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* AdaptationalHeroism: The Combine as whole are humanity's allies instead of enemies.
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* SpiritualSuccessor: This mod is the Half-Life 2 version of Peaces like Us, where humanity teams up with a canonically hostile alien empire, only to be attacked by ''another'' invader. Just like the aforementioned mod, it contains ghost enemies, geometrical shapes and lots of MindScrew.
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* EleventhHourSuperpower: In the penultimate map, [[spoiler:the white invader leader gives you an ability that surpases even the blue gravity gun from the original game: the ability to kill people and throw objects *just by looking at them!*.]]

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* EleventhHourSuperpower: In the penultimate map, [[spoiler:the white invader leader gives you an ability that surpases even the blue gravity gun from the original game: the ability to kill people and throw objects *just ''just by looking at them!*.them!''.]]
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* EleventhHourSuperpower: In the penultimate map, [[spoiler:the white invader leader gives you an ability that surpases even the blue gravity gun from the original game: the ability to kill people and throw objects *just by looking at them!*.]]
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Although characters from Half-Life 2 appear, the universe the mod starts out in differs slightly from the Half-Life universe; most notably the Combine and Rebels are friendly towards each other. Invaders attack the Combine and Rebels, requiring Gordon to stop them.

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Although characters from Half-Life 2 ''Half-Life 2'' appear, the universe the mod starts out in differs slightly from the Half-Life ''VideoGame/HalfLife'' universe; most notably the Combine and Rebels are friendly towards each other. Invaders attack the Combine and Rebels, requiring Gordon to stop them.
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Although characters from Half-Life 2 appear, the universe the mod starts out in differs greatly from
the Half-Life universe.

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Although characters from Half-Life 2 appear, the universe the mod starts out in differs greatly from
slightly from the Half-Life universe.
universe; most notably the Combine and Rebels are friendly towards each other. Invaders attack the Combine and Rebels, requiring Gordon to stop them.
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* MindOverMatter: The light invaders give the player the ability to move objects simply by looking at them.
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* AlternateSelf: Everyone, but most notable with D0G. In this universe, he is implied to be a strider.

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* AlternateSelf: Everyone, but most notable with D0G.Dog. In this universe, he is implied to be a strider.
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* AlternateSelf: Everyone, but most notable with D0G. In this universe, he is implied to be a strider.

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Changed: 175

Removed: 91

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* TheAssimilator: The dark invaders are trying to assimilate the light invaders by destroying the light machines and replacing them.
* AssimilationPlot: The dark invaders seem to want to convert the light invaders into them.

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* TheAssimilator: The dark invaders are trying to assimilate the light invaders by destroying the light machines and replacing them.
* AssimilationPlot: The dark invaders seem to want to convert the light invaders into them. The dark invaders are also seen building their structures on the Citadel.


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* BrainwashedAndCrazy: The implied reason for the existence of the hostile Combine in this universe.
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* [[TechnicolorFire Invisible Fire]]: Anyone who is too close to the dark invader triangular prism ships will be burned by invisible fire.

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* [[TechnicolorFire Invisible Fire]]: TechnicolorFire: Anyone who is too close to the dark invader triangular prism ships will be burned by invisible fire.
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* [[TechnicolorFire Invisible Fire]]: Anyone who is too close to the dark invader triangular prism ships will be burned by invisible fire.

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Changed: 13

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* MookMaker: The brown ships shaped like a triangular prism can make more enemies.

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* MookMaker: The brown dark invader ships shaped like a triangular prism can make more enemies.enemies.
* NoSell: The dark invader triangular prism ships cannot be destroyed by small arms fire, but enough damage from rockets can disable one.

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Changed: 215

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* TheAssimilator: The dark invaders are trying to assimilate the light invaders by destroying the light machines and replacing them.
* AssimilationPlot: The dark invaders seem to want to convert the light invaders into them.



* ColourCodedForYourConvenience: Sort of. The invader infantry are more transparent than the friendly Combine.

