Archimedes Lab Mental and Visual PuzzlesArchimedes' Lab: Mental Activities that Enhance Critical and Creative Thinking Skills
http://www.archimedes-lab.org/
A smart non-academic math web site for inquisitive minds offering a huge variety of mind and visual puzzles and activities that enhance critical, logical, and creative thinking skills, which keep your brain active!puzzles, brainteasers, recreational mathematics, mental activities, gamesEducation TrainingenCopyright 2013contact@giannisarcone.com (GIanni A. Sarcone)contact@giannisarcone.comhttp://www.archimedes-lab.org/http://www.archimedes-lab.org/im_navpics2/archim_cartoonver.gifArchimedes Lab Mental and Visual Puzzleshttp://www.archimedes-lab.org/
Sun, 14 Sep 2014 17:16:32 GMTSun, 14 Sep 2014 17:16:32 GMTRSS DreamFeeder v 2.5.2Cube in a CubeA polyhedron compound of two cubes is obtained by allowing two cubes to share opposite polyhedron vertices, and then rotating one a sixth of a turn about the axis that joins the two opposite vertices (see fig. 1 below).
A polyhedron compound of two cubes is obtained by allowing two cubes to share opposite polyhedron vertices, and then rotating one a sixth of a turn about the axis that joins the two opposite vertices (see fig. 1 below).
Maths7_Compound_cubes.html
Sun, 14 Sep 2014 17:15:18 GMTG. Sarconedata:text/plain,manual:1410714993030:46854475825846376:http://www.archimedes-lab.org/index_FEED.xmlSunday Puzzle #65Some clever people say that there is no real solution to this equation. Is it correct? If not, please, explain...Some clever people say that there is no real solution to this equation. Is it correct? If not, please, explain...
2-Sunday_puzzle.html
Sun, 24 Aug 2014 18:27:04 GMTGianni Sarconedata:text/plain,manual:1408904939815:4944786941226776:http://www.archimedes-lab.org/index_FEED.xmlBoat ParadoxA rowboat is floating in a harbor, and a stubborn donkey pulls by mean of a long rope through a pulley the boat toward the shore. When the donkey has moved 1 meter, how far has the boat moved: a) exactly 1 meter, b) more than 1 meter, c) less than 1 meter?
A rowboat is floating in a harbor, and a stubborn donkey pulls by mean of a long rope through a pulley the boat toward the shore. When the donkey has moved 1 meter, how far has the boat moved:
a) exactly 1 meter,
b) more than 1 meter,
c) less than 1 meter?
Maths6_Boat_dilemma.html
Sat, 23 Aug 2014 20:29:17 GMTGianni Sarconedata:text/plain,manual:1408825813269:9767645976289654:http://www.archimedes-lab.org/index_FEED.xmlAutoreplicating ResistorsResistors That Self-Replicate Themselves!Resistors That Self-Replicate Themselves!
Maths5_Replicate_resistors.html
Thu, 21 Aug 2014 18:16:18 GMTG. Sarconedata:text/plain,manual:1408645051583:6630950553231891:http://www.archimedes-lab.org/index_FEED.xmlPuzzle #63Cut this 6-sided table top into two pieces and rearrange them within the pink rectangular space to compose a 6-sided table again without overlapping.Cut this 6-sided table top into two pieces and rearrange them within the pink rectangular space to compose a 6-sided table again without overlapping.
2-Sunday_puzzle.html
Wed, 13 Aug 2014 18:51:12 GMTG. Sarconedata:text/plain,manual:1407955988243:5503625076315554:http://www.archimedes-lab.org/index_FEED.xml9 dot puzzle9 Dot puzzle is a very well known problem used by many psychologists, philosophers and authors to explain the mechanism of ‘unblocking’ the mind in problem solving activities. It is probable that this brainteaser gave origin to the expression ‘thinking outside the box’.9 Dot puzzle is a very well known problem used by many psychologists, philosophers and authors to explain the mechanism of ‘unblocking’ the mind in problem solving activities. It is probable that this brainteaser gave origin to the expression ‘thinking outside the box’.
