{"id":140,"date":"2022-09-19T07:19:27","date_gmt":"2022-09-19T07:19:27","guid":{"rendered":"https:\/\/gammonrants.org\/?page_id=140"},"modified":"2022-10-12T15:10:08","modified_gmt":"2022-10-12T15:10:08","slug":"the-tutortorial-how-to-improve-your-skills-with-the-top-backgammon-apps","status":"publish","type":"page","link":"https:\/\/gammonrants.org\/index.php\/the-tutortorial-how-to-improve-your-skills-with-the-top-backgammon-apps\/","title":{"rendered":"The Tutortorial &#8211; How to improve your skills with the top backgammon apps"},"content":{"rendered":"\n<p><strong>Please note: this page is for beginners who want to improve, not for serious players who know what equities are and how to use them.<\/strong><\/p>\n\n\n\n<p>Some time ago, on Twitter, I suggested to a newbie to use the tutor of True Backgammon to improve his playing strength. And then I realised what a difficult task this will be &#8211; the tutors of True Backgammon, XG Mobile, Backgammon NJ all work by throwing a huge number of numbers at you. And you\u2018re left alone interpreting these numbers.<\/p>\n\n\n\n<p>This is why I\u2018m writing this tutortorial, a tutorial for the usual tutor. I\u2018m using True Backgammon and XG mobile as examples. Probably will add other apps (Backgammon NJ in particular) later.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">A tiny bit of Backgammon terminology and strategy<\/h3>\n\n\n\n<p>It\u2018s hard to talk about how backgammon tutors work without clarifying some basic terms.<\/p>\n\n\n\n<p><strong>Race:&nbsp;<\/strong>Backgammon is a \u201eracing game\u201c: you roll the dice and race your checkers home, your opponent does the same, and who has them home first wins. If you have less points to cover to come home you\u2018re ahead in the race. If not, you\u2018re behind in the race.<\/p>\n\n\n\n<p><strong>Points:<\/strong>&nbsp;a lot of strategy depends on how many checkers you have on a point.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>No checker: both players can still occupy this point.<\/li><li>* one checker: your checker is a&nbsp;<strong>blot<\/strong>&nbsp;that can be&nbsp;<strong>hit<\/strong>&nbsp;by your opponent. If he does, it moves to the BAR point, losing all race value it has gained. A blot can be a good thing you create on purpose: if you want to make a point (see below) you can either be lucky and roll a roll that moves two checkers onto that point. Or you risk&nbsp;<strong>slotting<\/strong>&nbsp;the point, putting a blot there. If the blot isn\u2018t hit you can later add another checker to make the point<\/li><li>* * Two checkers: you have&nbsp;<strong>made that point<\/strong>. Your opponent cannot move there, which may hinder him in the race. As you cannot move a checker away from this point without creating a blot such a point is called&nbsp;<strong>stripped<\/strong>.&nbsp;<\/li><li>* * * three checkers: good to have that &#8211; you can use one of the checkers to move to another point without giving up that point. This gives your game&nbsp;<strong>flexibility<\/strong>.<\/li><li>* * * * four or more checkers: this point is too crowded, you should think moving checkers away because they serve no purpose in hindering your opponent\u2018s race.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Pip Count<\/h3>\n\n\n\n<p>As the race is so important, the first figure you need to know is not actually a tutor feature but something that almost all backgammon apps show you: the pip count.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/78FA9B7A-5942-45E6-A7CC-BE6A64FFEBCD-1024x768.jpeg\" alt=\"\" class=\"wp-image-141\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/78FA9B7A-5942-45E6-A7CC-BE6A64FFEBCD-1024x768.jpeg 1024w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/78FA9B7A-5942-45E6-A7CC-BE6A64FFEBCD-300x225.jpeg 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/78FA9B7A-5942-45E6-A7CC-BE6A64FFEBCD-768x576.jpeg 768w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/78FA9B7A-5942-45E6-A7CC-BE6A64FFEBCD-1536x1151.jpeg 1536w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/78FA9B7A-5942-45E6-A7CC-BE6A64FFEBCD-2048x1535.jpeg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>XG mobile showing pip counts &#8211; mine is 164, the AI\u2019s is 140. I\u2019m 24 points behind in the race.