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 Post subject: Shim's Triamond
PostPosted: Fri Oct 22, 2010 8:03 am 
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Joined: Mon Mar 22, 2010 7:00 am
Location: Germany, Siegerland
Hi!

From one point of view, this puzzle is nothing but a Half-Truncated F-Skewb with the stickers that accent its four-faced tetrahedral shape. But there's another cool thing that is probably cooler than the puzzle itself - it is an edge-truncated Professor Pyraminx at the same time!

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For this reason solution if this puzzle would be halfway solving Professor Pyraminx.
If you solve all Triamond pieces (1 to 4) in Professor Pyraminx, you only need to arrange 3 edge pieces at each egde - a simple task solved with a set of 4-move commutations.

So, anyone who wonders how the Professor Pyraminx can be solved - there's a chain from an everybody-has-it mass produced FTO:
Who solves an FTO, will solve Master Skewb.
Who solves Master Skewb, will solve an F-Skewb.
Who solves an F-Skewb, will solve a Triamond.
Who solves a Triamond, will solve Professor Pyraminx.

Background
Actually I sketched the Triamond even before I came up with the idea of F-Skewb. I was thinking of what we would obtain if we cut off the edges of a Professor Pyraminx and this drawing came out:

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After looking at this sketch for some time I thought that it's better first to transorm it to a more understandable cubic shape - that's how the F-Skewb was born. But Triamond could not be forgotten and also had to come to the world because it's an important bridge between cubes and tetrahedra that illustrates how these are closely related to each other thus being a good contribution to the theory of everything.

Why Triamond?
Because it resembles a diamond shape with a triangular crown instead of a round one.

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In mathematics, the word triamond already means something (a trapezium consisting of 3 equilateral triangles).

Well, this puzzle will be another meaning.

YouTube VIDEO

_________________
Timur aka Shim
Signed Vulcanos ($48), Pillow Pyraminxes ($22)
Come visit my Shapeways shop


Last edited by Timur on Fri Oct 22, 2010 11:30 am, edited 1 time in total.

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 Post subject: Re: Shim's Triamond
PostPosted: Fri Oct 22, 2010 8:38 am 
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Joined: Tue Aug 24, 2010 8:11 am
Location: Taipei, Taiwan
very cool idea and beautiful

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 Post subject: Re: Shim's Triamond
PostPosted: Fri Oct 22, 2010 11:19 am 
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Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
Awesome! I've been wondering what the drawing was since you've shown it. Looks great. :D

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3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!


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 Post subject: Re: Shim's Triamond
PostPosted: Fri Oct 22, 2010 2:19 pm 
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Joined: Tue Aug 11, 2009 3:59 pm
Location: NJ
Beautiful puzzle. Fantastic job. :D

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Jhahoua wrote:
Oskar wrote:
There are three types of people: those are good at counting and those who aren't ... :-)

But that is only 2 kinds of people what is the 3rd?


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 Post subject: Re: Shim's Triamond
PostPosted: Fri Oct 22, 2010 7:00 pm 
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Joined: Tue Mar 10, 2009 7:06 pm
Location: Nowhere in particular.
You really love this tetrahedral/octahedral geometry, eh? :lol:

Nice puzzle (again!)

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~Kapusta

PB: At home (In Competition)
2x2 1.xx (2.88)
3x3 11.xx (15.81)
4x4 1:18.26 (1:24.63)
5x5 (3:00.02)
6x6 4:26.05 (6:34.68)
7x7 6:38.74 (9:48.81)
OH (35.63)

Current Goals:
7x7 sub 6:30
4x4 sub 1:10


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