I wrote a moderate amount about geometry and had fun, in a few other ways, with HTML 5's support for embedded SVG images. I doodled some haphazard thoughts on other topics, too.
Made this relationship explicit as part of my discussion of the Cosine rule.
Elaborated on a standard proof, showing another way to think about it.
A discussion of the tension and interplay between elegance and power.
Further reworking of my formalisation of arithmetic, including extension of power to taking positive real powers of positive reals.
Replaced all remaining GIF images with PDFs and SVGs.
Conway's game of that name, naturally. I finally lookedup how to do a rearrangement I've long wanted.
Revisited and reworked the relativistic analysis,
Some thoughts on smoothness and how to characterise it.
I had some fun elaborating on how to combine transistors to make the components of computers.
I began working out its details, but didn't get very far.
A (nother) look at how biology messes with our brains.
An examination of homomorphisms between addition and multiplication.
That n +1 is prime precisely if n! +1 is a multiple of it. Tripped over while reading about Lagrange, who first proved it.
I wrote up the basics of isosceles triangles and the various centres of triangles. I proved Apollonius's theorem and separated out the square root constructions.
Or: how viruses are descended from what created the first cells, once these locked their creators out.
I nerd-sniped myself with an old favourite conjecture of mathematics.
Or why I hope there's no such thing.
Adding more faces to platonic solids.
How a form of generalised shear (with no reference to a metric or orthogonality) can enable us to characterise measure in a linear space.
Written by Eddy.