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### Ideas For New Boards

Posted: Wed Jan 16, 2008 5:51 am
In this thread, lets list out some polyhedra that would make great boards for the future. Here are some of my picks:

Sidtid = small ditrigonary icosidodecahedron
Socco = small cubicuboctahedron
Sroh = small rhombihexahedron
Hexagon Prism
Pentagon Antiprism
Net of hexagon duoprism
Quith = quasitruncated hexahedron
Central cross section of iquipadah

Posted: Wed Jan 16, 2008 8:01 am
Ah, excellent idea for a thread. You asked me about this once before and I don't think I ever got back to you

Not sure Quith would work very well. How are you thinking of breaking up the octagram arms?

The Net of hexagon duoprism is an interesting choice. For anyone reading with Stella4D, it's name is hiddip (so use Ctrl+N, hiddip, Enter), then look at its net.

I have my own ideas for new boards, but I prefer not to announce them before releasing them

A big prism/antiprism, eg dodecagonal, might be interesting though.

Rob.

Posted: Wed Jan 16, 2008 12:44 pm
We could break up quith's octagram arms in half, making them look like two tetragons - like so:

|\ / |
|_|_|

Posted: Thu Jan 17, 2008 6:52 am
Come to think of it, that polyhedron seen in the phpbb logo would also make a cool board

Posted: Thu Jan 17, 2008 3:50 pm
Jabe wrote:Come to think of it, that polyhedron seen in the phpbb logo would also make a cool board
The little hut/house thing? Hmm, might disappear if I ever get around to figuring out how to customise the forum

Rob.

### My Vote

Posted: Thu Jan 24, 2008 5:53 pm
I would like to see a nice open torus (perhaps a genus 1), where it is easier to see what you are doing. Like taking an Icosidodecahedron (ID), and excavating two triangular hebesphenorotundas (J92) from opposite ends.

### Or Another Torus

Posted: Thu Jan 24, 2008 6:08 pm
Or perhaps the L2-L2 section of the "T5 / 12Q5S5(D5)" - which is a TID excavated with 12 J5's and PAPs drilling into a central DOE. The cross-section contains all regular polygons.

Polyhedra.Doskey.com/stel/T5-12Q5_S5_(D5)=section=L2-L2.stel

### Re: Or Another Torus

Posted: Fri Jan 25, 2008 4:07 am
Alex Doskey wrote:I would like to see a nice open torus (perhaps a genus 1), where it is easier to see what you are doing. Like taking an Icosidodecahedron (ID), and excavating two triangular hebesphenorotundas (J92) from opposite ends.
That's quite a nice model. Probably still a bit hard to see how some of the tiles inside the hole connect to each other though. I was actually thinking of adding just a plain old torus. Rectangular tiles to approximate it.
Alex Doskey wrote:Or perhaps the L2-L2 section of the "T5 / 12Q5S5(D5)" - which is a TID excavated with 12 J5's and PAPs drilling into a central DOE. The cross-section contains all regular polygons.

Polyhedra.Doskey.com/stel/T5-12Q5_S5_(D5)=section=L2-L2.stel
It's already in the Stella library you know It's just two after "T5 / 12Q5S5(D5)" in the list. I just called it "Torus Slice".

Yeah, that might make an interesting board, but again it might be a bit tricky to see how tiles connect from one side to the other in the hole.

Rob.

### Iquipadah section

Posted: Fri Jan 25, 2008 8:11 am
I would like to see the .5 section of iquipadah as seen in the pic.

the octagon with square hole could first be subdivided into four squares and four triangles.

### Re: Iquipadah section

Posted: Fri Jan 25, 2008 10:06 am
Jabe wrote:I would like to see the .5 section of iquipadah as seen in the pic.
Hmm, pretty weird-looking board, and a meaningless shape to most people.

Rob.

### Re: Or Another Torus

Posted: Fri Jan 25, 2008 5:17 pm
robertw wrote:
Alex Doskey wrote:I would like to see a nice open torus (perhaps a genus 1), where it is easier to see what you are doing. Like taking an Icosidodecahedron (ID), and excavating two triangular hebesphenorotundas (J92) from opposite ends.
That's quite a nice model. Probably still a bit hard to see how some of the tiles inside the hole connect to each other though. I was actually thinking of adding just a plain old torus. Rectangular tiles to approximate it.
I think that is a problem with all of the toroids in Minesweeper, that you have to spin it around so much to see all the tiles you are dealing with. With a Genus 1 model, the problem is much less, and it is very nice to look at while playing.
robertw wrote:
Alex Doskey wrote:Or perhaps the L2-L2 section of the "T5 / 12Q5S5(D5)" - which is a TID excavated with 12 J5's and PAPs drilling into a central DOE. The cross-section contains all regular polygons.

Polyhedra.Doskey.com/stel/T5-12Q5_S5_(D5)=section=L2-L2.stel
It's already in the Stella library you know It's just two after "T5 / 12Q5S5(D5)" in the list. I just called it "Torus Slice".

Yeah, that might make an interesting board, but again it might be a bit tricky to see how tiles connect from one side to the other in the hole.

Rob.
I think the two of these together are very nice because they are so similar in some regards (the slice has 10/6 as many pentagons, squares and triangles as the tunnel). And yet they are different in that one is a thin flat slice and the other is a long thin tunnel.

### Chiral Tetrahedral Non Convex

Posted: Sat Jan 26, 2008 12:09 am
I have another one I would like if you are interested in some symmetric non-convex ones. It is a chiral tetrahedral symmetry one. It is a SRID with four nonconvex figures (similar to J92s) excavated.

http://www.JovoToys.com/figs/E5-4H3.png