The Conway Packaging Problem

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Project by GaryK posted 12-15-2008 08:55 AM 5630 views 56 times favorited 14 comments Add to Favorites Watch

This one is called “The Conway Packaging Problem”

This one is even easier than the last one. Thiere are only 3 different pieces.

They are made to whatever unit size you want.

For example 2 inches x 4 inches x 1 inch or 20mm x 40mm x 10mm.

Make the following pieces:

6 each 2×4 x 1 units
6 each 2×3 x 2 units
5 each 1×1 x 1 units

You can see them in the second picture above.

I made these out of Sapele. I haven’t decided on a finish yet or if I will make a box to hold them.

The third picture is the solution. Try it without looking at it first. Not easy at all.

Again I have included a Sketchup drawing which you can find here.

-- Gary - Never pass up the opportunity to make a mistake look like you planned it that way - Tyler, TX

14 comments so far

View Russel's profile


2199 posts in 4388 days

#1 posted 12-15-2008 12:50 PM

This reminds of summer vacation when I was a kid. Dad, Mom and five kids in a 1960 station wagon with 2 two weeks of camping gear and supplies. That’ll teach you how to pack.

-- Working at Woodworking

View Steelmum's profile


355 posts in 4411 days

#2 posted 12-15-2008 02:27 PM

Russel, the term ‘young and dumb’: We took three kids, age 6,4,and2 in a Honda 2 door hatchback, from NE Ohio to LA California, for 3 weeks in January. 3 days to get there, four days to get home and we had so much fun.

-- Berta in NC

View rikkor's profile


11295 posts in 4323 days

#3 posted 12-15-2008 02:32 PM

Thanks for the SketchUps Gary. (Especially the solutions!!)

View lew's profile


12821 posts in 4204 days

#4 posted 12-15-2008 03:12 PM

Thanks, Gary!

-- Lew- Time traveler. Purveyor of the Universe's finest custom rolling pins.

View Karson's profile


35194 posts in 4849 days

#5 posted 12-15-2008 03:37 PM

Another great puzzle gary. Thanks.

-- I've been blessed with a father who liked to tinker in wood, and a wife who lets me tinker in wood. Appomattox Virginia [email protected]

View CharlieM1958's profile


16283 posts in 4667 days

#6 posted 12-15-2008 03:39 PM

That would be extremely difficult without peeking at the solution!

-- Charlie M. "Woodworking - patience = firewood"

View sharad's profile


1118 posts in 4253 days

#7 posted 12-15-2008 05:24 PM

Very nice puzzle requiring lot of patience and that tempts to look at the solution! Very nice sketches, Garry

-- “If someone feels that they had never made a mistake in their life, then it means they have never tried a new thing in their life”.-Albert Einstein

View dustygirl's profile


862 posts in 4177 days

#8 posted 12-15-2008 05:28 PM

Very interesting puzzle cube Gary.Nice job on it.

-- Dustygirl..Hastings,Ontario.. How much wood can 1 gal chuck if 1 gal can't cut wood?

View PaBull's profile


967 posts in 4114 days

#9 posted 12-15-2008 05:35 PM

Thanks, Gary, this helps me to make one more Christmas present.

-- rhykenologist and plant grower

View unknownwoodworker's profile


221 posts in 4152 days

#10 posted 12-15-2008 06:25 PM

Far out Dude.

-- ??? My mistakes heat the house. It's very warm in here. ???

View Joe Lyddon's profile

Joe Lyddon

10668 posts in 4501 days

#11 posted 12-15-2008 08:01 PM


Again, a really COOL project… and SIMPLE!

I think I’d just use BLO, Mineral Oil, or maybe a stain/oil… something to keep the smooth slick WOOD feel…

Thank you very much!

-- Have Fun! Joe Lyddon - Alta Loma, CA USA - Home: ... My Small Gallery:

View scottb's profile


3648 posts in 4776 days

#12 posted 12-16-2008 12:52 AM

Like you really give us quick little projects! This is great, as long as I’m giving, not getting it!

-- I am always doing what I cannot do yet, in order to learn how to do it. - Van Gogh -- --

View pommy's profile


1697 posts in 4140 days

#13 posted 12-16-2008 12:55 AM

mate thank you so much for the metric dimensions at last i can understand lol…......

-- cut it saw it scrap it SKPE: ANDREW.CARTER69

View GaryK's profile


10262 posts in 4437 days

#14 posted 12-16-2008 02:53 AM

I got a PM asking how I safely cut these small pieces. Thought that you all might be interested.

Click for details

-- Gary - Never pass up the opportunity to make a mistake look like you planned it that way - Tyler, TX

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