<\/figcaption><\/figure>\n\n\n\n<p>XG and BGNJ always show the pip count. True backgammon doesn\u2018t show the pip count continuously. You have to touch the menu button to see it.&nbsp;<\/p>\n\n\n\n<p>This is a first tutor-ish feature as the player who is ahead in the race has to do nothing but bring his checkers home safely to win. He should play conservatively, not risk leaving blots. The player that is behind in the race needs to risk something to catch up. He wants to hit a blot or block to the opponent so he can\u2018t use a roll and falls back in the race.<\/p>\n\n\n\n<p>Now let\u2019s a look at the actual tutor; here\u2018s a position in which True Backgammon tells me that I\u2018ve made a mistake.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/3C041BA6-FF49-4E57-8096-BE67BD10953C-1024x768.png\" alt=\"\" class=\"wp-image-142\" width=\"840\" height=\"630\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/3C041BA6-FF49-4E57-8096-BE67BD10953C-1024x768.png 1024w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/3C041BA6-FF49-4E57-8096-BE67BD10953C-300x225.png 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/3C041BA6-FF49-4E57-8096-BE67BD10953C-768x576.png 768w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/3C041BA6-FF49-4E57-8096-BE67BD10953C-1536x1151.png 1536w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/3C041BA6-FF49-4E57-8096-BE67BD10953C-2048x1535.png 2048w\" sizes=\"auto, (max-width: 840px) 100vw, 840px\" \/><figcaption>Blue to play 51, not a good roll.<\/figcaption><\/figure>\n\n\n\n<p>I played 24\/23\/18. My reasoning was that red has stripped 17,14, 12 points so if the computer hits me it will weaken its position. &nbsp;Also I have no offensive plan. However, the tutor tells me that I made an \u201emedium mistake\u201c (sorry for the German texts).<\/p>\n\n\n\n<p>Which brings us to the question: when is a mistake medium? When is it a blunder? When a minor mistake? And how do you measure mistakes at all?<\/p>\n\n\n\n<p>This is an important question because as a beginner you might particularly try to understand why your really big mistakes are such really big mistakes, while giving medium or small mistakes a nod and continuing without digging into them.<\/p>\n\n\n\n<p><strong>Suggestion 1: focus on the serious mistakes, blunders first. You learn most from them.<\/strong><\/p>\n\n\n\n<p>All serious backgammon programs use the so-called equity, which is a number typically in the range between -1 and 1. 0 means an even game. 1 means you\u2018re certainly winning a point. -1 wins you\u2018re certainly losing a point. The equity can be any number in between, and you can imagine that it is determined by playing a large number of games from this position:<\/p>\n\n\n\n<p>Suppose, in your position, you let a strong bot continue playing and finish the game for you. If the bot wins for you, you write down 1 point for you. If the bot wins for your opponent, you write down -1 (if you win gammon, you note 2 points etc). &nbsp;Now let\u2018s supposed you do this 10 times and end up with 1, 1, -1, 1, -1, -1, 1, -1, -1, -1. Then you can estimate the equity of your position as 1+1-1+1-1-1+1-1-1-1 = -4\/10 = -0.4. And as you know that single games go from -1 to 1 you can conclude you are quite a bit worse off.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Race vs equity<\/h3>\n\n\n\n<p>Maybe you\u2018re rightfully confused now: first I wrote that the race shows who is leading, now I write that the equity shows who\u2018s winning. It\u2018s important that both factors count. Have a look at this position.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DCD90424-39E1-4C2F-9F3F-68E02E7BA716-1024x768.png\" alt=\"\" class=\"wp-image-145\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DCD90424-39E1-4C2F-9F3F-68E02E7BA716-1024x768.png 1024w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DCD90424-39E1-4C2F-9F3F-68E02E7BA716-300x225.png 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DCD90424-39E1-4C2F-9F3F-68E02E7BA716-768x576.png 768w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DCD90424-39E1-4C2F-9F3F-68E02E7BA716-1536x1151.png 1536w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DCD90424-39E1-4C2F-9F3F-68E02E7BA716-2048x1535.