Desmos is an incredibly useful tool. I wanted to be able to have my player controller have one physics material with friction and bounce coefficients for the ground and another for walls and slopes. www.desmos.com/calculator/f... #gamedev #math #trigonometry - ThreadSky

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sailorusher.bsky.social • 99 days ago

Desmos is an incredibly useful tool.
I wanted to be able to have my player controller have one physics material with friction and bounce coefficients for the ground and another for walls and slopes.
https://www.desmos.com/calculator/fojf01ikf4
#gamedev #math #trigonometry

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sailorusher.bsky.social•99 days ago

The black circle represents the bottom of a capsule collider with zero friction and some bounce. The red circle represents a sphere collider with high friction and low bounce.
The red circle's friction is set to tan(theta), so the player will slide on angles above theta, but not below.

sailorusher.bsky.social•99 days ago

This way all the game designer needs to do is adjust theta.
I store theta and other character controller settings in a scriptable object, so settings can be swapped for different kinds of characters.

elfkan.bsky.social•99 days ago

Desmos is very useful! My favourite geometry problem I had to deal with was when I had to figure out circle packing of only a ring of n circle of outer circle radius a.

Funnily enough this wasn't a solved problem online so I had to derive it myself! Gamedev challenges!

sailorusher.bsky.social•99 days ago

This reminds me of some math that arose when I was playing with the idea of describing 3D rotation with a single scalar. The method was to construct a spiral along the surface of a sphere which would maximize the cartesian distance between all points in the scalar's domain. Useful for compression?

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