# Exploring n-dimensional cubes with my younger son

During break I’m going to try to do a fun exploration of n-dimensional cubes and spheres with my younger son. Today we talked a bit about cubes and started with by discussing what a “cube” was in a few different dimensions: Next we talked about a different way to define a cube in n-dimensions using … Continue reading Exploring n-dimensional cubes with my younger son

# Sharing Dave Richeson’s tweet explaining the concept of dimension with my younger son

I saw a really neat tweet (and subsequent twitter thread) yesterday: I thought that Dave’s tweet would make for a great project, so we took a close look at it this morning. We started by looking at the tweet and then I asked my son what his definition of dimension was: Next we worked through … Continue reading Sharing Dave Richeson’s tweet explaining the concept of dimension with my younger son

# Federico Ardila’s “Combinatorics and Higher Dimensions” video is incredible

Yesterday Numberphile published an absolutely amazing new video with Federico Ardila: The video blew me away – it felt like such a great way to share ideas about higher dimensions with kids. This morning I shared the video with my older son (my younger son had some school homework that he forgot to do . … Continue reading Federico Ardila’s “Combinatorics and Higher Dimensions” video is incredible

# Counting in 4 dimensions

Yesterday we did a neat project based on problem #12 from the 2015 AMC 8: That project is here: A great counting problem for kids from the 2015 AMC 8 Then I got a nice comment on the project from Alison Hansel: So, for today’s project we extended the problem from yesterday to 4 dimensions. … Continue reading Counting in 4 dimensions

# Extending our Alexander Bogomolny / Nassim Taleb project from 3 to 4 dimensions

Last week I saw really neat tweet from Alexander Bogomolny: The discussion about that problem on Twitter led to a really fun project with the boys: A project for kids inspired by Nassim Taleb and Alexander Bogomolny That project reminded the boys about a project we did at the beginning of the summer that was … Continue reading Extending our Alexander Bogomolny / Nassim Taleb project from 3 to 4 dimensions

# Extending Vsauce’s 4 dimensional shadow tweet a bit

Saw a fun tweet from Vsauce before we left for vacation: He later shared the shape, too: Using shadows is a an incredibly fun way to explore complex shapes. Henry Segerman gave an amazing talk about the idea last fall at MIT: I think playing with these sorts of shadows is a great way to … Continue reading Extending Vsauce’s 4 dimensional shadow tweet a bit

# Sharing Grant Sanderson’s Fractal Dimension video with kids

A few weeks ago Grant Sanderson published this amazing video about fractal dimension: I’ve had it in my mind to share this video with the boys, but the discussion of logarithms sort of scared me off. Last week, though, at the 4th and 5th grade Family Math night the Gosper curve fractals were super popular. … Continue reading Sharing Grant Sanderson’s Fractal Dimension video with kids

# Using 3d printing to share 4-dimensional spheres with kids

A few weeks back we did a project on 4-dimensional spheres intersecting a different sorts of 3d worlds: What if Flatland wasn’t a plane! Last night I got around to 3d printing some of the shapes from that project: Today we talked through the idea of how objects from higher dimensions “look” as they pass … Continue reading Using 3d printing to share 4-dimensional spheres with kids

# Things to print and do in the 4th dimension

Today our math and 3d printing project combined ideas from two great books.  First Matt Parker’s book Things to Make and Do in the Fourth Dimension and Henry Segerman’s book Visualizing Mathematics with 3D Printing We started out the project today by watching Parker’s fun video about 4 dimensional platonic solids: Next we look at … Continue reading Things to print and do in the 4th dimension

# Choosing 3 million points on a 300-dimensional sphere

[sorry this post is a little sloppy – I had a hard stop at 7:00 pm and wanted to get it out the door.] During the last day of my machine learning class we discussed “word2vec.” I’d heard of it before because of a couple of tweets and blog posts from Jordan Ellenberg. For example: … Continue reading Choosing 3 million points on a 300-dimensional sphere