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170
_quarto.yml
170
_quarto.yml
@ -2,21 +2,185 @@ project:
|
||||
type: website
|
||||
|
||||
website:
|
||||
title: "Zenzicubi.co"
|
||||
favicon: "./logo-favicon.png"
|
||||
title: "zenzicubi.co"
|
||||
|
||||
repo-url: https://git.zenzicubi.co/cube/zenzicubi.co
|
||||
repo-branch: master
|
||||
repo-actions: [source]
|
||||
repo-link-target: "_blank"
|
||||
|
||||
navbar:
|
||||
logo: "./logo-vector.svg"
|
||||
left:
|
||||
- text: "Math"
|
||||
menu:
|
||||
- ./posts/math/polycount/index.qmd
|
||||
- ./posts/math/pentagons/index.qmd
|
||||
- ./posts/math/chebyshev/index.qmd
|
||||
- ./posts/math/stereo/index.qmd
|
||||
- ./posts/math/permutations/index.qmd
|
||||
- ./posts/math/type-algebra/index.qmd
|
||||
- ./posts/math/number-number/index.qmd
|
||||
- ./posts/math/finite-field/index.qmd
|
||||
- ./posts/math/misc/index.qmd
|
||||
right:
|
||||
# - about.qmd
|
||||
- ./about/index.qmd
|
||||
- icon: git
|
||||
href: https://git.zenzicubi.co/cube/zenzicubi.co
|
||||
- icon: github
|
||||
href: https://github.com/queue-miscreant
|
||||
background: primary
|
||||
search: true
|
||||
draft-mode: unlinked
|
||||
|
||||
sidebar:
|
||||
- id: topic-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Topics"
|
||||
contents:
|
||||
- ./posts/math/polycount/index.qmd
|
||||
- ./posts/math/pentagons/index.qmd
|
||||
- ./posts/math/chebyshev/index.qmd
|
||||
- ./posts/math/stereo/index.qmd
|
||||
- ./posts/math/permutations/index.qmd
|
||||
- ./posts/math/type-algebra/index.qmd
|
||||
- ./posts/math/number-number/index.qmd
|
||||
- ./posts/math/finite-field/index.qmd
|
||||
- ./posts/math/misc/index.qmd
|
||||
|
||||
- id: misc-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Miscellaneous"
|
||||
contents:
|
||||
- ./posts/math/misc/platonic-volume/index.qmd
|
||||
- ./posts/math/misc/infinitesimals/index.qmd
|
||||
|
||||
- id: polycount-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Polynomial Counting"
|
||||
href: ./posts/math/polycount/index.qmd
|
||||
contents:
|
||||
- text: "Part 1: A primer"
|
||||
href: ./posts/math/polycount/1/index.qmd
|
||||
- text: "Part 2: Binary and beyond"
|
||||
href: ./posts/math/polycount/2/index.qmd
|
||||
- text: "Part 3: The third degree"
|
||||
href: ./posts/math/polycount/3/index.qmd
|
||||
- text: "Part 4: Two twos"
|
||||
href: ./posts/math/polycount/4/index.qmd
|
||||
contents:
|
||||
- text: "Appendix"
|
||||
href: ./posts/math/polycount/4/appendix/index.qmd
|
||||
- text: "Part 5: Pentamerous multiplication"
|
||||
href: ./posts/math/polycount/5/index.qmd
|
||||
- section: 2D
|
||||
contents:
|
||||
- text: "Part 1: Lines, leaves, and sand"
|
||||
href: ./posts/math/polycount/sand-1/index.qmd
|
||||
- text: "Part 2: Reorienting Polynomials"
|
||||
href: ./posts/math/polycount/sand-2/index.qmd
|
||||
|
||||
- id: pentagons-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "12 Pentagons"
|
||||
href: ./posts/math/pentagons/index.qmd
|
||||
contents:
|
||||
- text: "Part 1"
|
||||
href: ./posts/math/pentagons/1/index.qmd
|
||||
- text: "Part 2"
|
||||
href: ./posts/math/pentagons/2/index.qmd
|
||||
- text: "Part 3"
|
||||
href: ./posts/math/pentagons/3/index.qmd
|
||||
|
||||
- id: chebyshev-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Generating Polynomials"
|
||||
href: ./posts/math/chebyshev/index.qmd
|
||||
contents:
|
||||
- text: "Part 1: Regular Constructability"
|
||||
href: ./posts/math/chebyshev/1/index.qmd