How_to_Solve/9_dots.html
Wed, 13 Aug 2014 18:12:03 GMTG. Sarconedata:text/plain,manual:1407953616258:6174382146636551:http://www.archimedes-lab.org/index_FEED.xmlShoelace PuzzleHow to ‘magically’ untie a shoelace double knot... Topology is a fascinating branch of mathematics that describes the properties of an object that remain unchanged under continuous “smooth” deformations. Actually, many 3D puzzles are based on topological principles and understanding some very basic principles may help you analyze whether a puzzle is possible or not.How to ‘magically’ untie a shoelace double knot... Topology is a fascinating branch of mathematics that describes the properties of an object that remain unchanged under continuous “smooth” deformations. Actually, many 3D puzzles are based on topological principles and understanding some very basic principles may help you analyze whether a puzzle is possible or not.
Maths4_Double_knot.html
Tue, 05 Aug 2014 18:54:53 GMTGianni A. Sarconedata:text/plain,manual:1407264971600:24622596709002544:http://www.archimedes-lab.org/index_FEED.xmlInfinite PowersSame procedure, different result accuracy levels... Can you guess what went wrong in the operation of fig. 2?Same procedure, different result accuracy levels... Can you guess what went wrong in the operation of fig. 2?
Maths3_Sum_powers.html
Mon, 28 Jul 2014 17:50:15 GMTGianni A. Sarconedata:text/plain,manual:1406569892681:6944336447003603:http://www.archimedes-lab.org/index_FEED.xmlSUNDAY PUZZLE #62Using a knife, divide this diamond-shaped cake into 7 equal pieces. Give at least two possible solutions. The sides of the cake are each 52.5 cm long.Using a knife, divide this diamond-shaped cake into 7 equal pieces. Give at least two possible solutions. The sides of the cake are each 52.5 cm long.
2-Sunday_puzzle.html
Sun, 27 Jul 2014 19:41:49 GMTGianni A. Sarconedata:text/plain,manual:1406490164109:5730130348655651:http://www.archimedes-lab.org/index_FEED.xmlJapanese MultiplicationHere is an interesting method to visualize multiplication that reduces it to simple counting!Here is an interesting method to visualize multiplication that reduces it to simple counting!
Maths2_Multiplication.html
Mon, 21 Jul 2014 18:59:27 GMTG. Sarconedata:text/plain,manual:1405969293819:6400713031630707:http://www.archimedes-lab.org/index_FEED.xmlSUNDAY PUZZLE #61
Mathematically prove that √3 is the largest term possible of the following series.Mathematically prove that √3 is the largest term possible of the following series.
2-Sunday_puzzle.html
Mon, 14 Jul 2014 20:44:44 GMTG. Sarconedata:text/plain,manual:1405370773158:235152:http://www.archimedes-lab.org/index_FEED.xmlE-GuessingAstral Mind Reading Trick for young magicians!Astral Mind Reading Trick for young magicians!
tricktoperform_eguessing2.html
Sun, 13 Apr 2014 17:51:06 GMTGianni A. Sarconedata:text/plain,manual:1397411577513:8062896267178141:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle to solve #56Visually prove that if 3 equal circles mutually intersect one another in an arbitrary point P, then the circle passing through their other three pairwise points of intersection (A, B, and C respectively) is congruent to the original 3 circles.Visually prove that if 3 equal circles mutually intersect one another in an arbitrary point P, then the circle passing through their other three pairwise points of intersection (A, B, and C respectively) is congruent to the original 3 circles.
2-Sunday_puzzle.html
Mon, 07 Apr 2014 18:45:46 GMTG. Sarconedata:text/plain,manual:1396896445959:38:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #52Mary has exactly 20 seconds to write down 5 different 6-digit numbers, each of which must be divisible by 7, 11, and 13 respectively. Is this challenge possible? Can you help Mary?Mary has exactly 20 seconds to write down 5 different 6-digit numbers, each of which must be divisible by 7, 11, and 13 respectively. Is this challenge possible? Can you help Mary?
