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Á¤½ÊÀ̸éü(Regular dodecahedron)¿¡ ³»Á¢(inscribe)ÇÏ´Â ±¸ÀÇ ¹ÝÁö¸§

ÀÛ¼ºÀÚ Uploader : atom ÀÛ¼ºÀÏ Upload Date: 2018-06-26º¯°æÀÏ Update Date: 2018-06-26Á¶È¸¼ö View : 430

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If the edge length of a regular dodecahedron is a, the radius of a inscribed sphere (tangent to each of the regular dodecahedron¡Çs faces) is

ri = (a/2)*( (5/2) + (11/10)*(5)^(1/2))^(1/2) ¡Ö 1.113516364*a

À§ ¼ö½ÄÀº Ȳ±Ýºñ¸¦ ÀÌ¿ëÇÏ¿© ´ÙÀ½°ú °°ÀÌ Ç¥ÇöÇÒ ¼ö ÀÖ´Ù.

ri = (a*¥Õ^2) / (2*(3-¥Õ)^(1/2))

¥Õ : Golden ratio

*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Regular_dodecahedron
ri = (a/2)*( (5/2) + (11/10)*(5)^(1/2))^(1/2)
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