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VonGklugelstein Alter
Bedah Profeshinal Tekstur
Join date: 22 Dec 2007
Posts: 808
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05-27-2008 17:25
Does anybody know of a formula that can be used to translate the Prim Taper to a Angular Value?
maybe a chart.. >? haha
to be exact I am building a pentagon shape where the corners have to be perfectly mitered. What would the exact taper be for a 0.5M thick wall?
thanks
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Drongle McMahon
Older than he looks
Join date: 22 Jun 2007
Posts: 494
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05-27-2008 18:22
Assuming that your wall thickness is the x dimension and the y dimension is the outside length; further assuming how the taper is calculated (fractional size of the tapered edge); then I think you will find that taper = 1 - 2*x*tan(36 degrees)/y. Which is 1- 1.453(x/y). (Note that this means x < 0.6882 * y, at which point the taper is 1.00). That having been said, I can't see why you would want bto mitre the corners. If you leave the edges square and match the outer edges exactly, the inner edges will intersect exactly where the perfect mitre would put them!
...if your wall is 10m wide and 0.5m thick, this gives 1-1.453/20 = 0.927. For other values (w is the outside wall width) ....
w....!doh .......taper
--....----------------
1.....0.273.....0.727
2.....0.637.....0.363
3.....0.758.....0.242
4.....0.818.....0.182
5.....0.855.....0.145
6.....0.879.....0.121
7.....0.896.....0.104
8.....0.909.....0.091
9.....0.919.....0.081
10...0.927.....0.073
Whoops! ... forgot which way round taper was ... third column!
Disclaimer. There is no reason to believe these figures are correct. The user takes his own risk in using them.
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VonGklugelstein Alter
Bedah Profeshinal Tekstur
Join date: 22 Dec 2007
Posts: 808
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05-28-2008 12:09
Thank you very much for taking the time to put together this very detailed answer !
you da man!
\m/
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Ceera Murakami
Texture Artist / Builder
Join date: 9 Sep 2005
Posts: 7,750
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05-28-2008 13:57
One very good reason for actually mitering the corners like that is if the top edges of the wall can be seen. For example, if you were making a planter that had 5 sides, and you don't want textures flickering at the cornres, you have to do a real mitre.
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Drongle McMahon
Older than he looks
Join date: 22 Jun 2007
Posts: 494
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05-28-2008 17:25
From: Ceera Murakami One very good reason for actually mitering the corners like that is if the top edges of the wall can be seen. For example, if you were making a planter that had 5 sides, and you don't want textures flickering at the cornres, you have to do a real mitre. Oh yes. You are right. I withdraw my comment. |