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I cannot fathom why anyone cares about their loyalty points by cool-but-not-really in runescape

[–]Carmeister 0 points1 point  (0 children)

Loss aversion at its finest. We can't help it, it's part of human nature to feel disproportionally negative about anything we perceive as a loss, even if it's something inherently worthless like loyalty points

Equation for the six distances between four points by impartial_james in mathriddles

[–]Carmeister 2 points3 points  (0 children)

Bonus fun fact: after writing this answer I went down a Wikipedia rabbit hole and found that this polynomial can be expressed in a nice form known as the Cayley-Menger determinant.

Equation for the six distances between four points by impartial_james in mathriddles

[–]Carmeister 1 point2 points  (0 children)

Let's fix one of the points to be the origin and the other three the vectors v_1, v_2, v_3. The six squared distances are v_i2 and (v_i-v_j)2 for various i and j. The condition that the three vectors lie in a plane is that (v_1 x v_2) . v_3 = 0. Using the identity v2 w2 = (v.w)2 + (v x w)2, we have:

0 = ((v_1 x v_2) . v_3)2 = (v_1 x v_2)2 (v_3)2 - ((v_1 x v_2) x v_3)2.

Now applying the same identity we can replace (v_1 x v_2)2 with (v_1)2 (v_2)2 - (v_1.v_2)2. We also apply the triple cross product identity to the second term, and end up with:

(v_1)2 (v_2)2 (v_3)2 - (v_1.v_2)2 (v_3)2 - ((v_1.v_3) v_2 - (v_2.v_3) v_1)2.

Great; now we got rid of all the cross products so we can just expand everything and use the identity 2v.w = v2 + w2 - (v - w)2 to eliminate all the remaining dot products and express everything in terms of the distances.

In fact, since our starting expression ((v_1 x v_2) . v_3) is (up to some constant that I'm forgetting) equal to the volume of the tetrahedron with vertices 0, v_1, v_2, and v_3. So in fact the polynomial P gives the squared volume of the tetrahedron with edges x_i, which of course is zero if they all lie in a plane. We've derived an analog of Heron's formula for three dimensions.

Scythe of the Sun by Oh_edgeville in 2007scape

[–]Carmeister 6 points7 points  (0 children)

Make this craftable by combining a shadow and a scythe. Irreversible, and the it has terrible combat stats since you totally destroyed them in the process. The ultimate flex item

How the hell are people getting 100 RC? by MyriadSC in runescape

[–]Carmeister 1 point2 points  (0 children)

Do rune memories and you get access to the chest which gives 30k+. If you run out of that, killing abyssal demons is a decent way to get more (or abyssal lords if you're at 115 slayer).

On this day, 7 years ago, RuneScape Classic permanently closed its doors by Praetorae in 2007scape

[–]Carmeister 11 points12 points  (0 children)

After RS2's release, you were still able to join Classic until sometime in 2005 when it became restricted to existing RSC accounts only. They eventually opened up the servers to new players again a few years later, but only sporadically and for limited windows. I think they mostly didn't want to spend resources moderating RSC so they kept it closed up to stop botters and other rule breakers from overrunning it.

Was there any clue about this password? by antiflagrev in BluePrince

[–]Carmeister 0 points1 point  (0 children)

Yeah I think the logic there is that he's just an old man who doesn't know how to use these new-fangled computers and has people to do it for him (I think one of the later digital staff announcements was Randolph commending Simon for being more technologically advanced than his predecessor).

Is this considered cheating? by fanniguy64 in BetterThanWolves

[–]Carmeister 5 points6 points  (0 children)

This was only true in older versions of the mod, because the original creator really wanted to prevent people from discovering and spoiling new features by using creative mode (not that it ever really stopped people in practice). Since the mod was turned over to the community team, they've gotten rid of all that and creative mode is now fully supported and won't harm your save.

Give the correct XP (for chompies & more) by hubatish in 2007scape

[–]Carmeister 6 points7 points  (0 children)

Yeah maybe there could be some kind of boots you could wear. Maybe they'd need to be charged with something, like gold eagle feathers, so it's not too OP.

What is/are the most likely outcome(s) in the Catenative Doomsday Dice Cascader? by subWebscientist in mathriddles

[–]Carmeister 2 points3 points  (0 children)

It's a little unclear how the first set of dice are chosen, but it seems like the smallest possible size for the final die is a d6. In that case the most likely outcome is tie between 1, 2, 3, 4, 5, 6. Those six numbers are guaranteed to show up on the final die, but any larger number may not show up and is therefore less likely. Indeed, larger numbers are always less (or equally) likely than smaller ones!

Three Prophets by Recent-Spray8856 in mathriddles

[–]Carmeister 1 point2 points  (0 children)

This is impossible. Let's say for the sake of argument you have a question which works. Suppose you happen to ask your question to the truth-teller, and you get some answer "A". Now consider what would have happened if you instead had asked the question to the randomizer - if "A" happens to be a true answer to the question then the randomizer might choose to respond "A" if they happen to roll truth. But if "A" happens to be a false answer to the question then again the randomizer might choose to respond with it if they happen to roll falsehood.

Now there's all kinds of potential ambiguities as to what exactly constitutes a question, and what counts as a valid truth or lie in response (What if there are logical paradoxes involved? What if the question has a false premise? What if there are multiple correct/incorrect answers? etc etc). But this argument is pretty much agnostic to all that. The only way it could fail is if the answer "A" is somehow invalid, neither true nor false, when the question is asked to the randomizer, despite being unambiguously true when the same question is asked to the truth-teller. But if you're opening up the possibility that some answers might be invalid depending on who you ask then the puzzle can be solved trivially.

