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Packing attack plan about efmath HOT 2 OPEN

tabatkins avatar tabatkins commented on June 12, 2024
Packing attack plan

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tabatkins avatar tabatkins commented on June 12, 2024

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diagram "s1" {
	background square="1"
	square x=.5 y=.5
}
diagram "s2" {
	background square="2"
	square x=.5 y=1.5
	square x=1.5 y=1.5
}
...

square nodes can also have a rotate attribute giving an angle. Probably a color too, since some examples have more than just the gray.

When we get to the non-trivial container shapes (like circle-in-L or whatever) the background node can have a path attribute instead.

We auto-calculate the canvas size based on the background and set up the viewport automatically.

from efmath.

tabatkins avatar tabatkins commented on June 12, 2024

Got a response from Erich on the details of some of the odder square placements:

let's start with squares in squares. the easy ones are the ones where all the tilted squares are 45 degrees. i'm sure you can figure out those on your own. that handles n=5, 10, 26, 27, 28, 38, 40, 52, 65, 66, 67, 82, 83, 84, 87, 89.

the next hard one is n=11. the 5 tilted squares are rotated 40.182 degrees and have corners (2.02,.985), (1.34,1.72), (2.68,1.73), (2.00,2.465), and (3.23,.85). that isn't quite 3 decimal places.

the last one for today is n=17. there are 6 tilted squares rotated .6947 radians, and have corners
(2.4,2.59),(1.67,1.91),(3.09,1.86),(2.36,1.18),(.78,1.27),(1.51,.59)
the last tilted square is rotated .9316 radians and has corner (3.14,.60). only 2 decimal places.

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