Is this more than a packing puzzle?A Surprising Circle PackingWhat's the smallest chemical elements word search that can be made?Packing circles in a rectangleNear-fill with 3x1 long triominos, how to do a different void square than the center square?The crossword packing puzzleIs there only one solution to the “Ten Penny Puzzle” or more?

What gave NASA the confidence for a translunar injection in Apollo 8?

Character Arcs - What if the character doesn't overcome the big lie, flaws or wounds?

German phrase for 'suited and booted'

Loss of motivation to do either academia or industry. Wasting days and feeling lost. Any advice?

Found more old paper shares from broken up companies

If I have the Armor of Shadows Eldritch Invocation, do I know the Mage Armor spell?

What is a plausible power source to indefinitely sustain a space station?

Is the apartment I want to rent a scam?

Does switching on an old games console without a cartridge damage it?

The seven story archetypes. Are they truly all of them?

What was the rationale behind 36 bit computer architectures?

Are there any English words pronounced with sounds/syllables that aren't part of the spelling?

My current job follows "worst practices". How can I talk about my experience in an interview without giving off red flags?

Why is there an extra "t" in Lemmatization?

Other than a swing wing, what types of variable geometry have flown?

Why are Oscar, India, and X-Ray (O, I, and X) not used as taxiway identifiers?

What is "ass door"?

How does mathematics work?

Why can't a country print its own money to spend it only abroad?

How did pilots avoid thunderstorms and related weather before “reliable” airborne weather radar was introduced on airliners?

Were the Apollo broadcasts recorded locally on the LM?

Company requiring me to let them review research from before I was hired

What kind of world would drive brains to evolve high-throughput sensory?

Are rockets faster than airplanes?



Is this more than a packing puzzle?


A Surprising Circle PackingWhat's the smallest chemical elements word search that can be made?Packing circles in a rectangleNear-fill with 3x1 long triominos, how to do a different void square than the center square?The crossword packing puzzleIs there only one solution to the “Ten Penny Puzzle” or more?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








31












$begingroup$


I bought this set of wooden blocks at a garage sale today, and although it was a challenge to fit them in the box, I suspected they were more than just a packing puzzle. Can you guess what else they are used for?



set of wooden blocks



Hint 1:




There are 32 blocks in total, the exact same shapes in light and dark.




Hint 2:




There are six different shapes, and the shapes have meaning.











share|improve this question









$endgroup$











  • $begingroup$
    Maybe add a hint saying how many shapes appeared once each, twice each, etc.?
    $endgroup$
    – supercat
    Jul 14 at 16:38






  • 2




    $begingroup$
    How about kindling :)
    $endgroup$
    – Kent S
    Jul 15 at 4:58

















31












$begingroup$


I bought this set of wooden blocks at a garage sale today, and although it was a challenge to fit them in the box, I suspected they were more than just a packing puzzle. Can you guess what else they are used for?



set of wooden blocks



Hint 1:




There are 32 blocks in total, the exact same shapes in light and dark.




Hint 2:




There are six different shapes, and the shapes have meaning.











share|improve this question









$endgroup$











  • $begingroup$
    Maybe add a hint saying how many shapes appeared once each, twice each, etc.?
    $endgroup$
    – supercat
    Jul 14 at 16:38






  • 2




    $begingroup$
    How about kindling :)
    $endgroup$
    – Kent S
    Jul 15 at 4:58













31












31








31


1



$begingroup$


I bought this set of wooden blocks at a garage sale today, and although it was a challenge to fit them in the box, I suspected they were more than just a packing puzzle. Can you guess what else they are used for?



set of wooden blocks



Hint 1:




There are 32 blocks in total, the exact same shapes in light and dark.




Hint 2:




There are six different shapes, and the shapes have meaning.











share|improve this question









$endgroup$




I bought this set of wooden blocks at a garage sale today, and although it was a challenge to fit them in the box, I suspected they were more than just a packing puzzle. Can you guess what else they are used for?



set of wooden blocks



Hint 1:




There are 32 blocks in total, the exact same shapes in light and dark.




