Puzzles by Archimedes Lab

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B.

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Š www.giannisarcone.com

A.

D U C T IO N

Easy Medium Hard

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Watering can problem Marc’s sister is a garden hobbyist. One day, she went to a garden center to buy a watering can. The sales-clerk suggests 3 possible variants having however the same base surface: watering can A, which costs 3.00 dollars; B, which costs 3.50 dollars; and C, that costs 2.00 dollars. What is in your opinion the most convenient if your choice is imposed by the capacity?

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Keyword: capacity = the maximum amount that something can contain.

Logic


A.

B.

D U C T IO N

Easy Medium Hard

C.

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Š www.giannisarcone.com

FO

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Impossible chain? A chain of 15 linked snap-hooks can be separated into five smaller parts by opening just four single snaphooks (fig. B). Is it possible to link together the five chain portions (fig. C) to form the initial chain again (fig. A) by opening only three single snap-hooks?

Logic


D U C T IO N

Before and after reflection!

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www.giannisarcone.com

Blacken one white dot within the board so that from this dot exactly four perfect squares can be drawn by joining together their vertices. You can obviously join together only black dots as shown in the example below.

extra blackened dot


Before and after reflection

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D U C T IO N

Divide the square board into squares and rectangles according to this rule: Using the checkered pattern as a guide, draw in lines so that each star is in its own square, and the circle in its own rectangle.


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Find another giraffe!

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Find Buddha’s illuminated face in the leaves!


D U C T IO N C)

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Š www.giannisarcone.com

Example 2

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Example 1

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Which of the 3 Quipus above (Incan devices for recording information) is/are identical to the one in the frame? Quipus are considered identical when they can be matched perfectly only by rotating pieces around the knots – they cannot be lifted or turned over. See the examples for further clarification.

Solution: B


D U C T IO N C)

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B)

Š www.giannisarcone.com

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N

Example 2

Solution: C

Example 1

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Which of the 3 Quipus above (Incan devices for recording information) is/are identical to the one in the frame? Quipus are considered identical when they can be matched perfectly only by rotating pieces around the knots – they cannot be lifted or turned over. See the examples for further clarification.


D U C T IO N R EP R R FO

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Solution: Rings of string A and C.

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Topology puzzles involving strings and knots may enhance your spatial reasoning and your sense of observation. Which piece of string – A, B or C – would knot up if you pulled B. on it? In the boxed example above, the string on the left would come loose if you pulled on it; the string on the right would knot up instead.

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A.


D U C T IO N R EP R R FO

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Solution: Diagrams B and C.

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Topology puzzles involving strings and knots may enhance your spatial reasoning and your sense of observation. Which 2 pieces of string – A, B or C – B. are linked together? In the boxed example above, the figure on the left is unlinked; the figure on the right is linked.

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A.


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Draw lines to join like symbols together (triangle to triangle, etc.), without any line crossing another line.

Difficulty levels: from easy to hard


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Š www.giannisarcone.com

A black line cannot be crossed; a stripe line must be crossed once.

O

Draw lines to join like symbols together (triangle to triangle, etc.), without any line crossing another line.

Difficulty levels: from easy to hard

no crossing allowed

can be crossed by just ONE line


Balance puzzles inspired by the hanging mobile sculptures of American artist A. Calder

7 + 2 + 4 = 13 Fulcrum

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D U C T IO N

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2x7=1x2+3x4

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Example

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Place whole-number weights (1, 2, 3, etc... up to 13) into the hanging masses of the mobile so that everything balances. The ‘force’ of each mass is its weight times its distance from the fulcrum (= pivot point). The example below balances since the force of the left arm equals the force of the right arm: 2 x 7 = 1 x 2 + 3 x 4. Note also that the total weight of any balanced rod equals the sum of all the hanging masses distributed underneath it, in the example: 7 + 2 + 4 = 13.

© www.giannisarcone.com

Weights to be allocated 1

2

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7

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10 11

12 13


D U C T IO N

Balance puzzles inspired by the hanging mobile sculptures of American artist A. Calder

7 + 2 + 4 = 13 Fulcrum

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7

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2x7=1x2+3x4

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Example

9

FO

Place whole-number weights (1, 2, 3, etc... up to 13) into the hanging masses of the mobile so that everything balances. The ‘force’ of each mass is its weight times its distance from the fulcrum (= pivot point). The example below balances since the force of the left arm equals the force of the right arm: 2 x 7 = 1 x 2 + 3 x 4. Note also that the total weight of any balanced rod equals the sum of all the hanging masses distributed underneath it, in the example: 7 + 2 + 4 = 13.

© www.giannisarcone.com

Weights to be allocated 1

2

3

4

5

6

7

8

9

10 11

12 13


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– Visual Pattern Matching –

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– Visual Pattern Matching –

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Find two discs containing exactly the same sequence of colors. Time allowed: 30 seconds


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Find two discs containing exactly the same sequence of colors. Time allowed: 30 seconds


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