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JPH0778669B2 - Rhomboidal trihedral surface model - Google Patents
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JPH0778669B2 - Rhomboidal trihedral surface model - Google Patents

Rhomboidal trihedral surface model

Info

Publication number
JPH0778669B2
JPH0778669B2 JP7098587A JP7098587A JPH0778669B2 JP H0778669 B2 JPH0778669 B2 JP H0778669B2 JP 7098587 A JP7098587 A JP 7098587A JP 7098587 A JP7098587 A JP 7098587A JP H0778669 B2 JPH0778669 B2 JP H0778669B2
Authority
JP
Japan
Prior art keywords
rhomboidal
surface model
unit member
rhombic
model
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
JP7098587A
Other languages
Japanese (ja)
Other versions
JPS63235978A (en
Inventor
泰司 梶川
秀雄 相樂
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Individual
Original Assignee
Individual
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Individual filed Critical Individual
Priority to JP7098587A priority Critical patent/JPH0778669B2/en
Publication of JPS63235978A publication Critical patent/JPS63235978A/en
Publication of JPH0778669B2 publication Critical patent/JPH0778669B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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Description

【発明の詳細な説明】 (イ)産業上の利用分野 この発明は、幾何学又は結晶学の研究用モデルに関する
ものである。
TECHNICAL FIELD The present invention relates to a geometrical or crystallographic research model.

(ロ)従来の技術 1986年米国においてミリメターサイズの菱形三十面体状
のアルミニュウム合金準結晶の発見が報ぜられるや、こ
れに関する多面体のモデルが要望されるようになったこ
とは日本特許出願番号62−024007明細書記載によって公
知である。従来菱形三十面体のサーフィスモデルは、菱
形の単位板を周辺において互いに貼り合わせて構成した
凸の角錐のみを有するものが公知であったが、最近凹凸
両角錐を有する第二のモデルが新たに要望されるように
なった。
(B) Prior art When the discovery of a millimetre-sized rhombohedral trihedral aluminum alloy quasicrystal was reported in the United States in 1986, a polyhedral model related to this was demanded. No. 62-024007 is known by the description. Conventionally, the rhomboidal trihedral surface model was known to have only convex pyramids formed by bonding diamond-shaped unit plates to each other in the periphery, but recently a second model with uneven pyramids is newly added. It came to be requested.

(ハ)発明が解決しようとする問題点 上記の二種の菱形三十面体は、角錐の形状およびその配
置が複雑で、見本がなくては作り難く、菱形単位板を所
定の角度に組合せ接着剤によって接合固化させるには治
具を必要とする不都合があった。
(C) Problems to be solved by the invention The above-mentioned two types of rhomboidal trihedrons have complicated pyramid shapes and arrangements and are difficult to make without a sample. There is an inconvenience that a jig is required to bond and solidify with the agent.

