0something0 Posted November 14, 2017 Share Posted November 14, 2017 How about each tile being a triangle instead of a hexagon? Link to comment Share on other sites More sharing options...
Anaximander Posted November 14, 2017 Share Posted November 14, 2017 5 hours ago, 0something0 said: How about each tile being a triangle instead of a hexagon? Learn geometry and see why that's not gonna change much. Shockerey has an answer on the previous page of this thread, do the rest on your own. Link to comment Share on other sites More sharing options...
Lethys Posted November 14, 2017 Share Posted November 14, 2017 6 hours ago, 0something0 said: How about each tile being a triangle instead of a hexagon? you do realize that the approximation of a sphere is done via a geodesic polyhedron made of triangles - a speciality is the Goldberg polyhedron made out of pentagons/hexagons which is a dual polyhedron of a geodesic sphere. So basically all tiles ARE triangles.... Anaximander 1 Link to comment Share on other sites More sharing options...
Anaximander Posted November 14, 2017 Share Posted November 14, 2017 12 minutes ago, Lethys said: you do realize that the approximation of a sphere is done via a geodesic polyhedron made of triangles - a speciality is the Goldberg polyhedron made out of pentagons/hexagons which is a dual polyhedron of a geodesic sphere. So basically all tiles ARE triangles.... Yes, but why not pizza-slice shaped triangles. Lethys and Armedwithwings 2 Link to comment Share on other sites More sharing options...
Shockeray Posted November 14, 2017 Share Posted November 14, 2017 6 hours ago, CaptainTwerkmotor said: Yes, but why not pizza-slice shaped triangles. Too many calories, the planets would get overweight and collapse into black holes. Armedwithwings, Lethys and Veln 3 Link to comment Share on other sites More sharing options...
Anaximander Posted November 14, 2017 Share Posted November 14, 2017 2 hours ago, Shockeray said: Too many calories, the planets would get overweight and collapse into black holes. But, what about KFC chickenwing shaped claims. I seen a bucket of KFC - many a times - it can fill perfectly to the brim with chickenwings. Shockeray 1 Link to comment Share on other sites More sharing options...
0something0 Posted November 15, 2017 Share Posted November 15, 2017 20 hours ago, CaptainTwerkmotor said: Learn geometry and see why that's not gonna change much. Shockerey has an answer on the previous page of this thread, do the rest on your own. I know that its still not going to make all perfect equilateral triangles because equilateral triangles only can form flat surfaces. But we won't have PENTAGONS sticking out like a sore thumb. Link to comment Share on other sites More sharing options...
Anaximander Posted November 15, 2017 Share Posted November 15, 2017 16 minutes ago, 0something0 said: I know that its still not going to make all perfect equilateral triangles because equilateral triangles only can form flat surfaces. But we won't have PENTAGONS sticking out like a sore thumb. A hexagon is 6 triangles. You can't avoid the pentagons regardless. Link to comment Share on other sites More sharing options...
0something0 Posted November 15, 2017 Share Posted November 15, 2017 1 hour ago, CaptainTwerkmotor said: A hexagon is 6 triangles. You can't avoid the pentagons regardless. But if there are only triangles, the pentagonic triangles blend in. Link to comment Share on other sites More sharing options...
Anaximander Posted November 15, 2017 Share Posted November 15, 2017 1 hour ago, 0something0 said: But if there are only triangles, the pentagonic triangles blend in. ...that's exactly the same. The angles are not enough, eventually, five triangles will end isoscelic and will form a pentagon. It's geodesic patterns, they work like that. Lethys 1 Link to comment Share on other sites More sharing options...
Lethys Posted November 15, 2017 Share Posted November 15, 2017 3 hours ago, 0something0 said: I know that its still not going to make all perfect equilateral triangles because equilateral triangles only can form flat surfaces. But we won't have PENTAGONS sticking out like a sore thumb. Do the math. Goldberg polyhedrons are naturally made of 12 pentagons and hexagons which aren't the same size. You can't do without pentagons and with equal size of the hexes Anaximander 1 Link to comment Share on other sites More sharing options...
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