The New Name of the Structure and the Dome that I invented

There are several selection of  the naming.
I have been thinking about it since the start of this development.

Fast of all more than 20 years ago I started this research and study not from grid pattern of Leonard da Vinci but rather from platonic bodies in short sacred geometry.

At that time Ｉ researched the structure system in order to form organic. I do not need ones such like a strong personality but rather need to something that could be able to share for everyone.
Therefor I have strongly studied geometric pattern and learned technology of an analysis.
In the interim, I knew the grid by Leonard at the end of last century in Nexus Network Journal.
At this point I have already invented original structure system that consist of three geometric pattern.
A few years later I applicated a patent as structure system.
The dome structure that named by me”The Da Vinci Dome"was the one example from that system.
At the opening to the public I called it so in order to easy to be understood without technical terms and to respect to LDVinci.

However if many people would perceive the significant of  an effect by the 3rd geometric system in it and see the comming outer shell, this name would be unseemly.
Therefor I decided to change this name.
And Ｉ put the plain my name to this structure.

Murata Dome, Murata Structure or Murata Structure System
If someone asks more details, I will explain it "New geodesic dome incorporated zome geometry".
Now I will show you some example of  this features.

We can not easily find "zone " in my system, unlike zonohedron- rhombic polyhedron.
Because we used to see and live on a flat world  and in a lower dimension.

Finally I would like show you my final destination.
This is one example of  domed contractions from same system
Here we can not recognize geodesic form.
If someone asks more details, I will explain it "Multidimensional structural architecture".
This structure consist of geometrically 9 dimension.

one example of final transformation
side view

overview

The first floor of the plane

The geometrical theory of The New Geodesic Dome as well known " The Da Vinci Dome"

First of all I have to explain you the geometrical theory of this dome structure.
It consists of three type of geometrical category.

First one is as well known platonic bodies.
Those five bodies are able to be circumscribed  and inscribed a sphere  but also projected on a surface of a sphere.
The basic geodesic domes are made  from this principle. and also their structure are used regular icosahedron ,because of the stability by their five pointed stars.

In the second step we need a knowledge about sphere geometry.
In according to its principle  subdivision of triangle grids has been possible.

Then in  the 3rd step we  rearrange  those grids on this sphere so that each element construct reciprocal grids. For this analysis we use sphere geometry..
Almost experiment of those structure around the world have been done by only such an analysis.
As a result of this analysis, the bottom element(members)are not able to stand vertical.

Most important point in next step is stability as dome.
In order to solve this problem I put the another geometrical method in this program..

With this theory we are able to set the bottom members vertical to the ground and 15 members are parallel to each other.
you could see those parallel members not only bottom but also around sphere six pieces in all.

It is called "Zone". It is  the parallel edge belt of zonohedron. This is main symbolised  theory of Zome-geometry or zone
-geometry.

If you interested in this more,I recommend you an official site of W.H.Hart-US.
Zome geometry were known by one traditional geometer H. S. Coxeter-UK during the latter half of the 20th century.

This is most useful theory　and method in order to plan reciprocal structural  dome so that the dome become stabilized.

In addition to this,this  geodesic and reciprocal dome have an ability as transformation .

I will show you one example image.

transformed structure

This ability is also the most different feature from traditional geodesic dome.

From the above,in order to meet a condition of  the self-sustainable dome with the reciprocal frame we need to take three geometrical step platonic-,sphere-and zome-geometry.

Then　the mathematical formula in excel-program relies upon those theory.