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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;
$begingroup$
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?
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
$endgroup$
add a comment |
$begingroup$
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?
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
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
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?
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
$endgroup$
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?
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
packing
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
add a comment |
$begingroup$
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
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
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.
$endgroup$
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
add a comment |
$begingroup$
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:
Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.
$endgroup$
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
add a comment |
$begingroup$
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.
Edit: it turned out that the solution of @JaapScherphuis is better
This saves the needed volume of 4.
$endgroup$
$begingroup$
@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
add a comment |
Your Answer
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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.
$endgroup$
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
add a comment |
$begingroup$
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.
$endgroup$
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
add a comment |
$begingroup$
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.
$endgroup$
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.
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
add a comment |
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
add a comment |
$begingroup$
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:
Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.
$endgroup$
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
add a comment |
$begingroup$
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:
Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.
$endgroup$
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
add a comment |
$begingroup$
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:
Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.
$endgroup$
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:
Finally, here's a photo of all the pieces in the box. The tricky packing isn't visible.
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
add a comment |
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
add a comment |
$begingroup$
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.
Edit: it turned out that the solution of @JaapScherphuis is better
This saves the needed volume of 4.
$endgroup$
$begingroup$
@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
add a comment |
$begingroup$
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.
Edit: it turned out that the solution of @JaapScherphuis is better
This saves the needed volume of 4.
$endgroup$
$begingroup$
@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
add a comment |
$begingroup$
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.
Edit: it turned out that the solution of @JaapScherphuis is better
This saves the needed volume of 4.
$endgroup$
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.
Edit: it turned out that the solution of @JaapScherphuis is better
This saves the needed volume of 4.
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
add a comment |
$begingroup$
@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
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$begingroup$
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