzles Site Of The Week Information

Daily Puzzles Updated 7x a week

Daily Brain Teaser Challenge
Daily Trivia Challenge
Daily Puzzle Zone
Daily Random Puzzle
Daily Trivia Quiz #1 #2
Classic Sudoku #1 | #2
Daily Fun Zone Newsletter
Classic Crossword Puzzle
British Version Crossword
Tents Puzzle
Classic Word Search
Cryptic Cross
Slither Link
Domino Puzzle
Word Crunch
Conceptis Daily/Weekly Puzzles




The Not So Famous Utilities Puzzle & Solution

You have three houses or squares drawn on paper and below them three smaller squares representing gas, water, and electric.  Can you draw a line and get each utility into every house (9) total lines, without crossing over any line?

Most common solution or should I say No Solution. 
Diagrams Are Below....

Without the drawing being 3D this puzzle cannot be done. Many people say it can but using the drawing above it cannot. The best result you may get is only eight proper connections. Other variations of the puzzle can be found below.  People who are much brighter than I can explain better so here is what some of them say about the puzzle.

 It is known as the Turan Brickyard Problem.  The formula says this let n = the number of houses and m = the number of utilities.  Then the minimum crossing number is known by the formula
 Cr(n,m) = [n/2] [(n-1)/2] [m/2] [(m-1)/2] where [x] denotes the integer part of x.
 So the minimum crossing number of Cr(3,3) = [1.5] [1] [1.5] [1] = 1 * 1 * 1* 1 = 1.
 So they can NOT be connected without crossing. M. Adair
The only way this can be done without the lines crossing is by allowing one of the lines (it doesn't matter which one) to enter a house then emerge from the house on the other side of the house when it will be able to enter another house without any other line having to be crossed.
       Keep on sending out the quizzes: you give a lot of people a whole heap of pleasure.
       Regards,           Neil Phillips
(This puzzle is a classic one which has no solution in
2D. However, if you place the items on a doughnut
shape in 3D you can solve it. )
Lisa Belfield
Go to this website and scroll down:
 It looks like "Eight Is Enough."
 Bari Graves
Based on the statement that 'drawn on paper' implies that this is a 2D surface then one can NOT connect the 3 utilities to the three houses.  I am searching for a source for this but haven't found one.  It is related to the mathematical "Four Color Map Theorem" but I can't find the exact source.

Were you to change the wording and state that the surface was not 2D but say a 3D Sphere then the answer is yes.


They answer is, you have to see things in a three dimensional kind of way, you
have to roll the piece of paper, which will enable you to re-route all three
gas, electric and water to each house, without having any of the lines touch
or cross each other


We did the "three houses, three utilities" question last year in
Math's class, and it has been proved to be impossible on a 2-D
representation due to the fact that there is an odd number of lines,
etc... If I had my math's book here I could explain it, but trust me -
it is impossible unless you made the representation 3-D, which is not
the question! Hopefully someone who has their math's book or similar
can explain the theory behind the question! ;-)
Hope I helped,

Other variations

Align 3 triangles over 3 circles.
Connect each of the triangle to each of the circles.
Do not cross any lines.
Do not fold the paper.
Stay on one side of the paper.
Do not intersect any of the circles.
Do not rearrange the shapes.
You have 3 squares and 3 circles and you have to drawn a line from each circle to each square without overlapping them and you cant put the squares in the circles or the circles in the squares please help me thank you 
Today's Brain Teaser Today's Trivia
1. What is the largest amount of money you can have in coins and still not be able to make change for a dollar?

2. A woman lives in a skyscraper thirty-six floors high and served by several elevators which stop at each floor going up and down. Each morning she leaves her apartment and goes to one of the elevators. Whichever one she takes is three times more likely to be going up than down. Why?

3. Two men were being tried for murder. The jury found one man guilty and the other innocent. The judge turned to the guilty man and said, “Even though your guilt has been established, the law compels me to set you free.” How could such a bizarre judgment occur?
Who was the last emperor of China?

1. Chiang Kai Chek
2. Mao Zedong
3. Pu Yi
4. Pu Dee
I Find It Interesting Featured Game
Pacman - The Greatest Classic Games Of All Time
In this day and age, computer games are becoming more and more complex, requiring more and more powerful computers to play them on. With the increasing emphasis on graphics, games are starting to lose their sense of innovation, with many games simply reusing tried and tested formulas in order to sell as many copies as possible. Previously, however, before computers became so ubiquitous, games developers faced the challenge of computers that had very limited computing power.....
Read On | All Our Fun Articles
In Arctic Quest 2, the son of the Snow King sets out to turn Earth into an icy prison for all living creatures. To foil his evil plans, you must solve 100 inlay puzzles. New powers are available to help you win, including water elements that can fill in the empty pieces of a puzzle and fire elements that can wipe out all of your hard work! Easy to learn, fun to play, and featuring amazing new visuals and audio effects, Arctic Quest 2 will please fans and newcomers alike! Free Download
Take A Look Weekly Puzzles & Archives

WEEKLY PUZZLES: Pyramid Word Puzzle, Word Scramble, Word Jumble, Quiz Wordsearch, Supreme Hangman, Secret WordJumbo Sudoku1 Minute Search and Sudoku, Fill In The Blanks, 5:00 Minute Word Search, Classic Fill In Puzzle, Bits N Pieces, Pick and ChooseNumbers Search, Math Crossword, Roman Crossword, Roman Number Search 
60 Visual Brain Teasers | 356 Themed Crossword Puzzles | 223 ScrabbleCross Puzzles | 275 Themed Word Search Puzzles | 101 Word Jumble Sudoku Puzzles | 50 Word Square Puzzles | 142 Quick Word Jumble Puzzles | 97 Anagram Crosswords | 33 Word Jumble Quotes

Play Our Free Exclusive Daily Puzzles - View All Puzzles
Play Our Free Classic Retro Games - View All Games


Our FREE Ezines
View All

A Fun Zone Daily
Daily Brain Teaser
Daily Trivia Ezine
Puzzle Ezine
Daily Free Game
I Find It Interesting

Add Your Button Here

Bookmark and Share

Amazon And Your Done
CandySlingo KindleBooksDVD
SoftwareGift Cards
Gold BoxInstant Video


All Games and Puzzles on A Fun Zone are copyrighted or trademarked by their respective owners or authors.
Copyright 2014 A Fun Zone. All Rights Reserve