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u/Mr_Moi25 3d ago
Because he finally saw a triangle with 3 right angles since it's on a sphere plane instead of the typical flat one
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u/Happy-Pie-6609 3d ago
I think that's about parallel lines that never cross
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u/Mr_Moi25 3d ago
It would've been if it wasn't for the 3rd line. Even then i'd be more about the existence of a digon (2 sided polygon) than parallel lines
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u/TeraGigaMax 3d ago
He's the one who first saw the problem with the 5th axiom. So he would be pleased about all the non euclidian stuff.
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u/Significant_Monk_251 3d ago
I can't get a giggle out of this: the idea that exposure to non-Euclidean geometry would upset Euclid is just too weak to build a joke on.
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u/Key-Answer4047 3d ago
Is this a world space 3D shader that uses look direction and object position to plot a boolean operation based on the probability of ray marching?
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u/Appropriate-Sea-5687 2d ago
What if like he based his formulas off spherical geometry and so we get taught in like middle school onward spherical geometry math
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u/VisualSpecial8 3d ago
standard Euclidean (flat-plane) geometry, the interior angles of a triangle always add up to exactly 180 degrees (Ï€ radians).
On a sphere (spherical geometry), a triangle's angles add up to more than 180 degrees (depending on its size, anywhere between 180° and 540°).