Fun facts about domes !

[remi docs]

Lets make a list with all the fun facts about dome !

I'll start 

Fun fact :

Domes are the strongest human shelter ever conceived. The even distribution of pressure is how domes efficiently distribute stress along the entire structure. 

[Ashok Mathur]

Dear Remi
I am sure what you have sated is fun but is it a fact?
Are you using the term "pressure" in a scientific way?
Fun is fun.
Ashok

[remi docs]

Should it have been 'the even distribution of weight' ? 

C'mon guys no one wants to make list of dome advantages ? 

[Ashok Mathur]

Dear Remi

Unlike purely compressive structures which respond to a pressure at a point with reaction only at that point, geodesic domes, which are a sub set of tensgrity structures, react as a whole to increase the tension till it equals the additional pressure.

Secondly they rotate around the central axis in response to the additional pressure.

Regards

Ashok

Regards

Ashok

On Wed, Dec 7, 2016 at 9:15 AM, Robert Clark <clark.rob...@gmail.com> wrote:

Okay!  M-O-D-U-L-A-R-I-T-Y of components. :)

On Monday, December 5, 2016 at 10:36:44 PM UTC-5, remi docs wrote:

Should it have been 'the even distribution of weight' ? 

C'mon guys no one wants to make list of dome advantages ? 

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[remi docs]

Robert, great fun fact ! :)

Ashok, now that's a great explanation !! Thanks ! 

I wonder how i could explain that in an image/ animation 

Here's another fun fact :

The larger the dome, the more efficient it becomes. This is demonstrated by doubling the diameter, which encloses eight times the volume. 

[remi docs]

All these facts would look great in an image diagram like the 4 below : (just have to figure out how to make them ...

[Ashok Mathur]

Dear Remi

I hope you know that for about 100 years now that it is known that sphere is not the shape with highest Volume least surface area ratio. There are two other shapes that are better than sphere.

Regards

Ashok

Regards

Ashok

On Wed, Dec 7, 2016 at 1:16 PM, remi docs <docuin...@gmail.com> wrote:

All these facts would look great in an image diagram like the 4 below : (just have to figure out how to make them ...

[Ashok Mathur]

Dear Robert,

I was drawing attention to the work of Lord Kelvin who conjectured a slightly tweaked octahedron to beat the sphere.

Now that work has the name Weaire-Pheson structures.

Regards

Ashok

Regards

Ashok

On Wed, Dec 7, 2016 at 9:18 PM, Robert Clark <clark.rob...@gmail.com> wrote:

Ashok,

Is the, high-volume low-surface area, shape you may be speaking of the Weaire-Phelan structure? That is only in the case of space filling polyhedron shapes.  Nature is very efficient.  So when you have one shape by itself, the most efficient shape is a sphere as in a soap bubble.  When you start putting together many soap bubbles then they will take on forms similar to the Weaire-Phelan structure.

Robert

On Wednesday, December 7, 2016 at 8:04:46 AM UTC-5, Ashok Mathur wrote:

Dear Remi

I hope you know that for about 100 years now that it is known that sphere is not the shape with highest Volume least surface area ratio. There are two other shapes that are better than sphere.

Regards

Ashok

Regards

Ashok

On Wed, Dec 7, 2016 at 1:16 PM, remi docs <docuin...@gmail.com> wrote:

All these facts would look great in an image diagram like the 4 below : (just have to figure out how to make them ...

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[Paul Kranz]

No interior supports. Paul sends...

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[Paul Kranz]

Perhaps domes are the strongest in their weight class. Tri-Steel in Denton, TX, has a steel home that easily competes with domes for strength. Paul sends...

[remi docs]

No interior supports. Paul sends...

Great fun fact Paul !!

 

 Ashok and Robert, the Weaire-Phelan structure is very interesting (i hear about it before, maybe in  a Ted talk ?) but from a building perspective it's not very practical ,so the sphere/dome still wins  :) 

 

[Ken G. Brown]

Which are the two shapes you refer to that have better volume to surface area ratio than the sphere?

I'd like to see the math behind this assertion. It's new to me. 

Ken G. Brown,

from my iPhone

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[Paul Kranz]

Another fun fact; No wasted attic space (assuming we don't like attics!)

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[Blair Wolfram]

Fun Fact.

Walter Bauersfeld's method of designing his dome is called reverse gnomic projection. He projected great triangles onto a measured sphere's surface, as stars are projected onto the inside surface of a planetarium, then projected or measured and sub-divided the 15 great triangles into what looks to be a 14 frequency lattice. I get conflicting results when I search whether the dome is still standing. The dome was finished smooth concrete with no triangular facets. The second oldest dome built this same method with Bauerfeld's design is standing, The Adler Planetarium on Chicago's Lakefront.

