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Showing posts with the label math

Mummy Math (Learning Resources)

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We were moving games from one stash to another this weekend, and Mummy Math came back to the surface.  We got this on a trip up north in 2023 . This is from Learning Resources .  This is from Learning Resources. It has no copyright date, but my guess would put it around 1995.  Their web site is still around and they have come a long way since these old plain cardboard box days, but this particular game is not listed. It wasn't going take much time to test it out.  It's like a set of flash cards for addition and subtraction, with one or two actual game elements.  Cute, though. Each player gets a board with a pyramid with a red triangle at top, and they choose a red triangle tile from the box to go in that top space.  The rules said orange, but the actual tiles were 90% red. After that, the goal is to fill each row of the pyramid with an equation that adds up to your top number.  Each players starts with 7 number tiles and can use any yellow "plus o...

Exponential Idle: Beyond Infinity

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I don't know what to expect after passing the defined infinity of $ee200.  But the next Supremacy upgrade is at 1000 psi to unlock x_1, and I have done a lot more Prestiges (112 total) to get to $ee268, which gives a psi of 995.76 ... and counting .... and there it is, 1000 psi. So now I'm back at b=0.001 but there is a new list of x_1 to x_8 beneath the x value.  Interesting expansion.  There is a new equation beneath the main equation (where x has been replaced by x_1), where each x_i is x_(i-1)*dt.  So with x=1e11 and dt at 38, expect x_1 to be 3.8e12.  Nope, I have x=1.1e24 and dt=42, but x_1=6.4e27, meaning x is being multiplied by roughly 6000. The equation is actually writtem x_i = x_i + x_(i-1)dt but surely x_i can't be part of its own recursive definition? Future psi upgrades are "y exponent +0.2" for 2000 psi and unlocking x_2 for 64,000 psi.  Those sound like long hauls, and of course the equation tops off more severely as the value keeps going u...

Exponential Idle: first Supremacy to Infinity

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I made it to the first Supremacy and of course it reset everything except the boosters I paid stars for, like it said it would.  It took far less time to build back up to the $ee30 range.  I hit $ee50 again today, after a few more Prestiges, and got some mixed signals.  First, the Supremacy button said to wait until d(psi)>1.5 again, but now I saw what it meant.  I had 0.08 psi left over from left time, so the new psi value would have to be 1.58.  Yup, the Supremacy button unlocked, but then it had a warning "You will not yet be able afford any psi-based upgrades yet."  True, the cheapest of those was 6 psi, so I should wait to hit 6 psi before doing the next Supremacy, or I will not get any new options by doing so.  Right now it's topped out at $ee56.796, and psi it at 2.08.   At this point, there is no reason to buy upgrades to the top few variables, since they have no effect on the significant digits of x, which sits at 4.7...

Exponential Idle

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After my last post turned into a bit of a tirade about the creep of huge, exponential numbers in the current crop of idle games in the Google Play store, this one turns all that on its head. Exponential Idle just shows an equation and lets you tweak the variables. It starts with this unassuming blurb: From there you get the main screen, showing the exponential equation that drives the whole game.  This was such a pleasant contrast from the games with thousands of graphical things bouncing around.  And I have always been fascinated with mathematics.  You should only need algebra to understand what's going on here.  Each tick (10 times per second), the app takes the current number and multiplies it by e to the power of b times x times dt.  f(t+dt) -- which means the current time plus the next tick -- equals the current value f(t) times e^(bxdt).  Perfect.  It shows these numbers at the top of the screen and they tick upwards as you make adjustments. The ...