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 Post subject: I Found A Easy Way To Solve the Inverted Pyramids
PostPosted: Tue Oct 19, 2010 7:47 am 
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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
01 Named.JPG [ 105.86 KiB | Viewed 762 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
02 Side-1.JPG [ 170.71 KiB | Viewed 762 times ]

2. Turn one layer to splice the "center + edge" to a "edge + corner".
Attachment:
02 Side-2.JPG
02 Side-2.JPG [ 169.5 KiB | Viewed 762 times ]

3. Turn one layer to splice the "middle triangle" to a "line".
Attachment:
02 Side-3.JPG
02 Side-3.JPG [ 168.03 KiB | Viewed 762 times ]

It is easy to understande without any sequence.
Attachment:
03 Finish 4.gif
03 Finish 4.gif [ 3.24 KiB | Viewed 762 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
04 Turn-1.jpg [ 145.04 KiB | Viewed 762 times ]
----->
Attachment:
04 Turn-2.jpg
04 Turn-2.jpg [ 145.4 KiB | Viewed 762 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
05 From-1.jpg [ 109.8 KiB | Viewed 762 times ]

2. Rotate side by the sequence.
Attachment:
05 From-2.jpg
05 From-2.jpg [ 114.87 KiB | Viewed 762 times ]

3. Turn one layer back.
Attachment:
05 From-3.JPG
05 From-3.JPG [ 110.42 KiB | Viewed 762 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 Pyramids
PostPosted: Sat Oct 23, 2010 11:21 am 
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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?

Attachment:
1023001201.jpg
1023001201.jpg [ 29.12 KiB | Viewed 687 times ]


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


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



I made some picture to explain this case:
Attachment:
step0.jpg
step0.jpg [ 127.8 KiB | Viewed 626 times ]

Attachment:
step1.jpg
step1.jpg [ 136.18 KiB | Viewed 626 times ]

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step2.jpg
step2.jpg [ 130.21 KiB | Viewed 626 times ]

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step3.jpg
step3.jpg [ 142.1 KiB | Viewed 626 times ]

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step4.jpg
step4.jpg [ 135.72 KiB | Viewed 626 times ]

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step5.jpg
step5.jpg [ 134.49 KiB | Viewed 626 times ]

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step6.jpg
step6.jpg [ 129.15 KiB | Viewed 626 times ]

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step7.jpg
step7.jpg [ 139.8 KiB | Viewed 626 times ]

Attachment:
step8.jpg
step8.jpg [ 134.59 KiB | Viewed 626 times ]

Attachment:
step9.jpg
step9.jpg [ 136 KiB | Viewed 626 times ]


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 Post subject: Re: I Found A Easy Way To Solve the Inverted Pyramids
PostPosted: Sat Oct 23, 2010 11:52 pm 
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Joined: Thu Jan 21, 2010 8:25 pm
Continue:
Attachment:
step10.jpg
step10.jpg [ 129.39 KiB | Viewed 625 times ]

Attachment:
step11.jpg
step11.jpg [ 142 KiB | Viewed 625 times ]

Attachment:
step12.jpg
step12.jpg [ 139.15 KiB | Viewed 625 times ]

Attachment:
step13.jpg
step13.jpg [ 127.8 KiB | Viewed 625 times ]


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