by krabob

A First Person Shooter in Spherical Geometry

FPS (First Person Shooters) have become very popular and never ceased to improve since twenty years. They propose players to explore worlds in three dimensions, in a very simple and intuitive way. In this constantly renewed kind of game, using the same rules and codes, original variations sometimes appear:

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In “Earths Of Alioth”,  released in 2015, Space has become Spherical: the notion of high and low is completely gone: and for good reason, we are on satellites orbiting distant exoplanets in a fairly realistic space environment.

However, most FPS rules are present. Only the movement mode changes: You must jump from satellite to satellite, pursuing drones, also in orbit. The issue of space management, essential for the player, is thereby upset: How to move toward or away from another point of space? How to find the shortest path from one point to another by jumping on the satellites, themselves in movements? These issues are more likely common to a Space Agency, but they find immediate intuitive responses in the game.Capture d’écran du Simulateur iOS 22 avr. 2014 11.47.23

According to us, these intuitions are natural because there are links between two-dimensional geometry, three-dimensional, and spherical geometry, the latter sharing mathematical properties with the previous two.
Video games have experienced a two-dimensional era, then a three-dimensional, it makes sense that more “Spherical Games” make their appearances.  Today’s Haptic screens and tablets fit that perfectly.
“Earths Of Alioth” is available on iTunes App Store and Google Play.

The app was not found in the store. 🙁 #wpappbox

Links: → Visit Store → Search Google

Earths Of Alioth Free Game

by krabob

Why did I start MathTouchBook ?

I started Math Touch Book after I did my first video game on mobile, one year ago.
I was researching new kinds of interfaces on tablets, and also sometimes I needed to  do some maths on a rough book.
I slowly realized that the equations and functions you usually draw there could gain a lot if it was managed on a haptic screen:

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When you do math on a paper, you often write the first shape of an expression, then you write a second modified shape, then a third,… you constantly invert, simplify, develop, factorise what you write. Consequently, you can hardly imagine how big the result will be on the page, and mathematicians spend their lives struggling with page layouts.
Fortunately, Equations can also be seen in “four dimensions”, transforming through time.
Clearly, a mobile application could manage that aspect.

I think I could be able to program an engine using graphical processing units (gpu) that would draw equations in a vectorial space, and would be able to do morphing between those shapes.

Doing my previous video game, I actually made a Glyph Engine flexible enough to do that. Then a bit of tricks into the graph theory paradigm would be enough to make it a useful living mathematical tool.
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A second important aspect of such a tool would be automatic alignment. One of the key for learning mathematics is to write clear, correctly aligned expressions. Automatizing this could help newcomers. Plus, every math tools force the users to type one line expressions with a lot of parentheses that are hardly understandable. A vectorial space could avoid that.

Another idea came while I was reading a book about the life of Richard Feynman. He told how he could see equations in colors when he was a young boy, and how it helped him to learn.  Synestesy, Something great and easy to implement.

At this point, I knew I could make a tool within a year of work, with a quite precise workflow. So the development began.