How do I find the roll, pitch, and yaw angles of a plane (/or a plane that coincides with 3 points in space ) in 3D?

Imagine that we have 3 points (P1,P2,P3). P1,P2,P3 creates a plane in 3D space. Let’s say the plane equation is Ax+By+Cz+D=0. How can I find the roll, pitch, yaw angles of this plane?
R(r,p,y)=Rz(y)Ry(p)Rx(r) order or any other order .

dnd 5e – if you use Enhance Ability: Cat’s Grace on a creature that rolls initiative, does that creature lose the better roll when the spell ends?

The enhance ability spell states:

(…) The target has advantage on Dexterity checks. (…)

And the section on Initiative states (emphasis mine):

(…) When combat starts, every participant makes a Dexterity check to determine their place in the initiative order. (…)

(…) The DM ranks the combatants in order from the one with the highest Dexterity check total to the one with the lowest. This is the order (called the initiative order) in which they act during each round. The initiative order remains the same from round to round. (…)

Outside of initiative explicitly remaining the same, this also just makes sense. The game does not tell you to record the rolls you make when rolling with (dis)advantage so it should not expect you to remember a result from quite possibly hours ago (real-time). The result of a roll you already made does not change by new modifiers being added. Similarly, casting enhance ability on somebody during combat does not suddenly allow them to reroll their initiative with advantage.

statistics – When aiming to roll for a 50/50, does the die size matter?

I noticed how D&D 5e’s Hexblade Warlock subclass feature Armor of Hexes imposes a chance to miss regardless of the attacker’s roll. That chance is based on a d6: if it’s a 4 or higher it misses, and anything else it hits if the attack should have hit. To my understanding, this is simply a 50/50 roll on the d6 (success on 4, 5, 6, failure on 1, 2 and 3).

Out of curiousity, does it matter if the dice is a d4, d8, or even d100, as long as it’s an even-sided die and that it’s still 50/50? (On a d4 it would be a success on a 3 and 4, on a d10 it’s 6 and up, and so on.)

How is the vaccine roll out in your country?

Up here in Canada we have vaccinated a grand total of 171,751 people as of Jan.6 a.m. 2021. This is out of a population of 36,000,000. To date we have begun to vaccinate seniors in long term care homes, and natives on native reserves.
The plan is to hit these groups first as they are the most impacted. After that we are going to get to our health care providers, then the over 80 crowd. Following these we are going to go in 5 year increments, that is to say 75-79 then 70-74, then 65-69, after that we hit the general population.

Canada is vowing to have everyone who wants the Covid-19 vaccine vaccinated by June. So far the Pfifer and the Moderna vaccine are being used. We expect the Astra-Zeneca vaccine to be approved this week, with the Johnsons & Johnsons vaccine approved next month.

So how is the vaccine roll out progressing where you are? Israel is now leading the world with 17% of it’s population immunized, quite impressive.

unreal 4 – How to use X,Y, and Z instead of Pitch, Roll and Yaw

I’m learning Unreal engine, and I’m rather disappointed because it uses pitch roll and yaw instead of the standard x, y, and z that I’m used to. Is there any way to convert this easily, or is there a preference, or do I have to get used to using y,z,x, instead of x,y,z.

It is not game breaking

It is not even a house rule. Rolling initiative for each participant explicitly described in the PHB:

When combat starts, every participant makes a Dexterity check to determine their place in the initiative order

The DM makes one roll for an entire group of identical creatures

So if creatures are identical, the DM makes one roll for them.

You, the DM, claimed that

They are still different creatures which may react with different speed

As being said by the DM, these participants are different creatures, therefore they are not “identical”, therefore each makes a Dexterity check to determine their place in the initiative order.

The rules serves you, not vice versa

DMG Chapter 8: Running the Game

The rules allows you, the DM, to decide when the creatures are identical to that extend they have the same initiative. You either make them having the same initiative or roll individually, your choice. It is not “a possibly game-breaking house rule”, it is how the game is supposed to work.

Using the same initiative is a tool for easier initiative tracking, not for making encounters more balanced. Quite the opposite, sharing the same initiative can make the group’s first attack substantively stronger. That’s why Volo’s Guide to Monsters suggests to ignore this rule for Kobolds, for instance (see Richard C answer for details).

dnd 5e – Does the duration of the invisibility from the Firbolg’s Hidden Step trait allow me to make an attack roll with advantage on the following turn?

The firbolg’s Hidden Step trait (VGtM, p. 107) is described as being active “until the start of your next turn” at most:

As a bonus action, you can magically turn invisible until the start of your next turn

I’m unclear on the exact mechanics of turn starts. For instance, if I use Hidden Step as a bonus action at the end of my turn, would the invisibility stay active for my next attack?

