Brutkey

Render of a Lego Technic grid of right triangles, specifically ones made of Pythagorean triples (7, 9, 11). The "lattice" is a backdrop of Lego studs. The triangles are made of Technic beams, which have holes of the same size and spacing as the studs. Therefore it's possible to lay out beams along the lattice in horizontal and vertical direction, and have their holes align perfectly with the lattice studs. It's also possible to lay beams diagonally and have some holes align with the lattice - but this is not possible at all angles. However, triangles where the side lengths consist of Pythagorean triples are right triangles that can be aligned on their corners. More specifically, for a Pythagorean triangle with the legs aligned horizontally and vertically along the lattice, the corners of the hypotenuse will also be aligned. The triangle with sides 7, 9 and 11 in length just so happens to be useful, because there exist Technic beams with those lengths. In the render, 3 triangles of this size are laid out so that they together form a triangle with double side length. Well, nearly. The only way this can be made to work with a Lego lattice is to re-use corners for two triangles. So for two stacked on top of each other, each of which is 7 holes high, the top hole of the bottom triangle's leg is also the bottom hole of the top triangle's leg. So you get 7 + (7 - 1) in length. The same applies for the other triangle sides.
🏷🏷️ ID
ahna4a131tgf0nvb
📛📛 Name
aaa71706f9a6e9a2.png
📆📆 Created At
2026-01-18T12:30:58.503Z
🐱🐱 Uploaded By
ab69ss35bnn25n35
💱💱 Type
image/png
🌡🌡️ Size
0
⛓⛓️ MD5
7fc79a243a486fbb2e1b161e360f504d
📜📜 Alt Text / Comment
Render of a Lego Technic grid of right triangles, specifically ones made of Pythagorean triples (7, 9, 11). The "lattice" is a backdrop of Lego studs. The triangles are made of Technic beams, which have holes of the same size and spacing as the studs. Therefore it's possible to lay out beams along the lattice in horizontal and vertical direction, and have their holes align perfectly with the lattice studs. It's also possible to lay beams diagonally and have some holes align with the lattice - but this is not possible at all angles. However, triangles where the side lengths consist of Pythagorean triples are right triangles that can be aligned on their corners. More specifically, for a Pythagorean triangle with the legs aligned horizontally and vertically along the lattice, the corners of the hypotenuse will also be aligned. The triangle with sides 7, 9 and 11 in length just so happens to be useful, because there exist Technic beams with those lengths. In the render, 3 triangles of this size are laid out so that they together form a triangle with double side length. Well, nearly. The only way this can be made to work with a Lego lattice is to re-use corners for two triangles. So for two stacked on top of each other, each of which is 7 holes high, the top hole of the bottom triangle's leg is also the bottom hole of the top triangle's leg. So you get 7 + (7 - 1) in length. The same applies for the other triangle sides.
🗒🗒️ Attached To
/notes/ahn13cvs1tgf0nvc