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Guides > Cooking > Kitchen Enterprises

Kitchen Enterprises

This page discusses the theoretical underpinnings of ATITD Tale 3 Cooking, and how to use our spreadsheet to optimize your cooking efforts.

The Sunset Guild is offering Tutoring sessions for Cooking in general, and particularly to explain effective use of the Kitchen_Enterprises spreadsheet. For a fee, 10,000 potency potency points worth of herbs and other ingredients to support our on-going research efforts, we will:

Foraging and Cooking Skills

Cooking lessons, with a reasonable likelihood of Masterpiece Gastronomy points (for Critical Evaluation), are recommended as one of your earlier efforts.

Consider a Glazed Doughnut

In the middle of the Glazed Doughnut there's a hole that contributes nothing,
but if the hole gets too large, you won't have a doughnut any more.

The Doughnut provides most of the bulk, and a bit of the flavor.

The Glazing provides most of the flavor, and a bit of the bulk.

Cooking works that way too!

Servings

Your cooking skill level determines the number of Bases that you can use in a recipe, one Base per cooking level. If the number of bases in a recipe exceeds your cooking skill level, you will get muddled results.

There are 7 ingredients per serving, and the general formula is Servings = (Na + Nb) modulo 7, where Na is the number of Additive Ingredients and Nb is the number of Base Ingredients. In a typical production recipe there will be one Additive Ingredient per Base, and 7s-1 of each Base ingredient where S is the total number of servings per Base. In other words, a level 5 cook might cook 5*(Na+34Nb)/7 servings, for a recipe with 5 different Additives each paired with an effective Base, which would yield 5*35/7=25 servings.

If your Gastronomy level is 7 or more, from eating Masterpiece Recipes, you will have a Critically Evaluate this Food menu on the kitchen, that will indicate the integer Duration (to the nearest second) and the integer Stats for that recipe.

Duration

The duration formulas, for a two ingredient recipe, are:

If you use multiple different additives per base, and it's all determined based on distance whether you intended it that way or not, you'll kill your duration.

Recipes will spoil after a few days. Each Pyramid of Renewal adds 2 days, Salt adds 2 days, and the recipe itself adds two days. That's a maximum of 18 days, but we're not there just yet.

Duration, which is just the Doughnut in actual practice, determines how long a recipe will effect your performance statistics.

Performance Stats

Each recipe also provides an overall performance decrease/neutral/increase in each stat. Although there are seven different stats they are independent of each other. The only variables that effect the statistics are:

Each ingredient provides a different combination of stats, so the Art of Cooking lies in selecting a combination of ingredients that will provide you with the desired performance, without killing your duration or your pocketbook.

Going back to our doughnut analogy, when you eat the doughnut the bulk and the glazing all get mushed together, and flavor, rather than size, becomes the important factor.

Stats, which is just the Glazing in actual practice, determines what you'll be able to do while the recipe is in effect.

Location

The distances that we derived earlier can be regarded as the radii of circles whose location is determined by the separation, and therefore the relative location, of the Additives and Bases in a R2 space that uses seconds as the metric.

Huh??? OK. The dotted circles are the Doughnut Holes.

The analytical technique expresses the circles with equations of the form X2 + Y2 = (2R)2, solves the consequent quadratic equations for the intercepts, and connects the consequent point pairs to create a star burst pattern that visually identifies the single point, the location of the additive, that all of the circles must have in common.

The distance between any two ingredients, if one of them is sufficiently potent, can be mapped onto a 2000x2000 unit plane (an R^2 space) where the units are expressed in seconds. We'll skip over the painful exercise of normalizing the R^2 space, and simply thank Quizzical for his efforts. For our purposes, the location of several base ingredients is well known, and we can use those bases as our reference points.

As cheap, well positioned bases, we particularly like:

 ( 499, -468) Cabbage
 (-582,  793) Camel Milk
 ( 366,  615) Coconut Meat
 (-367, -580) Oil
 (- 80, -102) Garlic, which is sometimes needed if potencies are low.  

Take particular note that Zanthoxylum is collinear with Coconut Meat and Oil, and that the associated chord is therefore a very short line. We'll discuss collinearity, and tangent circles, in more detail when we get to calibration.

Acknowledgments

As well you can imagine, a great many people contributed to our understanding of cooking. http://www.atitd.net/forum/showthread.php?t=11121 is an excellent starting place for further investigation, and other ways of explaining cooking.

May I Please Have A Spreadsheet?

