--- In Polytopia@yahoogroups.com, "Dick Fischbeck" <dick_fischbeck@...> wrote:

> Hi Alan

> From what I see, there are 9 different triangles for the 5f triacon at
> the domeclimber.com link. How many are there for Pete's 6f dome? There
> must be a formula.

I went to id:A097108 - OEIS Search Results and I found "FORMULA: Satisfies a linear recurrence with characteristic polynomial (1+x^3)(1-x^3)^3."

In Desert Domes - Dome Formulas:

• dome radius = strut length/strut factor
• strut length = dome radius * strut factor

> Dick

> --- In Polytopia@yahoogroups.com, "Alan Michelson"
> amichelson2002@ wrote:

> > --- In Polytopia@yahoogroups.com, "Harold" <howard@> wrote:

> > > Hey all,
> > > I have been working on a 6v geodesic dome design that requires
> > > only six strut lengths. (Based on the icosahedron)

> > > Using this theory; any frequency dome would have the same number of
> > > different strut lengths as its frequency. 3v=3 different lengths,
> > > 4v=4 different lengths, 6v=6 different lengths, and so on.

> > > Has anyone ever heard of a design like this?

> > http://www.domeclimber.com/freqs.php

> > > The model I have built is beautiful and gives clear, contiguous,
> > > color coded patterns around the circumference of the dome. Once
> > > assembly is started; the builder just connects the colors to like
> > > colors most of the way around. It makes a six frequency as easy to
> > > build as a four frequency.

> > > One small drawback to this design is that the hemisphere (and each
> > > other cut off point) does not sit flat. This would not be a problem
> > > if you planned to build a dome of less than half sphere. Less than
> > > half sphere domes never sit flat anyway. This also would not be a
> > > problem for construction of complete spheres.

> > > I look forward to the feedback. If the layout already exists I would
> > > like to read up on it. If the layout does not exist, I would like to
> > > perfect this layout, and then share it with all of you!

> > > Thank you for your time,
> > > Harold