Hex Group - Revision history

Tao alexis: /* Coastal Areas */

2026-03-31T19:59:05Z

Coastal Areas

Tao alexis: /* Coastal Areas */

2026-03-31T19:58:40Z

Coastal Areas

Tao alexis at 19:57, 31 March 2026

2026-03-31T19:57:58Z

Tao alexis at 04:24, 6 March 2025

2025-03-06T04:24:28Z

Tao alexis at 20:50, 9 February 2025

2025-02-09T20:50:27Z

Tao alexis: /* Coastal Areas */

2025-01-31T20:31:25Z

Coastal Areas

Tao alexis: /* Coastal Areas */

2025-01-31T20:30:32Z

Coastal Areas

Tao alexis: /* Coastal Areas */

2025-01-31T20:11:41Z

Coastal Areas

Tao alexis: /* Distributing Groups */

2025-01-31T20:11:09Z

Distributing Groups

Tao alexis: /* Distributing Groups */

2025-01-31T20:09:49Z

Distributing Groups

@@ Line 32: / Line 32: @@
 == Coastal Areas ==
 If the hex is partly water, so that Hex D contains no land or only an inconsequential sliver of it, then the type-4 hex is placed in the next suitable hex in order, moving from 2nd to 3rd to 4th and so on. This provides a quick adjustment for unusual circumstances that arise in mapping, without requiring a complicated program to account for them.
 See also,<br>
-[[Hex Types]]
+[[Hex Types]]<br>
 [[Mapmaking]]<br>
 [[Talk:Hex Group|Visual breakdown of distributed infrastructure]]
 [[Category: Reviewed]]

@@ Line 32: / Line 32: @@
 == Coastal Areas ==
 If the hex is partly water, so that Hex D contains no land or only an inconsequential sliver of it, then the type-4 hex is placed in the next suitable hex in order, moving from 2nd to 3rd to 4th and so on. This provides a quick adjustment for unusual circumstances that arise in mapping, without requiring a complicated program to account for them.
 See also,<br>
 [[Hex Types]]
 [[Mapmaking]]<br>
-[[Talk:Hex Group]]
+[[Talk:Hex Group|Visual breakdown of distributed infrastructure]]
-[[Category: Incomplete]]
+[[Category: Reviewed]]