The remainder of this page discusses a Microsoft Excel tool that will allow you to more easily get the results that you want, using the herbs and mushrooms that you already have on-hand. The file is a bit too large to include as a wiki attachment, so you'll need to download it from http://www.marvl.com/downloads/Kitchen_Enterprises_2007H05.xls .

The remaining portions of this wiki page includes enough explanatory information for you to follow the action, but it's mostly a discussion regarding the use of the spreadsheet, and how it's structured.

There are five tabs in the spreadsheet:

Instructions

The instructions tab points back to the wiki, provides some contact information, and indicates the current spreadsheet revision with a revision log.

Inventory

The inventory is a pretty simple concept, but it will save you an enormous amount of time.

Don't even try to maintain a manual inventory. Folks are constantly adding herbs and using ingredients. You'll go nuts and the inventory won't be accurate anyway. To start a new cycle:

The in-game Utility menu for Chests and Tents allows you to copy the container contents to your clipboard. Go in-game, and take a look at the inventory in all of your cooking containers.

Now create the lookup table.

A magic lookup table is now available.

We use the inventory to track several private Herb Chests, plus our main pantry. Consequently we have several different user names in the Chest column.

Tests

We're accumulating test results on the Tests page, and you're more than welcome to contribute additional data.

Simply being organized is a major advantage when you are testing a lot of recipes.

When you type an ingredient into the Additive or Base fields, the spreadsheet will fetch the ingredient type from the Contributions Tab. This is mostly to verify your spelling, but it also allows you to sort the test data in Chest sequence.

The Tests Tab has the following columns:
Column Description
Additive
(always 1)
Only one Additive is used in this series of 1:6 tests
Ta The type of the additive allows you to sort your test data to match the chest sequence. The main purpose of the lookup, however, is verification that the tested ingredient is spelled correctly, and is included in the database.
Potency This is a calculated value. Potency = (Duration-Bulk) * (Na+Nb)/Na Proportion
Bulk This is also a calculated value, using the same formula. You should try to pair an additive with the most effective available base, if you can, as the recipe will then:
* Provide better Stats granularity
* Verify that the Bulk values are still the same, and that you can therefore trust the test data.
Base 1:6 then
1:13 if needed
Each line of test data implies two related tests:
* 1:6 Additive:Base
* 1:13 Additive:Base
Tb Verification that the Base exists.
1:6 The calculated Duration, in total seconds, reported by the first test.
1:13 The calculated Duration, in total seconds, reported by the second test.
7m User entered minutes from the Critical Evaluation of the first test.
Add 60 if the duration is more than an hour.
7s User entered seconds from the Critical Evaluation of the first test
14m User entered minutes from the Critical Evaluation of the first test
14s User entered seconds from the Critical Evaluation of the first test
Tester Who did the testing
GameDate When was the testing done

Calibration

The Starburst chart that we looked at earlier is controlled by the following elements.

The Calibration tab is much easier to use, than to explain. There's a lot of heavy duty math going on behind the scenes, but the Starburst chart that we looked at earlier is the visible result of all of the analysis.

Durations

Starting in the top row, you may enter the name of any Ingredient (usually an Additive) in cell A2, and up to four other Ingredients (usually Bases) in B2:E2. The spreadsheet will automatically look up the (X,Y) location of each base.

Moving to the right, to cells G3:H10, copy/paste the 1:6 test results that you developed on the Test tab and manually add the specific 1:13 test results. If you don't want to keep a record of your test results in the Tests tab, you can work directly on the Calibration tab and then simply print out the results.

Moving down the page a bit to G11:H12, please take the time to enter the Tester and the Game Date. We use the convention of entering the game date as "3 ", rather than "Year 3, ", because the stray comma causes all sorts of grief later on when we're trying to parse data using a *.csv (comma separated values) format when preparing material for the wiki.

Statistics

On the testing tab we ignored the actual stats, in part because there was no reliable way to back out the base contribution, nor any graceful way to present comparative contributions. In this tab we assume that you have provided test results for a selected additive, and have paired it with several different bases.

Please enter your observed Stats results, all 4*7=28 values, as -1, 0, 1. The program then tries to isolate the Statistical Contribution of the Additive, by backing out the Statistical Contribution of each base. We can reliably get within one unit of the correct value but, as we have no way of outguessing the roundup error, there is still a bit of noise. By comparing the behavior of the Additive against several different Bases, it's normally fairly easy to discern the Characteristics of the additive.

Distances

The hypothetical potency of the additive is calculated, as was previously discussed, is placed in Cell B28, and is used to calculate the distance between the Additive and each of the associated bases. If you'll think back to the earlier discussion, the potency of a base has nothing whatever to do with either duration or distance, so don't be mislead by their position in B29:B32. The unused potencies are comforting, and nice to know, but the potency of a base is not used any of the duration calculations, but they do help when trying to understand where the Stats are coming from.

