An App for the Discovery of Properties of Poncelet Triangles

06/08/2021
by   Iverton Darlan, et al.
0

We describe a newly-developed, free, browser-based application, for the interactive exploration of the dynamic geometry of Poncelet families of triangles. The main focus is on responsive display of the beauteous loci of centers of such families, refreshing them smoothly upon any changes in simulation parameters. The app informs the user when curves swept are conics and reports if certain metric quantities are conserved. Live simulations can be easily shared via a URL. A list of more than 400 pre-made experiments is included which can be regarded as conjectures and/or exercises. Millions of experiment combinations are possible.

READ FULL TEXT

page 2

page 3

page 12

page 13

page 15

page 17

page 18

page 20

research
02/18/2022

Analysis of Complex Survival Data: a tutorial using the Shiny MSM.app application

The development of applications for obtaining interpretable results in a...
research
12/21/2020

Family Ties: Relating Poncelet 3-Periodics by their Properties

We study the dynamic geometry, loci, and invariants of three Poncelet fa...
research
09/18/2020

Loci of the Brocard Points over Selected Triangle Families

We study the loci of the Brocard points over two selected families of tr...
research
02/19/2021

Prioritize Crowdsourced Test Reports via Deep Screenshot Understanding

Crowdsourced testing is increasingly dominant in mobile application (app...
research
03/26/2021

TOUR: Dynamic Topic and Sentiment Analysis of User Reviews for Assisting App Release

App reviews deliver user opinions and emerging issues (e.g., new bugs) a...
research
05/07/2021

TempTracker

The TempTracker is a device that allows the user to track the temperatur...

Please sign up or login with your details

Forgot password? Click here to reset