2-Sunday_puzzle.html
Tue, 11 Mar 2014 17:33:45 GMTG. Sarconedata:text/plain,manual:1394559270604:7708158832006009:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #50Arnold put 50 dollars in the bank. During the month he withdraws as shown opposite. He was eventually surprised to see that the balance column adds to $51.00 instead of $50.00. It isn’t interest, so where did the extra dollar come from?Arnold put 50 dollars in the bank. During the month he withdraws as shown opposite. He was eventually surprised to see that the balance column adds to $51.00 instead of $50.00. It isn’t interest, so where did the extra dollar come from?
2-Sunday_puzzle.html
Mon, 24 Feb 2014 10:18:15 GMTGianni Sarconedata:text/plain,manual:1393237168688:3200750890420246:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #49ABC is a general triangle. Point Q is an arbitrary point on BC. Draw a straight line through Q so that to divide the leaf into two equal gold quantities.ABC is a general triangle. Point Q is an arbitrary point on BC. Draw a straight line through Q so that to divide the leaf into two equal gold quantities.
2-Sunday_puzzle.html
Sun, 16 Feb 2014 20:10:43 GMTGianni A. Sarconedata:text/plain,manual:1392581484323:9580868305894840:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #48If a line is drawn from the top of each cactus to the bottom of the other, as shown in the diagram, they intersect at a point 50 cm above the ground. What is the distance between the cactuses?If a line is drawn from the top of each cactus to the bottom of the other, as shown in the diagram, they intersect at a point 50 cm above the ground. What is the distance between the cactuses?
2-Sunday_puzzle.html
Mon, 10 Feb 2014 12:00:29 GMTGianni Sarconedata:text/plain,manual:1392033670133:9199632517424858:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #47Probabilistically speaking, what is the expected number of children a couple should have in order to get both a boy AND a girl?Probabilistically speaking, what is the expected number of children a couple should have in order to get both a boy AND a girl?
2-Sunday_puzzle.html
Thu, 06 Feb 2014 17:36:34 GMTGianni A. Sarconedata:text/plain,manual:1391708254355:100:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #46Triangle ABC is isosceles (AB = AC) with an arbitrary point P on BC. Prove that the circumcircles of triangles ABP and APC are congruent.Triangle ABC is isosceles (AB = AC) with an arbitrary point P on BC. Prove that the circumcircles of triangles ABP and APC are congruent.
2-Sunday_puzzle.html
Tue, 28 Jan 2014 10:42:49 GMTGianni A. Sarconedata:text/plain,manual:1390905832074:5370107132173687:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve (#45)Using just basic geometry prove that: axa’=bxb’+cxc’Using just basic geometry prove that: axa’=bxb’+cxc’Wed, 22 Jan 2014 19:06:50 GMTG. Sarconedata:text/plain,manual:1390417656708:614481060000591:http://www.archimedes-lab.org/index_FEED.xmlSUNDAY PUZZLE #44Is it possible to bisect any angle ? using just 5 (or even less) extra matchsticks?Is it possible to bisect any angle ? using just 5 (or even less) extra matchsticks?
2-Sunday_puzzle.html
Sun, 12 Jan 2014 13:12:39 GMTGianni Sarconedata:text/plain,manual:1389532410201:7711049527562307:http://www.archimedes-lab.org/index_FEED.xmlPUZZLE #43 + solution to previous puzzleGiven: AB = CD = EF = r; P midpoint of AF; Q midpoint of BC; and R midpoint of DE. Prove that triangle PQR is equilateral!Given: AB = CD = EF = r; P midpoint of AF; Q midpoint of BC; and R midpoint of DE. Prove that triangle PQR is equilateral!
2-Sunday_puzzle.html
Wed, 08 Jan 2014 20:34:22 GMTG. Sarconedata:text/plain,manual:1389213354023:4815344611172521:http://www.archimedes-lab.org/index_FEED.xmlSUNDAY PUZZLE #42 + Solution to previous puzzleCut this tasty cake up with exactly 4 straight cuts so that each portion of cake contains just one strawberry on the top.Cut this tasty cake up with exactly 4 straight cuts so that each portion of cake contains just one strawberry on the top.