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>A position where pip count and equity tell vastly different stories (XG mobile)<\/figcaption><\/figure>\n\n\n\n<p>Here, white has still 135 pips to go, while blue is almost home with only 43 pips remaining. But if you take a look at XG\u2018s evaluation, you see that white is clearly winning &#8211; the equity is 1.013 which means something like \u201ewins for sure, with a small gammon chance\u201c. Why? Because blue can be far ahead, but he won\u2018t ever get his lone checker on 1 over these six consecutive points blocked by white. White will now continue by slotting and then making the 3 point, the 2 point, the 1 point, and blue can only wait for a very lucky 66 when white starts bearing off.&nbsp;<\/p>\n\n\n\n<p>So the pip count is often a good first approximation of who\u2018s winning, but the equity is the real thing.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The value of a move is how it affects your equity<\/h3>\n\n\n\n<p>If you know the equity of a postiion you can determine the position\u2019s equity before and after different moves. Let\u2018s take our position with equity -0.4. Assume our superhumanly playing bot would play move A, which changes the equity to -0.3, while it estimates the position after your move with an equity of -0.6.<\/p>\n\n\n\n<p>This means the best move in this position would win you 0.1 points of equity (one tenth of a single game), while your move lost 0.2 points of equity. Your move is 0.3 points of equity worse than the best one (which is a big blunder). And this is exactly what backgammon tutors will show you, along with more figures.<\/p>\n\n\n\n<p>Let\u2018s examine the True BG tutor for my medium mistake.<\/p>\n\n\n\n<p>True BG stays silent as long as your moves are good. If it believes you made a mistake it will show you a line at the bottom, moving the board up a tiny bit. Hit \u201edetails\u201c for the actual tutor.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/4D68EAB4-FCD1-4262-8BFF-DBFDC1FE9990-1024x768.jpeg\" alt=\"\" class=\"wp-image-146\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/4D68EAB4-FCD1-4262-8BFF-DBFDC1FE9990-1024x768.jpeg 1024w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/4D68EAB4-FCD1-4262-8BFF-DBFDC1FE9990-300x225.jpeg 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/4D68EAB4-FCD1-4262-8BFF-DBFDC1FE9990-768x576.jpeg 768w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/4D68EAB4-FCD1-4262-8BFF-DBFDC1FE9990-1536x1151.jpeg 1536w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/4D68EAB4-FCD1-4262-8BFF-DBFDC1FE9990-2048x1535.jpeg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>True Backgammon\u2019s tutor with some halfway readable scribbling by me trying to explain stuff<\/figcaption><\/figure>\n\n\n\n<p>Oh man, what a sh\u2026load of numbers! Let\u2018s examine them one by one.&nbsp;<\/p>\n\n\n\n<p>Tutors usually show the best moves in a position in a list. They mark the best one and your actual move, and they will throw a lot of numbers at you to find out what the differences between moves are.<\/p>\n\n\n\n<p>First let\u2019s examine the best move I should have played, which is shown in the top lines of the list, marked blue.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"902\" height=\"676\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/C74CA685-5385-449D-93D5-5AEB72C05809.jpeg\" alt=\"\" class=\"wp-image-147\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/C74CA685-5385-449D-93D5-5AEB72C05809.jpeg 902w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/C74CA685-5385-449D-93D5-5AEB72C05809-300x225.jpeg 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/C74CA685-5385-449D-93D5-5AEB72C05809-768x576.jpeg 768w\" sizes=\"auto, (max-width: 902px) 100vw, 902px\" \/><figcaption>Lots of confusing German text and figures<\/figcaption><\/figure>\n\n\n\n<p>The leftmost number is the most important one: -0.729. It\u2018s the equity of my position after the best move. Meaning I\u2018m significantly behind, even if I play the best move, which is 6-5 8-3 (shown in the first row, right part)<\/p>\n\n\n\n<p>As people are better with probabilities than with equities, you get a large number of probabilities below that explain the situation in more detail:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>I will win roughly 1 in 3 matches from this position (31.1%).