Euler Rotation - Revision history

Pooper200000 at 15:11, 20 February 2010

2010-02-20T15:11:56Z

← Older revision		Revision as of 11:11, 20 February 2010
Line 1:		Line 1:
			[[Category:Scripting Reference]]
	== Definitions ==		== Definitions ==
	Euler - Pronounced Oiler; discovered that as 1 is continuously compounded, it reaches a number, ''e''. However, Euler rotation is taking a 3-dimensional axes set and rotating them about the z-axis followed by a forward or backward rotation to create a new axes set.		Euler - Pronounced Oiler; discovered that as 1 is continuously compounded, it reaches a number, ''e''. However, Euler rotation is taking a 3-dimensional axes set and rotating them about the z-axis followed by a forward or backward rotation to create a new axes set.

Tolnaftate2004 at 19:33, 9 October 2007

2007-10-09T19:33:15Z

← Older revision		Revision as of 15:33, 9 October 2007
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	<hr width="33%" NOSHADE>		<hr width="33%" NOSHADE>
	<sup>(1)</sup> The normal vector is the vector ~~normal~~ to the original z and the new z axes. This can be calculated through [[Cross Product\|cross product]].		<sup>(1)</sup> The normal vector is the vector perpendicular to the original z and the new z axes. This can be calculated through [[Cross Product\|cross product]].

	== Rotation Matrices ==		== Rotation Matrices ==
Line 31:		Line 31:
	[cos(''γ'') sin(''γ'') 0; -sin(''γ'') cos(''γ'') 0; 0 0 1] * ...		[cos(''γ'') sin(''γ'') 0; -sin(''γ'') cos(''γ'') 0; 0 0 1] * ...
	[1 0 0; 0 cos(''α'') sin(''α''); 0 -sin(''α'') cos(''α'')] * ...		[1 0 0; 0 cos(''α'') sin(''α''); 0 -sin(''α'') cos(''α'')] * ...
	[cos(''&~~alpha~~;'') sin(''&~~alpha~~;'') 0; -sin(''&~~alpha~~;'') cos(''&~~alpha~~;'') 0; 0 0 1] * ...		[cos(''β'') sin(''β'') 0; -sin(''β'') cos(''β'') 0; 0 0 1] * ...
	([x<sub>0</sub> y<sub>0</sub> z<sub>0</sub>]') = [x y z]'		([x<sub>0</sub> y<sub>0</sub> z<sub>0</sub>]') = [x y z]'

