10 MAR 2017 by ideonexus

## Gamification Stock Holding Mechanic

Mrs. Lazarus has some experience with games such as this and decides to construct a blank environment (a planet without biomes) with a 10 × 10 grid, thereby creating a board with 100 squares. Before play, each student is given three different animals or plants (one with a broad tolerance for several different habitats, one that is a bit more particular, and one that is very fussy indeed). The players then use their numbered tiles and shares to shape and manipulate this blank environment to t...31 MAY 2015 by ideonexus

## Flatland

Imagine a vast sheet of paper on which straight Lines, Triangles, Squares, Pentagons, Hexagons, and other figures, instead of remaining fixed in their places, move freely about, on or in the surface, but without the power of rising above or sinking below it, very much like shadows—only hard with luminous edges—and you will then have a pretty correct notion of my country and countrymen. Alas, a few years ago, I should have said "my universe:" but now my mind has been opened to higher views...27 JAN 2015 by ideonexus

## The Universe as a Game Where the Rules are Hidden

‘I talked to a woman of the Kaminari once,’ he says, ‘before the Spike. Don’t give me such a look, it wasn’t like that, we were just friends. But one night on Ganymede, we got philosophical. The Universe is a game, she said. It makes us into players. We can’t see the moves that are not allowed. Like in chess. There is perfect freedom in the black and white, except that the rules make invisible walls. Two squares forward, one left. One left, whole row forward and backward, one righ...29 JAN 2014 by ideonexus

## 1/9998 Produces Binary Output

The pattern will break down once you get past 8192, which is 2^13. That means that the pattern continues for an impressive 52 significant figures (well, it actually breaks down on the 52nd digit, which will be a 3 instead of a 2). The reason it works is that 9998 = 10^4 - 2. You can expand as 1 / (10^n - 2) = 1/10^n * 1/(1 - 2/10^n) = 1/10^n * (1 2/10^n 2^2 /10^2n 2^3 /10^3n ...) which gives the observed pattern. It breaks down when 2^k has more than n digi...27 NOV 2013 by ideonexus

## Arthur Benjamin Explains the Fibbonacci Set

Now these numbers can be appreciated in many different ways. From the standpoint of calculation, they're as easy to understand as one plus one, which is two. Then one plus two is three, two plus three is five, three plus five is eight, and so on. Indeed, the person we call Fibonacci was actually named Leonardo of Pisa, and these numbers appear in his book "Liber Abaci," which taught the Western world the methods of arithmetic that we use today. In terms of applications, Fibonacci numbers appe...And provides new insights into its web of patterns and numerical relationships.

12 JUN 2012 by ideonexus

## Geometry Seems Disconnected from Reality

Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line... Nature exhibits not simply a higher degree but an altogether different level of complexity.It deals with orbs and squares, but clouds and trees are much more complex.

04 JAN 2012 by ideonexus

## Innovation Means Recombination

...the process of innovation often relies heavily on the combining and recombining of previous innovations, the broader and deeper the pool of accessible ideas and individuals, the more opportunities there are for innovation. We are in no danger of running out of new combinations to try. Even if technology froze today, we have more possible ways of configuring the different applications, machines, tasks, and distribution channels to create new processes and products than we could ever exhaus...Take innovations and recombine them to produce new innovations. We have so many innovations today that the potential in immense.

04 JAN 2012 by ideonexus

## The "Second Half of the Chessboard"

An interesting reference to the exponential growth when the Vizicar asked the king for doubling growth of grains for each square of the chessboard he had invented. Not terribly large amounts at first, but they become vast as we work across the boards 64 squares.