Blair

On Wed, Dec 7, 2016 at 1:29 PM, Robert Clark <clark.rob...@gmail.com> wrote:

Fun Fact:  The first geodesic dome was designed by Walter Bauersfeld as a planetarium for the Carl Zeiss Corporation, Jena, Germany in 1922.  Over a dozen of these were built before WWII.  The term "geodesic" had not yet been coined.  Buckminster Fuller would have been 27 years old at the time (1922).  Twenty years later Buckminster Fuller gave the domes the name "geodesic", took out a patent in 1954 and to this day receives credit as the inventor of the geodesic dome.

On Wednesday, December 7, 2016 at 1:14:26 PM UTC-5, Paul Kranz wrote:

Another fun fact; No wasted attic space (assuming we don't like attics!)

On Dec 7, 2016 1:08 PM, "Ken G. Brown" <kbr...@mac.com> wrote:

Which are the two shapes you refer to that have better volume to surface area ratio than the sphere?

I'd like to see the math behind this assertion. It's new to me. 

Ken G. Brown,

from my iPhone

On Dec 7, 2016, at 5:04 AM, Ashok Mathur <ashokch...@gmail.com> wrote:

Dear Remi

I hope you know that for about 100 years now that it is known that sphere is not the shape with highest Volume least surface area ratio. There are two other shapes that are better than sphere.

Regards

Ashok

Regards

Ashok

On Wed, Dec 7, 2016 at 1:16 PM, remi docs <docuin...@gmail.com> wrote:

All these facts would look great in an image diagram like the 4 below : (just have to figure out how to make them ...

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[Ashok Mathur]

More Fun facts about Geodesic domes.

A truly geodesic dome can be built only with spherical triangles.

These do get built either as SIP based or as thin shell domes with an inflatable balloon under them.

But they represent the exception.

Most of what we call geodesic domes are approximations to geodesic domes with a few vertices's laying on the sphere.

Lord Kelvin structures are 14 sided polygons.

So do you know of any structure built of 14 sided polygons that is used to approximate a geodesic dome?

Hint: Such structures exist.

Regards

Ashok

Regards

Ashok

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[Ashok Mathur]

Dear Robert,

Truncated octahedron was indeed the basis of Lord Kelvin structure.

But as you know a circle will can be found that will touch 3 points of a triangle.

An octahedron is composed to 8 equilateral triangles and ill easily fit inside a sphere.

When it is truncated, a sphere may not easily fit it.)(Need to think through this.)

But the answer I am looking for is a very different sort of figure where the faces of the polygon are tangential to the surface of the sphere.

This allows very easy panels to be made with only 3 or 4 edges meeting at a vertex.

Regards

Ashok

Regards

Ashok

On Fri, Dec 9, 2016 at 10:46 PM, Robert Clark <clark.rob...@gmail.com> wrote:

14 sided polyhedron appoximating a geodesic sphere?  There's the Truncated Octahedron made of (6) squares and (8) hexagons which is almost the same as the Lord Kelvin shape.  And, the only other I can think of is the Cube Octahedron made of (6) squares and (8) triangles.

Regards

Ashok

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888-DOME-INC or 612-333-3663

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[Ashok Mathur]

Dear Robert,

There are two related patents by the same inventor J. Craig Yacoe, 108 Harvey La., 4,160,345 7/1979 Nalick Chadds Ford, Pa. 19317 .

The first patent is 4,679,361

Regards

Ashok

                               

Regards

Ashok

On Sat, Dec 10, 2016 at 9:12 PM, Robert Clark <clark.rob...@gmail.com> wrote:

I have been racking my brain (and googling) and just cannot come up with a 14-sided polyhedron approximating a geodesic sphere with all faces tangetial to the surface of a sphere.

Is it a type of Goldberg polyhedron?  Please, please, please what is it?

[Dick Fischbeck]

Build a paper model, why don't you. If you do not know how to this, ask.

[Ashok Mathur]

Dear Robert

The first patent describes how to build a geodesic dome as a tangent to a sphere.

But Hugh Kenner's book also describes how to build geodesic domes out of ellipsoids of revolutions or in layman's term, a beehive dome.

The second patent 4,825,602 of Yacoe describes how to build the beehive domes.

There is enough material in the patents to easily build a paper model.

According to me Figure 3 has to be slightly modified such that polygon 2 is reflected on its free edge and tabs for joining provided on one  side of the figure.

Five such figures need to be printed.

Regards

Ashok

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