Benjamin Leis

Systems programmer, parent, volunteer Math Circle leader and general math enthusiast. Team puzzles and #geometry @[email protected]

[Benjamin Leis @benjamin_leis]

It's that time again:

Collected Problems 5 is done: https://t.co/iiAxE5bRjM
Collected Problems 6 is starting: https://t.co/lxqhb5MV9k

[Benjamin Leis @benjamin_leis]

It's mostly codifying my current behavior but I'm done here.

[Benjamin Leis @benjamin_leis]

@SeattleSPU What exactly is the goal? Both resevoirs are showing at 99% of average for this time of year according to your own metrics

[Benjamin Leis @benjamin_leis]

@bowenkerins

[Quanta Magazine @QuantaMagazine]

Richard Rusczyk, founder of Art of Problem Solving, is developing a full elementary math curriculum, with the goal of bringing the problem-solving mindset to more than just self-selected math lovers.
https://t.co/ZvYAUci4iT

[Benjamin Leis @benjamin_leis]

@CookPolitical @CharlieCookDC twitter's new embedded link ui in action. Isn't it awesome?

[Benjamin Leis @benjamin_leis]

@CmonMattTHINK Wait a moment ... where's the nullset in the answers?

[Benjamin Leis @benjamin_leis]

@CmonMattTHINK I like to avoid sqrts @bowenkerins :)

[Benjamin Leis @benjamin_leis]

@CmonMattTHINK This one feels super geometric to me and I would thus go via the in center. It helps that I recognize the pythagorean triple

[Benjamin Leis @benjamin_leis]

@mpershan I really don't get the fuss about the Replacements having lived through it once and listening to the reissue.

[Benjamin Leis @benjamin_leis]

@dodecahedra I'm fairly sure the spirit of the age is to just repeat them confidently even vehemently in the face of opposition and that upgrades them to fact. No logic is necessary - usually a you're making me feel uncomfortable should quell arguments. Yay relativism and post-truth.

[Benjamin Leis @benjamin_leis]

@OptimoPrincipi "Unitam coniurati te in foro interficiant" now I'm thinking about Rome again.

[Benjamin Leis @benjamin_leis]

@wsdot_traffic @LakeStevensWA @secstatewa @snocounty Can you explain some of the design decisions around this? I don't understand the strange curves and multiple roundabouts in such a small area.

[Benjamin Leis @benjamin_leis]

@MathCurmudgeon @MartinOdimaJr IEPs are mandated by federal law, IDEA. There are parental protections built in everywhere including the right to be present when the plan is drafted and to disagree about measures.

[Benjamin Leis @benjamin_leis]

@mpershan And now I have thought about it today courtesy of this post

[Benjamin Leis @benjamin_leis]

But my original remark was whether this could be avoided without assuming similarity of the triangles so carry on

[Benjamin Leis @benjamin_leis]

For @DavidKButlerUoA - spoilers in the reply

[David Butler @DavidKButlerUoA]

(1-x)²=x³(1-1/4 x)
1-2x+x²=x³-1/4 x⁴
1/4 x⁴-x³+x²-2x+1=0
x⁴-4x³+4x²-8x+4=0
Not feeling good about that at all!

[Benjamin Leis @benjamin_leis]

If you suspect that the whole triangle is a 45-45-90 (which does turn out to be true) that also gives some test Polynomials you can divide out and see if there is a remainder.

[Benjamin Leis @benjamin_leis]

@dment37 @geogebra

[Benjamin Leis @benjamin_leis]

@SegarRogers @MatthewArcus But even using the cyclic quad and the same starting point works fine. You just apply Ptolemys theorem

[Benjamin Leis @benjamin_leis]

@SegarRogers @MatthewArcus Asides: Example how I thought about and the value I started with.