Wednesday, 31 July 2019

The Quest for The Quadruple Venn

In this post, I will document my findings in the quest to create a quadruple Venn diagram. Now, what is that you say? Just put 4 circles together and call it a day? No, good sir or madam! If you do such an action, 2 out of the 15 required combinations are lost! It's not so easy now, is it? Also, I set a boundary for myself that I cannot Google it. That would be the easy way out, and as a junior mathematician, I am not taking the easy way out. Now, for the chronological sequence of events that occurred during this quest:

June 23, 2019
I attended a math summer camp for students all over Canada to have fun, and perhaps learn a few things.

June 25, 2019
On the last of three days, Professor Ian Vanderburgh from the University of Waterloo got to be a guest speaker for the entire day. He proposed a challenge to the 32 attendees; Is a four-set Venn diagram possible, and if so, what is a possible design? (not his actual words, I'm paraphrasing) From this point forward, I attempted to create such a design.

June 29, 2019; 1:00
I woke up quite early in the morning. I don't exactly know why, but somehow my brain was subconsciously working on the challenge, and I woke myself up to write it down.
Theoretical Quadruple Venn

It's a three-dimensional design, which means that it is a little bit less practical than I was hoping. Regardless, I scribbled it down anyway, hoping that it would make at least some sense.

June 30, 2019; 13:51
I sent an email to the professor, basically asking for validation.

June 31, 2019; 10:00
I got a response. It essentially just said, "Good try, try again in two dimensions". I'm going to attempt to create a computer program to get the solution for me. Not only will it be more efficient, but it would generalize the case for more than one scenario.

That's it for now. Check back for more updates as they happen.

Monday, 1 July 2019

Blue's Clues

Blue's Clues is one of those TV shows that you just can't forget. The style of positive reinforcement works with young children, and even with adults. Sure, Steve is responding positively no matter what the audience says, but it's nice to have some sort of validation, at least once in a while, right? Also, in my personal opinion, Steve as a host is great, while Joe manages with a decent take on the character. Don't get me wrong, Donovan Patton is an amazing actor, but he doesn't quite capture the charm like Steve did. The topics discussed in Blue's Clues are good morals for all audiences, and I can appreciate that.
On the topic of Blue's Clues, I will be starting a bit of a scavenger hunt myself. In various pages, clues will be scattered to reveal a secret message. See the 'Events' page for more information. Good luck!