Hint 2:




There are six different shapes, and the shapes have meaning.








packing






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Jul 14 at 5:12









Don KirkbyDon Kirkby

5474 silver badges12 bronze badges




5474 silver badges12 bronze badges











  • $begingroup$
    Maybe add a hint saying how many shapes appeared once each, twice each, etc.?
    $endgroup$
    – supercat
    Jul 14 at 16:38






  • 2




    $begingroup$
    How about kindling :)
    $endgroup$
    – Kent S
    Jul 15 at 4:58
















  • $begingroup$
    Maybe add a hint saying how many shapes appeared once each, twice each, etc.?
    $endgroup$
    – supercat
    Jul 14 at 16:38






  • 2




    $begingroup$
    How about kindling :)
    $endgroup$
    – Kent S
    Jul 15 at 4:58















$begingroup$
Maybe add a hint saying how many shapes appeared once each, twice each, etc.?
$endgroup$
– supercat
Jul 14 at 16:38




$begingroup$
Maybe add a hint saying how many shapes appeared once each, twice each, etc.?
$endgroup$
– supercat
Jul 14 at 16:38




2




2




$begingroup$
How about kindling :)
$endgroup$
– Kent S
Jul 15 at 4:58




$begingroup$
How about kindling :)
$endgroup$
– Kent S
Jul 15 at 4:58










3 Answers
3






active

oldest

votes


















35












$begingroup$

They are:




A set of abstract chess pieces: the short rectangular prisms are pawns (8 white, 8 black), the L pieces are probably knights (2 white, 2 black), the pentagonal pieces are probably bishops (2 white, 2 black), the marked longer rectangular prisms are probably rooks (2 white, 2 black) - based on general representations as the L pieces can look like a horse head, the pentagonal pieces can look like a bishop's hat, and the squares could look like towers, the longest rectangular prisms are probably kings and the octagons are probably queens (1 white and 1 black, each) based on their movement patterns.







share|improve this answer









$endgroup$








  • 10




    $begingroup$
    It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
    $endgroup$
    – Jaap Scherphuis
    Jul 14 at 9:20






  • 1




    $begingroup$
    Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
    $endgroup$
    – Don Kirkby
    Jul 15 at 5:47


















11












$begingroup$

A small addition to phenomist's excellent answer:




I had a slightly different interpretation of the shapes' meanings. The rook's edges are marked, because it moves orthogonally. The bishop has diagonal edges, because it moves diagonally, and the knight is L-shaped, because it moves in an L shape.

Here's a photo of the pieces on a chess board: abstract chess set on a board




Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.



pieces packed in the box






share|improve this answer









$endgroup$








  • 2




    $begingroup$
    I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:10










  • $begingroup$
    Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
    $endgroup$
    – Mr Pie
    Jul 15 at 19:16






  • 1




    $begingroup$
    Not a big deal, @MrPie, but thanks for cleaning it up.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:21


















8












$begingroup$

The tricky packing interests me.



The height of each part appears to be 1, 2, or 3 units.

This gives a total volume of $(4 times 3) + (12 times 2) + (16 times 1) = 52$ units.

But the volume of the box seems to be only $4 times 4 times 3 = 48$ units.



So how could it be done? My guess:




If the knights are nested in pairs then they take only 6 units instead of 8.

But that still leaves 2 pawns that will not fit.


Now, if the four bishops are placed together, but twisted, a hole is available between them.

That hole will take the remaining 2 pawns, diagonally.

enter image description here




Edit: it turned out that the solution of @JaapScherphuis is better




enter image description here


This saves the needed volume of 4.







share|improve this answer











$endgroup$












  • $begingroup$
    @JaapScherphuis yours seems better - I have added it.
    $endgroup$
    – Weather Vane
    Jul 15 at 15:14






  • 1




    $begingroup$
    Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
    $endgroup$
    – Don Kirkby
    Jul 15 at 15:35













Your Answer








StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "559"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f86148%2fis-this-more-than-a-packing-puzzle%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown

























3 Answers
3






active

oldest

votes








3 Answers
3






active

oldest

votes









active

oldest

votes






active

oldest

votes









35












$begingroup$

They are:




A set of abstract chess pieces: the short rectangular prisms are pawns (8 white, 8 black), the L pieces are probably knights (2 white, 2 black), the pentagonal pieces are probably bishops (2 white, 2 black), the marked longer rectangular prisms are probably rooks (2 white, 2 black) - based on general representations as the L pieces can look like a horse head, the pentagonal pieces can look like a bishop's hat, and the squares could look like towers, the longest rectangular prisms are probably kings and the octagons are probably queens (1 white and 1 black, each) based on their movement patterns.







share|improve this answer









$endgroup$








  • 10




    $begingroup$
    It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
    $endgroup$
    – Jaap Scherphuis
    Jul 14 at 9:20






  • 1




    $begingroup$
    Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
    $endgroup$
    – Don Kirkby
    Jul 15 at 5:47















35












$begingroup$

They are:




