Fleeting Whisper

The image it saved to the screenshots directory also stores metadata about where you were when you took the shot, and who was nearby.

Not necessarily. Rather than "screenshotui 0$$screenshot" and "screenshotui 1$$screenshot", you could leave Print Screen as is (by default, "screenshot"), and make a bind of "screenshotui 1$$screenshot$$screenshotui 0"

Like this?

Especially since it literally serves NO purpose for heroes.

What would you do if no one ever told you bullets travel in a straight line?

Or, make your own SG, don't invite anyone into it, and put in a mission computer yourself.

But unless I'm reading your previous post wrong (and I'm beginning to think it may have been a typo in the first place), you've claimed that the length of the line segment A'B' is equal to the x-coordinate of the original point P. Which, frankly, can only be possible in two cases: P lies on the z-axis, or O and P are both infinitely far from the plane.

Of course changing the FOV will distort the projection. Changing the FOV changes the calculations used for the projection. That's why FOV is only changed when distortions are intended. But given a constant FOV, there's no warping.

'D' is for 'Diploma'!

Did you consider 'insensate'? Among other meanings, it means 'without senses'

I always thought of Jubilee as a southern/hick word for a party. (Which, honestly, matches the character's power to produce fireworks...)

I looked it up just now, and apparently the word actually means a year for rest occurring every 50 years (from the Old Testament), or a holy year when you're supposed to make a pilgrimage to Rome (Roman Catholicism).

You lost me here. How, exactly, is that so?

And we told you there's no sphere involved...

I'm not sure what distortion you're referring to?

I think I've got one name in my stable of characters that wouldn't produce anything from an internet search. Everything else is either made of real, common words, real, common names, or simple constructs that take seconds to come up with.

I mean, I got Negavulcan Airslayer. You're not gonna get more comic-booky than that unless you require something of the form [Mr./Ms./Mrs./Miss/Captain] [Descriptive noun or adjective].

My Thugs/Dark MM has Fearsome Stare (not an attack, but a cone nonetheless) frankenslotted for Accuracy, Tohit Debuff, Fear Duration, Recharge, Endurance, and Range

HeroStats
City Info Tracker
Mids' Hero Designer

>.>
<.<

I'm a baaaad man!

You've got a line, defined by the points E and P. You've got an infinite plane. Assuming EP is not parallel to the infinite plane, it will intersect that plane somewhere. That's Pnew.

When projecting to a screen, the intersection may be outside the range of the screen, but that's part of the rendering algorithm, not the projection math.

I'm not using a vector space; I'm using R3, the three-dimensional space of real numbers. Displacements in R3 do form a vector space, but that's a subset of what I'm working with.

Point and vector are not interchangeable, though many computer applications will use the same structure for both of them, since they store the same data (x, y, and z coordinates). The main problem is that points and vectors have a different set of operations defined for them. If you multiply a constant by a vector, you modify the magnitude of the vector. But what does it mean to multiply a constant with a point? Similarly, you can add vectors (resulting in a new vector), or you can add a vector and a point (resulting in a translated point), but adding two points together has no meaning.

20% more accurate than the player version (on top of bonuses from being an EB or being higher level than you)

I'm not sure where I specifically said, the product of two vectors, but yes, I'm generally using scalar/dot product in the equations. There are a few occasions where I use matrix product between a row and column vector, and of course I also use normal multiplication.

In my equations above, a simple space between two variables (or two parenthesized equations next to one another with no separating figures) means scalar multiplication (scalar times a vector, or product of two scalars). The center dot symbol ( · ) I've been using for dot product. And the asterisk (*) I use for matrix product.

It doesn't matter. Pnew is just the point where EP intersects the plane.

The difference between two points is a vector between the two points (A - B = v; v extends from B to A)
The sum of a point and a vector is a point translated by a vector (A + v = B; B is A translated by v)

E - P is a vector. c is a scalar. Scalar times a vector is a vector in the same direction with greater magnitude. So, E - P = v1 (a vector), c v1 = v2 (another vector), P + v2 = Pnew (a point)

It may be easier to consider it as a mass-point. {x, y, z, w} is a point {x, y, z}, with mass w. In R3, points have a mass of 1, and vectors have a mass of 0.

And yes, I did up my display images in Mathematica

Um... what? O.o

I've seen some pretty out-there ideas, but I think you just hit the ball out of the atmosphere.

On the contrary, I'm not being theoretical at all, and have experience playing a sapper character. My problem with the sapping playstyle is that by the time it's done any good, the enemies would already be dead if you'd built for damage instead of endurance drain.

Of course, since 100% KB resistance is equivalent to infinity KB protection (with the exception of the extremely rare non-resistable KB powers), and since almost every KB protection power offers 10,000% KB resistance...

Of course, you're correct here. I wrote that post on my way out the door, and made some mistakes

The image of a point P under perspective projection from the eye point E to the plane defined by point Q and normal n is the intersection of the line defined by E and P with the plane:


Perspective projection is not well-defined for every point (if the line EP is orthogonal to n, then it will never intersect the plane), and it is not well defined for every vector (vectors store direction, not position).

The equation defining Pnew is:


Since Pnew lies on the line EP, there is some constant c such that Pnew = P + c (E - P)

Since Pnew also lies in the plane, Pnew - Q must be perpendicular to n; therefore, (Pnew - Q) · n = 0

Making the substitution, we get (P - Q) · n + c (E - P) · n = 0, therefore

and


Because perspective projection is not a linear transformation, it requires a 4x4 matrix instead of a 3x3 matrix, and the point being transformed needs to be homogenized (the point {x, y, z} becomes {x, y, z, 1}). Because perspective projection is a rational function rather than an affine transformation, the fourth column of the 4x4 matrix cannot be {0,0,0,1}. Instead, the denominator weights are stored in the fourth column.

Homogenous coordinates {x, y, z, w} represent the rectangular coordinates {x / w, y / w, z / w}. Given point P = {x, y, z} and 4x4 transformation matrix A = aij:
xnew = a11 x + a21 y + a31 z + a41
ynew = a12 x + a22 y + a32 z + a42
znew = a13 x + a23 y + a33 z + a43
wnew = a14 x + a24 y + a34 z + a44

This results in the homogenous coordinates {xnew, ynew, znew, wnew}, which represents the point {xnew / wnew, ynew / wnew, znew / wnew}

Using homogenous coordinates and the previous equation for Pnew, you can move the denominator to w, and so
Pnew = {(((E - Q) · n)(P - O) + ((Q - P) · n)(E - O), (E - P) · n}
= {(((E - Q) · n)(P - O) + ((Q - P) · n)(E - O), (O - P) · n + (E - O) · n}

Observe:

Where * represents matrix multiplication, vectors are treated as row vectors, n^T is the transpose of n (in other words, n as a column vector), and I is the 3x3 identity matrix.

From the above, the numerator of Pnew is

and the denominator is


Therefore, with the convention that the fourth homogenous coordinate and the fourth column is the denominator,

The fonts just do damage and KB. Weaken reduces both, but it doesn't reduce damage as much as Dark Miasma can, and it doesn't eliminate the KU from Psionic Tornado if you're already being affected by it.

Dark Miasma > Shadow Fall provides Psionic Resistance. And Psionic Tornado used by the fonts is tagged as an AoE_Attack, so AoE Defense works against it.