Shey-lhiattaghan

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Gow gys: stiureydys, ronsee
My ta sym ayd ayns keeall elley yn 'ockle shoh, lhaih Shey-lhiattaghan (reddaghey).
Shey-lhiattaghan cadjin
Regular hexagon.svg
Shey-lhiattaghan cadjin, {6}
Oirryn as mullee 6
Cowraghyn Schläfli {6}
t{3}
Diagramyn Coxeter-Dynkin CDW ring.svgCDW 6.pngCDW dot.svg
CDW ring.svgCDW 3.pngCDW ring.svg
Possan shimmeadraght Daa-heedragh (D6)
Eaghtyr
(lesh t=lhiurid yn oirr)
A = \frac{3 \sqrt{3}}{2}t^2
 \simeq 2.598076211 t^2.
Uillin sthie
(keimyn)
120°
Troyn dronnagh, kiarklagh, co-lhiatteeagh, co-uillinagh, oirr-aistragh

Ayns towse-oaylleeaght, ta'n shey-lhiattaghan ny yl-lhiatteean lesh shey oirryn as shey mullee. She {6} y cowrey Schläfli ta currit er shey-lhiattaghan cadjin.

Shey-lhiattaghan cadjin[reagh]

Ta'n shey-lhiattaghan cadjin so-hroggalagh lesh combaase as reilleyder. Ta'n jalloo shoh taishbyney aght keim-er-cheim er kanys shey-lhiattaghan y chroo, currit liorish Euclid 'sy lioar Elmintyn, Lioar IV, Keisht 15.

Ta ny h-uillinyn sthie jeh shey-lhiattaghan cadjin (raad dy vel co-lhiurid ec dagh çheu) 120° er uillin, as ta 720 keimyn T ec y shey-lhiattaghan. Ta 6 shimmeadraghtyn kiarklagh as 6 shimmeadraghtyn aahoilshagh echey, as ad jannoo seose y possan daa-heedragh D6. Ta ny tessenaneyn s'liurey jeh shey-lhiattaghan cadjin, ta kiangley mullee chondaigagh chrantessenagh, daa cheayrt ny s'liurey na ny h-oirryn. Ayns cosoylaght rish kerrinyn as trooraneyn co-lhiatteeagh, ta shey-lhiattaghanyn kiangley rish y cheilley dys plaaney y çheeley gyn baarnaghyn (ta tree shey-lhiattaghanyn cruinnaghey ec dagh mullagh), as lesh shen t'ad so-ymmydagh son mosaicyn y hroggal. Son yn oyr shen, ta killagyn shelleig jeant seose ayns cummey shey-lhiattagh as er oyr dy vel y cummey oc jannoo ymmyd fondagh jeh reamys as cooid hroggee. She mosaic kere volley jeh shey-lhiattaghanyn y diagram Voronoi jeh cleeah trooraneagh cadjin.

Ta eaghtyr jeh shey-lhiattaghan cadjin lesh liurid oirr t\,\! currit liorish A = \frac{3 \sqrt{3}}{2}t^2 \simeq 2.598076211 t^2.

Myrane lesh shen, foddee eh y gheddyn magh lesh y formley A=ap/2, raad dy vel a yn apothem as p yn ym-linney.

Ta ym-linney y shey-lhiattaghan cadjin lesh liurid oirr t\,\! currit sheese myr 6t\,\!, y crantessen smoo 2t\,\!, as y crantessen sloo t\sqrt{3}\,\!.

Cha nel stooaltane platoanagh ayn ta jeant seose jeh shey-lhiattaghanyn cadjin.


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