Please reflect upon "Gyro-Lattice 1 - Arrows" at puzzle 6061.

The rotations available are: - [V] vertical [red] - [H] horizontal [magenta] - [R] right-down diagonal [green] - [L] left-down diagonal [salmon] The assigned operations programmed for this are:

V ±: +/- 1    H ±: ×/÷ 2     R ±: x2/√    L ±: ceil/floor  

("+" represents the high value, ie, V+ = +1; V- = -1).

Using this syntax how can you arrive at each output from the given input value?
Use values like H+, V-, L+ to fill in my table.
Oh, for each assigned task each operation (with a corresponding "±" value) is required.

In the first row we get:

 100 Op1[√] 10  Op2[+1] 11  Op3[*2] 22 Op4[floor] 22
 100  R-    10   V+     11   H+     22  L-        22

There will be more than one route to a destination.

	In	Op1	Op2	Op3	Op4	Out		In	Op1	Op2	Op3	Op4	Out
	100	R-	V+	H+	L-	22		7					4
	100					19		7					3
	100					14		47					9.592..
	100					4999		47					15
	100					6		47					1152

(In reply to computer solutions by Charlie)

Tristan presented "Button Puzzle (2)",
Gamer had "Lights Out",
and
Brian Smith gave us "Broken Lights Out".

Tristan had indicated at the time that he had written a javascript program to perform his requirement.  Gamer and Brian Smith had indicated that they owned a wired device.

In the "Gyro Lattice" series I considered how a "calculator" device might be variously programmed to carry out a range of tasks.  I considered the four framed lattice, with gyroscopic properties, as the foundation upon which I could base my rules for:
Gyro Lattice 1 - Arrows,
Gyro Lattice 2 - Threes
and
Gyro Lattice 3 - Values. 
At the same time I have a feeling that the definitions allowed by this "device" could be used to solve the three cited problems, if we had the program.

While I accept that the "lattice" may not have been perceived relevant to any one particular problem, I feel justified in binding them altogether with that relationship. 

Oh!  I'm anticipating another that should give this concept some realism.

Posted by brianjn on 2008-06-27 09:28:39