the grouping i posted on march 25th was made from the following tile:
this version was developed by adman a couple of weeks ago. it is shifted 25% (from the original centered version) to the right, which now puts the tips of the moon on the left side of the tile. i dont know how he came up with it. not mathematically, more intuitive. but this configuration will allow a single tile to be made and merely rotated into position to complete the full wave pattern. no negative version required. and it cannot be reduced further by quartering it into a scallop or other shape since its no longer symmetrical.
thanks steve. but i think the fatal flaw with the single scallop tile theory is that it is not a 50% black and 50% white tile. if you dont start out with a tile which is 50/50 b and w no way it will make a 50/50 b and w overall pattern. if i follow the self imposed rule that im looking for a single (50% b 50% w) square tile on a square grid pattern (not a running bond or common laid brick grid.) i think it appears adman has nailed it. although i still cant wrap my head around why the 25% (or one quarter) shift left or right makes it work. thats why i put it on the back burner and rushed forward with the scallop discovery. also my use of the terms foreground and background is arbitrary unless there is a rule about either black or white always being described in the fore as there well may be. i guess it just depends how the page is set up. black type on a white screen puts black in the foreground. context baby!
I'm taking partial credit for that tile 'cause I knew it could be achieved with one.
And what about the grout?
i still dont know how it works. the Portuguese seem to use a grey with the mosaics. glad to have your help and support steve.
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this version was developed by adman a couple of weeks ago. it is shifted 25% (from the original centered version) to the right, which now puts the tips of the moon on the left side of the tile. i dont know how he came up with it. not mathematically, more intuitive. but this configuration will allow a single tile to be made and merely rotated into position to complete the full wave pattern. no negative version required. and it cannot be reduced further by quartering it into a scallop or other shape since its no longer symmetrical.
thanks steve. but i think the fatal flaw with the single scallop tile theory is that it is not a 50% black and 50% white tile. if you dont start out with a tile which is 50/50 b and w no way it will make a 50/50 b and w overall pattern. if i follow the self imposed rule that im looking for a single (50% b 50% w) square tile on a square grid pattern (not a running bond or common laid brick grid.) i think it appears adman has nailed it. although i still cant wrap my head around why the 25% (or one quarter) shift left or right makes it work. thats why i put it on the back burner and rushed forward with the scallop discovery. also my use of the terms foreground and background is arbitrary unless there is a rule about either black or white always being described in the fore as there well may be. i guess it just depends how the page is set up. black type on a white screen puts black in the foreground. context baby!
- bill 4-06-2009 2:45 pm
I'm taking partial credit for that tile 'cause I knew it could be achieved with one.
- steve 4-08-2009 9:18 am [add a comment]
And what about the grout?
- steve 4-08-2009 9:20 am [add a comment]
i still dont know how it works. the Portuguese seem to use a grey with the mosaics. glad to have your help and support steve.
- bill 4-08-2009 12:03 pm [add a comment]