A set of abstract chess pieces: the short rectangular prisms are pawns (8 white, 8 black), the L pieces are probably knights (2 white, 2 black), the pentagonal pieces are probably bishops (2 white, 2 black), the marked longer rectangular prisms are probably rooks (2 white, 2 black) - based on general representations as the L pieces can look like a horse head, the pentagonal pieces can look like a bishop's hat, and the squares could look like towers, the longest rectangular prisms are probably kings and the octagons are probably queens (1 white and 1 black, each) based on their movement patterns.







share|improve this answer









$endgroup$








  • 10




    $begingroup$
    It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
    $endgroup$
    – Jaap Scherphuis
    Jul 14 at 9:20






  • 1




    $begingroup$
    Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
    $endgroup$
    – Don Kirkby
    Jul 15 at 5:47













35












35








35





$begingroup$

They are:




A set of abstract chess pieces: the short rectangular prisms are pawns (8 white, 8 black), the L pieces are probably knights (2 white, 2 black), the pentagonal pieces are probably bishops (2 white, 2 black), the marked longer rectangular prisms are probably rooks (2 white, 2 black) - based on general representations as the L pieces can look like a horse head, the pentagonal pieces can look like a bishop's hat, and the squares could look like towers, the longest rectangular prisms are probably kings and the octagons are probably queens (1 white and 1 black, each) based on their movement patterns.







share|improve this answer









$endgroup$



They are:




A set of abstract chess pieces: the short rectangular prisms are pawns (8 white, 8 black), the L pieces are probably knights (2 white, 2 black), the pentagonal pieces are probably bishops (2 white, 2 black), the marked longer rectangular prisms are probably rooks (2 white, 2 black) - based on general representations as the L pieces can look like a horse head, the pentagonal pieces can look like a bishop's hat, and the squares could look like towers, the longest rectangular prisms are probably kings and the octagons are probably queens (1 white and 1 black, each) based on their movement patterns.








share|improve this answer












share|improve this answer



share|improve this answer










answered Jul 14 at 7:12









phenomistphenomist

10.5k39 silver badges60 bronze badges




10.5k39 silver badges60 bronze badges







  • 10




    $begingroup$
    It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
    $endgroup$
    – Jaap Scherphuis
    Jul 14 at 9:20






  • 1




    $begingroup$
    Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
    $endgroup$
    – Don Kirkby
    Jul 15 at 5:47












  • 10




    $begingroup$
    It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
    $endgroup$
    – Jaap Scherphuis
    Jul 14 at 9:20






  • 1




    $begingroup$
    Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
    $endgroup$
    – Don Kirkby
    Jul 15 at 5:47







10




10




$begingroup$
It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
$endgroup$
– Jaap Scherphuis
Jul 14 at 9:20




$begingroup$
It is so obvious once it's pointed out, that it makes me wonder why I didn't see it.
$endgroup$
– Jaap Scherphuis
Jul 14 at 9:20




1




1




$begingroup$
Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
$endgroup$
– Don Kirkby
Jul 15 at 5:47




$begingroup$
Excellent answer, @phenomist! I added my own interpretation, and some extra photos in my own answer.
$endgroup$
– Don Kirkby
Jul 15 at 5:47













11












$begingroup$

A small addition to phenomist's excellent answer:




I had a slightly different interpretation of the shapes' meanings. The rook's edges are marked, because it moves orthogonally. The bishop has diagonal edges, because it moves diagonally, and the knight is L-shaped, because it moves in an L shape.

Here's a photo of the pieces on a chess board: abstract chess set on a board




Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.



pieces packed in the box






share|improve this answer









$endgroup$








  • 2




    $begingroup$
    I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:10










  • $begingroup$
    Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
    $endgroup$
    – Mr Pie
    Jul 15 at 19:16






  • 1




    $begingroup$
    Not a big deal, @MrPie, but thanks for cleaning it up.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:21















11












$begingroup$

A small addition to phenomist's excellent answer:




I had a slightly different interpretation of the shapes' meanings. The rook's edges are marked, because it moves orthogonally. The bishop has diagonal edges, because it moves diagonally, and the knight is L-shaped, because it moves in an L shape.

Here's a photo of the pieces on a chess board: abstract chess set on a board




Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.



pieces packed in the box






share|improve this answer









$endgroup$








  • 2




    $begingroup$
    I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:10










  • $begingroup$
    Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
    $endgroup$
    – Mr Pie
    Jul 15 at 19:16






  • 1




    $begingroup$
    Not a big deal, @MrPie, but thanks for cleaning it up.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:21













11












11








11





$begingroup$

A small addition to phenomist's excellent answer:




I had a slightly different interpretation of the shapes' meanings. The rook's edges are marked, because it moves orthogonally. The bishop has diagonal edges, because it moves diagonally, and the knight is L-shaped, because it moves in an L shape.