@@ Line 1: / Line 1: @@
 [[File:Hex Groups.jpg|right|490px|thumb]]
-'''Hex groups''' are a designation for a constituency of 9 hexes that fit conviently inside a larger hex — seven '''prime hexes''' and six diamonds each representing ⅓ of a hex.  This allows a hex to be subdivided for the purpose of randomly assigning portions of a [[20-mile Hex Map|20-mile hex's]] [[Infrastructure|infrastructure]] number, providing a collection of "[[Hex Types|hex types]]" numbering from type-1 to type-8.  While the [[World (Alexis' game setting)|game world]] is mapped in 20-mile hexes for estimating [[Travel|travel]] times for [[Player Characters|player characters]] and the [[Transport (trade)|movement of goods and services]], [[6-mile Hex Map|6-mile hexes]] as determined through hex groups are used to provide more detailed information for the purpose of running the game setting.
+'''Hex groups''' designate a constituency of 9 hexes that fit conveniently inside a larger hex: seven '''prime hexes''' and six diamonds, each representing ⅓ of a hex. This allows a hex to be subdivided for the purpose of randomly assigning portions of a [[20-mile Hex Map|20-mile hex's]] [[Infrastructure|infrastructure]] number, producing a range of [[Hex Types|hex types]] from type-1 to type-8. While the [[World (Alexis' game setting)|game world]] is mapped in 20-mile hexes for estimating [[Travel|travel]] times for [[Player Characters|player characters]] and the [[Transport (trade)|movement of goods and services]], [[6-mile Hex Map|6-mile hexes]], as determined through hex groups, are used to provide more detailed information for the purpose of running the game setting.
 [[File:Divided 20-mile hex.jpg|left|280px|thumb|'''Showing the 7 prime hexes within the 20-mile hex'''.]]
+This method of subdividing hexes can be used to expand the details of the game world as desired, since 6-mile hexes can likewise be subdivided into [[2-mile Hex Map|2-mile hexes]], which can then be reduced progressively into [[Land Hex|land hexes]] (1,304 yards), [[Village Hex|village hexes]] (434 yards), [[Block Hex|blocks]] (145 yards), [[Sub-block Hex|sub-blocks]] (48 yards) and [[Lot Hex|lots]]. This makes it possible to map virtually anything.
 == Distributing Groups ==
-Beginning with the infrastructure number for a 20-mile hex, the seven prime hexes, or "group," are randomly assigned an order from 1 to 7.  These are then allotted, in order, an amount of infrastructure according to their order.  The hexes have a designation starting at the top right and moving in a circle, with the last hex in the centre, as Hex-A, Hex-B, Hex-C and so on.  A new random order is assigned to the seven hexes each time infrastructure is distributed, ensuring a unique pattern for every group.
+Beginning with the infrastructure number for a 20-mile hex, the seven prime hexes, or "group," are randomly assigned an order from 1 to 7. They are then allotted infrastructure according to that order. The hexes are designated beginning at the top right and proceeding in a circle, with the final hex in the centre, as Hex-A, Hex-B, Hex-C and so on. A new random order is assigned to the seven hexes each time infrastructure is distributed, ensuring a unique pattern for every group.
-When assigning infrastructure, the original number is divided according to powers of 2: 2<sup>0</sup>, 2<sup>1</sup>, 2<sup>2</sup>, 2<sup>3</sup> and so on... while assigning empty hexes zero infrastructure.  That is,
+When assigning infrastructure, the original number is divided according to powers of 2: 2<sup>0</sup>, 2<sup>1</sup>, 2<sup>2</sup>, 2<sup>3</sup> and so on, while empty hexes are assigned zero infrastructure. That is,
 :* 0 = 0 infrastructure (0-IN) — [[Type-8 Hex|Type-8]] (see "[[Hex Group#Hex Types|Hex Types]]" below)
@@ Line 19: / Line 19: @@
 :* 2<sup>6</sup> = 64-IN — [[Type-1 Hex|Type-1]]
-The total infrastructure must be divided into these seven options, plus zero, when distributing that infrastructure into the subordinate hex group of seven prime hexes... recognising that multiple combinations are possible for most infrastructure totals above 1.  '''For example''', 3 infrastructure divided into seven hexes may be, according to the assigned order of the hexes.  These combinations might be either 2-1-0-0-0-0-0 or 1-1-1-0-0-0-0.  For a total infrastructure of 8-IN, there are nine possible combinations, and for 42-IN, there are twenty-nine possible combinations. The chance of any specific combination occurring, regardless of the total, is always equal. This means that for a total of 42-IN, any of the 29 possible distributions has an equal probability of being selected.
