Hilbert curve snake

#Math#Maths#Mathematics#MathArt

A square divided into a black half and a white half. The two halves flow into each other following the Hilbert curve like the snake in the game 'Snake'.
A square divided into a black half and a white half. The two halves flow into each other following the Hilbert curve like the snake in the game 'Snake'.

When designing games, the basic maths of probability systems can be useful, but also lead to a bit of head-scratching, especially for those of us for whom high school maths lessons have receded somewhat into the fog of ages past. Our archive article for this week, Axes and Arithmetic part one, gives some basic things you might need to know:

https://exilian.co.uk/forum/index.php?topic=5593.msg119417#msg119417

#Maths#GameDev#Probability

When designing games, the basic maths of probability systems can be useful, but also lead to a bit of head-scratching, especially for those of us for whom high school maths lessons have receded somewhat into the fog of ages past. Our archive article for this week, Axes and Arithmetic part one, gives some basic things you might need to know:

https://exilian.co.uk/forum/index.php?topic=5593.msg119417#msg119417

#Maths#GameDev#Probability

We all know, how crappy the common #Mercator projection for world #maps represents areas, inflating them with distance from the equator.

What many people don't know, is why this projection is still so popular:

The shortest path between two points on the globe, is a straight line on the map.

I reckon, this is useful.

In all other projections, the shortest paths are curves.

In #Maths, we say, the Mercator projection preserves angles, not areas.

We all know, how crappy the common #Mercator projection for world #maps represents areas, inflating them with distance from the equator.

What many people don't know, is why this projection is still so popular:

The shortest path between two points on the globe, is a straight line on the map.

I reckon, this is useful.

In all other projections, the shortest paths are curves.

In #Maths, we say, the Mercator projection preserves angles, not areas.