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 Post subject: I Found A Easy Way To Solve the Inverted PyramidsPosted: Tue Oct 19, 2010 7:47 am

Joined: Thu Jan 21, 2010 8:25 pm
Inverted Pyramids is a 4x4x4 cube in an octahedral. We can solve it like 4x4x4 cube by reduction method. But it is too hard to observe the edge in the different color in reduction method. And in some case, the center pieces will be scramble after our operate.
So reduction method is not a good way to solve the Inverted Pyramids.

I find a way to solve the Inverted Pyramids in some chance. It is easy to observe and well-understand. Even needn't any sequence. So I think it is a easy way.

I solve the Inverted Pyramids in the way that I call it as "Surface Method".

Let learn the Inverted Pyramids' features first.
1. It is a 4x4x4 Cube.
2. When we see it as a 2x2x2 cube, it is non-scrambled cube.

My "Surface Method" is based in this features.

Let us named the pieces in my "Surface Method":
Attachment:

01 Named.JPG [ 105.86 KiB | Viewed 756 times ]

Don't care of architecture, I named the pieces in every side. So the Inverted Pyramids have 1 center, 3 edge and 3 corner in one side. My "Surface Method" is operate by these edge and corner.

First, we can splice one side in very simple operation.
I post 3 pictures to explain:
1. Turn one layer to splice the center to a edge.
Attachment:

02 Side-1.JPG [ 170.71 KiB | Viewed 756 times ]

2. Turn one layer to splice the "center + edge" to a "edge + corner".
Attachment:

02 Side-2.JPG [ 169.5 KiB | Viewed 756 times ]

3. Turn one layer to splice the "middle triangle" to a "line".
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02 Side-3.JPG [ 168.03 KiB | Viewed 756 times ]

It is easy to understande without any sequence.
Attachment:

03 Finish 4.gif [ 3.24 KiB | Viewed 756 times ]

We can finish 4-5 side in this way by adjust the sides' position. When we deal with the 6th face, we need a new sequence.
There is a very simple sequence to rotate one corner of a cube:
R F' R' F R F' R' F
The corner piece RFU will turn by this sequence.
This sequence will scramble other pieces, but it won't be affect in the Inverted Pyramids.
Attachment:

04 Turn-1.jpg [ 145.04 KiB | Viewed 756 times ]
----->
Attachment:

04 Turn-2.jpg [ 145.4 KiB | Viewed 756 times ]

So we can use this sequence to turn the other side to solice them.

Let us explain the process by pictures:
1. Turn one layer to splice a part to another part.
Attachment:

05 From-1.jpg [ 109.8 KiB | Viewed 756 times ]

2. Rotate side by the sequence.
Attachment:

05 From-2.jpg [ 114.87 KiB | Viewed 756 times ]

3. Turn one layer back.
Attachment:

05 From-3.JPG [ 110.42 KiB | Viewed 756 times ]

Use this operation repeatedly, we can solve the Inverted Pyramids easy and quickly.

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 Post subject: Re: I Found A Easy Way To Solve the Inverted PyramidsPosted: Sat Oct 23, 2010 11:21 am

Joined: Tue Dec 08, 2009 1:46 am
Location: Roanoke, Virginia
Thanks I was having so much trouble with this puzzle. It's always nice to look at a problem in new ways.

I seem to have hit a snag, any help with the following?

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1023001201.jpg [ 29.12 KiB | Viewed 681 times ]

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 Post subject: Re: I Found A Easy Way To Solve the Inverted PyramidsPosted: Sat Oct 23, 2010 12:11 pm

Joined: Tue Dec 08, 2009 1:46 am
Location: Roanoke, Virginia
Never mind i got it.. Same technique still applies I just stopped solving the puzzle

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 Post subject: Re: I Found A Easy Way To Solve the Inverted PyramidsPosted: Sat Oct 23, 2010 11:50 pm

Joined: Thu Jan 21, 2010 8:25 pm
PepeLopez07 wrote:
Never mind i got it.. Same technique still applies I just stopped solving the puzzle

I made some picture to explain this case:
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step9.jpg [ 136 KiB | Viewed 620 times ]

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 Post subject: Re: I Found A Easy Way To Solve the Inverted PyramidsPosted: Sat Oct 23, 2010 11:52 pm

Joined: Thu Jan 21, 2010 8:25 pm
Continue:
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step10.jpg [ 129.39 KiB | Viewed 619 times ]

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step11.jpg [ 142 KiB | Viewed 619 times ]

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step12.jpg [ 139.15 KiB | Viewed 619 times ]

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step13.jpg [ 127.8 KiB | Viewed 619 times ]

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