The Dicenomicon allows you to specify complex dice formula to encompass dice rolls that are difficult to perform in a free-form mode (or to quickly switch between multiple rolls). These dice formulat can be as simple as "3d6", which would mean to roll three d6 dice and take the total of them. Or it could be more complicated, including combining terms via addition, subtraction, multiplication, division, or modifying the dice by taking the highest or lowest of them, or even count how many are above (or below) a certain threshold (including support for Storyteller style rolls)

There are two ways to specify a dice formula to roll. For quick "one off" cases, tap the pencil icon at the top, and the dice formula editor will appear. To select one of the favorite rolls, tap the bookmark icon and select the roll from the picker that appears. You can edit what rolls appear in that list from the settings (found on the "back side" by tapping the info button). To re-arrange the rolls to make your most used appear at the top, tap the "Edit" button at the top of the settings - this will change the list of rolls to edit mode, where you can delete one by tapping the "-" button, and you can reorder the elements in the list by tapping and dragging the "grabber" (that sort of looks like an "=") on the right of the rolls. Tapping "Done" will save these changes.

Tapping on a favorite roll within the settings will also bring up the formula editor to edit its formula. New ones can be added by selecting the "Add Roll" item.

The formula editor is built around an editing area and a keyboard below it. The keyboard provides access to all the symbols that are used in the formulas - simply type one of the keys to add it to the formula, or select a part of the formula and type a key to change that chunk. The editor is smart enough to try to propery provide additional parts of the formula that make sense - so if you have "1d6" and type a "1" after it, it will automatically make it "1d6+1".

The keyboard has two different sections - the "Dice" section and the "Numbers and Operators" section. Toggling between the two is done by the key in the bottom left corner ("Dice" will take you to the "Dice" section, and "123+" takes you to the "Numbers and Operators" section). Besides these two parts, there is also a "..." key, which works sort of like a "shift" key, giving you access to various less frequently used keys. These keyboards work just like the regular iPhone textual keyboard.

The Dicenomicon includes all the platonic solids, and various other "isohedral" polyhedron (including several common triangular dihedrons and trapezohdrons). What this means is that it includes the following dice:

d4	d6	d8	d10	d12
d14	d16	d20	d24	d30

By alterning the number scheme on the dice, or using more than one die, the following are also possible:

d1	d2	d3	d5	d7
d9	d15	d6a	dF	t?
d100 (d%)		d1000 (d‰)

By "reroll on an X", we can simulate die that are just a bit smaller than another die:

d11

d13

d17

d19

Dice can also start numbering a zero instead of one - this is done by using the letter "z" instead of "d". So a z6 is numbered from 0..5. (z3s have the interesting property that their total, on the average, is the same as the number of dice rolled, which could make a good basis for the mechanics of a game)

Notes:

• d1 rolls either a 0 or 1 (and is equivalent to a "z2")
• d6a is a 6 sided "averaging" die, used in wargaming, which rolls 2,3,3,4,4,5,6
• d% rolls two ten sided dice, one marked 0-9, the second 00-90, and the pair added. A result of 0+00 is treated as 100
• d‰ rolls three ten sided dice, one marked 0-9, the second 00-90, the third marked 000-900, and the triple added. A result of 0+00+000 is treated as 1000
• dF is a specially marked die used for "FUDGE". It's a six sided die labelled with two "+" and two "-", and two blank sides, which are valued at +1,-1 and 0, respectively
• t? - Special "Text" dice that include various strings or symbols, such as directions, hit locations, zodiac symbols, etc... Double-tap on the token to change what die is rolled. Note that text dice produce string values, not numbers, and so can only be rolled singly, can't be modified, etc...

Dice can also have a specified color associated with them (to help to label them or differentiate them from other dice). This is done by adding a color code before the "d" (or "z"):

• R - Red
• G - Green
• B - Blue
• C - Cyan
• M - Magenta
• Y - Yellow
• K - Black
• X - Use the default color ("uncolored")

These color values are found as alternates to the number keys on the keyboard (and even are color coded).

Dice can be either regular rolls, or open rolls (sometimes called "exploding dice"). Open rolls are rolls in which certain values are rolled again, usually adding to the total for that die. There are four supported open die rols:

• + Open high ended roll. If the die rolls the highest value on the die, it is rerolled and added to the total for that die.
• - Open low ended roll. If the die rolls the lowest value on the die, it is rerolled and subtracted to the total for that die.
• ± Open high/low ended roll. Combination of the two.
• * Similar an open high ended roll, but the die is rerolled and treated as an additional die (this is useful for the "count how many dice are at least a given value" style rolls)

So, for example, a "d+6" would roll a six sided die. If it rolled a 6, then it would be rolled again, and that result (say, for example, a 4) would be added to that first value (6) giving a total of 10.

Note: Open ended d% dice actually use 1..5 as the "low" threshold, and "96..100" as the "high" threshold.

Besides just simply totalling up the specified number of dice, each term can have modifiers to allow for things such as "roll 4 six sided dice and use the 3 highest (4d6H3)". These modifiers appear after the specification of what dice are rolled, and can be any of the following:

• H - Take the highest N dice, ignoring the lower ones (such as in the example above)
• L - Take the lowest N dice, ignoring the higher ones
• # - Take the Nth highest die (so 3d6#2 will take the "middle" of three dice)
• > - Count how many of the dice are greater than a given value. So 4d6>5 will count how many 6s appear on four dice
• ≥ - Count how many of the dice are greater than or equal to a given value. So 4d6≥ will count how many 5 and 6s appear on four dice.
• < - Similar to ">" but counts how many are less than a given value
• ≤ - Similar to "≥" but counts how many are less than a given value
• = - Count how many are equal to a given value
• ≠ - Similar to "=" but counts how many are not equal to given value
• vs - Does Exalted style resolution - counts how many passed the target test, and compares that to a difficulty value. Only if that result fails do the "botches" count (as opposed to just adding the successes and botches together)

There are also modifiers that directly modify individual dice, effectively causing them to have different results (which is independant of the previous modifiers which operate on the collection of dice). These modifiers also include a "target" number. These are:

• MIN - Treat any die that is less than the target as the target value
• MAX - Treat any die that is greater than the target as the target value
• TN - Treat any die is that equal to or greater than the target as +1, and any "1"s as -1, and everything else as 0
• XX - Similar to TN, but any value equal to the "high value" of the die is treated as +2.
• BRU - "Brutal" die - if the value is less then or equal to the target number, it is rerolled.
• REO - Reroll Once die - similar to brutal dice but it is only rerolled once.
• BOD - Champions "Body" damange

These modifiers can be found on the "Dice" portion of the keyboard, as one of the alternates.

The results of various rolls can be comined with other rolls and constant numbers using a variety of operators:

• + - Add two number (and concatenates strings with a space between them)
• - - Subtract two numbers (and concatenates strings without a space between them)
• × - Multiply two numbers
• / - Divide two numbers
• % - Modulo (the remainder left after integer division)
• ∧ - Take the minimum (smaller) of two numbers (also works as "and" for combining targeted rolls)
• ∨ - Take the maximum (larger) of two numbers (also works as "or" for combining targeted rolls)
• , - Separates two values (making a list)
• . - Separates two values, ignoring the first
• in - Determines if the left value is "in" the right value - used mostly to test if a value is inside a list of other values
• ... - Creates a list with all the values between two values (so "d6 in 2...4" works as expected)