Pixel Joint Forum: Isometric geometry question

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   Greetings, 

I have a question regarding the following. If in isometric pixel art I build a line (NW to SE) which has 25 double-pixel blocks (or 50 pixels long), then how many pixels long will be the same line in a 45 degree turned perspective in both directions (meaning N to S, and W to E)?

Attaching an image in order to make the question more clear. 

Thanks a lot for helping me out.

Author	Message
DeVitus Seaman Joined: 23 November 2010 Online Status: Offline Posts: 10	Topic: Isometric geometry question Posted: 01 June 2011 at 10:09am
	Greetings, I have a question regarding the following. If in isometric pixel art I build a line (NW to SE) which has 25 double-pixel blocks (or 50 pixels long), then how many pixels long will be the same line in a 45 degree turned perspective in both directions (meaning N to S, and W to E)? Attaching an image in order to make the question more clear. Thanks a lot for helping me out.
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DawnBringer Commander Joined: 11 August 2024 Online Status: Offline Posts: 568	Posted: 01 June 2011 at 12:24pm
	I haven't bothered to derive the math...but a quick look at a suitable image seem to indicate that the values are length * √2 and length / √2.
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DeVitus Seaman Joined: 23 November 2010 Online Status: Offline Posts: 10	Posted: 02 June 2011 at 2:48am
	Thanks for the reply, DawnBringer! That info has proven most helpful.
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