|
||||
- text: "Part 2: Ghostly Chains"
|
||||
href: ./posts/math/chebyshev/2/index.qmd
|
||||
- text: "Extra: Legendary"
|
||||
href: ./posts/math/chebyshev/extra/index.qmd
|
||||
|
||||
- id: stereography-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Algebraic Stereography"
|
||||
href: ./posts/math/stereo/index.qmd
|
||||
contents:
|
||||
- ./posts/math/stereo/1/index.qmd
|
||||
- ./posts/math/stereo/2/index.qmd
|
||||
|
||||
- id: permutations-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "A Game of Permutations"
|
||||
href: ./posts/math/permutations/index.qmd
|
||||
contents:
|
||||
- text: "Part 1"
|
||||
href: ./posts/math/permutations/1/index.qmd
|
||||
- text: "Part 2"
|
||||
href: ./posts/math/permutations/2/index.qmd
|
||||
- text: "Part 3"
|
||||
href: ./posts/math/permutations/3/index.qmd
|
||||
- text: "Appendix"
|
||||
href: ./posts/math/permutations/appendix/index.qmd
|
||||
|
||||
- id: type-algebra-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Type Algebra and You"
|
||||
href: ./posts/math/type-algebra/index.qmd
|
||||
contents:
|
||||
- text: "Part 1: Basics"
|
||||
href: ./posts/math/type-algebra/1/index.qmd
|
||||
- text: "Part 2: A Fixer-upper"
|
||||
href: ./posts/math/type-algebra/2/index.qmd
|
||||
- text: "Part 3: Combinatorial Types"
|
||||
href: ./posts/math/type-algebra/3/index.qmd
|
||||
|
||||
- id: number-number-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Numbering Numbers"
|
||||
href: ./posts/math/number-number/index.qmd
|
||||
contents:
|
||||
- text: "From 0 to ∞"
|
||||
href: ./posts/math/number-number/1/index.qmd
|
||||
- text: "Ordering Obliquely"
|
||||
href: ./posts/math/number-number/2/index.qmd
|
||||
|
||||
- id: finite-field-sidebar
|
||||
style: "floating"
|
||||
contents:
|
||||
- section: "Exploring Finite Fields"
|
||||
href: ./posts/math/finite-field/index.qmd
|
||||
contents:
|
||||
- text: "Part 1: Preliminaries"
|
||||
href: ./posts/math/finite-field/1/index.qmd
|
||||
- text: "Part 2: Matrix Boogaloo"
|
||||
href: ./posts/math/finite-field/2/index.qmd
|
||||
contents:
|
||||
- text: "Appendix"
|
||||
href: ./posts/math/finite-field/2/extra/index.qmd
|
||||
- text: "Part 3: Roll a d20"
|
||||
href: ./posts/math/finite-field/2/index.qmd
|
||||
- text: "Part 5: The Power of Forgetting"
|
||||
href: ./posts/math/finite-field/2/index.qmd
|
||||
|
||||
format:
|
||||
html:
|
||||
theme:
|
||||
light:
|
||||
- default
|
||||
- flatly
|
||||
dark:
|
||||
- darkly
|
||||
|
||||
|
||||
63
about/index.qmd
Normal file
63
about/index.qmd
Normal file
@ -0,0 +1,63 @@
|
||||
---
|
||||
title: "About"
|
||||
---
|
||||
|
||||
This is my personal website (and the third iteration thereof).
|
||||
|
||||
The first version used Wordpress since it was quite easy to get into,
|
||||
didn't require much research, and web hosting services made it easy to set up.
|
||||
It lasted around three months near the end of 2020, after which I lost my posts because of
|
||||
hosting troubles and because I wasn't using proper backups.
|
||||
|
||||
The second version also used Wordpress, and lasted until the start of 2025
|
||||
(though the last post I had written up to that point was from the start of 2024).
|
||||
|
||||
This version uses [Quarto](https://quarto.org/), an open-source publishing platform that has
|
||||
some nice features like text-based configuration and Jupyter integration.
|
||||
As a bonus, it also produces static web pages.
|
||||
|
||||
|
||||
Why Quarto?