You may recall that high potency herbs allowed us to see out beyond the 1000 second bulk horizon. Zanthozylum is definitely a Rare Herb, its potency is 28,240 which is the maximum value for Herbs, and the additive boost is substantial enough for us to see all the way out to 1255 seconds.

Starburst Patterns

Dropping straight down to Cells C34:F39, we've presented the two intercept points for each of pair of circles. As each of the 4 base circles pairs with each of the other 3 circles, with 2 symmetrical intercepts per pair, there are 4*3/2*2=12 different possible locations for the Additive. If you look at the Starburst pattern however, which is directly created using these intercept point pairs, you will be able to identify the single common point where all of the circles must intersect.

If the target ingredient is collinear (lines up with) a pair of reference bases, then the associated circles will be tangential rather than crossing at a nice angle. Errors in the location of either base would therefore be amplified, so we want to avoid the collinear regions. A good fit is identified by calculating the distance between the location of each pair of Bases, and the distance between the related intercepts. The smaller value is divided by the larger value to obtain a ratio expressed as a percentage.

Contributions

The important thing to notice is that we predictively nailed the recipe stats and duration.

If your predicted and observed Stats are off by more than 1 unit, figure out the most likely culprit and go test the current potency of that ingredient.

We're not even going to try to explain the various factors, sorts, and autofilters that are available when you're hunting for the perfect recipe. Training is needed to effective use this portion of the spreadsheet, and training is available as indicated at the bottom of this page.

We'll itemize all of the columns on this tab, although some of the columns are normally hidden.

Column Description
Ingredient The ingredients in red are treated as bases. They contribute 1/9th of their potency, and they are ignored when calculating the proportional additive portion of the Bulk calculations.
* Sorting by Type, Ingredient is a reference sort.
* Sorting by either Contribution or one of the Masterpiece Duration columns provides a more useful sort when you are designing a recipe.
* Be aware that ATITD sorts a space character last while Excel (and the rest of the world) sorts a space character first, so the sequence is inverted for ingredients such as Bluebottle Clover and Blue Damian.
st - pe Potency/17.2 * Bulk/1000 * Characteristic of the additive (or 1/9th of that value if the ingredient is a base.)
Potency Manually entered; copied from the Tests tab was where Potency was determined.
Contribution This is a generic value that is then multiplied by the Characteristics to obtain the Contributions for each Stat.
MP3:4 - 5*1:69 These fields are used for tuning Masterpiece Recipes, and also for calculating the duration of various ingredient mixes. While the bulk of the additive/base pair is known, it's right there as part of the additive line, it's only used once, in a given recipe.
* If you're using multiple different additives per base, use the worst bulk associated with that base. You must also divide the duration contributed by that base by the number of different associated additives.
* It's possible for an ingredient that's normally a base to be used as an additive, so bulk is shown for pairings with the nearest other bases. If you're playing these sorts of games, you'll need to mentally multiply the contribution of the "basic additive" by 9 (10 is easier) to correct for the normal 1/9th base contribution factor.
str - per The familiar (- 0 +) characteristics of each ingredients.
X,Y As was determined on the Calibration tab; use copy/Paste Special, Values only so that you don't lose any precision.
Tp The type of ingredient, so that we can almost match the Chest presentation sequence.
Tester The tester's name.
GameDate The date the tests were conducted. Use the convention of "3 " to represent "Year 3, ".
Chest A hidden column that allows us to deal with missing inventory items.
Inventory Simply knowing what else you might be able to use is a huge help when designing a recipe.
Price Your opinion. Our formula considers the usefulness of an ingredient in a single serving recipe, and for tuition. We ignore it's desireability for stats contributions.
f The flag field allow us to select arbitrary ingredients for inclusion in the recipe. Use nonblank as your selection criteria, to pick up the subtotals.
1st This is the bulk of the most effective pairing
Base1 The name of the most effective Base.
2nd - 4th Less Bulk
Base2 - Base4 Less effective Bases.
Row Allows us to us an arbitrary row as the index for a table that contains the Name and X,Y coordinates of each Base.
R The crosstab array in AM2:Bx333 is where all the work is done. Every Additive:Base Pair Distance is calculated, and then Base = 1000 - Distance is calculated.

The most effective approach is to sort the spreadsheet by either Contribution or Bulk, and then use AutoFiltering to select the ingredients that will match your objectives.

