Inspired By A Conversation With Ashiok In The Chat :-)

 All hearts that are gems do not glitter,      Not all those with blackbane are lost; Slaves that are old do not wither,      Rockbuds by the storm are not crushed. From the crem a fire shall be woken,      From the chasms a new hope shall spring; Renewed shall be Oaths that were broken,      Tanavast again shall be King.

Last night, taisharnumenore, Leinton and I reworked this J.R.R.Tolkien poem for the Stormlight Archive.  taisharnumenore posted it with the Bridge 4 patch, but this is the scene we really wanted to illustrate it with :-) (I also tweaked it slightly so the 4th line doesn't completely break the rhyme scheme..)

Rithmatics: Part 1

Hello!  I'm rather fascinated with Rithmatics (the magic system in Brandon Sanderson's The Rithmatist) at the moment, which means you are going to be getting a series of mathy posts.  They will all be tagged with #rithmatics .  I've been encouraged to add the cfsbf tag.  If this bothers anyone, please let me know.

In this first post we explore how all of the binding patterns for circular defenses can be derived from 9 point circles. You might be able to get everything from the pictures, but I give explanations as well.

9 Point Defenses

Let's start by talking about 9 point circles.  Start with a triangle.  Absolutely any triangle will do, but for 9 point defenses we want acute triangles (all angles less than 90 degrees) where all of the angles are distinct.  Mark the midpoints of each side and draw in the three altitudes (start at each vertex and draw the line perpendicular to the opposite side) of the triangles.  Mark the points where the altitudes intersect the sides of the triangles (there are 3 such points, one for each altitude).  Note that all of the altitudes meet a single point. Mark the midpoint of each segment connecting P to one of the vertices of the triangle.  This gives you three more points for a total of 9.  These 9 points will be distinct and lay on a circle.

This explains how to get the bind points for any 9-point defense.  However, not all defenses have 9 points.  These turn out to be very special cases of 9 point triangles where some of the points coincide.  

6 Point Defenses

To get 6 points, start with an equilateral triangle.  Any time two angles of a triangle have the same measure, the altitude from the third angle will bisect its opposite side.  Since all of the angles are the same here, all of the altitudes bisect their opposing sides.  This gives us a "9-point" circle with 6 evenly spaced points.

4 Point Defenses

This time we want an isosceles right triangle (you might know it better as a 45-45-90 triangle).  In right triangles, the legs are also altitudes, which means that the vertex at the right angle is also the point where the altitudes intersect each other. It is also the point where each leg "intersects" the other and the "half way point" between the intersection of the altitudes and itself, so it counts as 3 of the 9 points.  The resulting 4 points form a square and so are evenly spaced around the circle.

2 Point Defenses

This is the strangest case.  Here our triangle is degenerate - one of the sides has length 0, which means that the "triangle" is just a line.  To see how to follow the 9 point construction in this case, we can look at a limit.  Start with a really skinny isosceles triangle.  If you follow the construction, you get three points grouped near each approximately half way up the triangle.  The other 6 points are clustered down near the narrow base.  Now pretend the narrow point is a hinge and slowly close it. As you do, the three points in the middle get closer and closer together, the base gets narrower and narrower and the 6 points near it get closer and closer together.  In the limit this gives us a line segment and a circle which uses half of the line segment as a diameter

Alloy of Law:  make Sherlock and Watson vigilantes from the wild west and then send them to a steampunk city where they acquire a brilliant but somewhat naive badass girl apprentice.  Oh, and they all have magic.

Sisters

After some thought, she decided that the concept of loving siblings was a little like the Allomantic pulse lengths she was supposed to be looking for - they were just too unfamiliar for her to understand at the moment.

Oh, Vin. Your brother may have helped you survive, but he was a horrible, horrible brother. And she HAD a baby sister that their mom killed.  I can't even...

Vin still needs to have Lift as a little sister.  Then, one night when Shallan is out on a mission as Veil she needs to come across them and bring them in off the streets and eventually be accepted into their little group as the big sister. She would try to tame them somewhat and teach them things like writing, but they would spend just as much time corrupting Shallan.  They would create an alter-ego for Lift so that the Ladies Davar, Valette and [I'm still trying to come up with a good name] could go out together, but they would also create a third alter-ego for Shallan (beacuse they wouldn't want the ghostbloods to recognize Veil) so that they could sneak out in the streets together.

Now I really want to know if burning copper affects lightweaving at all... Can Vin see through lightweaving if she is burning copper? or maybe if she is burning tin? hmmm.... Also, if Shallan weaves a disguise for another Radiant, can they maintain it with their stormlight even if they aren't a light weaver?

Oathbringer thoughts: Eshonai

What if, just maybe, part of the point is that we are supposed to be angry and bitter about Eshonai’s death? Maybe, given what we know right now, it is supposed to come across as completely pointless. 