Stefan at 13:15, 1 July 2007

2007-07-01T13:15:55Z

@@ Line 1: / Line 1: @@
-'''http://www.antiunixmad.com/'''
+== Definitions ==
-Hello everyone, as of late, many people have been attacking me on the issues and matters, trying to lie about things, bend the truth, and downright spin to make me and others of my cause look bad, in this text document i will discuss and lay to rest the issues that matter.
+''&theta;'': greek letter ''theta''<br />
-I have been involved [[Graal]] for over three years now, and i used to really like [[Graal]] and its admins alot, then slowly after about a year [[Graal]] and its admins went in a bad downward spiral, i still stuck with [[Graal]] in hopes [[Graal]] would pull itself out of this hole and [[Unixmad]] would go back to the right path, this however did not happen, instead [[Unixmad]] and even [[Stefan]] went fouler and lower than i could have imageined, First with fireing [[Pachuka]] and [[Fuitad]], two of the BEST [[Graal]] admins ever in my view for no other reason than disagreeing with his future plans, then if just fireing them was not bad enough, he threatend to sue them and kill they're families, this was so wrong and bad [[Fuitad]] even said he would punch [[Unixmad]] in the face for saying that if he met him in real life, but that was just the beginning of the downward spiral [[Unixmad]] foolishly invoked onto [[Graal]], he then blatantly STOLE a domain name [[Graal]].net from Owl Shimy which costed over 30$ US Dollars, and never gave it back to him and never paid him for the cost of the domain, he also threatend to sue Owl Shimy and kill his family although it was [[Unixmad]] which stole the domain from Owl Shimy, then around [[Graal]]1.3.1 he blocked off [[GServer]]s officially and threatend to sue anyone that ran the former [[GServer]]s, although they were released as "Freeware" and actually used to encourage people to use the [[GServer]]s, this was a blatant attempt to monopolise , threaten, and intemidate that players that actually helped [[Graal]] and supported him, he then made claims he copyrighted "[[Graal]]" and would contact so called "Lawres" about anyone that used the name "[[Graal]]" or had "[[Graal]] Files" on there websites, although [[Graal]] was distributed as "Freeware" or "Shareware" and had no official software copyrights related to it, and that the name "[[Graal]]" was actually the name of a holy sacred golden cup used in some religion, and in that he has commited blasphemy against whatever religion has the so called "Holy [[Graal]]", then later on [[Unixmad]] fired SuperNick, because of his country and his origion and called him an American Asian slut, this was the first sign of racism on the part of [[Unixmad]], towards [[Graal]]1.4.1 [[Unixmad]] was secretly unwrapping his sadistic plans, he then started claiming credit and claiming to own the copyrights to [[Graal]], although [[Unixmad]] has done nothing but host some stupid weak as servers, and yet [[Stefan]] Knorr has done all the real work for [[Graal]], and was the one to make ZeldaOnline , [[Graal]]Online in the first place and has written every bit of codeing for the [[Graal]] Client , [[GServer]], RC, ect, yet [[Unixmad]] the worthless pile of trash that he is steals all credit for [[Graal]], then in February 2001, [[Unixmad]] and Antago release [[Graal]]2001 and the start of the "Pay to Play" system, now i have no problem with the fact that it is pay to play, the issue is when you PAY for something you actually expect to get the worth while of your money in this product, but instead they got a shittily made level generated land that was 99% empty, the NPCs were and are laggy as hell, and there were no quests, and there is only two shitty things today for hearts that suck so much i refuse to even call them quests, and to add to that about 40% of everyone that paid and gave [[Unixmad]] there credit card number NEVER got the accounts they paid 27$ or more for, and those that did clearly got chumped out by a cheap peice of crap that aint worth paying for, it sucked so badly that most people played on [[Graal]] Classic still, even those that foolishly paid for pay to play accounts, and in an attempt to "FORCE" people to pay for a shitty product they do not want against they're will [[Unixmad]] hired "Tyhm" to deface and ruin [[Graal]]Classic in an attempt to make it buggier and less fun than even [[Graal]]2001, about this time i was disgusted with [[Unixmad]] and most of the other admins and decided to downright turn against [[Graal]] and for the most part stop playing the peice of crap in general. People starting getting angry, complaining, asking for help, and asking for refunds, of coarse [[Unixmad]] gave noone a cash refund, and simply deleted and banned "PAID ACCOUNTS" of those who complained, asked for help, or asked for a refund these are PAYING