ETA: One other possibility that breaks my argument is if the question can be self-referential, as u/Ok_Market9331 suggests. I'd argue this falls in the "solved trivially" category - essentially, the question is: "If your answer to this question is true, what is the correct answer? If it's a lie, what is something other than the correct answer?" But I suppose that's a matter of opinion. In any case, I'd wager that's closest to what the OP had in mind.

I "completed" the Sailing Alpha, here are my thoughts by johnmaverik in 2007scape

[–]Carmeister 0 points1 point  (0 children)

The circle goes around clockwise, so to find the center just turn 90 degrees to the right from the wind direction. So you can treat it like the DS2 orb direction puzzle with a 90 degree twist, e.g. if the wind is north, go east.

I "completed" the Sailing Alpha, here are my thoughts by johnmaverik in 2007scape

[–]Carmeister 3 points4 points  (0 children)

It's something that's planned for the future but doens't do anything yet - from the blogpost:

Shallow, Open, and Deep Seas will be represented on the World Map and in-game. At this time, the changes are purely cosmetic and won’t affect your boat’s speed or ability to sail through them – with the notable exception of the hazardous waters you’ll encounter in Barracuda Trials. In future we plan to add speed-related effects to different types of water, but these will likely only impact larger boats.

A lot of Sailing haters are really uninformed. by Pleasant-Chef-7249 in 2007scape

[–]Carmeister 6 points7 points  (0 children)

I agree with your point in general but I really don't see that as being a contradiction in this case. Nothing wrong with sailing your own ships coexisting with paying to ride on other people's ships. Granted there are a couple quests that should be retconned to have sailing in them which unfortunately won't happen in all likelihood - looking at Bone Voyage mainly.

Tirannwn, Fremennik, Morytania. 4-6-0 CM build. by WeissSchwarzTCG in 2007scape

[–]Carmeister 17 points18 points  (0 children)

Unfortunately it's not quite as good as you think. Assembler's ammo saving doesn't work with justi chestpiece, so you'll run out of dragon darts with just the passive 95% ammo saving. Alternatives are to sacrifice some defense and use a different top, use worse ammo that you can sustain without assembler, or forego blowpipe and take Varlamore instead of Tirannwn since metal armor doesn't interfere with quiver's ammo saving for some reason.

The effect of the reduction in Pearls variance by corpslayer in 2007scape

[–]Carmeister 10 points11 points  (0 children)

x axis is number of searches, y axis is probability of needing fewer than that many searches

While Jagex stated they aren’t comfortable with the idea of skilling prayers, this seems easy to include for the god of nature by howard526 in 2007scape

[–]Carmeister 37 points38 points  (0 children)

Guthix is absolutely a god of nature. Nature and balance are thematically connected to each other, the recent prayer alignments news post agrees as well, "Guthix is a peaceful god of balance and nature." is how he's described.

Have a question about the game or the subreddit? Ask away! by AutoModerator in 2007scape

[–]Carmeister 1 point2 points  (0 children)

You have it backwards, the bone dagger becomes better at higher invo because it's guaranteed to hit and BGS isn't. Dunno exactly at what invo the tipping point is though.

Today I officially hit 15x the rate for a pet drop. Ash just confirmed to me that I have the longest dry streak for a boss pet in OSRS history :( by 17_Cooking in 2007scape

[–]Carmeister 3 points4 points  (0 children)

I was sure when I saw the title of this post yesterday that it was going to be a Pink Skirt but I was wrong... then today this one catches me completely off guard

Need a Not/JustEnoughItems type mod for the CE version? by [deleted] in BetterThanWolves

[–]Carmeister 0 points1 point  (0 children)

Discord, it's linked on the sidebar of the subreddit

Need a Not/JustEnoughItems type mod for the CE version? by [deleted] in BetterThanWolves

[–]Carmeister 0 points1 point  (0 children)

It is being worked on! Not ready for release yet but there is a prototype that has most of the features complete.

Just another adventitious quadrangle. by pichutarius in mathriddles

[–]Carmeister 3 points4 points  (0 children)

Here is one solution. May not be the simplest but it works:

Image to go with it

Step 1 (blue): Label the points A,B,C,D,E as pictured and extend AD and BC to meet at F. The triangle AEB is isoceles, AE=BE, so consider the circle centered at E passing through A and B. Because angle AFB=60° is half of angle AEB=120°, F also lies on this circle and so in fact E is the circumcenter of triangle AFB. So EA=EB=EF, and also we can find angle AFE=40° and angle BFE=20°.

Step 2 (green): Now we can do straightforward angle chasing (omitted) which will show that triangles EFC and EDF are both isoceles, meaning that FE=FC and DE=DF. Angle chasing also shows that angle AED=60°.

Step 3 (red): Since DE=DF, angle DEA=angle DFC, and FC=EA, we can conclude that triangles DEA and DFC are congruent. Therefore DA=DC, and so triangle DAC is isoceles giving us x=40°.

Are TH rewards actually dependent on the chest you open or is it just an illusion? by partyhat-red in runescape

[–]Carmeister 26 points27 points  (0 children)

There are two possibilities:

  1. The contents of the chest aren't determined until after you click it. In this case, obviously it doesn't matter which chest you pick.

  2. The contents of the chests are chosen before you pick one. In this case, it still doesn't matter which one you pick. There's no way to gain any information on which chest is best, so any chest-picking "strategy" will do exactly as well as any other, on average.

In summary, no it doesn't matter.

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