Learning and geometry
Honeybee cells (why hexagons)
Honeycomb cells: for a given area the hexagon has the shortest wall of any shape that tiles
This drawing comes from one YAML file. No shape was moved by hand.
Notes in the source (in Japanese)
同じ面積を囲むのに、六角形は壁がいちばん短い。 だから六角。
正三角形 4.56/正方形 4.00/正六角形 3.72(面積 1 のときの周)。円は 3.54 とさらに短いが(2√π = 3.5449)、円は隙間なく並ばない ——隙間なく並ぶ形の中では六角が最短。
壁は 2 つの房で共用し、裏と表の房底は食い違って噛み合う。口は水平からやや上向き(約 13°)で、蜜がこぼれない。出典(2026-10-02 確認):K. von Frisch "Animal Architecture"(1974)を引く en.wikipedia「Honeycomb」(9〜14° とする記述もある)。③ の断面は巣脾を寝かせて描いた模式で、傾きは描いていない。巣脾 1 枚の房数(片面 約 3,400/2,100〜2,200)、働き蜂房の口径 5.2〜5.4mm、雄蜂房の口径は、一次資料で確かめていない(目安として置いた)。
Source (YAML)
examples/gallery/198-ミツバチの巣房.zumen.yaml
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