Packing L-shapes into a square. In this case, the size of the L’s form an arithmetic progression 1, 2, 3, … , 49. Odd sizes are symmetric and evens are nearly so [no long L’s in other words].

(via visualizingmath)

stuffs

Packing L-shapes into a square. In this case, the size of the L’s form an arithmetic progression 1, 2, 3, … , 49. Odd sizes are symmetric and evens are nearly so [no long L’s in other words].

(via visualizingmath)

The animation below shows the first 120 rings of Ulam’s spiral with

Lvarying between 1 and 100:Below is the corresponding plot of the modified Mertens function,

M’(), forr= 1 to 120:rIn mathematical notation,

M’is as follows:where

Ris…_{l}

Submitted by TheFrankensTeam:In the model you can change the number of dots and the deviation too. If you set the “type demo” to dynamic it will make possible to analyse how the wave-pattern changes when deviation grows.

This tutorial shows how to access any part of the main memory from within the PRU, and reasons you shouldn’t.

Is this all? There’s so much more to Friedman numbers. Consecutive ones… They exist in different bases… They work with Roman numerals, which is fucking cool.

(via visualizingmath)