[Guest]

I got problem how to slice a cake, the rules for slicing is:

1. you can slicing the cake 3 times only

2. from point no. 1, u must get more than 10 pieces of cake

[Guest]

shape of the cake? can i used curved slicing? this problem is very very easy if those aren't defined beforehand...

[Guest]

Wait, what do you mean 'from point no. 1' ? Do you mean after the first cut or after the last one?

[Guest]

If the cake is a regular shape (e.g. not like a number 2) and the slices are straight cuts through the same plane, it seems to me that you can get a maximum of 7 pieces.

If the cuts are through different planes, I think that you can get 12 pieces.

[Guest]

or if it's a round pan, after cut one, stack the two halves on top of eachother

[Guest]

If the cake is a regular shape (e.g. not like a number 2) and the slices are straight cuts through the same plane, it seems to me that you can get a maximum of 7 pieces.

If the cuts are through different planes, I think that you can get 12 pieces.

I can get 7 as well:

......***********

......*.......|...../.*

.....*.------|------*

.....*........|../....*

.....* .......| /.....*

......*.......|/.....*

.......*... /.|.......*

......***********

[Guest]

Or if it HAS to be straight lines the most I can get is 8

[Guest]

Or if it HAS to be straight lines the most I can get is 8

Unfortunately I lack the graphics skills, but using cut number one above, you could then cut a curved 'S' line continuously intersecting the first cut, creating an infinite number of small interior pieces. (If that makes sense)

[Guest]

Unfortunately I lack the graphics skills, but using cut number one above, you could then cut a curved 'S' line continuously intersecting the first cut, creating an infinite number of small interior pieces. (If that makes sense)

Like this?

[Guest]

Cut a spiral from the center out as the first cut, then cut normal side to side perpendicular for the next two cuts. You can end up with a lot of pieces.

[Guest]

Like this?

Yep, thanks for the visual.

[Guest]

or if it's a round pan, after cut one, stack the two halves on top of eachother

Technically, if you make it all the way to the edge, then the knife is out of the cake and it becomes a new cut. If it doesn't make it all the way out, then the two pieces trying to be split is still one. Therefore, you either only have eight pieces, or you have 6 cuts.

[Guest]

if its a wedding cake/ or another type with layers its easy

Edited May 2, 2009 by WiseWolf

[Guest]

Technically, if you make it all the way to the edge, then the knife is out of the cake and it becomes a new cut. If it doesn't make it all the way out, then the two pieces trying to be split is still one. Therefore, you either only have eight pieces, or you have 6 cuts.

So by your definition I can make as many cuts as I want inside the cake as long as I don't go all the way to the edge?