# Sage Interactions - Miscellaneous

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Contents

## Hearing a trigonometric identity

by Marshall Hampton. When the two frequencies are well separated, we hear the right hand side of the identity. When they start getting close, we hear the higher-pitched factor in the left-hand side modulated by the lower-pitched envelope.

## Karplus-Strong algorithm for plucked and percussive sound generation

by Marshall Hampton

## An Interactive Venn Diagram

## Unreadable code

by Igor Tolkov

## Profile a snippet of code

### Evaluate a bit of code in a given system

by William Stein (there is no way yet to make the text box big):

## Minkowski Sum

by Marshall Hampton

## Cellular Automata

by Pablo Angulo, Eviatar Bach

## Another Interactive Venn Diagram

by Jane Long (adapted from http://wiki.sagemath.org/interact/misc)

This interact models a problem in which a certain number of people are surveyed to see if they participate in three different activities (running, biking, and swimming). Users can indicate the numbers of people in each category, from 0 to 100. Returns a graphic of a labeled Venn diagram with the number of people in each region. Returns an explanatory error message if user input is inconsistent.