CUSTOMERS, they have the rights of basic service that they PAID for, [[Unixmad]] promises pay to play players a quality product and customer service, but instead gives them a grade F product and ripps off his customers and delete they're accounts that they PAID HIM money for, his excuse? Credit card fraud, when infact at least 90% of the people he bans for credit card fraud pay legitamately with there OWN credit cards or pay via paypal by check, and yet [[Unixmad]] has stolen and used others credit card numbers to buy things for himself on several occassions, he also claims he needs pay to play money to keep [[Graal]] alive and running, yet there has been evidence that he makes at least 90% profit out of the monies he gets, and that he uses illegal porn ad banners and illegal cookie style web tracking and giveing email adresses of the players and even phone numbers of every player to spam and telemarketting companies without there permission, he even keeps personal player info, includeing email, adress, and phone number on unsecure servers which have already been leaked out, such info about people should not be on a public webserver accessable to the internet in anyway, then after all that [[Unixmad]] starts banning african american people, asians, koreans, and or people with images of people of that race from the [[Graal]]2001 forums and [[Graal]] itself, yet again they are paying customers and this is another sickening act of racism on the part of [[Unixmad]] and [[Graal]]Online, and then even more disgusting is what [[Stefan]] posts on the [[Graal]]2001 forums, he makes several anti american, racist, pro terrorist, pro nazi, and pro taliban comments on that post and goes on and on several pages bashing americans, this post was offense, obcene, and disgusting to many people includeing myself . If all that does not make you sick to your stomache or dislike [[Unixmad]] yet, i am far from done, then [[Unixmad]] proceeds to illegally DDOS webservers of mafukie and make threats to him over the phone, and has phone assaulted me over 40 times a day between midnight and 5am, and has made threats to sue dozens of people, kill there families, and shut down innocent websites and servers, while hosting illegal stuff and doing illegal things himself with the use of his own wanadoo.fr servers, stuff which includes child porn, bestiality porn, DVD Piracy, DDOS Attacks, theft of copyrighted materials from gameing companies such as nintendo, Credit Card fraud, theft, spamming, phone harrassment, useage of illegal pirated corperate softwares, all this just to start the list of what [[Unixmad]]', [[Stefan]], and they're servers are doing 24/7 for nearly 4 years now , anyone that likes [[Unixmad]] or thinks he is a good person even after all this is clearly a fool, everything in this document is the truth and why i hate [[Unixmad]] so much, if you like [[Unixmad]] after all these sickening things he does, then you are no better than a KKK or Neo Nazi member and should go kill yourselfs, i do not tolerate facists, racists, or nazis, they are all bad people, and [[Unixmad]] is one of the worst of the worst, and no person with any morales could tolerate or support such a person like Stephane Portha or [[Stefan]] Knorr. The people that spin, lie and bend the truth in support of [[Unixmad]] will always exist, but i will always reveal the truth about [[Unixmad]], and EVERYTHING said in this document is true, despite what any assclowns try and say about this, and this supriseingly enough is only 1% of the bad things [[Unixmad]] has done, how some people even tolerate, none the less support such a bad person is beyond me... I fight against bad people like [[Unixmad]], why? Because unlike many others in this world i actually care about other people, and i will do everything in my power to stop [[Unixmad]] from hurting [[Graal]] or its innocent players, many say i want to destroy and kill [[Graal]], this is NOT true, i used to love [[Graal]], i only wish to stop [[Unixmad]]'s evil sadistic illegal actions and restore [[Graal]] to the great game it used to be when it was "for the players, by the players" , but if i have to destroy [[Graal]]Online in exchange to stop [[Unixmad]]'s tyranny, it will be regreteable, but sometimes some sacrifices have to be made for the greater good, lets just hope that [[Unixmad]] drops dead and that sacrifice never has to be made... I love [[Graal]] and lots of its players, and i wish to someday restore it to the grandness it once had, but bad people like [[Unixmad]] must be gotten rid of if that is to be achieved...
+Therefore, images and text could be rotated, something that could not be done before, so that said image or text would have a three-dimensional effect. If all said is true, eulerrotation = "0 -pi/3 0"; for text would project it in a Star Wars-like fashion.

