Design submitted by Galen from Bulgaria.
Galen says: There are many designs of watches that use binary numeral system to represent time. I wanted to use a different numeral system which looks cryptic and in the same time needs less calculation then binary.
After a while I came up with an idea of a watch that uses balanced ternary system. As it suggested by its name, this system uses powers of 3: 0, 3, 9, 27 etc., but unlike normal numeral systems it does not use for coefficients non-negative numbers 0, 1, 2, n-1 (n being the base), but instead uses -1, 0 and 1. So, 0 is 0, 1 is 1, 3, is 3, 9 is 9.
What about 2? 2 is 3-1, or 1*3^1 + (-1)*3^0.
4 is 3 + 1, or 1*3^1 + 1*3^0.
5 is 9 – 3 – 1, or 1*3 ^2 + (-1)*3^1 + (-1)*3^0
I decided to use the 12:5:9 format and started my design with three rows: one for the hours 1-12, one for the tens of minutes and one for the single minutes. Each row had numbers 9, 3 and 1, drawn with a blocky font, in white, black or contour (for coefficients 1, 0 and -1).
Then I realized that there are 3 rows and 3 columns and after I draw a 3×3 grid, I decided to use the Tic-tac-toe game symbols and layout to indicate time. The coefficients -1, 0, 1 were replaced with symbols X, [empty symbol] and O.
The right-hand column represents 1 (3^0), the middle one- 3 (3^1) and the left-hand one- 9 (3^2). If there is an O, this means that the column value (1, 3, or 9) is added. If there is a X – we subtract it (always 1, 3 or both – we don’t need to subtract 9 for our purpose of displaying time in 12:5:9 format). If the cell is empty – nothing is added / subtracted.
The first raw represents the hours 1-12 or month 1-12
The second row indicates the tens of minutes / tens of days.
The third raw tells the single minutes / days.
In the upper left corner there are two squares indicating the current mode: am, pm, date or game mode.
I suppose that this watch can be realized with an e-ink or LCD display. I don’t think a touch screen is needed, because even in game mode the two buttons of the watch can be used to navigate/set the board.
For the body and strap of the watch I used glossy plastic with simple forms that communicate the main topic – the tic-tic-toe grid.