Here's a photo of the pieces on a chess board: abstract chess set on a board




Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.



pieces packed in the box






share|improve this answer









$endgroup$



A small addition to phenomist's excellent answer:




I had a slightly different interpretation of the shapes' meanings. The rook's edges are marked, because it moves orthogonally. The bishop has diagonal edges, because it moves diagonally, and the knight is L-shaped, because it moves in an L shape.

Here's a photo of the pieces on a chess board: abstract chess set on a board




Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.



pieces packed in the box







share|improve this answer












share|improve this answer



share|improve this answer










answered Jul 15 at 5:45









Don KirkbyDon Kirkby

5474 silver badges12 bronze badges




5474 silver badges12 bronze badges







  • 2




    $begingroup$
    I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:10










  • $begingroup$
    Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
    $endgroup$
    – Mr Pie
    Jul 15 at 19:16






  • 1




    $begingroup$
    Not a big deal, @MrPie, but thanks for cleaning it up.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:21












  • 2




    $begingroup$
    I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:10










  • $begingroup$
    Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
    $endgroup$
    – Mr Pie
    Jul 15 at 19:16






  • 1




    $begingroup$
    Not a big deal, @MrPie, but thanks for cleaning it up.
    $endgroup$
    – Don Kirkby
    Jul 15 at 19:21







2




2




$begingroup$
I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
$endgroup$
– Don Kirkby
Jul 15 at 19:10




$begingroup$
I don't know what the etiquette is on this site for spoilers in the comments, @MrPie, but perhaps you could edit your comment to "the coolest design of this item I have ever seen." As for your question, I found it at a thrift sale, so I don't know where it was originally bought. I tried googling for similar items, but couldn't find an exact match.
$endgroup$
– Don Kirkby
Jul 15 at 19:10












$begingroup$
Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
$endgroup$
– Mr Pie
Jul 15 at 19:16




$begingroup$
Sorry about my spoiling comment; I guess I got carried away since the answer has already been accepted and I quite love this design. Again, my apologies. Comment deleted. (With that being said, perhaps you should not mention the link in the word "googling" hehe.) But no stress if you can't find out where exactly it came from. The similar items looked nearly the same, so I'll probably make it a goal to get that. Thanks, and great puzzle! :)
$endgroup$
– Mr Pie
Jul 15 at 19:16




1




1




$begingroup$
Not a big deal, @MrPie, but thanks for cleaning it up.
$endgroup$
– Don Kirkby
Jul 15 at 19:21




$begingroup$
Not a big deal, @MrPie, but thanks for cleaning it up.
$endgroup$
– Don Kirkby
Jul 15 at 19:21











8












$begingroup$

The tricky packing interests me.



The height of each part appears to be 1, 2, or 3 units.

This gives a total volume of $(4 times 3) + (12 times 2) + (16 times 1) = 52$ units.

But the volume of the box seems to be only $4 times 4 times 3 = 48$ units.



So how could it be done? My guess:




If the knights are nested in pairs then they take only 6 units instead of 8.

But that still leaves 2 pawns that will not fit.


Now, if the four bishops are placed together, but twisted, a hole is available between them.

That hole will take the remaining 2 pawns, diagonally.

enter image description here




Edit: it turned out that the solution of @JaapScherphuis is better




enter image description here


This saves the needed volume of 4.







share|improve this answer











$endgroup$












  • $begingroup$
    @JaapScherphuis yours seems better - I have added it.
    $endgroup$
    – Weather Vane
    Jul 15 at 15:14






  • 1




    $begingroup$
    Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
    $endgroup$
    – Don Kirkby
    Jul 15 at 15:35















8












$begingroup$

The tricky packing interests me.



The height of each part appears to be 1, 2, or 3 units.

This gives a total volume of $(4 times 3) + (12 times 2) + (16 times 1) = 52$ units.

But the volume of the box seems to be only $4 times 4 times 3 = 48$ units.



So how could it be done? My guess:




If the knights are nested in pairs then they take only 6 units instead of 8.

But that still leaves 2 pawns that will not fit.


Now, if the four bishops are placed together, but twisted, a hole is available between them.

That hole will take the remaining 2 pawns, diagonally.

enter image description here




Edit: it turned out that the solution of @JaapScherphuis is better




enter image description here


This saves the needed volume of 4.







share|improve this answer











$endgroup$












  • $begingroup$
    @JaapScherphuis yours seems better - I have added it.
    $endgroup$
    – Weather Vane
    Jul 15 at 15:14






  • 1




    $begingroup$
    Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
    $endgroup$
    – Don Kirkby
    Jul 15 at 15:35













8












8








8





$begingroup$

The tricky packing interests me.



