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Index

Geometry

Index of all content on the site:

Mathematics

Polytopology

Erebean polytopes - Lists abstract regular polytopes built using a specific construction method, being a form of quotienting of (usually) hyperbolic polytopes.

External pieces of starry regulars - Notes the external pieces of the starry regulars and how they are arranged with respect to the polytope's facet.

Facetings of expanded polytopes - Details how expanded polytopes can be faceted.

Failed Archimedeans - "Shapes" made from extending the Archimedean solids' vertex notation to invalid configurations.

Gosset–Elte figure visualization - Guide on how to visualize the layer structure of a specific set of high dimensional shapes.

Grand antiprism analogs - Explores the various differently celled and higher dimensional analogs of the grand antiprism.

Klein quartic CRFs - List of convex regular faced polyhedra of the Klein quartic, a hyperbolic quotient.

Lithic polytopes - List of a specific type of an abstract regular polyhedron.

Octolume of the E8 omnitruncate - Attempts to calculate the octolume of the E8 omnitruncate, a task that has somehow never been done before.

Polyapeira - Everything I've gathered from researching polyapeira (infinite dimensional polytopes) by myself.

Truncator - Tool to make truncations of regular polytopes from their incidence matrices.

Uniform polytopes by circumradius - A ranking of convex uniform polytopes by their circumradius.

Other geometry & subjective polytopology

4D planetary mechanics - How planets would behave in a four- (and more) dimensional universe. By far the longest text page on the site.

HyperHyperRogue tesselations - Finds higher dimensional tesselations that would fit the style of the game HyperRogue.

Moera system - A highly symmetric angle system for >2D using that dimension's symmetry groups.

My favorite shapes - Some of my favorite shapes and their properties.

Naming ARPs - A naming scheme for abstract regular polyhedra.

Naming Wythoffian polytopes - Documents and creates naming schemes for all notable Wythoffian polytopes.

Polytope naming scheme war - Various proposed changes to the standard polytope naming scheme.

Solar convex core - Geometry puzzle involving nearby stars.

Superdimensional glossary - A glossary for terms I use to refer to higher dimensional spaces.

Miscellaneous

Base converter - Simple but quite versatile base converter.

Base operator tables - Operator tables in other bases to make learning them easier.

Rarest days - Analyzes the frequency of monthday-weekday pairs and month-monthday-weekday triads.

Starriest celestial hemisphere - Attempts to devise a precise answer as to which part of the night sky is "starriest".

Linguistics

City glossary - A glossary for the cities and countries I made on geopolitical Minecraft servers, complete with the etymology, pronuncation and use.

ILLLatin - The top 25 of Geometry Dash's Impossible Levels List translated to Latin.

Numeral prefix generator - A generator for making numeral prefixes in Greek and Latin. Especially useful in polytoponymy, but useful in any area that requires numerals really.

Phoen.HTML - Tool for generating glyph cognates.

Other

Aeluropaedia - A description of the cats that live in my backyard.

Art gallery - Showcase of the art I've made over the last few years.

Character counter - Extremely simple character counter, made solely for me to have access to one that actually works.

Date calculator - Simple date calculator.

Flying gamemode tilt - Documents the values at which a specific bug occurs in Geometry Dash related to very high frame rates.

The Hardest Lists List - A list of the hardest lists in Geometry Dash.

Time calculator - Simple time calculator. Based on the Date calculator.

XKCD calculator - Calculates the release dates of xkcd comics in advance or in retrospect.