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* ColourCodedForYourConvenience: Sort of. The dark invader infantry are more transparent than the friendly Combine.



* SkySurfing: The invaders use literal digits as elevators in their ship

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* PoorCommunicationKills: The white invader leader [[spoiler:helps the player fix the "mistake", but is shot dead by the friendly Combine. The Combine realize their mistake afterwards and bury the leader.]]
* SkySurfing: The invaders use literal digits as elevators in their shipship.

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Changed: 93

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* ColourCodedForYourConvenience: Sort of. The enemies are more transparent than the friendly Combine.
* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - whose counterparts in the Half-Life universe are known for their HairTriggerTemper - to mind his own business. He complies immediately without question. Other CP units also won't try to hit Gordon if he approaches them.

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* ColourCodedForYourConvenience: Sort of. The enemies invader infantry are more transparent than the friendly Combine.
* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - whose counterparts in the Half-Life universe are known for their HairTriggerTemper - to mind his own business. He complies immediately without question. Other CP units also won't try to hit Gordon the player if he approaches them.approached, and other Combine units help the player fight the invaders.
* GravityScrew: One of the puzzles involves dropping objects into a hole until they stop in midair so the player can drop down safely. Anti-gravity is also present in the invader ship.


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* SkySurfing: The invaders use literal digits as elevators in their ship
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* ColourCodedForYourConvenience: Sort of. The enenmies are more transparent than the friendly Combine.

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* ColourCodedForYourConvenience: Sort of. The enenmies enemies are more transparent than the friendly Combine.

Added: 102

Changed: 45

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* AttackOfThe50FootWhatever: When the mod starts, giant digits fall from the sky.

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* AttackOfThe50FootWhatever: When [[AttackOfThe50FootWhatever Attack of the mod starts, 50 Foot Digits]]: The giant digits that fall from the sky.sky.
* ColourCodedForYourConvenience: Sort of. The enenmies are more transparent than the friendly Combine.
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* MookMaker: The brown ships shaped like a triangular prism can make more enemies.
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* MakeWayForTheNewVillains: In the beginning, a [[TripodTerror strider]] is easily destroyed by one of the invader's vehicles.
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* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - whose counterparts in the Half-Life universe are known for their HairTriggerTemper - to mind his own business. He complies immediately without question.

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* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - whose counterparts in the Half-Life universe are known for their HairTriggerTemper - to mind his own business. He complies immediately without question.
question. Other CP units also won't try to hit Gordon if he approaches them.

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Changed: 209

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* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - known for their HairTriggerTemper in the Half-Life universe - to mind his own business. He complies.

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* AttackOfThe50FootWhatever: When the mod starts, giant digits fall from the sky.
* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - whose counterparts in the Half-Life universe are known for their HairTriggerTemper in the Half-Life universe - to mind his own business. He complies.complies immediately without question.
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* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - which are known for their HairTriggerTemper in the Half-Life universe - to mind his own business. He complies.

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* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - which are known for their HairTriggerTemper in the Half-Life universe - to mind his own business. He complies.

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''''Mistake Of Pythagoras'''' is a ''VideoGame/HalfLife2'' mod.

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''''Mistake '''''Mistake Of Pythagoras'''' Pythagoras''''' is a ''VideoGame/HalfLife2'' mod.mod made by Koumei Satou; the author also created the mods ''[[GratuitousEnglish Peaces Like Us]]'' and ''{{VideoGame/SweetHalfLife}}''.

Although characters from Half-Life 2 appear, the universe the mod starts out in differs greatly from
the Half-Life universe.

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!!''Mistake Of Pythagoras'' provides examples of the following tropes:
* EstablishingCharacterMoment: In the beginning, a citizen blatantly tells a Civil Protection officer - which are known for their HairTriggerTemper in the Half-Life universe - to mind his own business. He complies.
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''''Mistake Of Pythagoras'''' is a ''VideoGame/HalfLife2'' mod.

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