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Penrose Tessellation Calculator

 "Unlocking Mathematical Beauty: How Your Mobile Calculator Can Master Penrose Tiling" Title "Penrose Tiling Made Simple: Your Mobile Calculator’s Secret Weapon for Complex Math" Introduction Imagine calculating the intricate patterns of  Penrose tiling —a mathematical marvel of aperiodic design—on your phone. Sounds impossible? Think again. Your calculator isn’t just for basic arithmetic. With its  PenroseTileCount function , it can estimate how many thin and fat rhombuses fit into any area, leveraging the  golden ratio  (φ ≈ 1.618) for accuracy. What Is Penrose Tiling? Penrose tiling is a  non-repeating pattern  of rhombuses (36° and 72° angles) that defies periodicity. Its beauty lies in its  self-similar structure , where tiles scale by the golden ratio. This tiling has inspired art, architecture, and even quantum physics research. How the PenroseTileCount Function Works Your calculator’s function breaks down the problem into  three key s...

Function for Riemann Sum

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  Function calculator offers excellent extensibility in calculations, not only providing basic arithmetic operations but also allowing users to create mathematical functions through programming. In this example, we'll utilize this outstanding extensibility to calculate the definite integral or Riemann sum of a quadratic function. We'll assume the quadratic function takes the general form $$ax^2 + bx + c$$. You can program code as bellows in the factory page of Function Calculator. def RiemannSum(a,b,c,start,end,n){     var Sn=0;     var delta=(end-start)/n;     var k=1;     while(k<=n){       var x=start+delta*(k-0.5);       var h=a*x*x+b*x+c;       var s=delta*abs(h);       Sn=Sn+s;       k=k+1;     }     return Sn; } Above logic is to calculate estimated area by taking abs(h) which is absolute value of h as the h value. If you want to calculat...

n-th prime number

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Let's create a math function that calculates n-th prime number in the factory page in the Function Calculator . In order to create that function we need to create a helper function that determines whether a number is prime number or not first as below. def isPrime(n) {     if (n <= 1) {         return false;     }     var i = 2;     while (i * i <= n) {         if (n % i == 0) {             return false;         }         i = i + 1;     }     return true; } Using above helper function we can create the function as below. def nthPrime(n) {     var count = 0;     var num = 2;     while (count < n) {         if (isPrime(num)) {             count = count + 1;         }         if (count == n) { ...

Smart Shopping with Function Calculator

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Smart Shopping with Function Calculator! Did you know you can easily track market prices and calculate totals in seconds? With Function Calculator , you can assign prices to items and use them in calculations just like numbers! Example: Set Prices for Your Market Items var apple = 5; var pear = 6; Now, whenever you need to calculate your total cost, just use them in your expressions! Quick Shopping Calculation Imagine you’re buying 2 apples and 3 pears : apple × 2 + pear × 3 ➡ Total: 28 (because 5×2 + 6×3 = 28 ) No need to remember prices every time! Define them once and use them anytime. Perfect for quick grocery math, budgeting, or even tracking expenses! Try it now and make math effortless!

Which is bigger between 49^51 and 50^50?

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You can see which is more big very easily by function calculator . In the factory page type in the expression as below and press run button then the calculator shows the result.

Privacy Policy(개인정보처리방침)

Privacy Policy for Function Calculator Developer: 마종진 Last Updated: 2025.10.23 1. Personal Information Collection - This app Function Calculator  does not directly collect any personal information for its core functionality. - However, through our use of Google AdMob advertising services, the following information may be collected:   * Advertising ID   * Device information   * Approximate location data   * Service usage records 2. Purpose of Data Collection and Use - Improving app performance and error analysis - Providing personalized advertisements - Analyzing service usage statistics - Enhancing user experience 3. Data Retent...

Calculation for geometric series

Using SimpleMath to Compute Recursively Converging Series The coding script SimpleMath , supported by Function Calculator , is highly useful for computing recurrence relations that converge systematically by 1. Let’s consider the following infinite series: 1 + 1/2 + 1/4 + 1/8 + ... + 1/2^n + ... This series sums an infinite sequence where each term is half of the previous one. Deriving the Recurrence Relation To compute this series, let’s first define its sum as : S = 1 + 1/2 + 1/4 + 1/8 + ... + 1/2^n + ... Now, let's multiply by : (1/2)*S = 1/2 + 1/4 + 1/8 + ... + 1/2^n + ... Since this new series is essentially with the first term 1 removed, we can express it as: (1/2)*S = S - 1 Solving for  S, we get: S = 1 + (1/2) * S Implementing in SimpleMath Using SimpleMath , we can code this recurrence relation as follows: def S(n) = 1 + (1/2) * S(n-1); S(0) = 0; Here, S(n) and S(n-1) represent the sum S in our recurrence logic. Since S(n) and S(n-1) are nearly id...