&nbsp;<\/li><li>The computer will win the other 68.9%. There is no draw in backgammon.<\/li><li>A number that is often helpful is the one named \u201eG+BG\u201c. This number tells you how likely you and your opponent are to win with a gammon or even backgammon. Here, my opponent is fairly safe from gammons, I will only win 6.3% or one out of 15 games by gammon\/BG. My opponent is starting to build up some gammon potential with a 16.7% gammon chance, he will win one in 6 games by gammon.<\/li><li>Ignore the MWC figure for now &#8211; these are the match winning chances for me, which is important for match play, because the evaluation of a position might be different if you\u2018re playing a long match and leading by far or if you\u2018re playing a normal game.<\/li><\/ul>\n\n\n\n<p>You can already learn a bit here, make some interesting observations. If you scroll way up to the position in the first figure, you see that my opponent already made two additional points that my last two checkers have to pass, while I have not yet succeeded to do so. This difference turns into a significantly higher chance to win, and in twice as many gammons.<\/p>\n\n\n\n<p>Now let\u2018s compare my mistake-ish move.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"133\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DD09F332-4549-407C-9410-138BB8DE9305-1024x133.jpeg\" alt=\"\" class=\"wp-image-148\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DD09F332-4549-407C-9410-138BB8DE9305-1024x133.jpeg 1024w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DD09F332-4549-407C-9410-138BB8DE9305-300x39.jpeg 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DD09F332-4549-407C-9410-138BB8DE9305-768x100.jpeg 768w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/DD09F332-4549-407C-9410-138BB8DE9305.jpeg 1053w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\"><li>My move is only the 6th best move. I managed to not find one of five better moves. Good job.<\/li><li>The leftmost figure, -0.798, is the equity of the position after my move. In brackets it shows (-0.069) which is the difference to the equity of the best move, ie the equity I\u2018m losing because I picked the wrong move.<\/li><li>It then shows my move, 24-23, 23-18<\/li><li>Below it shows my new winning probability, 32.2%. I\u2018m 1.1% less likely to win now.<\/li><li>Also it shows gammon\/backgammon probabilities. You can see that my opponent\u2018s gammon chances have climbed by 10% from 16.7% to 26.4%. That\u2018s because I\u2018m leaving two blots for him to hit and build a strong board.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Tutors are no teachers<\/h3>\n\n\n\n<p>That\u2018s pretty much it. That\u2018s what you get out of a tutor. And if now the realisation dawns upon you that tutors are just a large bunch of numbers that a perfectly playing computer throws at you, and that it\u2018s hard work to interpret these numbers, then you\u2018re 100% right. A tutor is no teacher. It won\u2018t tell you about backgammon concepts like priming, blitzing, back games, flexibility, pure plays. It will just tell you for your current position and for every single move how it affects your winning chances and gammon chances. The rest is up to you.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">How to work with a tutor<\/h3>\n\n\n\n<p>First, let\u2018s get this out of the way: a very good way to improve your backgammon is to get a human teacher, or read a good backgammon book that explains what\u2018s going on in the mind of great players when they look at a position.<\/p>\n\n\n\n<p>An incredibly valuable and totally free starting point is the<a href=\"https:\/\/www.bkgm.com\/matches\/woba.html\">&nbsp;wonderful annotated match<\/a>&nbsp;between Kit Woolsey and Jeremy Bagai that you can find on bkgm.com. Two top players and the back then best bot explain why the players made the moves they made and why alternatives would have been worse or better.<\/p>\n\n\n\n<p>Also, please note that even after years of playing backgammon I still sometimes end up in positions where the computer tells me \u201ethis was a shitty move, you should have played that\u201c and I just don\u2018t find out why. The tutors are valuable tools but won\u2018t help you always.