三十球串珠模型製作程序
三十球串珠模型製作指南 - 中英文對照版
此指南將幫助您製作一個由30顆珠子組成的十二面體結構模型，這種結構在數學上稱為截半十二面體(Icosidodecahedron)。
中文版製作步驟
1 串入5顆珠子。
2 取右線，以相反方向穿過最遠的珠子，然後拉緊線。這形成第一個五邊形(1)，調整使其置中。
3 在左線上添加4顆珠子。
4 取對面的線，以相反方向穿過最遠的珠子，然後拉緊線。這形成第二個五邊形(2)。前兩個環看起來像一個"8"字形，因此這種兩個線頭並用的串珠法成為「八字編」。
5 為了使下一個五邊形與現有環融合，一個線頭必須從相鄰環串過去。因此，在五邊形連接處將線穿過最近的五邊形珠子以形成"V"形 - 這稱為"釣魚"（或是過洞），此線稱為釣魚線（或是過洞線，以灰色標記）。請注意，在下一步中，您將始終在另一條線頭（非釣魚線）上添加珠子 - 這允許任意的富勒烯的串珠過程根據螺旋碼對稱生長，並簡化串珠過程。
6 在非釣魚線上添加三顆珠子。取另一條線，以相反方向穿過最遠的珠子，然後拉緊線。這形成一個五邊形(3)。
7 進行釣魚，在非釣魚線上添加三顆珠子。
8 取另一條線，以相反方向穿過最遠的珠子，然後拉緊線。這形成一個五邊形(4)。
9 重複步驟7和8以製作第四個五邊形(5)。請注意，釣魚線和非釣魚線將始終交替，左右兩條線的長度應同等減少。
10 進行兩次釣魚，在非釣魚線上添加兩顆珠子。
11 取另一條線，以相反方向穿過最遠的珠子，拉緊線並進行釣魚。這形成一個五邊形(6)並完成第一組五邊形。此結構是半球體。
12 在非釣魚線上添加3顆珠子。取另一條線，以相反方向穿過最遠的珠子，然後拉緊線。這形成第七個五邊形(7)。
13 進行釣魚（根據需要穿過一顆、兩顆或三顆珠子），並圍繞原始五邊形完成其餘六個五邊形(7至12)，以完成整個結構。
14 將一條線圍繞五邊形釣到一個共同的頂點，並打結。再次將線穿過一些珠子以隱藏結點。使用剩餘的線懸掛您的模型，或將線剪平以獲得沒有線頭的模型。
Original English Instructions
1 String 5 beads in the middle of the line.
2 Take the right line and insert it through the furthest bead in the opposite direction and pull the lines tight. This makes a pentagon (1).
3 Add 4 beads on the left line.
4 Take the opposite line and insert it through the furthest bead in the opposite direction and pull the lines tight. This makes the second pentagon (2). The first two loops look like a figure eight.
5 In order for the next pentagon to be fused with the existing rings, the line must exit from neighboring rings. Therefore, insert the line at the pentagon junction through the closest pentagon bead in order to make a ‘V’ shape - this is called fishing and this line is denoted as the fishing line (highlighted in grey). Note that you will always add beads to the other line (non-fishing line) in the following step - This allows for the symmetric growth of the fullerene according to the spiral code and simplifies the beading process.
6 Add three beads on the non-fishing line. Take the other line and insert it through the furthest bead in the opposite direction and pull the lines tight. This makes a pentagon (3).
7 Go fishing and add three beads on the non-fishing line.
8 Take the other line and insert it through the furthest bead in the opposite direction and pull the lines tight. This makes a pentagon (4).
9 Repeat steps 7 & 8 to make the fourth pentagon (5). Notice that the fishing and non-fishing lines will always alternate and both lines should decrease in length equally.
10 Go fishing twice and add two beads on the non-fishing line.
11 Take the other line and insert it through the furthest bead in the opposite direction and pull the lines tight and go fishing. This makes a pentagon (6) and completes the first set of pentagons. This structure is the hemisphere.
12 Add 3 beads on the non-fishing line. Take the other line and insert it through the furthest bead in the opposite direction and pull the lines tight. This makes a seventh pentagon (7).
13 Go fishing (through one, two or three beads, as necessary) and complete the remaining six pentagons around the original pentagon (7 to 12) to complete the whole structure.
14 Fish one line around the pentagon to a common vertex and tie a knot. Fish the lines again through some beads to hide the knot. Use the remaining line to hang your model or cut the lines flush to obtain a free model.
關於此模型
使用珠子創建三維物體在東方國家已有數世紀的歷史。大多數3D物體的製作技術是八字編（Hachi-Ami）或稱為直角編織法，這裡我們採用此技術製作30個小珠子組成的模型，通過這些珠子長尼龍線以完全相同的方式連接。
完成的三十球模型在數學上稱為截半十二面體(Icosidodecahedron)，是由12個五邊形和20個三角形組成的阿基米德立體。
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