Circle Pack 13 Wood Puzzle | Challenging Packing Brain Teaser

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$36.95

Add laser engraving (+$4.00)

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All standard orders normally ship within 1 business day.

Custom orders normally ship within 2 business days.

Description

You are provided with 13 circles numbered sequentially. Given that circle #1 has an area of “X”, then circle #2 has area 2X; circle #3 has area 3X; circle 4 has area 4X, and so forth up to 13X. You goal is to fit them, or as many as you can, into the large square opening.
To fit all 13 is very difficult. How many can you fit? Give yourself a point total equal to the sum of the numbers on the circle for each circle you fit inside the square. Maximum possible is 91 points if you get them all inside.
Analysis by Professor Eckard Specht, Germany has shown that the minimum square that these circles will fit into (with no overlap) has a side length equal to 18.590 times the radius of the smallest circle. That is the situation presented in this puzzle. The density of the area filled is 82.7% if all 13 are inserted.
Circle packing is an interesting branch of mathematics. A circle packing is an arrangement of circles inside a given boundary such that no two overlap and some (or all) of them are mutually tangent. The math and geometry needed to make this particular challenging puzzle was obtained from www.packomania.com by Prof. Eckard Specht of Germany.
There is extensive information on Circle Packing which you can find via an internet search on the subject.
The puzzle comes with base and cover and was made in Hudson, FL, USA using both laser and conventional woodworking techniques. It measures approx. 9” x 7.5”. Wood pieces are ¼” thick.
Made in USA copyright 2019 Creative Crafthouse

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Product Specifications

Dimensions: 9.3 × 7.5 × 0.75
Materials: Wood
Difficulty Level: Hard
Age Range: Teens (13-18 years), Adults (18+ years)
Piece Count: 13
What's Included: Puzzle board (1), Puzzle pieces (13), Wood cover (1), Instructions and solution sheet (1)
Cognitive Benefits: Brain Training
Gift Occasions: Birthday, Holidays
Personalization Available: Yes
Puzzle Type: Assembly, Packing
Category: Brain Teaser Puzzle
Availability: In Stock

Personalize It!

Did you know we can add a custom laser engraving to every puzzle and game? Well, we can. Add a personal touch to your gift with a name or message.

Personalized laser engraving

a puzzle being laser engraved with personalized text by creative crafthouse

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Frequently Asked Questions

What is the Circle Pack 13 puzzle?

It is a packing brain teaser with 13 numbered wooden circles that you try to fit into a single square opening.

How do you play?

Fit as many of the 13 circles as you can into the large square opening without overlapping them.

How is the score calculated?

Give yourself points equal to the number on each circle you fit inside. For example, fitting circle 5 earns 5 points.

What is the highest possible score?

The maximum is 91 points, which means fitting all 13 circles inside the square.

How are the circles sized?

The circles grow in area in sequence. If circle 1 has area X, then circle 2 has area 2X, circle 3 has area 3X, and so on up to 13X.

How hard is it?

Fitting all 13 is very difficult. When every circle is packed in, they fill about 82.7 percent of the square.

What is the math behind it?

The smallest square that holds all the circles without overlap has a side length of 18.590 times the radius of the smallest circle, based on analysis by Professor Eckard Specht of Germany. The geometry was drawn from packomania.com.

What is included?

The puzzle comes with a base and a cover.

What size is it and what is it made of?

It measures approximately 9 by 7.5 inches, with wood pieces 1/4 inch thick, made using both laser and conventional woodworking.

Who is it for?

It suits math fans, teachers, and puzzle lovers who enjoy a hard packing challenge.

Where is it made?

It was made in Hudson, Florida, USA using both laser and conventional woodworking techniques.

Can I personalize the Circle Pack 13 puzzle?

Yes. The Circle Pack 13 puzzle can be personalized with a custom laser engraving. Add a name, date, or short message when you order. See our laser engraving page for details and examples. For a custom logo or artwork, request a quote for custom work.