Finite Field Visualizer

Here is a link to the finite field visualizer. Now, I can't say I am extremely comfortable in using either of the yet but I am looking forward to making use of them.

Please let me know what you think of them, as well as possible investigations to explore with them.

I have a Master's of Education course coming up this January and I am looking forward to showing and sharing the benefits of teaching with finite fields. I think this is actually the only way to quickly get points across to students effectively. Mainly because of the multiple 1s and 0s in these fields.

As well as, as Wildberger states, the beautifully connected number theoretic results that can emerge intuitively.

http://www.4ct.biz/FFG/Views/PtLnFFG.html

http://www.4ct.biz/Wild/FFG.html

All the best,

-Pete

#Geometry

Easy Math Editor

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Math	Appears as
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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Can you explain a bit how to use this tool?

Agnishom Chattopadhyay - 3 years, 5 months ago

This is very nice. Did you make this?

John Titor - 3 years, 5 months ago

Actually Wildberger posted it. (He mentioned it in one of his presentations).

I really want to be more comfortable with hyperbolic geometry and the field of characteristic two.

I really feel its the key to unlocking the 2x2 rubiks cube and its ability to teach computational geometry.

Would really like some instructions for it...

Peter Michael - 3 years, 5 months ago

I am just exploring it at the moment.

The goal is to be able to use finite fields to explore the properties of universal geometries.

I recommend that you get familiar with Norman Wildberger and is works on Universal Geometry and Rational Trigonometry(There is more but those two will keep you busy to start).

See: https://www.youtube.com/channel/UCXl0Zbk8_rvjyLwAR-Xh9pQ

Lots to learn.

Peter Michael - 3 years, 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$