Round Down Timing

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    Keywords: Rules, Tournament

Definition

Round Down Timing is the time system where

  • one gets several time periods of same size,
  • after each N-th move time used for the last N moves only deducts as many periods as fit into this time (possibly none),
  • and counting seconds is done when one's number of periods is equal or less than a certain number.

Diagram

 |---------|        time for N moves
 |---|---|---|---|  periods before
         |---|---|  periods after

Remarks

This system generalizes

With only a plain clock, Round Down has to be emulated -- see below.


Emulation

The player gets

  • one period,
  • N stones,
  • and P - 1 coins (P periods in all).

If the player runs out of time and has no coin:

  • the player loses on time.

If the player runs out of time with at least one coin:

  • the opponent stops both clocks,
  • the player pays one coin,
  • the opponent puts one period on the player's clock,
  • they check,
  • and the opponent starts the player's clock again.

If the player runs out of stones:

  • the player stops both clocks,
  • the opponent puts one period on the player's clock,
  • the player counts out N stones,
  • they check,
  • and the player starts the opponent's clock.

Example

3 moves ("stones") in 3 minutes, 2 periods ("lifes").

   #   Lifes  Time  Stones  Used
   -----------------------------
   1     1    3:00    3     0:20
   2     1    2:40    2     0:50
   3     1    1:50    1     0:50
   4     1    3:00    3     1:10
   5a    1    1:50    2     1:50
   5b    0    3:00    2     1:40
   6     0    1:20    1     0:30
   7     0    3:00    3     3:00
   8     0    0:00          lost

(The second life was on the clock.)


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This is a copy of the living page "Round Down Timing" at Sensei's Library.
(OC) 2005 the Authors, published under the OpenContent License V1.0.
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