Hexxy Skies Book

The practitioners of this art would cast their so-called Hexes by drawing strange patterns in the air with a Staff -- or craft powerful magical items to do the casting for them. How might I do the same?

Navimancy 101

While various biological, mechanical, or otherwise media-infused creations are able to break from the environment, they are either physically restrained or unable to host solid construction. With the helping hand of the Naval Corps, I have devised methods of assembling and controlling portions of the world as rigid, separated physics objects called Ships.

Reference Spaces

World Space is the playable area where Ships are rendered and interacted with. Any forces or torques applied in World Space are considered global and will affect the Ships regardless of orientation or scale. Any offset is calculated from the Center of Mass in World Space.

Shipyard or Model Space is where the Ships actually exist and are referenced from. Any forces or torques applied in Model Space are considered local and will affect the Ships depending on their orientation and scale. Any offset is calculated from the Center of Mass in Model Space.

Body Space is similar to Model Space but its Center of Mass is always (0, 0, 0).

Forces and Torques

Forces are linear pushes or pulls applied to a Ship at a given position offset from the Center of Mass in a given reference space.

Torques are rotational pushes or pulls applied to a Ship at a given position offset from the Center of Mass in a given reference space.

It appears I have installed some mods Hexcasting interoperates with! I've detailed them here.

Complex Navimancy

Identification Prfn. (ship → long)

Returns the Ship's ID as a Long.

Bearings Purification II (ship → quaternion)

Returns the Ship's orientation as a Quaternion.

Hexal Navimancy

Embark (ship →)

Moves the casting Wisp into Model Space.

Disembark (ship →)

Moves the casting Wisp into World Space.

Hexical Navimancy

Assemble (mesh →)

Takes a mesh and creates a Ship from its points. All positions must be in ambit. The cost is one shard per position.

Hexodus Navimancy

Gravitate (ship, axis_angle, num →)

Takes a Ship, an axial vector for new gravity, and a strength scalar relative to standard pull.

Grasp Purification (ship → num)

Pushes the remaining twentieths of a second that Gravitate will affect a Ship. Zero if the Ship is not under the effects of Gravitate.

Falling Purification (ship → vec)

Pushes the direction that Gravitate is attempting to drag a Ship, or Null if the Ship is not under the effects of Gravitate.

Impact Purification (ship → num)

Pushes the scaling factor of Gravitate's gravity compared to baseline, or Null if the Ship is not under the effects of Gravitate.

Falling Purification II (ship → vec)

Pushes the direction of Gravity acting on a Ship.

Impact Purification II (ship → num)

Pushes strength of Gravity acting on a Ship compared to baseline.

More Navimancy

Boatwright's Prfn. (ship → string)

Returns the Ship's slug

Inertia Purification (ship → matrix)

Returns the Ship's moment of inertia tensor as a 3x3 matrix.

Windward Purification (ship → matrix)

Returns the Ship's World-to-Ship 4x4 transformation matrix.

Leeward Purification (ship → matrix)

Returns the Ship's Ship-to-World 4x4 transformation matrix.

A list of all the patterns I've discovered, as well as what they do.

Practical Navimancy

Deckhand's Purification (vec → ship)

Takes a position on a Ship and returns the associated Ship.

Zone Dstl.: Ship (vec, num → [ship])

Analogous to Zone Distillation, but instead returns a list of Ships.

Ship Compass Prfn. (ship → vec)

Analogous to Compass Purification, but instead returns the position of a Ship's Center of Mass in World Space.

Ship Compass Prfn. II (ship → vec)

Analogous to Compass Purification, but instead returns the position of a Ship's Center of Mass in Model Space.

Tonnage Purification (pos | ship → num)

Takes either a Ship or a block location and returns the Ship's mass and the block's mass respectively.

Bearings Purification (ship → vec)

Returns the Ship's orientation as Euler Angles using the YXZ reference frame in radians.

Magnification Prfn. (ship → vec)

Returns the Ship's current scale.

Gait Purification (ship → vec)

Returns the Ship's linear velocity.

Gait Purification II (ship → vec)

Returns the Ship's angular velocity.

Site Purification (ship → vec, vec)

Returns the minimum and maximum corners of the Ship's AABB in Model Space.

Maybe using this with Hexstruction would allow you to disassemble the Ship...

Patterns and actions that perform a magical effect on the world.

Applied Navimancy

Assemble ([pos] →)

Takes in a list of positions to use to create a Ship. All positions must be in ambit. The cost is one shard per position.

Nature's Amusement (ship, num →)

Scales the given Ship to the given size. The size must be between 1/16th and 16. Cost is one Shard times the size difference.

Nature's Push (ship, force, pos →)

Applies a Force at a given World Space position. The position is any offset from the Center of Mass in World Space.

Nature's Twist (ship, torque →)

Applies a Torque at a given World Space position. The position is any offset from the Center of Mass in World Space.

Shipyard's Push (ship, force, pos →)

Applies a Force at a given Model Space position. The position is any offset from the Center of Mass in Model Space.

Shipyard's Twist (ship, torque →)

Applies a Torque at a given Model Space position. The position is any offset from the Center of Mass in Model Space.

Helmsman's Push (ship, force, pos →)

Applies a Force at a given Body Space position. The position is any offset from the Center of Mass in Body Space which is always (0, 0, 0).

Helmsman's Twist (ship, torque →)

Applies a Torque at a given Body Space position. The position is any offset from the Center of Mass in Body Space which is always (0, 0, 0).

This is the online version of the Hexxy Skies documentation.

Getting Started