Anti-up at 05:25, 1 July 2007

2007-07-01T05:25:05Z

← Older revision		Revision as of 01:25, 1 July 2007
Line 1:		Line 1:
	~~{{playerworld}}~~		'''http://www.antiunixmad.com/'''

			'''[[Viper]]'s [[Graal]] Issues.'''

			Hello everyone, as of late, many people have been attacking me on the issues and matters, trying to lie about things, bend the truth, and downright spin to make me and others of my cause look bad, in this text document i will discuss and lay to rest the issues that matter.

			I have been involved [[Graal]] for over three years now, and i used to really like [[Graal]] and its admins alot, then slowly after about a year [[Graal]] and its admins went in a bad downward spiral, i still stuck with [[Graal]] in hopes [[Graal]] would pull itself out of this hole and [[Unixmad]] would go back to the right path, this however did not happen, instead [[Unixmad]] and even [[Stefan]] went fouler and lower than i could have imageined, First with fireing [[Pachuka]] and [[Fuitad]], two of the BEST [[Graal]] admins ever in my view for no other reason than disagreeing with his future plans, then if just fireing them was not bad enough, he threatend to sue them and kill they're families, this was so wrong and bad [[Fuitad]] even said he would punch [[Unixmad]] in the face for saying that if he met him in real life, but that was just the beginning of the downward spiral [[Unixmad]] foolishly invoked onto [[Graal]], he then blatantly STOLE a domain name [[Graal]].net from Owl Shimy which costed over 30$ US Dollars, and never gave it back to him and never paid him for the cost of the domain, he also threatend to sue Owl Shimy and kill his family although it was [[Unixmad]] which stole the domain from Owl Shimy, then around [[Graal]]1.3.1 he blocked off [[GServer]]s officially and threatend to sue anyone that ran the former [[GServer]]s, although they were released as "Freeware" and actually used to encourage people to use the [[GServer]]s, this was a blatant attempt to monopolise , threaten, and intemidate that players that actually helped [[Graal]] and supported him, he then made claims he copyrighted "[[Graal]]" and would contact so called "Lawres" about anyone that used the name "[[Graal]]" or had "[[Graal]] Files" on there websites, although [[Graal]] was distributed as "Freeware" or "Shareware" and had no official software copyrights related to it, and that the name "[[Graal]]" was actually the name of a holy sacred golden cup used in some religion, and in that he has commited blasphemy against whatever religion has the so called "Holy [[Graal]]", then later on [[Unixmad]] fired SuperNick, because of his country and his origion and called him an American Asian slut, this was the first sign of racism on the part of [[Unixmad]], towards [[Graal]]1.4.1 [[Unixmad]] was secretly unwrapping his sadistic plans, he then started claiming credit and claiming to own the copyrights to [[Graal]], although [[Unixmad]] has done nothing but host some stupid weak as servers, and yet [[Stefan]] Knorr has done all the real work for [[Graal]], and was the one to make ZeldaOnline , [[Graal]]Online in the first place and has written every bit of codeing for the [[Graal]] Client , [[GServer]], RC, ect, yet [[Unixmad]] the worthless pile of trash that he is steals all credit for [[Graal]], then in February 2001, [[Unixmad]] and Antago release [[Graal]]2001 and the start of the "Pay to Play" system, now i have no problem with the fact that it is pay to play, the issue is when you PAY for something you actually expect to get the worth while of your money in this product, but instead they got a shittily made level generated land that was 99% empty, the NPCs were and are laggy as hell, and there were no quests, and there is only two shitty things today for hearts that suck so much i refuse to even call them quests, and to add to that about 40% of everyone that paid and gave [[Unixmad]] there credit card number NEVER got the accounts they paid 27$ or more for, and those that did clearly got chumped out by a cheap peice of crap that aint worth paying for, it sucked so badly that most people played on [[Graal]] Classic still, even those that foolishly paid for pay to play accounts, and in an attempt to "FORCE" people to pay for a shitty product they do not want against they're will [[Unixmad]] hired "Tyhm" to deface and ruin [[Graal]]Classic in an attempt to make it buggier and less fun than even [[Graal]]2001, about this time i was disgusted with [[Unixmad]] and most of the other admins and decided to downright turn against [[Graal]] and for the most part stop playing the peice of crap in general. People starting getting angry, complaining, asking for help, and asking for refunds, of coarse [[Unixmad]] gave noone a cash refund, and simply deleted and banned "PAID ACCOUNTS" of those who complained, asked for help, or asked for a refund these are PAYING CUSTOMERS, they have the rights of basic service that they PAID for, [[Unixmad]] promises pay to play players a quality product and customer service, but instead gives them a grade F product and ripps off his customers and delete they're accounts that they PAID HIM money for, his excuse? Credit card fraud, when infact at least 90% of the people he bans for credit card fraud pay legitamately with there OWN credit cards or pay via paypal by check, and yet [[Unixmad]] has stolen and used others credit card numbers to buy things for himself on several occassions, he also claims he needs pay to play money to keep [[Graal]] alive and running, yet there has been evidence that he makes at least 90% profit out of the monies he gets, and that he uses illegal porn ad banners and illegal cookie style web tracking and giveing email adresses of the players and even phone numbers of every player to spam and telemarketting companies without there permission, he even keeps personal player info, includeing email, adress, and phone number on unsecure servers which have already been leaked out, such info about people should not be on a public webserver accessable to the internet in anyway, then after all that [[Unixmad]] starts banning african american people, asians, koreans, and or people with images of people of that race from the [[Graal]]2001 forums and [[Graal]] itself, yet again they are paying customers and this is another sickening act of racism on the part of [[Unixmad]] and [[Graal]]Online, and then even more disgusting is what [[Stefan]] posts on the [[Graal]]2001 forums, he makes several anti american, racist, pro terrorist, pro nazi, and pro taliban comments on that post and goes on and on several pages bashing americans, this post was offense, obcene, and disgusting to many people includeing myself . If all that does not make you sick to your stomache or dislike [[Unixmad]] yet, i am far from done, then [[Unixmad]] proceeds to illegally DDOS webservers of mafukie and make threats to him over the phone, and has phone assaulted me over 40 times a day between midnight and 5am, and has made threats to sue dozens of people, kill there families, and shut down innocent websites and servers, while hosting illegal stuff and doing illegal things himself with the use of his own wanadoo.fr servers, stuff which includes child porn, bestiality porn, DVD Piracy, DDOS Attacks, theft of copyrighted materials from gameing companies such as nintendo, Credit Card fraud, theft, spamming, phone harrassment, useage of illegal pirated corperate softwares, all this just to start the list of what [[Unixmad]]', [[Stefan]], and they're servers are doing 24/7 for nearly 4 years now , anyone that likes [[Unixmad]] or thinks he is a good person even after all this is clearly a fool, everything in this document is the truth and why i hate [[Unixmad]] so much, if you like [[Unixmad]] after all these sickening things he does, then you are no better than a KKK or Neo Nazi member and should go kill yourselfs, i do not tolerate facists, racists, or nazis, they are all bad people, and [[Unixmad]] is one of the worst of the worst, and no person with any morales could tolerate or support such a person like Stephane Portha or [[Stefan]] Knorr. The people that spin, lie and bend the truth in support of [[Unixmad]] will always exist, but i will always reveal the truth about [[Unixmad]], and EVERYTHING said in this document is true, despite what any assclowns try and say about this, and this supriseingly enough is only 1% of the bad things [[Unixmad]] has done, how some people even tolerate, none the less support such a bad person is beyond me... I fight against bad people like [[Unixmad]], why? Because unlike many others in this world i actually care about other people, and i will do everything in my power to stop [[Unixmad]] from hurting [[Graal]] or its innocent players, many say i want to destroy and kill [[Graal]], this is NOT true, i used to love [[Graal]], i only wish to stop [[Unixmad]]'s evil sadistic illegal actions and restore [[Graal]] to the great game it used to be when it was "for the players, by the players" , but if i have to destroy [[Graal]]Online in exchange to stop [[Unixmad]]'s tyranny, it will be regreteable, but sometimes some sacrifices have to be made for the greater good, lets just hope that [[Unixmad]] drops dead and that sacrifice never has to be made... I love [[Graal]] and lots of its players, and i wish to someday restore it to the grandness it once had, but bad people like [[Unixmad]] must be gotten rid of if that is to be achieved...

