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<blockquote data-quote="devilish" data-source="post: 2038397" data-attributes="member: 17552">Hi all,My google-fu and geometry is in serious decline today. I'd like to create rooms for a dungeon shaped like various geometric figures - 20 sided, 30 sided, 100- or 120-sided.First off, how do you know what shape each facet would be?(for instance, why is a d20 facet a triangle while a d12 is apentagon?)Second, if I know the shape of the facet and give it a number(say a d20 facet is 10' on each side ) what would the diameterof the shape be?&nbsp; Please provide generic formulae (not just &quot;here it isfor d20, and d100 &quot;) as I need to create a whole bunch of roomsof various shapes.Many thanks in advance!-DPS For the inevitable &quot;Why the heck does it matter?&nbsp; Just tell your playersit's 100 feet wide - they're not going to pull out calculators and check you!&quot; :I'm planning on submitting this for publication someday so *someone* will check mymath later.&nbsp; Thanks!</blockquote>

[QUOTE="devilish, post: 2038397, member: 17552"] Hi all, My google-fu and geometry is in serious decline today. I'd like to create rooms for a dungeon shaped like various geometric figures - 20 sided, 30 sided, 100- or 120-sided. First off, how do you know what shape each facet would be? (for instance, why is a d20 facet a triangle while a d12 is a pentagon?) Second, if I know the shape of the facet and give it a number (say a d20 facet is 10' on each side ) what would the diameter of the shape be? Please provide generic formulae (not just "here it is for d20, and d100 ") as I need to create a whole bunch of rooms of various shapes. Many thanks in advance! -D PS For the inevitable "Why the heck does it matter? Just tell your players it's 100 feet wide - they're not going to pull out calculators and check you!" : I'm planning on submitting this for publication someday so *someone* will check my math later. Thanks! [/QUOTE]

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