The Pentagon is the best shape for a large buildings as long as all surrounding buildings are also Pentagons

Comments

• AbouBenAdhem@lemmy.world ⁨17⁩ ⁨hours⁩ ago

  Progressing from regular triangles to squares to pentagons to hexagons, pentagons are the only shape that doesn’t tile a plane. How do you figure they’re the best for buildings?

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  • PhobosAnomaly@feddit.uk ⁨17⁩ ⁨hours⁩ ago

    pentagons

    plane

    oh no

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    • superkret@feddit.org ⁨14⁩ ⁨hours⁩ ago

      I expected this low-effort comment to get buried within seconds

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  • megane_kun@lemm.ee ⁨12⁩ ⁨hours⁩ ago

    But the Earth isn’t a plane.

    Sure, human scaled patches of the Earth’s surface can be approximated by a similarly sized patch of a plane, but if we’re talking about tiling the entire surface of the Earth with buildings, it can actually be done using twelve pentagons or twenty isosceles triangles. We just need buildings whose footprints are roughly 1/12th and 1/20th the Earth’s surface respectively.

    For the pentagon, that’d be around 510.07 × 10^12 m² divided by 12 = 42.505 × 10^12 m². With the Pentagon building having seven floors, one such building would have roughly 297.541 × 10^12 m² of floor space.

    For the triangle, that’d be around 510.07 × 10^12 m² divided by 20 = 25.503 × 10^12 m². Assuming this building has seven floors like the Pentagon building does, it’d have roughly 178.524 × 10^12 m² of floor space.

    The good thing about dividing into triangles, however is that it can be subdivided into four similar isosceles triangles, which can be applied recursively down to a far more realistic scale.

    Doing that, we can subdivide the original triangle sixteen times yielding the following:

    25.503 × 10^12 m² / (4^16) = 5.937 × 10^3 m²
    -> 
    

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    • AbouBenAdhem@lemmy.world ⁨4⁩ ⁨hours⁩ ago

      That makes me think of the last episode of Severance, where two characters who have lost their memory of the external world are debating whether the equator is a continent or a continent-sized building.

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  • Lojcs@lemm.ee ⁨17⁩ ⁨hours⁩ ago

    Designated park space

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  • CarbonatedPastaSauce@lemmy.world ⁨17⁩ ⁨hours⁩ ago

    My high ass was like ‘wait they put tile on aircraft?’ and after accepting that I just assumed it messed with airflow or the Bernoulli effect.

    Then I was like, ‘Oh’.

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  • possiblylinux127@lemmy.zip ⁨17⁩ ⁨hours⁩ ago

    They line up in zig zag patterns

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    • AbouBenAdhem@lemmy.world ⁨17⁩ ⁨hours⁩ ago

      Only if you distort them.

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  • manxu@piefed.social ⁨12⁩ ⁨hours⁩ ago

    Technically it's only regular pentagons that don't tile the plane.

    I know everything about planes because I am shorter than my brothers. When we were young, they called me Tattoo and if I pointed at something with my finger, they screamed in unison, "Da plane! Da plane!"

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• superkret@feddit.org ⁨17⁩ ⁨hours⁩ ago

  No!
  Hexagons are the Bestagons!

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  • CM400@lemmy.world ⁨6⁩ ⁨hours⁩ ago

    Close… no offense to CGP, but Texagons are the bestagons.

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    • lord_ryvan@ttrpg.network ⁨2⁩ ⁨hours⁩ ago

      Funny for once, but highly inefficient. Hexagons remain bestagons.

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• gravitas_deficiency@sh.itjust.works ⁨16⁩ ⁨hours⁩ ago

  Hexagons are the bestagons

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  • sxan@midwest.social ⁨7⁩ ⁨hours⁩ ago

    Came into the thread for this comment.

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• jrs100000@lemmy.world ⁨17⁩ ⁨hours⁩ ago

  You might never see the sun again!

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  • possiblylinux127@lemmy.zip ⁨17⁩ ⁨hours⁩ ago

    Far point although it might be better for driving during dawn and dusk

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• TranquilTurbulence@lemmy.zip ⁨12⁩ ⁨hours⁩ ago

  What do you intend to do with the gaps then?

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  • CookieOfFortune@lemmy.world ⁨12⁩ ⁨hours⁩ ago

    Room for parks!

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    • sxan@midwest.social ⁨7⁩ ⁨hours⁩ ago

      Parks are in the middle, Roman domus style.

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    • TranquilTurbulence@lemmy.zip ⁨12⁩ ⁨hours⁩ ago

      Yeah, that should work. If you stick with the definition provided by OP, “small buildings” would be technically allowed as well.

      Another thing about the initial conditions. OP defined that there would be only three way intersections, but that’s clearly not the case here.

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