(ニ)問題点を解決するための手段 図面とその説明書で作れるような手段であって、これを
図面によって説明すれば、第1図は上記二種のモデルの
斜視図、第2図は本発明によって構成するモデルの単位
部材の展開図。第3図は上記単位部材によって構成した
中間単位部材、第4図は中間単位部材によって構成した
完成モデルの平面図を示す。その内(a)図は凸の角錐
のみを有する多面体に関し、(b)図は凹凸両角錐を有
する多面体に関するものである。第2図において3、4
は単位部材にして、5個の菱形P,Q,R,S,TをX字状に配
置し菱形Rの辺に沿って折り目をつけ、菱形P,Tの両側
辺と菱形Q,Sの頂辺に符号+を、残りの周辺に符号−を
つける。第3図において上記単位部材3、4の菱形P,Q
およびS,Tの側辺を寄せ合わせて接着剤によって接合固
化して中間単位部材5、6を構成し、開口部Mと尖端N
を形成する。第4図は中間単位部材5または6を6個
宛、開口部Mと尖端Nを嵌合して組立、二種のモデル1
または2を形成し嵌合部を接着剤によって接合固化して
完成する。尚、第5図に示すように単位部材3、4の周
辺の内、符号+のついたものに貼り合わせ代の部分Wを
加え、周辺に沿って折り目をつけておけば、周辺におけ
る接合が一層容易となる。単位部材3、4、7および8
には試作用として普通の画用紙がよく、厚紙を使用する
場合は折り曲げやすくするため菱形面の境界に厚さの約
半分の深さの切り込みを入れるとよい。さらに硬質の材
料を使用する場合は菱形P,Q,R,S,Tを個々に裁断し、菱
形の合わせ目の裏側に可撓性の薄布を貼り付けて結合
し、全部を一体化してもよい。この場合貼り合わせ代W
をこの薄布で構成するとよい。この場合、部材5、6の
上下2面および左右または前後2面が各々平行であるこ
とが本発明の特徴である。
(D) Means for solving the problems A means that can be made up of a drawing and its description. If this is explained with reference to the drawing, FIG. 1 is a perspective view of the above two types of models, and FIG. The development view of the unit member of the model constituted by the present invention. FIG. 3 shows an intermediate unit member composed of the above unit members, and FIG. 4 shows a plan view of a completed model composed of the intermediate unit members. Among them, the figure (a) relates to a polyhedron having only convex pyramids, and the figure (b) relates to a polyhedron having uneven pyramids. 2, 3 and 4 in FIG.
Is a unit member and five rhombuses P, Q, R, S, T are arranged in an X shape, and creases are made along the sides of the rhombus R. A symbol + is attached to the top side and a symbol − is attached to the remaining periphery. In FIG. 3, rhombus P and Q of the unit members 3 and 4 described above.
And the side edges of S and T are brought together and solidified by an adhesive to form the intermediate unit members 5 and 6, and the opening M and the tip N are formed.
To form. FIG. 4 shows six intermediate unit members 5 or 6, and the opening M and the tip N are fitted together to assemble the two types of model 1.
Alternatively, 2 is formed and the fitting portion is bonded and solidified with an adhesive to complete the process. In addition, as shown in FIG. 5, among the peripheries of the unit members 3 and 4, by adding a portion W of the bonding margin to the one with the symbol + and making a crease along the perimeter, the joining in the peripheries is performed. It will be easier. Unit members 3, 4, 7 and 8
Ordinary drawing paper is good as a prototype, and when using thick paper, it is advisable to make a cut with a depth of about half the thickness at the boundary of the rhombus to facilitate bending. When using a harder material, rhombus P, Q, R, S, T are cut individually, a flexible thin cloth is pasted and bonded on the back side of the rhombus seam, and all are integrated. Good. In this case, the bonding cost W
Should be made of this thin cloth. In this case, it is a feature of the present invention that the upper and lower two surfaces and the left and right or front and rear two surfaces of the members 5 and 6 are parallel to each other.

(ホ)発明の効果 本発明においては、構成する中間単位部材5、6の形成
が簡単で接合部が2個所のため正確な形状に作りやす
く、これを6個宛、嵌合して組立る場合、部材5、6の
中央に介在する菱形面Rが立方体に内接する位置にある
ので、これを目安とすれば作りやすい。従って、経験が
ない者も、見本や治具なしで作ることができ、また出来
上ったモデルは形状が正確であるから、前記特許出願番
号62−024007明細書記載の菱形三十面体の空間充填を完
全に行うことができ実際にモデルを手にとって見ると図
面や写真から得た感じと別なものが得られる。
(E) Effect of the Invention In the present invention, the intermediate unit members 5 and 6 to be formed are easy to form, and since there are two joints, it is easy to form an accurate shape. In this case, since the diamond-shaped surface R interposed in the center of the members 5 and 6 is located at the position inscribed in the cube, it is easy to make it with this as a guide. Therefore, even an inexperienced person can make it without a sample or a jig, and since the completed model has an accurate shape, the space of the rhomboidal trihedron described in the above-mentioned patent application No. 62-024007 is described. The filling is complete and when you actually look at the model, you get something different from what you get from the drawings and photos.