Anti-Up: Replacing page with '{{playerworld}}'

2007-06-30T21:57:31Z

Replacing page with '{{playerworld}}'

← Older revision		Revision as of 17:57, 30 June 2007
Line 1:		Line 1:
	{{playerworld}}		{{playerworld}}

	~~This server was the 15th server to ever be hosted on graal via Payed-Player-Hosted server. :-D.~~

	~~{{stub}}~~

	~~== The Modern Rivalry ==~~

	~~Graal X was a very successful server during the 'older' days of Graal, holding quite an impressive playercount at the owner (KuJi)'s disposal.~~

	~~Although later on the modern boom began, the early version of Atrius began, with MadJ clenching ideas, and power. KuJi began to consider Atrius a 'threat'.~~

	~~KuJi went on to introduce Era-ish systems, which the players loved, such as more business's, Era-styled events, a fishing system, and worked on other jobs.~~
	~~Players adored KuJi until MadJ pushed back a little bit with another update, cars.~~

	Throughout the month's, KuJi and MadJ had a back and forth player war, trying to keep their players with newer and newer systems that other servers did not have, and KuJi was clearly the winner in the battle.

	~~KuJi later kept his ground with newly created Spawn, Reborn, and even bypassed Era a few times.~~

	~~Until Trinity came.~~

	~~Trinity bashed KuJi, and Graal X to the ground, and the new war between KuJi and new owner, James began.~~

	~~Graal X later became a MIA project.~~

	Years passed, with different Atrius versions comming out, and Graal X came back during the Jenn deficit of Era, which caused modern players to find another place to call their 'home'. Players equally spread out to new Atrian City, and Graal X to give the servers a try. There was really no competition throughout this time, as both owners figured they kept a good enough playercount at 20-30 players daily, they just kept their rivalry formal, and even got together a few times to help out one another.

