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- May 01 Wed 2024 15:22
具有二維原子位準晶體模型的無限數量的周期性十邊形平鋪
- Apr 04 Thu 2024 14:00
Unlimited number of periodic decagonal tiling and simplest four way symmetrical tile. (2D-crystal)
Unlimited number of periodic decagonal tiling (2D-crystal)
The fat and thin rhombus tiles with different acute angles of 36 and 72 degrees can combine to form six different decagonal tiles, of different inner structures, Each decagons composed of ten rhombuses , five thin rhombus and five fat rhombus , where a, b, c, d, e, f, are marked for six different decagons respectively in Figure 1. For the fat rhombus in the decagons of type-a, type-d, type-e and type-f are highlighted in red, purple red, yellow, and light blue, respectively. These six decagons which can be regarded (considered) as basic unit, instead of two types of rhombuses, to fabricate (infinity) tiles in this paper. And be noted that only type-a decagonal tile is five-fold symmetric and the rest decagons are only mirror symmetric.
- Mar 27 Wed 2024 10:29
different unit cells in one periodic decagonal crystals, QC design cykung
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- Mar 04 Mon 2024 16:04
unlimited periodic decagonal 2-D crystals cykung
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- Feb 17 Sat 2024 18:36
All Decagonal penrose tiling 所有十邊形彭羅斯瓷磚平鋪 cykung
- Feb 16 Fri 2024 12:09
The five-fold symmetrical tile that can be self-coupled to build up a five-fold tiling,periodic and four-way symmetry tiles (crystals) to infinity
The five-fold symmetrical tile that can be self-coupled to build up a five-fold tiling,periodic and four-way symmetry tiles (crystals) to infinity
- Feb 15 Thu 2024 09:08
Some smaller unit cells that form different decagonal two-dimensional crystals
Some smaller unit cells that form different decagonal two-dimensional crystals
Four unit cells that intercepted from a translational decagonal style crystal and form four different crystals.
- Dec 04 Mon 2023 20:07
Tessellation of unlimited equilateral rhombuses ..
Tessellation of unlimited equilateral rhombuses
If the acute angle of a rhombus is 90/N degrees, and N is an integer, then there can be N equilateral rhombuses whose acute angles are integer multiples of 90/N respectively. A standard drawing method with numerous variables, in which N equilateral rhombus can be tessellated into an infinite number of groups (kinds) of combinations of infinite pattern. There are four general rules of drawing, which are described hereafter.
- Oct 20 Fri 2023 11:51
tellation of three triangle
- Oct 15 Sun 2023 16:02
asymmetry Penrose binary tiling 不對稱彭羅斯平鋪 cykung
asymmetry Penrose binary tiling 不對稱彭羅斯平鋪
1 one may start from any conventionally defined five-fold symmtry (around a specific center, center of blue star,)or on-five fold symmerric penrose tile , either pentagonal or circular shape.as shown in fig 1