Il 03 maggio 2025 alle 13:59 Sho Sengoku ha scritto: > Takeuch-san (nickname "kinchan") maintains a Japanese backgammon study site > at https://old.kinchan.com/ where we can still see some Equity Difference > Histograms he generated using my script. The histogram compares two > positions, A and B, where A represents the superior play compared to B. It > lists all 36 possible dice rolls (instead of 21) and compares the equities > after the best play for each roll. For example, to compare A and B after the > best play of the roll {1, 6}, it computes the Equity Difference as: (equity > of B after the best play of {1,6}) - (equity of A after the best play of > {1,6}). > > https://www.kinchan.com/cgi-bin/yybbs.cgi?list=pickup&action=past&log=0032&num=9949#9949
What a nice visualisation! Thanks for sharing > The main benefit of the Equity Difference Histogram is that it provides a > clearer visual representation of the cost associated with different dice > rolls between two plays, especially in situations where temperature maps may > not fully illustrate the impact of specific rolls. For example, in the > attached image, it's difficult to immediately assess the cost of being hit on > the Blue's blot on the 16pt (White's 9pt) using only the Temperature Map, as > the hot/cold spots of positions A and B are largely exclusive. However, the > Histogram makes it visually clear that any White roll involving a 1, > particularly those that would cover White's inner blots, would be highly > detrimental to Blue. This allows for a more intuitive understanding of the > critical rolls in a given position. Indeed, fantastic graph! —F
