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Previous Puzzles of the Month + Solutions
December 2005 - January 2006

 Puzzle #104 Quiz/test #14 W-kammer #14
Enjoy solving Archimedes' Lab™ Puzzles!

 Puzzle #104

Cut the red monad* into two pieces of the same area without the aid of compasses. How many different solutions are you able to find?

* A monad is composed with semi-arc circles.

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 Steps 1 to 3 show how to cut the monad into 2 pieces of the same area (consider the blue line). Step 4 demonstrates visually why the pieces are of the same area: B = C = r2/8 A + D = r2/4 A = (r/2)2/2 = r2/8 D = r2/4 - r2/8 = r2/8 Then A + B = C + D

Previous puzzles of the month...
 August 98: the irritating 9-piece puzzle September 98: the impossible squarings October 98: the multi-purpose hexagon November 98: Pythagora's theorem December 98: the cunning areas January 99: less is more (square roots) February 99: another square root problem... March 99: permutation problem... April 99: minimal dissections July 99: jigsaw puzzle August 99: logic? Schmlogic... September 99: hexagon to disc... Oct-Nov 99: curved shapes to square... Dec-Jan 00: rhombus puzzle... February 00: Cheeta tessellating puzzle... March 00: triangular differences... Apr-May 00: 3 smart discs in 1... July 00: Funny tetrahedrons... August 00: Drawned by numbers... September 00: Leonardo's puzzle... Oct-Nov 00: Syntemachion puzzle... Dec-Jan 01: how many squares... February 01: some path problems... March 01: 4D diagonal... April 01: visual proof... May 01: question of reflection... June 01: slice the square cake... July 01: every dog has 3 tails... Aug 01: closed or open... Sept 01: a cup of T... Oct 01: crank calculator... Nov 01: binary art... Dec 01-Jan 02: egyptian architecture... Feb 02: true or false... March 02: enigmatic solids... Apr 02: just numbers... May 02: labyrinthine ways... June 02: rectangle to cross... July-Aug 02: shaved or not... Sept 02: Kangaroo cutting... Oct 02: Improbable solid... Dec-Jan 03: Hands-on geometry Feb-Mar 03: Elementary my dear... Apr-May 03: Granitic thoughts June-July 03: Bagels... September 03: Larger perimeter... Oct-Nov 2003: square vs rectangle Dec-Jan 04: curvilinear shape... February 04: a special box March 04: magic 4 T's... April O4: inscribed rectangle May 04: Pacioli puzzle... June 04: pizza's pitfalls October 04: Odd triangles February 05: Same pieces May-June 05: stairs to square July-August 05: cheese! Sept-Oct 05: magic star
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 Quiz/Test #14
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 Quick Roman Numeral Questions Add a letter to XIX to obtain 49 Add a letter to XIX to obtain 99 Which is the most recent year with the longest Roman number? complete complete complete

 Wunderkammer #14
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"A #2 pencil and a dream can take you anywhere."
- Joyce A. Myers

The pencil is the essential instrument of every true puzzle enthusiast. Its top is usually nibbled and we tap it on our head or we scratch ourselves with it. And sometimes, we even scribble a few meaningful thoughts with the sharpened leaded end. The American artist George W. Hart, also called the Polyhedron Man, made the puzzling pencil sculptures opposite using 72 pencils! If you want to try competing with his mastery you may find it useful to have a few tranquilizers close at hand.

 External links George Hart website Rinus Roelofs sculptures Pencil carvings Related Book Islamic Art and Geometric Design: Activities for Learning Metropolitan Museum of Art Series This resource offers an introduction to the principles of Islamic art and the geometric designs upon which it is based.
Suggest an ORIGINAL Wunderkammer fact

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 ••• Smile! According to Red Skelton, the longest word is the word that follows the announcement, "And now a word from our sponsor"! ••• Math Gems If the denominator of a rational number is not divisible by 3, then the repeating part of its decimal expansion is an integer divisible by 9. Example: 1/7 = 0.142857... has a repeating part 142857 divisible by 9. •••
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