【図面の簡単な説明】[Brief description of drawings]

第1図は菱形三十面体のモデルの斜視図、第2図は本発
明によるモデルの単位部材の展開図、第3図は上記単位
部材によって構成した中間単位部材、第4図は中間単位
部材によって構成した完成モデルの平面図、第5図は上
記単位部材の周辺に貼り合わせ代を加えたものの展開図
である。尚、(a)は凸の角錐のみを有する多面体、
(b)は凹凸両角錐を有する多面体に関することを示
す。 符号の説明 1、2……完成したモデル 3、4……モデルの単位部材 5、6……モデルの中間単位部材 7、8……単位部材3、4の辺部に貼り合わせ代を加え
た単位部材の他の例 P,Q,R,S,T……菱形面 M……中間単位部材の5、6の開口部 N……中間単位部材の5、6の尖端 W……単位部材3、4の周辺に加えた貼り合わせ代
FIG. 1 is a perspective view of a model of a rhomboidal trihedron, FIG. 2 is a development view of a unit member of the model according to the present invention, FIG. 3 is an intermediate unit member constituted by the above unit members, and FIG. 4 is an intermediate unit member. FIG. 5 is a plan view of a completed model constituted by the above, and FIG. 5 is a development view of the above-mentioned unit member with a bonding margin added. Incidentally, (a) is a polyhedron having only convex pyramids,
(B) shows that it relates to a polyhedron having uneven pyramids. Explanation of symbols 1, 2 ... completed model 3, 4 ... model unit member 5, 6 ... model intermediate unit member 7, 8 ... unit members 3, 4 with a bonding margin added to the sides Other examples of unit members P, Q, R, S, T ... Rhombic surface M ... 5 and 6 openings of intermediate unit member N ... 5 and 6 tips of intermediate unit member W ... Unit member 3 Bonding margin added around 4

Claims (4)

【特許請求の範囲】[Claims] 【請求項1】菱形三十面体のサーフィスモデルを構成す
るにあたり、対角線の長さの比が の菱形面を5個組合せて構成した同じ形状の単位部材を
少なくとも複数個使用したことを特徴とする菱形三十面
体のサーフィスモデル。
1. When constructing a surface model of a rhomboidal trihedron, the ratio of the lengths of the diagonal lines is A rhomboidal trihedral surface model using at least a plurality of unit members of the same shape configured by combining five rhomboid surfaces.
【請求項2】上記菱形面の1個を中央に、その外周に4
個を配設したX字形の単位部材を使用したことを特徴と
する特許請求範囲第1項記載の菱形三十面体のサーフィ
スモデル。
2. One of the rhombic planes is located at the center and 4 at the outer periphery.
A rhomboidal trihedral surface model according to claim 1, characterized in that an X-shaped unit member having a plurality of pieces is used.
【請求項3】上記中央の菱形面を挟んで対向する2個の
菱形面の両側辺と残り2個の菱形面の頂辺に貼り合せ代
を加えて単位部材としたことを特徴とする特許請求の範
囲第1および2項記載の菱形三十面体のサーフィスモデ
ル。
3. A unit member in which a bonding margin is added to both side edges of two rhombic surfaces facing each other with the central rhombic surface sandwiched therebetween and the top edges of the remaining two rhombic surfaces to form a unit member. A surface model of a rhomboidal trihedron according to claims 1 and 2.
【請求項4】上記単位部材の側辺を貼り合わせて2個の
三角錐を有する中間単位部材を構成したことを特徴とす
る特許請求の範囲第1、2および3項記載の菱形三十面
体のサーフィスモデル。
4. A rhomboidal trihedron according to claims 1, 2 and 3, characterized in that the side edges of the unit members are bonded together to form an intermediate unit member having two triangular pyramids. Surface model.
JP7098587A 1987-03-24 1987-03-24 Rhomboidal trihedral surface model Expired - Lifetime JPH0778669B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP7098587A JPH0778669B2 (en) 1987-03-24 1987-03-24 Rhomboidal trihedral surface model

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP7098587A JPH0778669B2 (en) 1987-03-24 1987-03-24 Rhomboidal trihedral surface model

Publications (2)

Publication Number Publication Date
JPS63235978A JPS63235978A (en) 1988-09-30
JPH0778669B2 true JPH0778669B2 (en) 1995-08-23

Family

ID=13447331

Family Applications (1)

Application Number Title Priority Date Filing Date
JP7098587A Expired - Lifetime JPH0778669B2 (en) 1987-03-24 1987-03-24 Rhomboidal trihedral surface model

Country Status (1)

Country Link
JP (1) JPH0778669B2 (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2790247B2 (en) * 1994-03-19 1998-08-27 正三 石原 Crystal structure model

Also Published As

Publication number Publication date
JPS63235978A (en) 1988-09-30

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