What are these strange dice? (Part 2) - Numberphile

TL;DR

Multi-sided dice with constant width shapes that allow for simultaneous rolling of different sided dice.

Transcript

Why- why would you make this? What is the point of-  they're the same, they're just different colors.   (Brady: 1, 2 and 3 and then some have got  circles around them. Some-)

• And there's a 4 over  there. (Oh there's a 4, we have got a 4)
• In a triangle, yeah.
• (4, triangle)
• Triangles and circles yeah. Not not super   obvious what it's for
• ... Read More

Key Insights

• 🎲 The multi-sided dice with constant-width shapes provide an innovative solution for rolling different sided dice simultaneously.
• 🧚 The design of the dice is based on a rhombic dodecahedron shape with rounded corners to ensure fair outcomes.
• 🤣 The probabilities of the different dice rolls are not completely independent, and careful consideration is needed when interpreting the results.
• 🤣 The constant-width shape of the dice ensures stability and maintains a consistent height when rolled, providing reliable outcomes.
• 👨‍🔬 The development of these dice involved collaboration and inspiration from different sources, including 3D printing and mathematical research.
• 🎲 The constant-width shapes used in these dice have applications beyond gaming, including book supports and drilling tools.

Questions & Answers

Q: What are these multi-sided dice used for?

These dice are designed for gaming purposes, allowing players to roll a 4-sided, 3-sided, and 2-sided die simultaneously, reducing the number of dice needed to be carried.

Q: Are the probabilities of the different dice rolls independent?

No, the probabilities are not completely independent. For example, if a 4 is rolled on a 4-sided die, it is more likely to land on a 1 on a 2-sided die than a 2.

Q: How do the constant-width shapes work in rolling the dice?

The constant-width shapes used in the dice ensure that the dice maintain a stable and consistent height when rolled, providing fair outcomes.

Q: Are there any other applications for constant-width shapes?

Yes, constant-width shapes, like the ones used in these dice, also find applications in objects like book supports and drilling tools.

Summary & Key Takeaways

• The provided content introduces multi-sided dice that can simultaneously roll a 4-sided, 3-sided, and 2-sided result in a single roll.

• The dice are based on a rhombic dodecahedron shape with rounded corners and have three rings of numbers for the three different die types.

• The probabilities of independent dice rolls vary, and the numbers on the dice are designed to mimic the probabilities of rolling two six-sided dice.