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Matt Enlow

@unsolvedmre.bsky.social

Mathematician, math teacher, math enthusiast, math/art-ist. Universal humanizer.

854 Posts1501 Follower712 Folgt
Matt Enlow@unsolvedmre.bsky.social · 2mo ago

Suppose a hollow cone with radius 15cm and height 20cm is being filled with water. If it were base-down, the area of the surface of the water would decrease as the cone filled; if, instead, it were balancing on its point, the area of the surface of the water would increase as the cone filled. [1/2]

Matt Enlow@unsolvedmre.bsky.social · 2mo ago

The integers from 1 to 18 can be arranged in a circle so that, when following the circle (counter-clockwise in the below example), every number is the sum of the previous two (mod 19). For what other mods can we do this? That is, for what other integers m can the integers 1 to m-1 be so arranged?

The numbers, starting at 1 and going counter-clockwise, are 1, 15, 16, 12, 9, 2, 11, 13, 5, 18, 4, 3, 7, 10, 17, 8, 6, 14
Matt Enlow@unsolvedmre.bsky.social · 3mo ago

Currently wondering: Can an equilateral pentagon have five distinct interior angle measures that are all rational multiples of π radians? If we remove "distinct," there's at least the regular pentagon with five angles of 3π/5, and another pentagon with two π/2's, two 5π/6's, and a π/3. #MathSky

Matt Enlow@unsolvedmre.bsky.social · 3mo ago

I always roll my eyes when an A.I. chatbot describes something as "fun," or reports being "curious" about something. Because... no. That's not what's happening. This was a new one on me, though. Why not just omit the "us"?

Q: When did the song "I'll Be There" by The Escape Club peak on the Billboard Hot 100? A: It peaked at #8 on the Billboard Hot 100 on the chart dated June 8, 1991. On that week’s chart, the song climbed from #65 all the way to #57? Wait—Billboard’s archived weekly movement shows it was in its 25th week and marked with “Peak: 8,” indicating that June 8 was the issue on which it officially reached its highest Hot 100 position. A couple of related chart tidbits: It was The Escape Club’s last Hot 100 hit. It finished #65 on Billboard’s 1991 year-end Hot 100. And honestly, FOR A LOT OF US GEN X RADIO LISTENERS (my emphasis), this is one of those songs that felt even bigger than #8 because it was absolutely everywhere for a stretch in spring/early summer ’91.
Matt Enlow@unsolvedmre.bsky.social · 4mo ago

Today in Advanced Topics we tried to create a "quadratic formula" for solving quadratic equations in ℤₙ. I'd never done that before. Wasn't planning on doing it today. But that's where our rabbit hole led us. We haven't worked out all the kinks, but the messiness is part of the fun. (Ask any kid.)