+The total infrastructure must be divided among these seven options, plus zero, when distributing that infrastructure into the subordinate hex group of seven prime hexes, recognising that multiple combinations are possible for most infrastructure totals above 1. '''For example''', 3 infrastructure divided into seven hexes may, according to the assigned order of the hexes, produce either 2-1-0-0-0-0-0 or 1-1-1-0-0-0-0. For a total infrastructure of 8-IN, there are nine possible combinations; for 42-IN, there are twenty-nine. The chance of any specific combination occurring, regardless of the total, is always equal. Thus, for a total of 42-IN, each of the 29 possible distributions has an equal probability of being selected.
 [[File:Hex Generator.jpg|right|490px|thumb|Hex generator]]
-A [https://docs.google.com/spreadsheets/d/1OD6XRL4yDHfS5N0F7SFIspfWpy72bYB2/edit#gid=1269951915 generator] in Excel has been created to automatically perform both tasks simultaneously: assigning the order of the prime hexes and randomly distributing infrastructure across them. The result is expressed as 'types,' ranging from type-8 to type-1.  The file includes various flotsam and jetsam that can be ignored.
+A [https://docs.google.com/spreadsheets/d/1OD6XRL4yDHfS5N0F7SFIspfWpy72bYB2/edit#gid=1269951915 generator] in Excel has been created to perform both tasks automatically: assigning the order of the prime hexes and randomly distributing infrastructure among them. The result is expressed as '''types''', ranging from type-8 to type-1. The file also includes various flotsam and jetsam that can be ignored.
-By inserting the infrastructure number into the yellow box and pressing return, the resulting hex types are generated, showing how many of each type are present. Seven boxes then display how these hexes can be randomly arranged. In the example shown, the single type-4 hex is placed in 'Hex D,' with the corresponding box below marked as '1st.' The single type-5 hex is placed in the '2nd' hex, which is 'Hex G,' the central hex. The remaining hexes are all type-8, which are distributed across the other five hexes.
+By entering the infrastructure number into the yellow box and pressing return, the resulting hex types are generated, showing how many of each type are present. Seven boxes then show how these hexes are randomly arranged. In the example shown, the single type-4 hex is placed in "Hex D," with the corresponding box below marked "1st." The single type-5 hex is placed in the "2nd" hex, which is "Hex G," the central hex. The remaining hexes are all type-8 and are distributed among the other five hexes.
-The resulting hex types are then assigned, in order, to the hexes labeled 1st, 2nd, 3rd and so on. For example, with a total of 12 infrastructure, the type-4 hex is placed in Hex D, the type-5 hex in Hex G, and the remaining five type-8 hexes are distributed across the other hexes.
+The resulting hex types are then assigned, in order, to the hexes labelled 1st, 2nd, 3rd and so on. Thus, with a total of 12 infrastructure, the type-4 hex is placed in Hex D, the type-5 hex in Hex G, and the remaining five type-8 hexes are distributed among the other hexes.
-If an infrastructure result is impossible to create — such as when the powers of 2 cannot sum to 191 — the hex is counted as the next possible lower number, in this case, 190. The highest possible number, 448, accounts for all possible infrastructure values above that, resulting in a group of seven type-1 hexes. These scenarios are handled automatically by the generator.  Hex groups of this size and greater are considered fully civilised.
+If an infrastructure result is impossible to produce, such as when the powers of 2 cannot sum to 191, the hex is treated as the next lowest possible number, in this case 190. The highest possible number, 448, also accounts for all infrastructure values above that, resulting in a group of seven type-1 hexes. These cases are handled automatically by the generator. Hex groups of this size and larger are considered fully civilised.
-== Hex Types ==
+== Coastal Areas ==
 See also,<br>
 [[Mapmaking]]<br>
 [[Talk:Hex Group]]
 [[Category: Incomplete]]

