# visualpattern iteachmath patternlunch geometry math maths figurethat edtech proof triangle theorem msmath hsmath trianglesurprise science visualization elearning funfact 3d augmentedreality userfriendly easytouse crosssections ios android cube 3dmodel stem steam mathart processing experiment letstudentscreate letstudentscollaborate letstudentsbuild letstudentstest howtoprove geomchat mathchat collegemath geometrychat nonagon polygon exteriorangle

Playing around with pattern tiles again this morning and found something *super* cool!

I started by making this from ... (1/many)

6 11
2019-09-02

Here, a animation of 's problem posed earlier this week: https://t.co/bTIh6QYMcT.
How can we formally prove the sum of these 2 square areas = 4*R^2, no matter where the large points lie? 🤔

31 68
2019-08-30

Inspired by : For any RT, build a rectangle off its HYP so ratio of its L to W = 1:2. What is the measure of the pink angle? More importantly, WHY does this value NEVER CHANGE? https://t.co/wl2ZOWg42N

32 80
2019-08-25

SSS (Side-Side-Side) Congruence Dynamic via Transformational SAS & 1 other theorem. Question: Which one? 🤔 https://t.co/bdKZuzNJXK.

6 10
2019-08-23

When we build equilateral triangles off 2 sides of ANY TRIANGLE, another equilateral triangle surprisingly emerges! 😮 Why does this occur? 🤔Source: . Created with : https://t.co/lTfrId4Hik.

83 310
2019-08-16

Cycloids, the fastest path and other amazing properties 🚊🚊🚊
https://t.co/uDdBcmOgfb

156 369
2019-08-14

Similarity in Right Triangles: Dynamic Illustrations w/o Words. Created with : https://t.co/Tm8i9UPsgP. Shout out to for her suggestions to help me improve this 1st version: https://t.co/QZzxluxqsJ.

26 66
2019-08-13

The common external tangent segment connecting any 2 tangent circles has a length equal to the GEOMETRIC MEAN of the radii of both circles. 😯 How to prove? 🤔(Source: ). https://t.co/3RwqD4ki5M

26 73
2019-08-05

Suppose V = a triangle vertex, I = incenter, O = orthocenter, & C = circumcenter. Then ray VI ALWAYS BISECTS angle OVC! How can we formally prove this phenomenon true? (Source: ). https://t.co/rYmoDjwCNy

28 84
2019-08-03

Do you think you know everything about squares...?

Van Aubel's Theorem: the two segments are perpendicular and of equal length

https://t.co/Nhcf38z3qe

40 133
2019-07-30

Here, we have a right triangle with its incircle, excircle, & points of tangency to be shown. How can we prove the collinearity among the 3 points (shown at the end)? (Source: ). https://t.co/CGNxP7i5Hz

16 32
2019-07-30

Ts: Want to engage your Ss in active modeling fun? 3D has all the tools you need! And we can use to test modeling accuracy! 🙂 Re: getting started: https://t.co/tVhsrPTAcV.

12 49
2019-07-16

Exploring cube w/in in a beta version of coming soon to both & platforms. Love how we’ll be able to plot the intersection of both from INSIDE THE 😮

9 27
2019-07-02

Testing, testing! Round and around. Just a test!

1 21
2019-06-21

with can help make these ACTUAL REALITIES in our classes. If we live in a 3d world, why remain only in the 2D CP? https://t.co/tVhsrPTAcV

2 11
2019-06-17

Morley's Theorem - Dynamic & modifiable illustrator w/o words: https://t.co/se5j3nEutR. How to prove? 🤔

16 47
2019-05-18

More REGULAR NONAGON wonders (inspired by ). What is the measure of the PINK ANGLE here? For a surprise-cameo-appearance-hint, see https://t.co/PPTBT7rkhB.

7 9
2019-05-15

Dynamic & Modifiable Illustrator (w/o words) Not sure why many texts make this into such "thing" (by calling it a corollary or another theorem). Isn't the original theorem good enough?🤔 https://t.co/9L3SvzdyLS

14 38
2019-05-08