If 4x4 is 26 patterns and 5x5 is 412, what is 4x5? When a) the line the line begins by moving in the 4 direction, b) the line begins by moving in the 5 direction?
What would it look like if presented as rectangles 4 wide by 5 high, with the lines starting in the lower right corner with a visible descender, except in those cases where the line happens to end at the top pointing up, where there is a visible ascender instead?
How many patterns in a 4x4 grid if the line need not start in a corner?
5x4 (5 wide, 4 across), beginning by moving in the 5 direction gets 73 patterns; beginning by moving in the 4 direction gets 87. I left the software to do the drawings on the other computer, will try to get them rendered before I flee the country.
Descenders and ascenders sound like an idea; there's also serif potential but I wonder if that might not just look messy.
4x4 starting in arbitrary places gets me 552, but I suspect a lot of those look identical (since the line has no direction to it), and a lot more are rotations or reflections of one another. Basically you can start at 0,0 (52, but they come in pairs depending whether they go to [1,0] or [0,1] first); or at 0,1 (25); or at 1,1 (36)
![[identity profile]](https://www.dreamwidth.org/img/silk/identity/openid.png){kind=small}
![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png)
timeasmymeasure
no subject
Date: 2008-07-29 10:26 pm (UTC)What would it look like if presented as rectangles 4 wide by 5 high, with the lines starting in the lower right corner with a visible descender, except in those cases where the line happens to end at the top pointing up, where there is a visible ascender instead?
How many patterns in a 4x4 grid if the line need not start in a corner?
no subject
Date: 2008-07-29 10:37 pm (UTC)Descenders and ascenders sound like an idea; there's also serif potential but I wonder if that might not just look messy.
4x4 starting in arbitrary places gets me 552, but I suspect a lot of those look identical (since the line has no direction to it), and a lot more are rotations or reflections of one another. Basically you can start at 0,0 (52, but they come in pairs depending whether they go to [1,0] or [0,1] first); or at 0,1 (25); or at 1,1 (36)