@@ Line 3: / Line 3: @@
 [[File:Divided 20-mile hex.jpg|left|280px|thumb|'''Showing the 7 prime hexes within the 20-mile hex'''.]]
-This means of subdividing hexes can be used to expand details of the game world as desired, for 6-mile hexes can similarly be subdivided into [[2-mile Hex Map|2-mile hexes]], which can be reduced progressively into "[[Land Hex|land hexes]]" (1,304 yards), [[Village Hex|village hexes]] (434 yards), [[Block Hex|blocks]] (145 yards), [[Sub-block Hex|sub-blocks]] (48 yards) and [[Lot Hex|lots]].  This allows us to map virtually anything.
+This means of subdividing hexes can be used to expand details of the game world as desired, for 6-mile hexes can similarly be subdivided into [[2-mile Hex Map|2-mile hexes]], which can be reduced progressively into [[Land Hex|land hexes]] (1,304 yards), [[Village Hex|village hexes]] (434 yards), [[Block Hex|blocks]] (145 yards), [[Sub-block Hex|sub-blocks]] (48 yards) and [[Lot Hex|lots]].  This allows us to map virtually anything.
 == Distributing Groups ==

@@ Line 3: / Line 3: @@
 [[File:Divided 20-mile hex.jpg|left|280px|thumb|'''Showing the 7 prime hexes within the 20-mile hex'''.]]
-This means of subdividing hexes can be used to expand details of the game world as desired, for 6-mile hexes can similarly be subdivided into [[2-mile Hex Map|2-mile hexes]], which can be reduced progressively into "[[Plough Hex|plough hexes]]" (1,304 yards), ¼-mile hexes (434 yards), [[Block Hex|blocks]] (145 yards) and [[Sub-block Hex|sub-blocks]] (48 yards).  This allows us to map virtually anything.
+This means of subdividing hexes can be used to expand details of the game world as desired, for 6-mile hexes can similarly be subdivided into [[2-mile Hex Map|2-mile hexes]], which can be reduced progressively into "[[Land Hex|land hexes]]" (1,304 yards), [[Village Hex|village hexes]] (434 yards), [[Block Hex|blocks]] (145 yards), [[Sub-block Hex|sub-blocks]] (48 yards) and [[Lot Hex|lots]].  This allows us to map virtually anything.
 == Distributing Groups ==

← Older revision		Revision as of 20:30, 31 January 2025
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−	See [[Mapmaking]]	+	See also,
		+	[[Mapmaking]]

	[[Category: Incomplete]]		[[Category: Incomplete]]

← Older revision		Revision as of 20:11, 31 January 2025
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	See [[Mapmaking]]		See [[Mapmaking]]
		+
		+	[[Category: Incomplete]]

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 When assigning infrastructure, the original number is divided according to powers of 2: 2<sup>0</sup>, 2<sup>1</sup>, 2<sup>2</sup>, 2<sup>3</sup> and so on... while assigning empty hexes zero infrastructure.  That is,
-:* 0 = 0 infrastructure (0-IN) — [[Type-8 Hex|type-8]] (see "[[Hex Group#Hex Types|Hex Types]]" below)
+:* 0 = 0 infrastructure (0-IN) — [[Type-8 Hex|Type-8]] (see "[[Hex Group#Hex Types|Hex Types]]" below)
-:* 2<sup>0</sup> = 1-IN — [[Type-7 Hex|type-7]]
+:* 2<sup>0</sup> = 1-IN — [[Type-7 Hex|Type-7]]
-:* 2<sup>1</sup> = 2-IN — [[Type-6 Hex|type-6]]
+:* 2<sup>1</sup> = 2-IN — [[Type-6 Hex|Type-6]]
-:* 2<sup>2</sup> = 4-IN — [[Type-5 Hex|type-5]]
+:* 2<sup>2</sup> = 4-IN — [[Type-5 Hex|Type-5]]
-:* 2<sup>3</sup> = 8-IN — [[Type-4 Hex|type-4]]
+:* 2<sup>3</sup> = 8-IN — [[Type-4 Hex|Type-4]]
-:* 2<sup>4</sup> = 16-IN — [[Type-3 Hex|type-3]]
+:* 2<sup>4</sup> = 16-IN — [[Type-3 Hex|Type-3]]
-:* 2<sup>5</sup> = 32-IN — [[Type-2 Hex|type-2]]
+:* 2<sup>5</sup> = 32-IN — [[Type-2 Hex|Type-2]]
-:* 2<sup>6</sup> = 64-IN — [[Type-1 Hex|type-1]]
+:* 2<sup>6</sup> = 64-IN — [[Type-1 Hex|Type-1]]
 The total infrastructure must be divided into these seven options, plus zero, when distributing that infrastructure into the subordinate hex group of seven prime hexes... recognising that multiple combinations are possible for most infrastructure totals above 1.  '''For example''', 3 infrastructure divided into seven hexes may be, according to the assigned order of the hexes.  These combinations might be either 2-1-0-0-0-0-0 or 1-1-1-0-0-0-0.  For a total infrastructure of 8-IN, there are nine possible combinations, and for 42-IN, there are twenty-nine possible combinations. The chance of any specific combination occurring, regardless of the total, is always equal. This means that for a total of 42-IN, any of the 29 possible distributions has an equal probability of being selected.