2-Sunday_puzzle.html
Sun, 29 Dec 2013 18:36:34 GMTGianni A. Sarconedata:text/plain,manual:1388342290333:5853586410965199:http://www.archimedes-lab.org/index_FEED.xmlAdded new Number Fact!All what you need to know about number 648...All what you need to know about number 648...
numbers/Num201_500.html
Tue, 24 Dec 2013 10:50:58 GMTG. Sarconedata:text/plain,manual:1387882386360:2551085316701656:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to previous puzzle #40Solution to previous puzzle #40Solution to previous puzzle #40
2-Sunday_puzzle_40.html
Mon, 23 Dec 2013 12:34:40 GMTGianni A. Sarconedata:text/plain,manual:1387802205446:47339576533909350:http://www.archimedes-lab.org/index_FEED.xmlPosted New Sunday Puzzle #41Visually prove that the area of both cross-shaped ginger breads equals the area of the Xmas tree!Visually prove that the area of both cross-shaped ginger breads equals the area of the Xmas tree!
2-Sunday_puzzle.html
Mon, 23 Dec 2013 12:30:34 GMTGianni A. Sarconedata:text/plain,manual:1387802205453:31420682485569824:http://www.archimedes-lab.org/index_FEED.xmlPosted New Sunday Puzzle #40When two atoms meet they interact as shown in the example. Following this rule, if a train of atoms slides over another train of atoms as shown, what will be the resulting color of each single atom (a up to j, see the picture)?When two atoms meet they interact as shown in the example.
Following this rule, if a train of atoms slides over another train of atoms as shown, what will be the resulting color of each single atom (a up to j, see the picture)?
2-Sunday_puzzle.html
Sun, 15 Dec 2013 19:07:36 GMTG. Sarconedata:text/plain,manual:1387134589478:5417715350132593:http://www.archimedes-lab.org/index_FEED.xmlPosted Solution to Sunday Puzzle 39See the solution to previous puzzleSee the solution to previous puzzle
2-Sunday_puzzle_39.html
Sun, 15 Dec 2013 19:03:50 GMTG. Sarconedata:text/plain,manual:1387134338928:6303443503382378:http://www.archimedes-lab.org/index_FEED.xmlPosted New Puzzle 39A new math challenge! Sunday Puzzle #39A new math challenge! Sunday Puzzle #39
2-Sunday_puzzle.html
Thu, 12 Dec 2013 20:19:50 GMTG. Sarconedata:text/plain,manual:1386879682405:3912987130597425:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to SUNDAY PUZZLE #38See solution to the previous puzzle! (Sunday puzzle 38)See solution to the previous puzzle! (Sunday puzzle 38)
2-Sunday_puzzle_38.html
Thu, 12 Dec 2013 20:17:20 GMTG. Sarconedata:text/plain,manual:1386879514056:23005443207022824:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to SUNDAY PUZZLE #37See solution to the previous puzzle!See solution to the previous puzzle!
2-Sunday_puzzle_37.html
Sun, 01 Dec 2013 19:01:13 GMTGianni A. Sarconedata:text/plain,manual:1385924572968:8058981413628548:http://www.archimedes-lab.org/index_FEED.xmlSolve the SUNDAY PUZZLE #38Prove that, if in any triangle: AQ = AB/3, BR = BC/3, and CS = AC/3. Then, the area of triangles EFG = ABC/7Prove that, if in any triangle: AQ = AB/3, BR = BC/3, and CS = AC/3. Then, the area of triangles EFG = ABC/7
http://archimedes-lab.org/2-Sunday_puzzle.html
Sun, 01 Dec 2013 18:58:15 GMTGianni A. Sarconedata:text/plain,manual:1385924363803:6196224830811654:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to SUNDAY PUZZLE#36See solution to the previous puzzle!See solution to the previous puzzle!