The height of each part appears to be 1, 2, or 3 units.

This gives a total volume of $(4 times 3) + (12 times 2) + (16 times 1) = 52$ units.

But the volume of the box seems to be only $4 times 4 times 3 = 48$ units.



So how could it be done? My guess:




If the knights are nested in pairs then they take only 6 units instead of 8.

But that still leaves 2 pawns that will not fit.


Now, if the four bishops are placed together, but twisted, a hole is available between them.

That hole will take the remaining 2 pawns, diagonally.

enter image description here




Edit: it turned out that the solution of @JaapScherphuis is better




enter image description here


This saves the needed volume of 4.







share|improve this answer











$endgroup$



The tricky packing interests me.



The height of each part appears to be 1, 2, or 3 units.

This gives a total volume of $(4 times 3) + (12 times 2) + (16 times 1) = 52$ units.

But the volume of the box seems to be only $4 times 4 times 3 = 48$ units.



So how could it be done? My guess:




If the knights are nested in pairs then they take only 6 units instead of 8.

But that still leaves 2 pawns that will not fit.


Now, if the four bishops are placed together, but twisted, a hole is available between them.

That hole will take the remaining 2 pawns, diagonally.

enter image description here




Edit: it turned out that the solution of @JaapScherphuis is better




enter image description here


This saves the needed volume of 4.








share|improve this answer














share|improve this answer



share|improve this answer








edited Jul 15 at 19:31

























answered Jul 15 at 14:56









Weather VaneWeather Vane

5,3161 gold badge3 silver badges23 bronze badges




5,3161 gold badge3 silver badges23 bronze badges











  • $begingroup$
    @JaapScherphuis yours seems better - I have added it.
    $endgroup$
    – Weather Vane
    Jul 15 at 15:14






  • 1




    $begingroup$
    Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
    $endgroup$
    – Don Kirkby
    Jul 15 at 15:35
















  • $begingroup$
    @JaapScherphuis yours seems better - I have added it.
    $endgroup$
    – Weather Vane
    Jul 15 at 15:14






  • 1




    $begingroup$
    Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
    $endgroup$
    – Don Kirkby
    Jul 15 at 15:35















$begingroup$
@JaapScherphuis yours seems better - I have added it.
$endgroup$
– Weather Vane
Jul 15 at 15:14




$begingroup$
@JaapScherphuis yours seems better - I have added it.
$endgroup$
– Weather Vane
Jul 15 at 15:14




1




1




$begingroup$
Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
$endgroup$
– Don Kirkby
Jul 15 at 15:35




$begingroup$
Yes, @JaapScherphuis, the second diagram is correct. I'm impressed you could solve it just from the photograph.
$endgroup$
– Don Kirkby
Jul 15 at 15:35

















draft saved

draft discarded
















































Thanks for contributing an answer to Puzzling Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid


  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.

Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f86148%2fis-this-more-than-a-packing-puzzle%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Get product attribute by attribute group code in magento 2get product attribute by product attribute group in magento 2Magento 2 Log Bundle Product Data in List Page?How to get all product attribute of a attribute group of Default attribute set?Magento 2.1 Create a filter in the product grid by new attributeMagento 2 : Get Product Attribute values By GroupMagento 2 How to get all existing values for one attributeMagento 2 get custom attribute of a single product inside a pluginMagento 2.3 How to get all the Multi Source Inventory (MSI) locations collection in custom module?Magento2: how to develop rest API to get new productsGet product attribute by attribute group code ( [attribute_group_code] ) in magento 2

Category:9 (number) SubcategoriesMedia in category "9 (number)"Navigation menuUpload mediaGND ID: 4485639-8Library of Congress authority ID: sh85091979ReasonatorScholiaStatistics

Magento 2.3: How do i solve this, Not registered handle, on custom form?How can i rewrite TierPrice Block in Magento2magento 2 captcha not rendering if I override layout xmlmain.CRITICAL: Plugin class doesn't existMagento 2 : Problem while adding custom button order view page?Magento 2.2.5: Overriding Admin Controller sales/orderMagento 2.2.5: Add, Update and Delete existing products Custom OptionsMagento 2.3 : File Upload issue in UI Component FormMagento2 Not registered handleHow to configured Form Builder Js in my custom magento 2.3.0 module?Magento 2.3. How to create image upload field in an admin form