<\/p>\n\n\n\n<p>With that said, that\u2018s what you can do with a tutor\u2018s analysis:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>If you\u2018re a beginner, I suggest you focus on blunders that cost you more than 0.3 points of equity. It\u2018s far easier to find out what you did wrong than in moves that only cost you 0.05 points of equity.<\/li><li>Tutors often allow you to click on a move and see it on the board. Look at the position after your move and after the bot\u2018s move. What are the key differences?<\/li><li>Maybe look at other moves that are also close to the equity of the top move. What do they have in common that your move doesn\u2018t have in common with all of them?<\/li><li>Look at the gammon\/backgammon percentages. Sometimes a key difference is that you greatly increase the chance of losing two points.<\/li><li>Oh yes, and please trust the computer\u2018s evaluation 100%. If you\u2018re a top player you might know about very, very exotic positions where the bot misanalyzes the position. But a beginner can blindly trust the evaluation of a superhumanly strong player like True Backgammon\u2018s BGBlitz engine or XG mobile. If the bot says your move is shit, your move is shit. \ud83d\ude42<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">XG Mobile\u2018s tutor (which is really the same thing)<\/h3>\n\n\n\n<p>Here\u2018s what the same figures look like in XG mobile.<\/p>\n\n\n\n<p>Like True Backgammon, XG will remain silent as long as you\u2018re making good moves. If you blunder (like I did here with a blunder that cost me 0.12 points of equity) you get a dialog about it. Hit \u201cshow best choice\u201c for the tutor\u2018s overview and you see this pop-up:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/96A27037-E201-4F9A-A130-7ADE6A25331F-1024x768.png\" alt=\"\" class=\"wp-image-149\" srcset=\"https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/96A27037-E201-4F9A-A130-7ADE6A25331F-1024x768.png 1024w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/96A27037-E201-4F9A-A130-7ADE6A25331F-300x225.png 300w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/96A27037-E201-4F9A-A130-7ADE6A25331F-768x576.png 768w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/96A27037-E201-4F9A-A130-7ADE6A25331F-1536x1151.png 1536w, https:\/\/gammonrants.org\/wp-content\/uploads\/2022\/09\/96A27037-E201-4F9A-A130-7ADE6A25331F-2048x1535.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Again, you see a list of the best moves; my move is sorted at the second position. You see the moves and the associated equities; if you click on a move the tutor will show you the winning\/losing\/gammon\/bg probabilities. Click on the little eye and you\u2018ll see the move on the board.<\/p>\n\n\n\n<p>As you see, it\u2018s pretty much the same data, visualised slightly differently.<\/p>\n\n\n\n<p>That\u2018s it for now. I hope you enjoyed reading this and it can help you a tiny bit to improve your backgammon.<\/p>\n\n\n\n<p>Next up: how Tutors help you analyze your cube decisions. I was considering adding this here, but the post is very long already, and cube handling is way more intricate than normal checker play, so maybe beginners should first not worry too much about the doubling cube, maybe even play 1pt matches where the cube doesn\u2018t play a role.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Please note: this page is for beginners who want to improve, not for serious players who know what equities are and how to use them. Some time ago, on Twitter, I suggested to a newbie to use the tutor of True Backgammon to improve his playing strength. And then I realised what a difficult task [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-140","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/pages\/140","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/comments?post=140"}],"version-history":[{"count":3,"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/pages\/140\/revisions"}],"predecessor-version":[{"id":459,"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/pages\/140\/revisions\/459"}],"wp:attachment":[{"href":"https:\/\/gammonrants.org\/index.php\/wp-json\/wp\/v2\/media?parent=140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}