Tutoring

Sunset Enterprises will show you how to be a competent cook, in accordance with the following fee schedule.
  1. 100,000 Potency points for a Camp Visit, Inventory, one custom recipe, and training. Reserve about 3 hours.
  2. 100,000 Potency points for designing each additional custom recipes, or for significantly improving a recipe that is offered for review. The fee is actually for the additional training. Reserve an additional 3 hours.
  3. 100,000 Potency points for providing the ingredients that are needed for a Sunset designed recipe up to 25 servings.

The indicated prices are based on the potencies of Herbs and Other Ingredients, as shown in the spreadsheet that was posted at Contributions when the visit was scheduled or in your spreadsheet at the end of the visit, whichever source provides the lower price.

While Herbs and other ingredients are the preferred method of payment, we'll also accept a 1/4 share of whatever you're accomplishing, using the recipe, in lieu of a 100,000 potency points payment. In other words, Sunset will provide training and everything for a dig (including high quality shovels) at your camp for a 1/2 share of the stones if we provide everything, or for a 1/4 share if you provide the Herbs and other ingredients.

The following ingredients are in short supply because they are required for the indicated Tuitions. They therefore count as double their indicated potency.

Our service always includes full documentation of the recipes, and an explanation regarding the whys and wherefores of the choices that are being made. In fact we'll insist on explaining it to you.

Our fundamental objective is to enhance the general level of cooking skill, throughout Egypt.

Current Shortages

If you can spare even one deben of the following ingredients, do please let us know, as we are trying to scrap together enough units so that we can test/verify the current potencies and locations. These ingredients count as triple their potency value.

All but the following mushrooms and herbs have been tested during 3 Shemu. A few of the items are in sort supply due to tuitions, but most of them are either rare or perhaps don't even exist any more.

Data on some of these ingredients is available from secondary sources, and we've included the best available data in the spreadsheet, but we'd prefer to test the ingredients ourselves.

Camp Calls - We do the traveling

During a Camp Call we will:

Donations, especially donations of untested herbs (because we don't have those herbs), are always welcome.

Designing additional recipes to target requirements, or significantly improving a recipe offered for review

A significant improvement accomplishes one or more of the following, without increasing the cost of the recipe (in Potency Points), and without falling below either the target Duration or the target Stats, using only the Herbs and other ingredients that are on-hand:

While we will design custom recipes, for a fee, our preferred approach is to review a worthy attempt and either agree (which is free) or substantially improve the recipe (which isn't free), with an explanation of the whys and wherefores.

Visits to Sunset - You do the traveling

The Sunset Kitchens are located in northern Seven Lakes, near the UThought, in our "bright chartreuse" cooking compound at 1454,2290.

Beginner's Special

You are eligible for a one-time per avatar Beginner's Special if you: All fees other than Herb and Ingredient replacement costs will be waived if you (or a beginning member of your guild) arranges the training.

We will not build a kitchen for you. In fact, we'd prefer that you experiment with your kitchen for a few hours before our visit, so that you will have the full benefit of the training.

Masterpiece Recipes

There is never any guarantee that a particular recipe will be a masterpiece.
- HOWEVER -
When cooking long duration recipes with unusual combinations of ingredients, and especially so if an inexperienced chef actually cooks the recipe, we have achieved a Masterpiece rate as high as 1 in 7 (during a cookout, when weird combinations were fine), and have consistently achieved a Masterpiece rate of 1 in 14 for targeted recipes.

Assuming a pair bulk of at least 700 seconds leaves the remaining 3500 seconds to be provided by the Additive proportional potency.

The secret of cooking Masterpieces is to always use novel, high duration combinations, and cooks with limited experience. That approach is entirely consistent with the Sunset philosophy of hitting just the targets that you need, while using just the Herbs and other ingredients that you have on-hand.


NameCreatorDateSizeDescription
Blooded_Harebell.jpgMarvLJuly 19, 2007 11:58 pm54947(-600,538) is just wrong!
Contributions.pngMarvLJune 11, 2007 4:20 pm33002
Distances.pngMarvLJune 11, 2007 4:20 pm46770
Glazed_Doughnut.jpgMarvLMay 24, 2007 5:02 pm10119Analogy can be useful
Intercepts.pngMarvLMay 30, 2007 3:13 am8072
Inventory.pngMarvLJune 11, 2007 4:21 pm22792
TestData.pngMarvLJune 11, 2007 4:22 pm41912
Zanthoxylum.pngMarvLJune 11, 2007 4:22 pm20780

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Last edited August 6, 2007 5:07 am by MarvL (diff)
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