	Then 'tragedy' struck during Atrius Version 4, an attack was plotted on Atrius during one of the best times, and a hack script was unleashed on Atrius from one of the scripters, although James did not declare a full out war, many of the understaffmen, led by the Co-Owner, and the Manager, called an all out search to find out what happened, all evidence pointed to Graal X, and KuJi's new 'right hand man' after MadJ quit, G-Man.

	~~After being yelled at to not do it by James and Mag, the Manager of Atrius 'infiltrated' Graal X, and pulled a hack script on there to even the score.~~
	~~KuJi and G-Man were shocked, and placed the IP on full alert, KuJi and James were again at war, and the manager was punished, but never globally banned.~~

	~~KuJi and G-Man later scrapped the project, and began to take a new side to Graal X.~~
	Since G-Man worked on Icarus, a server that was brought up by MadJ and Drogan, he helped Icarus more then Graal X. Icarus was later scrapped due to the owners, and staff having real-life issues to attend to.

	KuJi, knowing that time was running out for GX to properly hold a fight against Atrius, rumors came about that KuJi personally begged G-Man and Sage_Shadowbane to give him Icarus content, something that guaranteed him the ability to defeat Atrius in any battle, after the Icarus staff gave in to content that should not have even been theirs, KuJi worked on custom bodies.

	~~Most content that you see today on Graal X was provided to Graal X by Icarus, by two staff members that really had no specific permission from Drogan or MadJ to give such content away anyway.~~

	~~== Joey's stupidity ==~~

	~~In May, 2007, Joey (Or KuJi to some) supposibly either issued himself, or asked someone to directly attack the server Atrius.~~
	~~Atrius lost everything, and TheJames had to call Stefan to get the backups back.~~
	Although at the moment nobody knows exactly HOW KuJi got onto Atrius, rumors are that he hacked in, other rumors are that he USDed a staff member to get him in, and another rumor was that Mike (Princeofkenshin) hired him.
	~~When Stefan had to bring the backups back, he wasn't happy, and obviously all evidence pointed to KuJi;~~
	~~Graal X was shutdown just hours after that, and KuJi was globally banned.~~

Anti-Up at 21:56, 30 June 2007

2007-06-30T21:56:16Z

← Older revision		Revision as of 17:56, 30 June 2007
Line 1:		Line 1:
	~~== Definitions ==~~		{{playerworld}}
	Euler - Pronounced Oiler; discovered that as 1 is continuously compounded, it reaches a number, ''e''. However, Euler rotation is taking a 3-dimensional axes set and rotating them about the z-axis followed by a forward or backward rotation to create a new axes set.
	~~For objects that inherit the property 'eulerrotation', the format is supposedly "Δ''α'' Δ''β'' Δ''γ''". Read further for a better explanation.~~

			This server was the 15th server to ever be hosted on graal via Payed-Player-Hosted server. :-D.

	~~''θ'': greek letter ''theta''<br />~~		{{stub}}
	~~''φ'': greek letter ''phi''<br />~~
	~~''theta'' and ''phi'' are commonly used in trigonometry for angles (but phi is most commonly used as a constant: 1.618...).<br />~~
	~~''α'': 1<sup>st</sup> greek letter ''alpha''. For our purposes, it will represent The angle between the original x axis and the normal vector<sup>(1)</sup>.<br />~~
	~~''β'': 2<sup>nd</sup> greek letter ''beta''. For our purposes, it will represent the forward or backward "tilt".<br />~~
	~~''γ'': 3<sup>rd</sup> greek letter ''gamma''. For our purposes, it will represent the angle between the normal vector<sup>(1)</sup> and the new x axis.<br />~~

	~~Therefore, images and text could be rotated, something that could not be done before, so that said image or text would have a three-dimensional effect. If all said is true, eulerrotation~~ = ~~"0 -pi/3 0"; for text would project it in a Star Wars-like fashion.~~		== The Modern Rivalry ==

