phil1882

your right, should be black, not red. (should alternate black red black red) for my second question, ignoring the outer most layer (my solution spoiler), which row is cumulative black more than cumulative red?

congrats current. that is indeed the next four rows. any clue on my second question? I'm honestly not sure myself.

can you generate the next 4 rows? at what point would the number of black overtake the number of red?

granted, it's the one you don't make. i wish to not have this wish granted.

the zen Buddhist, preaching a message of antidisestablishmentarianism, found contention among his fellows on his own veranda.

granted though the answer also makes little sense; spleen. i wish to know how to achieve virtue, and have the motivation to do so.

granted, but it shatters the moment you touch it. i wish to live in the Simpsons universe.

the mercurial samurai drew his sword and cut the corset off the fair maiden, exclaiming, "my topknot twitched, so i escalated my anger until near pikachu rage!" :shrug:

capitol hill, flabbergasted by the squash sitting in everyone's chair, interrobanged the remark "what's the meaning of this?!"

if a side is longer than the sum of the other two it doesn't form a triangle.

i try to write posts as if everyone knows who i am.

this one is pretty cute! Blonde v.s. Lawyer a lawyer sitting on a plane next to a Blonde want to pass some time and turns to her and says, "how about a trivia game, if i ask you a question and you get it right I'll pay you 10 dollars, and if you get it wrong you pay me 1 dollar. then you ask me a question, with the same conditions." blonde says, "no thanks, I'm reading a book." the lawyer says, "okay how about this, 20 dollars for getting right for you, and 20 dollars for getting wrong for me." the blonde rolls her eyes and says fine. the lawyer asks, "whats the distance from the earth to the sun?" the blonde hands him a dollar. then the blonde asks him, "what goes uphill with 3 legs and down hill with 4?" the lawyer blinks for a second and says " i have no idea, i guess you win that round." then hands her 20. "okay my turn again, i am curious, what does go up hill with three legs and down hill with 4?" the blonde hands him another dollar.

For instance, if my (first) move was to break on the third vertical line, as described in OP, what (horizontal) second move would win for you?

3.01000211301001... pi in base e 2.20212010021111... e in base pi

Rodriguez rotation formula assumes you have a vector and rotation axis you want to rotate about. what you currently have isn't sufficient to use that formula. if you want to move point A to point B on a sphere through rotation, there are a lot of ways to do that. here's one off the top of my head. plot a point C anywhere else on the sphere, find the plane that all three points a, b, and c lie on, find a line perpendicular to the plane that goes threw the center of the sphere, and rotate.

assuming R is the radius, h = r-x by similar triangles. further, theta = tan-1((r-x)/r). so we just need x; using the chord property: two crossing chords AB, CD intersecting at point E gives the relationship AE*EB = CE*ED; we have... x*(2*r-x) =sqrt(2)*(r-x)*(sqrt(2)*R -sqrt(2)*(r-x)) x*(2*r-x) =(r-x)*(2*R -2*(r-x)) which should be solvable if you know R and r.

yeah, sounds fun. you can guess my name i'm sure, its phillip1882.

its not a bad idea flame, but the opening you need as many planets as you can get in my opinion. having 5 planets with 2 ships is more valuable than 1 planet with 10 ships. looks like gvg had the same idea as you. here's the 10 unclaimed achievements. name: base trading with me. how to acquire: successfully attack a world with your opponent successfully attacking the world you attacked from. points: +3 name: all your base are belong to us! how to acquire: completely eliminate a player from the field. points: +2 name: ship production, online. how to acquire: control 25 worlds or more. points: +2 name: ninja like moves. how to acquire: capture a world by attacking as your opponent moves off to attack someone else. points: +3 name: the unstoppable force meets the immovable object. how to acquire: capture a world defended by 20 or more ships. points: +2 name: my preesssiooussss! how to acquire: successfully defend a world against 3 separate assaults. points: +3 name: cry havoc! and let slip the dogs of war! how to acquire: attack all three other players on the same turn. points: +2 name: no-mans land how to acquire: capture all 4 center squares, and hold on to them for at least 2 turns. points: +4 name: last ditch efforts how to acquire: with 4 or fewer planets, capture 3 or more worlds on the same turn. points: +2 name: Kamakazii how to acquire: being the player with the fewest ships, attack the strongest player with all remaining ships. points: +2

sure! sounds good.

i think i'm going to go ahead and call the game here, curr3nt wins. well done, and nice organization! and yes, curr3nt you get my coveted gold eagle general award! congrats!

--------Game-Board-------- ----1--2--3--4--5--6--7--8 A---2--2--2--5--2--3--2-10 B---5--2--5--6--6-13--5--2 C---2--2--6--5--8--6--9--3 D---2--2--8--2--9--8--6--5 E---5--6--8--5--9--8--6--2 F---2--5--3--8--8--3-18--3 G---2--5--2--6--6--8--5--2 H---2--2--2--2--2--3--2--3 achievements: name: gang bang. awarded to: curr3nt how it was acquired: attacked by two or more players after the same planet. points awarded: +2 name: splash DAMAGE! awarded to: curr3nt, panther how it was acquired: attack 3 or more planets from the same planet. points awarded: +2 name: fleet beacon awarded to: curr3nt, gvg, flamebirde how it was acquired: a total of 25 ships from the end of the previous turn to before production of next. points awarded: +3 name: rambo, first blood! awarded to: panther how it was acquired: conquered first enemy world. points awarded: +1