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A new pyramid-like shape always lands the same side up

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Re: A new pyramid-like shape always lands the same side up

#62

Worst D-4 ever! But more seriously, I wonder how closely you could get to an non-uniform mass polyhedra which had 'knife edge' type balance. Which is to say; 1) Construct a polyhedra with uneven weight distribution which is stable on exactly two faces. 2) Make one of those faces much more stable than the other, so if it is on the limited stability face and disturbed, it will switch to the high stability face. A struc…

A solid tall cone is quite similar to what you want. I guess it can be tweaked to get a polyhedra.

A weeble-wobble

Re: A new pyramid-like shape always lands the same side up

#63

This is categorically different from the Gömböc, because it doesn't have uniform density. Most of its mass is concentrated in the base plate.

Wild prices for gömböcs on Amazon.

https://www.thingiverse.com/thing:1985100/files

Re: A new pyramid-like shape always lands the same side up

#65
post #51

Earlier quoted context omitted.

You jest, but I knew a DND player with a dice addicting that loved showing off his D-1 Mobius strip dice - https://www.awesomedice.com/products/awd101?variant=45578687... For some reason he did not like my suggestion that he get a #1 billard ball.

Love it - any sphere will do. A ping pong ball would be great - the DM/GM could throw it at a player for effect without braining them! (billiard)

> the DM/GM could throw it at a player for effect without braining them!

If you're prepared to run over to wherever it ended up after that, sure.

I learned to juggle with ping pong balls. Their extreme lightness isn't an advantage. One of the most common problems you have when learning to juggle is that two balls will collide. When that happens with ping pong balls, they'll fly right across the room.

Re: A new pyramid-like shape always lands the same side up

#66
post #51

Earlier quoted context omitted.

You jest, but I knew a DND player with a dice addicting that loved showing off his D-1 Mobius strip dice - https://www.awesomedice.com/products/awd101?variant=45578687... For some reason he did not like my suggestion that he get a #1 billard ball.

Love it - any sphere will do. A ping pong ball would be great - the DM/GM could throw it at a player for effect without braining them! (billiard)

> Love it - any sphere will do.

That's basically what the link shows. A Möbius strip is interesting in that it is a two-dimensional surface with one side. But the product is three-dimensional, and has rounded edges. By that standard, any other die is also a d1. The surface of an ordinary d6 has two sides - but all six faces that you read from are on the same one of them.

Re: A new pyramid-like shape always lands the same side up

#69

Worst D-4 ever! But more seriously, I wonder how closely you could get to an non-uniform mass polyhedra which had 'knife edge' type balance. Which is to say; 1) Construct a polyhedra with uneven weight distribution which is stable on exactly two faces. 2) Make one of those faces much more stable than the other, so if it is on the limited stability face and disturbed, it will switch to the high stability face. A struc…

You jest, but I knew a DND player with a dice addicting that loved showing off his D-1 Mobius strip dice - https://www.awesomedice.com/products/awd101?variant=45578687... For some reason he did not like my suggestion that he get a #1 billard ball.

That's like saying a donut only has one side.

The linked die seems similar to this: https://cults3d.com/en/3d-model/game/d1-one-sided-die which seems adjacent to a Möbius strip but kinda isn't because the loop is not made of a two sided flat strip. https://wikipedia.org/wiki/M%C3%B6bius_strip

Might be an Umbilic torus: https://wikipedia.org/wiki/Umbilic_torus

The word side is unclear.

Re: A new pyramid-like shape always lands the same side up

#70
post #25

Earlier quoted context omitted.

Simple invention made possible by sophisticated precision manufacturing.

I think it is a very underestimated aspect of how "simple" inventions came out so late. An interesting one is the bicycle. The bicycle we all know (safety bicycle) is deceivingly advanced technology, with pneumatic tires, metal tube frame, chain and sprocket, etc... there is no way it could have been done much earlier. It needs precision manufacturing as well as strong and lightweight materials for such a "simple" id…

It's funny, I was wondering about the exact example of a bicycle a few days ago and ended up having a conversation with Claude about it (which, incidentally, made the same point you did). It struck me as remarkable (and still does) that this method of locomotion was always physically possible and yet was not discovered/invented until so recently. On its face, it seems like the most important invention that makes the bicycle possible is the wheel, which has been around for 6,000 years!
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