Walla Walla, WA Dietrich Activity Center

[TaffGoch]

The Dietrich Activity Center, at Walla Walla Community College, has a 6-fold-radial-symmetry geodesic roof (not based on an icosahedron or triacontahedron.)

Most of the other Temcor V-panel roofs are 5-fold, triacontahedron symmetry.

Based on photos, I got pretty close with my SketchUp model, but I'm sure it's not spot-on. Interesting exercise....

(If anyone has any specifics about the exact geometry, I'd love to hear about it.)

-Taff

[TaffGoch]

By the way, it's a frequency 10v dome, with 20 unique chord factors.

All of the triangles are isosceles (not the "pyramids," but the pyramid perimeters, as depicted below.)

-Taff

[Hector Alfredo Hernández Hdez.]

Taff, ¿you version of SketchUp is expensive?
I love yours draws, are so preffesionals.

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[TaffGoch]

I got the chord-factor count down to 10 (matching the 10v frequency,) without appreciably changing the appearance.

-Taff

[TaffGoch]

Hector,

While I use the SketchUp "Pro" version (paid,) it is not much different from the free version. The only difference is what file formats you can export. (Autocad DXF, DWG is missing, as is OBJ, etc.)

You can download the free SketchUp version, from Google:

http://sketchup.google.com/intl/en/download/gsu.html

-Taff

[TaffGoch]

Hector,

Here is a chart that lists the differences between the free & Pro versions. Pro comes with Layout & Stylebuilder, but I hardly ever use them.

http://sketchup.google.com/product/whygopro.html

-Taff

[TaffGoch]

Here's a 3D PDF file of the Dietrich Activity Center roof, that permits anyone with Adobe Acrobat Reader to manipulate/rotate the dome:

[Hector Alfredo Hernández Hdez.]

Thanks Taff, SketchUp looks like batifull,
Autocad is so expensive to me, obviusly i use ilegal or free versions ... i dont know.

I hope to have a time free to use SketchUp .

Thanks again.


PD: Today my second general exam of Complex Analisis was aprobated in my studies of Math Doctor:)

2 of 4 is good to me, and two left yet in the next six months (Ordinaries Diferential Equations and Topology)

-Taff

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[Gerry Toomey]

Nice models of that Temcor dome, Taff.

 

I've attached a jpg of a polyhedron to which I applied a Temcor-style layout at frequency 3. For lack of a better term, I call the parent polyhedron a triangulated icositetrahedron. It's very similar in structure to the icosahedron, but it has 6-fold symmetry around the north and south poles instead of 5-fold symmetry. You end up with all faces identical in shape, as with the icosahedron, but the faces are isosceles.

 

I'm curious to know what the 3v sphere would look like. Any chance of you doing a SketchUp model? I've included chord factors & spherical coordinates.

 

Thanks,
- Gerry in Quebec

[Gerry Toomey]

Well, I may have cleaned up the earlier typos, but I found an error in my calculation of the spherical coordinates. I forgot to include key bits of info in the Excel Solver scenario. It all seems correct now, i.e., all coordinates and chord factors respect the Temcor layout of side-by-side isosceles triangles.

 

The new jpg, with altered coordinates and chord factors, is attached.

 

Mea culpa, Taff.

- Gerry

 

On Thu, Sep 29, 2011 at 9:22 AM, Gerry Toomey <toomey...@gmail.com> wrote:

Here's a cleaned-up version of my earlier jpg describing the  icositetrahedron and its 3v projection... hopefully with all the typos weeded out.

- Gerry

 

[Paul Kranz]

Gerry:

 

A 2-frequency cube would yield (2^2 * 6 =) 24 identical iscocoles triangles on the sphere.

 

Paul sends...

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[Gerry in Quebec]

Hi Paul,
Right you are. The term "triangulated icositetrahedron" would apply to
both. So it would be good to find words to distinguish between them.
Thanks.
- Gerry

On Sep 29, 2:26 pm, Paul Kranz <p...@revivetheflame.com> wrote:
> Gerry:
>
> A 2-frequency cube would yield (2^2 * 6 =) 24 identical iscocoles triangles
> on the sphere.
>
> Paul sends...

> On Thu, Sep 29, 2011 at 10:34 AM, Gerry Toomey <toomey.ge...@gmail.com>wrote:
>
>
>
> > Well, I may have cleaned up the earlier typos, but I found an error in my
> > calculation of the spherical coordinates. I forgot to include key bits of
> > info in the Excel Solver scenario. It all seems correct now, i.e., all
> > coordinates and chord factors respect the Temcor layout of side-by-side
> > isosceles triangles.
>
> > The new jpg, with altered coordinates and chord factors, is attached.
>
> > Mea culpa, Taff.
> > - Gerry
>

> > On Thu, Sep 29, 2011 at 9:22 AM, Gerry Toomey <toomey.ge...@gmail.com>wrote:
>
> >> Here's a cleaned-up version of my earlier jpg describing the
> >> icositetrahedron and its 3v projection... hopefully with all the typos
> >> weeded out.
> >> - Gerry
>
> > --
> >  You received this message because you are subscribed to the "Geodesic
> > Help" Google Group
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> > To unsubscribe from this group, send email to
> > GeodesicHelp...@googlegroups.com
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> > For more options, visithttp://groups.google.com/group/geodesichelp?hl=en- Hide quoted text -
>
> - Show quoted text -

[TaffGoch]

Regarding the Dietrich Activity Center in Walla Walla, I think that I've correctly reverse-engineered the Temcor subdivision of the roof.

My suposition, about the subdivision being based on a hexagonal face of a Buckybal,l appears to be right. There are slight "jags" in the arcs that cross primary triangle boundaries, but it's not noticeable, unless you intently study the roof/model. (Image attached.)

The diameter-to-height ratio appears correct. I'm done!

There are 11 unique isosceles triangular panels, for the 10-frequency dome.

-Taff

[TaffGoch]

I've posted the SketchUp model of the Dietrich Activity Center to Google's 3D Warehouse:

http://sketchup.google.com/3dwarehouse/details?mid=e65bd8e198d541a520c2e31efdb183b1

The underlying basis buckyball, and the construction jig, are included in hidden layers.

-Taff