	~~sin(''θ'') = y / ''r'' (Δy of~~ a ~~point from~~ the ~~center on a circle with radius ''r'')~~		Graal X was a very successful server during the 'older' days of Graal, holding quite an impressive playercount at the owner (KuJi)'s disposal.
	~~cos(''θ'') = x / ''r~~'' ~~(Δx~~ of ~~a point from~~ the ~~center on a circle with radius ''r'')~~
	~~sin~~(~~''θ'' ± ''φ'') = sin(''θ''~~) ~~cos(~~'~~'φ'') ± cos(''θ'') sin(''φ'')~~
	~~-cos(''θ'' ± ''φ'') = -cos(''θ'') cos(''φ'') ± sin(''θ'') sin(''φ'')~~

	~~In addition (not really useful):~~		Although later on the modern boom began, the early version of Atrius began, with MadJ clenching ideas, and power. KuJi began to consider Atrius a 'threat'.
	~~tan(~~''~~θ'') = sin(''θ'') / cos(''θ'')~~
	~~cot(''θ'') = cos(''θ'') / sin(''θ'')~~
	~~sec(''θ'') = 1 / cos(''θ'')~~
	~~csc(''θ'') = 1 / sin(''θ'')~~

	~~<hr width="33%" NOSHADE>~~		KuJi went on to introduce Era-ish systems, which the players loved, such as more business's, Era-styled events, a fishing system, and worked on other jobs.
	~~<sup>(1)</sup> The normal vector is the vector normal~~ to the ~~original z~~ and ~~the new z axes~~. ~~This can be calculated through [[Cross Product\|cross product]]~~.		Players adored KuJi until MadJ pushed back a little bit with another update, cars.

	~~== Rotation Matrices ==~~		Throughout the month's, KuJi and MadJ had a back and forth player war, trying to keep their players with newer and newer systems that other servers did not have, and KuJi was clearly the winner in the battle.
	''~~'Note:''' The following example uses MATLAB notation for~~ the ~~matrix transformation~~.
	~~[cos(~~''~~γ~~''~~) sin(''γ~~'~~') 0;~~ -~~sin(~~''γ'') cos(''γ'') 0; 0 0 1] * ...		KuJi later kept his ground with newly created Spawn, Reborn, and even bypassed Era a few times.
	~~[1 0 0; 0 cos(''α'') sin(''α''); 0~~ -sin(''α'') cos(''α'')] * ...
	~~[cos(~~'~~'α'') sin~~(~~''α''~~) ~~0; -sin(''α'') cos(''α'') 0; 0 0 1] * .~~..		Until Trinity came.
	(~~[x<sub>0</sub> y<sub>0</sub> z<sub>0</sub>]'~~) ~~= [x y z]~~'
			Trinity bashed KuJi, and Graal X to the ground, and the new war between KuJi and new owner, James began.

			Graal X later became a MIA project.

			Years passed, with different Atrius versions comming out, and Graal X came back during the Jenn deficit of Era, which caused modern players to find another place to call their 'home'. Players equally spread out to new Atrian City, and Graal X to give the servers a try. There was really no competition throughout this time, as both owners figured they kept a good enough playercount at 20-30 players daily, they just kept their rivalry formal, and even got together a few times to help out one another.

			Then 'tragedy' struck during Atrius Version 4, an attack was plotted on Atrius during one of the best times, and a hack script was unleashed on Atrius from one of the scripters, although James did not declare a full out war, many of the understaffmen, led by the Co-Owner, and the Manager, called an all out search to find out what happened, all evidence pointed to Graal X, and KuJi's new 'right hand man' after MadJ quit, G-Man.

			After being yelled at to not do it by James and Mag, the Manager of Atrius 'infiltrated' Graal X, and pulled a hack script on there to even the score.
			KuJi and G-Man were shocked, and placed the IP on full alert, KuJi and James were again at war, and the manager was punished, but never globally banned.

			KuJi and G-Man later scrapped the project, and began to take a new side to Graal X.
			Since G-Man worked on Icarus, a server that was brought up by MadJ and Drogan, he helped Icarus more then Graal X. Icarus was later scrapped due to the owners, and staff having real-life issues to attend to.

			KuJi, knowing that time was running out for GX to properly hold a fight against Atrius, rumors came about that KuJi personally begged G-Man and Sage_Shadowbane to give him Icarus content, something that guaranteed him the ability to defeat Atrius in any battle, after the Icarus staff gave in to content that should not have even been theirs, KuJi worked on custom bodies.