My initial reading was “no” as the trait would stay active from when I use it, into the next round, and drop as soon as my turn came up in the initiative order. I would then become visible, and take my action. This also gels conceptually: I can use Hidden Step to protect myself from combat for a round, or I can use it to gain advantage on an attack. But I can’t use it for both.

However, I’ve also read that advantage for invisibility is determined at the start of the round, and thus the advantage would in fact carry over to the next round’s attack, as if I was attacking from hiding or something similar.

Which is it, and what source would resolve it?

iphone – Why I can browse my photo library (camera roll) in iOS 14.3 with Wish mobile app with no permission?

I am having an iPhone with iOS 14.3. According to Apple https://support.apple.com/guide/iphone/control-access-to-information-in-apps-iph251e92810/ios I can control access of mobile app to my photo libraries. Apparently it works with WhatsApp, Skype Adobe and other apps. I have made access of all apps to my photo gallery as NONE in Apple iOS SETTINGS -> PRIVACY -> PHOTOS.

I had installed Wish mobile app version 4.33.2 (Dev Context Logic Inc.) to make online purchases. Recently I have to contact Wish support and I have to upload an image from my mobile photos. When I click “Upload button”, 3 options were available, i.e., “Photo Library”, “Take Photo” and “Browse”. I selected “Photo Library”.

I was expecting a dialogue to ask permission to my photo library, but surprisingly, it didn’t ask and I could view all my photo available to upload. I immediately checked list of apps that has requested access to PHOTOS in my mobile privacy settings, but I cannot see the name of Wish mobile app listed there. I went to Apple settings and checked the Wish mobile app settings where I can only see Siri, Notifications, Mobile Data (in Allowed Wish to access area) and Language options.

I then checked the option to “Take Photo”, so I got a pop up asking permission to Camera, which I did not gave. I also check the 3rd option, i.e. “Browse” and WoW I was able to access browse with Files app into my phone storage, OneDrive and iCloud drive. Amazing! 😱

I am unable to understand that how come Wish mobile app can access the mobile photos without requesting the access

pathfinder 1e – (Occult Adventures) When do I roll my saves when opening/maintaining Chakras?

As far as I can tell it isn’t specified whether you make the save during the swift action but before benefiting from the Chakra(s), during the swift action but after benefiting, or at the end of your turn. Mainly I’d like to know if the Crown Chakra’s “roll twice on all d20’s and take the higher result” boon would apply to the Fortitude & Will saves on the turn it gets opened.

statistics – How to handle degrees of success in roll under systems

I’m working on an RPG system that uses 2d6 roll under Skill for resolutions. On paper this system looks really good so
far, but I have one major issue: Degrees of Success, especially when it comes to Contest (Skill vs Skill) resolutions.

Status Quo

Your character’s Attribute + Skill (e.g. Charisma + Persuasion) form a Target Number that’s between 2 and 12. You roll 2d6,
sum them, and the sum has to be equal to or lower than the Target Number. Rolling a 1 has a special positive meaning,
rolling a 6 has a special negative meaning. Additionally, 2 ones are always a success, 2 sixes are always a failure,
regardless of Skill.

The problem

Imagine 2 parties contesting each other:

• Character A has a Target Number of 5 (pretty bad), and character B has a Target Number of 10 (pretty good).
• Character A rolls a 5 and succeeds. Character B and rolls a 6 and succeeds.
• Character B has the better Degree of Success, as the margin between the player’s roll and the character’s Skill is
bigger than for Character A.

If you say that lower is better, a character with Target Number 2 (very, very bad), who rolled a 2, will always have
a better Degree of Success over a character with a Target Number 12 (very, very good), who rolled a 3.

Naive solution

My approach was to subtract the rolled number from the character’s Skill. You have a Target Number of 6 and rolled a 4?
`6-4=2`. You have a Target Number of 11 and rolled a 3? `11-3=8`. It works, but I’m worried that this resolution will be
too slow for actual play – we all know these sessions that last for hours and nobody is able to count straight anymore.

The best solution would allow a player to determine the Degree of Success/Failure in the same step to see if the
character succeeded or not.

Other systems

Other systems that handle Degrees of Success for rolling under mechanics:

• Call of Cthulhu: You have certain threesholds (half your skill, 1/5 your skill) at which you score an increased Degree of Success. – very coarse when you only have 2d6 instead of a 1d100 (but could work)
• Unknown Armies: Basically like Black Jack–you roll under your Skill threshold, but as high as possible. Doubles (11, 22, 33) are criticals. – sadly doesn’t work, as ones and sixes have a special meaning. Flipping the meaning (6 is good, 1 is bad) also is iffy, as it’s flipping the understanding, that you have to roll under a threshold.
• ???

What other systems or resolution systems are there, that tackle this problem?