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.

The Background of The Da Vinci Grid

At the end of 1990s the da Vinci grit is watched with interest in the field of the space structure. At the same time one lattice structure by reciprocal grid which put this to practical used was already presented. Figure：GB.PAT.No.２２８，６９６Ａ（Inventor：Ｏｌｉｖｉｅｒ Ｂａｖｅｒｅｌ，Ｍａｒ．０３，１９９９） In addition to the possibility of various space composition,ｆlexibility of materials and ease of the assembling, this structure attracts attention as a space structure in an emergency .The typical feature of this structure can prepare space for a short period of time. In addition, economic benefits is better than a traditional frame structure.There is intensity to vibration and the shock of an earthquake according to the structure being flexible and it being pliant. Ａnd this structure has been used In the world wide from since ancient times.　However until today has not developed the architectural style.Because geometric evolution was required for that.In 2004, Hiroshi Murata succeeds to give one geometric system in this structure, and he announces as Zonoferericated Poly-axes-structure*1.

The ground is largely based on the reproduction and development of classic geometry by geometician H.M.S.Coxeter who already performed since the second half of the last century. This structure was systematized in 2006 and the dome shaped structure was announced*2.
By including a part of this system in spherical geometry it becomes possible to convert the structure of a classic geodesic dome into reciprocal form. In other words, the grid which da Vinci devised by this conversion can be reconstructed on a surface of a sphere.This new geodesic dome is the mobile house developed in order to prepare for purification of the earth where human beings will be faced from now on and the network type communal society formed in connection with it. The outer shell will be covered by EM anti-oxidization panel. It will be quickly urged to purification of the radioactivated body by the synergistic effect of the wave motion by EM and dome space.

*1 The formation method of a hollow-shaped structure・・・・・JP.Patent No. 4153505
*2 Dome shaped structure ............JP.Patent No. 4730850

For more information on panel photo and description
パネル写真と説明の詳細
https://picasaweb.google.com/113504107222857253529/ExhibitionBoardForTheDaVinchDome

ダヴィンチ・グリットが注目され始めた1990年代末、すでにフレーム構造の分野ではこれを具現化した『相互依存形式』によるグリット（格子構造）が発表される。 それはレシプロカル・グリット(Reciprocal Grid)と呼ばれ、グリットのパターンが多彩に展開したものだ。 多様な空間構成の可能性に加え、組み立ての容易さや幅広い構成材料の可能性等の点で、緊急時や非常時の空間構造として注目されている。 典型的な特徴は，短期間に中空状の空間を設けることが可能な点である。さらに、その構造が柔軟でしなやかなことから、地震等の振動や衝撃に対して強度があり、従来のフレーム構造に勝る経済的な利点が挙げられる。

 しかもこの構造はそれ以前より世界の広範囲で使用されてきた。ただ今日に至るまで、それは建築様式を形成するまでには至らなかった。それには幾何学的な進化を伴う必要があったからである。 　2004年、村田弘志はこの構造にある幾何学的体系を与えることに成功し、ゾーン多軸体構造として発表する＊1。

 その下地はすでに前世紀後半から行なわれてきた幾何学者コクセターによる古典幾何学の再生と発展に因るところが大きい。 更に2006年にはその構造をシステム化し、それによって形成するドーム型の構造体を発表する＊２。

　このシステムの一部を球面幾何学に組み込むことでジオデシックドームの構造を相互依存形式に変換することが可能となる。言い換えれば、これによってダヴィンチが考案したグリットを球面上に再構成することができるのである。 　この新たなジオデシックドームは、今後人類が直面する地球の浄化とそれに伴って形成されるネットワーク型共同社会に備えるために開発されたモバイルハウスである。 その外殻はＥＭ抗酸化パネルで覆われることになる。 ＥＭによる波動とドーム空間の相乗効果によって、放射化された身体の浄化が急速に促されるであろう。

＊1 中空状構造体の形成方法・・・特許第４１５３５０５号 

＊2 ドーム型構造体・・・・・・・・・・・・特許第４７３０８５０号

Exhibition "The Da Vinci Dome"

 This is the da Vinci dome in which the contemporary art exhibition in Toyohashi Japan." Following last year, it upgrades and re-appeare this time. The whole picture will be pressed and the background is also pushed forward for it.

【Exhibition period Jan. 17. - Feb.19.2012】

In addition, I made a DIY manual for this structure.
Now, I am translating into English.
It will be sold in the file format at the following sites.
Please wait for a little while longer.
http://www.hiroshi-murata.com/

 『現代美術　in とよはし』出品のダヴィンチ・ドーム。 昨年に引き続き、今年はバージョンアップして再登場。 バックグラウンドも全面に出してその全容に迫ります。

【 開催期間２０１２年１月１７日～２月１９日】

今年後半はこの骨組みに屋根を被せて完成したいと願ってます。
秋に展示発表する予定です。ご期待ください。
なお、ご自身で作ってみたい方のために構造のDIYマニュアルを制作しました。
ファイル形式で販売いたしております。
以下のサイトよりお求めになれます。
http://www.hiroshi-murata.com/