			Most content that you see today on Graal X was provided to Graal X by Icarus, by two staff members that really had no specific permission from Drogan or MadJ to give such content away anyway.

			== Joey's stupidity ==

			In May, 2007, Joey (Or KuJi to some) supposibly either issued himself, or asked someone to directly attack the server Atrius.
			Atrius lost everything, and TheJames had to call Stefan to get the backups back.
			Although at the moment nobody knows exactly HOW KuJi got onto Atrius, rumors are that he hacked in, other rumors are that he USDed a staff member to get him in, and another rumor was that Mike (Princeofkenshin) hired him.
			When Stefan had to bring the backups back, he wasn't happy, and obviously all evidence pointed to KuJi;
			Graal X was shutdown just hours after that, and KuJi was globally banned.

Tolnaftate2004: Note: using MATLAB notation

2007-04-21T23:15:24Z

Note: using MATLAB notation

← Older revision		Revision as of 19:15, 21 April 2007
Line 28:		Line 28:

	== Rotation Matrices ==		== Rotation Matrices ==
			'''Note:''' The following example uses MATLAB notation for the matrix transformation.
	[cos(''γ'') sin(''γ'') 0; -sin(''γ'') cos(''γ'') 0; 0 0 1] * ...		[cos(''γ'') sin(''γ'') 0; -sin(''γ'') cos(''γ'') 0; 0 0 1] * ...
	[1 0 0; 0 cos(''α'') sin(''α''); 0 -sin(''α'') cos(''α'')] * ...		[1 0 0; 0 cos(''α'') sin(''α''); 0 -sin(''α'') cos(''α'')] * ...
	[cos(''α'') sin(''α'') 0; -sin(''α'') cos(''α'') 0; 0 0 1] * ...		[cos(''α'') sin(''α'') 0; -sin(''α'') cos(''α'') 0; 0 0 1] * ...
	([x<sub>0</sub> y<sub>0</sub> z<sub>0</sub>]') = [x y z]'		([x<sub>0</sub> y<sub>0</sub> z<sub>0</sub>]') = [x y z]'

Tolnaftate2004: True Euler Rotation

2007-04-21T23:14:19Z

True Euler Rotation

Show changes

Tolnaftate2004: /* Deriving the 3D equations */ Image -> thumb

2006-11-21T17:24:16Z

Deriving the 3D equations: Image -> thumb

← Older revision		Revision as of 13:24, 21 November 2006
Line 77:		Line 77:

	== Deriving the 3D equations ==		== Deriving the 3D equations ==
	~~{\| align="right" style="border-collapse:collapse; border: 1px solid #000000; width: 0px;" bgcolor="#FFFFFF"~~		[[Image:Pointonsphere.png\|thumb\|right\|This image shows how to determine the cartesian coordinates of a point on a sphere in terms of sine and cosine. The point is at the upper tip of the green triangle.]]
	\| [[Image:Pointonsphere.png]]
	\|-
	\| This image shows how to determine the cartesian coordinates of a point on a sphere in terms of sine and cosine. The point is at the upper tip of the green triangle.
	\|}
	As above, we can change the sphere's equation into a series of distance formulas		As above, we can change the sphere's equation into a series of distance formulas
	x² + y² + z² = ''r''²		x² + y² + z² = ''r''²

Tolnaftate2004: /* Deriving the 3D equations */

2006-10-31T17:31:09Z

Deriving the 3D equations

← Older revision		Revision as of 13:31, 31 October 2006
Line 77:		Line 77:

	== Deriving the 3D equations ==		== Deriving the 3D equations ==
			{\| align="right" style="border-collapse:collapse; border: 1px solid #000000; width: 0px;" bgcolor="#FFFFFF"
			\| [[Image:Pointonsphere.png]]
			\|-
			\| This image shows how to determine the cartesian coordinates of a point on a sphere in terms of sine and cosine. The point is at the upper tip of the green triangle.
			\|}
	As above, we can change the sphere's equation into a series of distance formulas		As above, we can change the sphere's equation into a series of distance formulas
	x² + y² + z² = ''r''²		x² + y² + z² = ''r''²