Equity Temperature Map: Introduction

Created by Sho Sengoku, 2001

Score   : 2 away   : 5 away
	Suppose you (as ) are pondering what move to make with this position.

After 22/16 6/1*
	The move 22/16 6/1* is definitely a candidate, but you may wonder how much equity will you get after each possible 's roll. You input this position in Snowie and use the "Dice Panel" (see the picture below) to see equity after each 's roll.

Using Snowie's Dice Panel

Snowie's Dice Panel, after 3-ply analysis

Cliking the button placed at the bottom right of the Dice Panel displays 1-ply equities for all 21 (for 15 non-doubles and 6 doubles) possible opponent's numbers in the panel area.

In order to have Snowie to analyze all the 21 cases at 3-ply for more trust worthy results, select all lines in the Dice Panel and click the button at the right side of the panel.

Here's the readout of the Dice Panel.

Roll #	Equity value from 's point of view (Snowie's output)	Equity value from 's point of view
11	0.451	-0.451
44	0.145	-0.145
61	0.074	-0.074
41	0.067	-0.067
21	0.051	-0.051
31	0.012	-0.012
33	-0.045	0.045
51	-0.070	0.070
32	-0.111	0.111
64	-0.154	0.154
43	-0.202	0.202
42	-0.262	0.262
63	-0.276	0.276
53	-0.277	0.277
54	-0.290	0.290
55	-0.511	0.511
65	-0.511	0.511
66	-0.511	0.511
62	-0.511	0.511
22	-0.511	0.511
52	-0.511	0.511

Equity Temperature Map

Just reading out the Dice Panel doesn't give you much insight of the position unless you look into it very closely.

Soring those values out into a dice table may help you see the character of the position. Let's see ...

	-0.451	-0.051	-0.012	-0.067	0.070	-0.074
	-0.051	0.511	0.111	0.262	0.511	0.511
	-0.012	0.111	0.045	0.202	0.277	0.276
	-0.067	0.262	0.202	-0.145	0.290	0.154
	0.070	0.511	0.277	0.290	0.511	0.511
	-0.074	0.511	0.276	0.154	0.511	0.511

The dice table method really is easier to see the whole picture of the position than just simple list of equity vlues, but still it is not very intuitive. Something can be done to make the table more intuitive or more visual, so it is much easier for us to see the characteristics of the position.

And, here's my answer for that "Something". I converted those equity numbers into color, from while to red. The stronger red, the stronger or the hotter your position ('s position) is. The whiter, the weaker or the colder your position is. Look:

Temp. Map ( 0.192 )

Temperature Gauge

-0.476 0.511

I named this colored dice table method "Temperature Map", as an (forced?) analogy of temperature map in a weather forecast.

See:	Other articles by Sho Sengoku Other articles on Tactics

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