|
||||
-----------
|
||||
|
||||
I had a couple of reasons for switching platforms:
|
||||
|
||||
- Wordpress is either overkill or not enough.
|
||||
I don't need a block editor or multiple users, and I don't want to make custom content
|
||||
just for it to be specific to Wordpress.
|
||||
- I write a lot of code and LaTeX, which Wordpress relies on plugins for.
|
||||
Quarto uses (primarily) Pandoc-style Markdown, which allows for inlining of both out of the box.
|
||||
- Also, because of Jupyter integration, code cells can generate output for the page they're in.
|
||||
- Since pages are written in Markdown, everything can be edited locally and version-controlled in Git.
|
||||
|
||||
The last two are particularly nice in ensuring that the site is reproducibile,
|
||||
technically even without Quarto.
|
||||
Instead of articles that live in a Wordpress database or as scattered random files,
|
||||
I have the complete documents in a structure 1:1 with how the website is organized.
|
||||
|
||||
|
||||
Mathematics
|
||||
-----------
|
||||
|
||||
As of writing, all posts on this site are about math.
|
||||
In particular, they are dedicated to certain non-obvious insights I choose to investigate.
|
||||
Typically, although information about these subjects may exist online, it does not exist in a single,
|
||||
easily-accessible source.
|
||||
|
||||
I find writing math posts to be an excellent motivator when it comes to researching things.
|
||||
It also gives me a chance to learn new tools that otherwise I would not have a reason to use,
|
||||
not to mention being a good exercise in writing and diagram creation.
|
||||
|
||||
An example of this (and one that relates to the creation of the site) is when I was writing code
|
||||
for what would become the contents of [this post](/posts/polycount/5/).
|
||||
It was easy enough to learn a library for rendering images (or GIFs),
|
||||
but I didn't have a gallery to host them, nor a means to share the rationale which produced them.
|
||||
In a frenzy, I tried gathering my notes in a single text file before eventually putting them on a website.
|
||||
Along the way, I learned LaTeX to typeset the relevant equations.
|
||||
|
||||
I do my best to attribute the programs I use and direct sources I consult along the way,
|
||||
but extra information is frequently available on Wikipedia,
|
||||
which I may link to in order to give my explanation some grounding.
|
||||
|
||||
Unless otherwise stated, the figures and articles in this category are available under
|
||||
[CC BY-SA](https://creativecommons.org/licenses/by-sa/4.0/).
|
||||
13
index.qmd
13
index.qmd
@ -1,6 +1,15 @@
|
||||
---
|
||||
title: "Posts by topic"
|
||||
title: "Posts"
|
||||
listing:
|
||||
contents: posts/polycount/index.*
|
||||
contents:
|
||||
- posts/math/polycount/*/index.*
|
||||
- posts/math/pentagons/*/index.*
|
||||
- posts/math/chebyshev/*/index.*
|
||||
- posts/math/stereo/*/index.*
|
||||
- posts/math/permutations/*/index.*
|
||||
- posts/math/type-algebra/*/index.*
|
||||
- posts/math/number-number/*/index.*
|
||||
- posts/math/finite-field/*/index.*
|
||||
- posts/math/misc/*/index.*
|
||||
sort: "date desc"
|
||||
---
|
||||
|
||||
@ -27,9 +27,10 @@ Each term of the series is weighted by a geometrically decreasing coefficient *c
|
||||
|
||||
$$
|
||||
[...d_2 d_1 d_0]_p \mapsto e^{2\pi i [d_0] / p}
|
||||
+ c e^{2\pi i [d_1 d_0] / p^2}
|
||||
+ c^2 e^{2\pi i [d_2 d_1 d_0] / p^2}
|
||||
+ ... \\
|
||||
+ c e^{2\pi i [d_1 d_0] / p^2}
|
||||
+ c^2 e^{2\pi i [d_2 d_1 d_0] / p^2}
|
||||
+ ...
|
||||
\\
|
||||
f_N(d; p) = \sum_{n = 0}^N c^n e^{2\pi i \cdot [d_{n:0}]_p / p^{n + 1}}
|
||||
$$
|
||||
|
||||
|
||||
BIN
logo-favicon.png
(Stored with Git LFS)
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logo-favicon.png
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Reference in New Issue
Block a user