Hextra Patterns Book

Vector Literals

Interestingly, flipping any Vector Reflection horizontally allows it to be subject to the same rules as Number Reflection. The direction of the head determines the direction, much like the tail of Vector Reflection.

Vector Rfln. +X/-X II (→ vector)

A head that sharply bends to the left will output a vector along the X axis.

Vector Rfln. +Y/-Y II (→ vector)

A head that doesn't bend will output a vector along the Y axis.

Vector Rfln. +Z/-Z II (→ vector)

A head that sharply bends to the right will output a vector along the Z axis.

Vector Rfln. +1/-1 II (→ vector)

A head that slightly bends to the left will output a vector where all 3 components are the same.

First, I draw one of the eight shapes shown on the prior pages. Next, the angles following will modify a running count starting at 0.

Forward: Add 1

Left: Add 5

Right: Add 10

Sharp Left: Multiply by 2

Sharp Right: Divide by 2.
The clockwise version of the pattern, on the right of the other page, will negate the value at the very end. (The left-hand counter-clockwise version keeps the number positive).

Once I finish drawing, the a vector's pushed to the top of the stack.

Example 1

This pattern pushes (10, 0, 0).

Example 2

This pattern pushes (0, 7, 0): 5 + 1 + 1.

Example 3

This pattern pushes (0, 0, -32): negate 1 + 5 + 10 * 2.

Example 4

This pattern pushes (4.5, 4.5, 4.5): 5 / 2 + 1 + 1.

Hextra Math

Radian Purification (number → number)

Converts an angle in degrees to an angle in radians. Essentially multiplies by pi then divides by 180.

Degree Purification (number → number)

Converts an angle in radians to an angle in degrees. Essentially multiplies by 180 then divides by pi.

Norm Purification (vector → vector)

Sets the length of the vector to one.

Pitch Distillation (vector, number → vector)

Rotates the vector by the given angle in radians around the X axis.

Yaw Distillation (vector, number → vector)

Rotates the vector by the given angle in radians around the Y axis.

Roll Distillation (vector, number → vector)

Rotates the vector by the given angle in radians around the Z axis.

Pitch Purification (number → vector)

Converts an angle in radians to a unit vector where X=0. +Z at 0 radians and +Y at pi/4 radians.

Yaw Purification (number → vector)

Converts an angle in radians to a unit vector where Y=0. +Z at 0 radians and -X at pi/4 radians. Some texts have mentioned something called F3, but I haven't been able to tell what that means.

Roll Purification (number → vector)

Converts an angle in radians to a unit vector where Z=0. -X at 0 radians and +Y at pi/4 radians.

Hextra Constants

Vector Rfln. +1/-1 (→ vector)

The left-hand counter-clockwise pattern adds (1, 1, 1) to the stack; the right-hand clockwise pattern adds (-1, -1, -1).

Hextra Logic

Maximus Distillation (vector, vector → bool)

If the first vector is longer than the second, return True. Otherwise, return False.

Minimus Distillation (vector, vector → bool)

If the first vector is shorter than the second, return True. Otherwise, return False.

Maximus Distillation II (vector, vector → bool)

If the first vector is longer or the same length as the second, return True. Otherwise, return False.

Minimus Distillation II (vector, vector → bool)

If the first vector is shorter or the same length the second, return True. Otherwise, return False.

Length Equality Dstl. (vector, vector → bool)

If the two vectors are the same length (within small tolerance), return True. Otherwise, return False

Length Inequality Dstl. (vector, vector → bool)

If the two vectors are not the same length (outside small tolerance), return True. Otherwise, return False

This is the online version of the Hextra Patterns documentation.

Patterns

Vector Literals

Vector Literals

Vector Rfln. +X/-X II (→ vector)

Vector Rfln. +Y/-Y II (→ vector)

Vector Rfln. +Z/-Z II (→ vector)

Vector Rfln. +1/-1 II (→ vector)

Example 1

Example 2

Example 3

Example 4

Hextra Math

Radian Purification (number → number)

Degree Purification (number → number)

Norm Purification (vector → vector)

Pitch Distillation (vector, number → vector)

Yaw Distillation (vector, number → vector)

Roll Distillation (vector, number → vector)

Pitch Purification (number → vector)

Yaw Purification (number → vector)

Roll Purification (number → vector)

Hextra Constants

Vector Rfln. +1/-1 (→ vector)

Hextra Logic

Maximus Distillation (vector, vector → bool)

Minimus Distillation (vector, vector → bool)

Maximus Distillation II (vector, vector → bool)

Minimus Distillation II (vector, vector → bool)

Length Equality Dstl. (vector, vector → bool)

Length Inequality Dstl. (vector, vector → bool)