It seems like no one (except Timbre and sometimes Venli) cares. Eshonai’s death happens off screen and the only reason we get confirmation that she is dead is that Ulim guides Venli and Demid to her to retrieve the plate. We learned all the way back in WoK that scavenging from corpses goes against Listener culture, and yet here we are with Venli being forced to do so anyway. The only reason we even find Eshonai’s corpse is that Venli is being forced to do things that go against her culture. Eshonai is dead. Their culture is being erased. 

There are various parallels between the Listeners and the native peoples of the Americas. Far too often their plights are ignored. Indigenous women are murdered or go missing at disturbing rates and yet it almost never makes the news. Their deaths are horrible and pointless and it seems like no one cares. When they do get talked about it is almost always (at least from what I have seen) as an after thought. Much like Eshonai. Maybe that’s part of the point.

But you know what? Even with Eshonai dead, this isn’t the end of her story. Just because her death happened off screen doesn’t mean that will continue to be true. One of the next two books is going to give us Eshonai flashbacks. We are going to get to know her and her world better. And, I suspect, we are going to get to see that awful battle from her perspective and be with her as she falls into the chasm.  

Ulim says it looks like she drowned in the flood waters, but my guess is there is more going on. She had plate, a blade, and storm form. We know she was at least somewhat trained with the plate and blade. Kaladin and Shallan survived spending a high storm in the chasms when they were both a mess and Kaladin didn’t have his powers and Shallan was wary of hers. Eshonai should have had the tools to survive. I can imagine a heartwrenching scene coming where Eshonai knows that she could save herself using the power that she has in storm form, but fighting that power and rejecting it. Or Eshonai being given the chance during that first Everstorm to become a fused and choosing to die instead. Some kind of intense internal struggle where she makes the choice to die rather than give in to something she can’t accept. 

Her death will still be tragic. We can (maybe even should) still be angry that she died, but until we get her flashback chapters I’m going to cling to the hope that there is more going on than we currently know. 

I just finished Brandon Sanderson's The Rithmatist. Now, any time I read a fantasy novel with an interesting magic system, I imagine what it would be like to have said magic (don't we all?).  This magic system seems particularly well suited to me - it calls out to both my math and artistic sides.  I think I could make a rather good rithmatist.  The freaking 9 point circle is an important part of the magic system.  I can't even.  

I bet that the 6 point defenses don't actually require that the 6 points be equally spaced.  I bet they could actually be anywhere as long as you build the rest of the defense properly.  The Mystic Hexagon theorem has got to be relevant to this magic system.  I bet you can even use the Mystic Hexagon theorem to build 8 point defenses where the extra two points come from the line dictated by the Mystic Hexagon.  And when that line doesn't intersect the circle, it would be a natural (possibly required) place to put a Line of Forbiddance. There will probably be rithmatic drawings showing up here...

Also, my math notes often have non-math doodles in them.  <3 chalklings

Melody and Joel are fantastic. I like them a lot. There are things I need to process before you get more about them though.

oh god I'm back

I know, I know. I said I’d just step out for a second. Maybe touch some grass. Maybe not scroll for hours through a website that is basically a dopamine slot machine designed specifically for me. But here I am. Again.

So, hi. I’ve been avoiding Tumblr like it’s a cursed artifact because every time I log in, I lose entire days to posts about sad wizards, incredibly niche fandom memes, and, let’s be honest, pictures of adorable cute animals. But I return to you now, at the turning of the tide, because someone at a recent book signing mentioned that I really needed to talk to y'all in some other way than an 'automatic repost from my own site.'

Fair. It was never you. It was always me.

Now, that said, I'm still talking about FULL NEGATIVE, the scifi book that I'm crowding over on Backerkit, because, well, it's still live, and will be until April 11. I am actively trying to convince you all to throw money at it in exchange for an absolutely unhinged space opera full of telepaths, betrayals, sexy spies, and—because I’m me—an aggressively overcomplicated plot full of feelings. If we hit our stretch goals, we get more cool stuff. YOU get a very cool book. (And there is a limited edition, numbered version of the hardcover available that will ONLY be available through this crowdfunding campaign. Once that window is gone, it's gone FOREVER.)

If you like X-Men, Star Wars, Jason Bourne, or just generally enjoy watching characters make terrible decisions in space, this book is for you. And if you don’t like those things… honestly, what are you doing here? Go, live a better life. Read something wholesome. Avoid the pain I am about to unleash.

So yeah. Click the link, check out the Backerkit, and help me make this book a reality. And if you see me reblogging cat pictures at 2 a.m.? No, you didn’t. I’m totally working.

PSA for Mistborn Cosplay

I was at a craft store today (this is always a dangerous thing) and was looking for a thing on the baking supplies aisle and I made a connection:

If you ever want vials of things that look like metal that you can actually for real eat, this is where you should go. There is such a thing a powdered food coloring and it comes in metallics. There are also vials of things that are basically silver and gold food grade confetti.   

I'm not certain what kind of liquid I would suspend them in and you would still have to figure out how to pull off your special effects after drinking them, but there is a way to have vials of "metal" that aren't poison.

A is for Axehound.  As with dogs on Earth, Axehounds on are bred as pets on Roshar. For more information on Axehounds, visit the Coppermind page!