Plusminus Die (lefthanded 12mm)

by lukas.suess
Easy readable binary encoded highly symmetric die (small version).
Optimal for printing in sandstone.
Still good for the detail materials.
In steel or glass the fine details might not come out very readable.

This die was designed so that the value representing markings
preserves all the symmetries of the cube-faces
namely one fourfold rotation axis
and four mirror planes per face.
The markings are encoded in binary.
But you don't need to know that to read it!!

Due to the quadruplication and overlapping
of the marks the die is easy and naturally to read for everyone.
Just count all pluses of the whole face and the minuses of only one edge and add them.

If you want to read it in binary and fully understand the system
here is how it works:
You read three bars from the center of one edge.
The bar in the center of one edge counts one (it overlaps exactly with its mirror image).
The bar between the edges center and edges corner counts two.
The bar near the corner counts four (it forms a plus by overlapping with its mirror image).


IN: 0.472 w x 0.472 d x 0.472 h
CM: 1.2 w x 1.2 d x 1.2 h


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Ah, now I see what you mean (No(+) + No(-)/4) You really found a third method to count the die :) First I thought (No(+) + No(-)) / 4 therefore the sequence 1,2,3,1,2,3 above.
April 8, 2011, 4:17 pm
Mmmh... For 5 for example, you have 4 "+" and 4 "-" ,so if I add the number of "+" (4) to the number of "-" divided by 4 (4/4 = 1) I obtain 5. :) Anyways, I look forward seeing you next design!
March 20, 2011, 12:07 pm
Almost but not quite :) If one count's your way one would get 1,2,3,1,2,3 instead of 1,2,3,4,5,6 I've added a graphic to the images above showing the die from all its sides and explaining the two possible counting-methods in a simpler way. About using other symbols you mean: 1 = circle 2 = cross 3 = cross in circle 4 = square 5 = circle in square or vice versa 6 = cross (diagonal or parallel) in square It would be probably be easier to explain but it would definitly be harder to read. (because then no "trivial counting" would be possible) I considered using symbols like you said but abandoned them because I didn't want any round features on this one. Now after some testprints I know that a die with rounded edges rolls much better. So on my next (symmetric) die you will find rounded edges and you might find fitting round features fitting the style.
March 8, 2011, 2:59 pm
I've just understood the counting system (basically add the number of "+" to the number of "-" divided per 4) and the maths behind them (binary numbers): very clever. I like the idea of using original ways to represent numbers on dice. What about using symbols with a "square" symmetry to represent 1, 2 and 4 like circle (1 stroke), cross (2 strokes) and square (4 strokes). Combining them you could obtain a similar result but perhaps easier to explain...
March 8, 2011, 1:12 pm


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