http://www.archimedes-lab.org/2-Sunday_puzzle_36.html
Sun, 24 Nov 2013 17:57:26 GMTGianni A. Sarconedata:text/plain,manual:1385315911694:3355:http://www.archimedes-lab.org/index_FEED.xmlSolve the SUNDAY PUZZLE #37Diophantine Cubic: Solve the equation below in integers! (Find at least 3 distinct roots, post the FULL reasoning along with the solution) x^3 + 1 = y^2Diophantine Cubic: Solve the equation below in integers! (Find at least 3 distinct roots, post the FULL reasoning along with the solution)
x^3 + 1 = y^2
http://www.archimedes-lab.org/2-Sunday_puzzle.html
Sun, 24 Nov 2013 17:54:25 GMTGianni A. Sarconedata:text/plain,manual:1385315806943:9176079172382748:http://www.archimedes-lab.org/index_FEED.xmlSolution to puzzle 35 has been postedUsing a beam balance try to categorize and arrange 5 weights - with no two weighing the same - from heaviest to lightest in seven or less weighing.Using a beam balance try to categorize and arrange 5 weights - with no two weighing the same - from heaviest to lightest in seven or less weighing.
http://www.archimedes-lab.org/2-Sunday_puzzle_35.html
Sun, 17 Nov 2013 13:57:06 GMTGianni A. Sarconedata:text/plain,manual:1384696761148:34764134286844336:http://www.archimedes-lab.org/index_FEED.xmlSolve the new SUNDAY PUZZLEProve that the area of a square inscribed in a semicircle is 2/5 the area of a square inscribed in a circle of same radius.Prove that the area of a square inscribed in a semicircle is 2/5 the area of a square inscribed in a circle of same radius.
http://archimedes-lab.org/2-Sunday_puzzle.html
Sun, 17 Nov 2013 13:51:56 GMTGianni A. Sarconedata:text/plain,manual:1384696559289:4457350249282971:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle Feature: Sunday PuzzleSolve it & win a badge...Solve it & win a badge...
http://archimedes-lab.org/2-Sunday_puzzle.html
Sun, 10 Nov 2013 21:06:22 GMTdata:text/plain,manual:1384117749746:8373016108698577:http://www.archimedes-lab.org/index_FEED.xmlSolution to puzzle 131The solution to the puzzle 'Triangle Partition' has been posted (along with the new puzzle feature: Sunday Puzzle)The solution to the puzzle 'Triangle Partition' has been posted (along with the new puzzle feature: Sunday Puzzle)
http://archimedes-lab.org/monthly_puzzles_131.html
Sun, 10 Nov 2013 20:32:24 GMTdata:text/plain,manual:1384115731745:4666272727082056:http://www.archimedes-lab.org/index_FEED.xmlSolution to puzzle 130The solution to the puzzle 'Rising Sun' has been posted along with the new monthly puzzle!The solution to the puzzle 'Rising Sun' has been posted along with the new monthly puzzle!
http://archimedes-lab.org/monthly_puzzles_130.html
Thu, 25 Apr 2013 06:49:18 GMThttp://archimedes-lab.org/monthly_puzzles_130.htmlDroodlesJust guess what the droodle below is supposed to be...Just guess what the droodle below is supposed to be...
http://archimedes-lab.org/droodle_challenge.html
Thu, 25 Apr 2013 06:49:10 GMThttp://www.archimedes-lab.org/droodle_challenge.htmlAnimal brainteaserReproduce and cut out the 4 cards along the lines, then assemble them to form a square in such a way that the picture of the animals on both sides of the card edges matchReproduce and cut out the 4 cards along the lines, then assemble them to form a square in such a way that the picture of the animals on both sides of the card edges match
http://archimedes-lab.org/workshopdonkeys.html
Tue, 05 Mar 2013 13:49:28 GMThttp://www.archimedes-lab.org/workshopdonkeys.htmlChinese New Year CalculatorAdded a cool Chinese New Year's calculator to our 'Perpetual calendar' webpageAdded a cool Chinese New Year's calculator to our 'Perpetual calendar' webpage
http://archimedes-lab.org/datOmatic.html
Wed, 09 Jan 2013 13:49:18 GMThttp://www.archimedes-lab.org/datOmatic.htmlTangramRead the real history of the game... Face original mind challenges of the Tangram puzzle...Read the real history of the game... Face original mind challenges of the Tangram puzzle...
http://archimedes-lab.org/pagetang1.html
Fri, 30 Oct 2009 03:45:57 GMThttp://www.archimedes-lab.org/tangramagicus/pagetang1.html