Bleach H Game Mayuri Ver 56 14 ##TOP##

Bleach H Game Mayuri Ver 56 14 ##TOP##



 
 
 
 
 
 
 

Bleach H Game Mayuri Ver 56 14

. AllAwaywithyou «Crankin Uppin» (EP). Brand New king. Volume 1 Ch29 rd 3 (End) MP3 description»The Game for the Fifth Volume of H Game Mayuri Ver56 begun. This is the first time the game is being released as its «name» instead of volume.Q:

Why is a non-affine map of the unit square to the pentagon isomorphic to a subgroup of $SO(3)$?

The pentagon has five vertices, five edges and two faces (see figure). Let $X$ be the unit square and $f:X\to\mathbb{R}^2$ be a continuous map of $X$ into the unit square. Then $f$ is called affine if $f(gx)=gf(x)$ for all $g\in\text{Aff}(2)$ and $x\in X$. Let $p$ be a point in the unit square. Define
$$
f(p)=\big(\frac{1}{2}\cos\frac{\pi}{5}+\frac{1}{4}\cos\frac{2\pi}{5}+\frac{1}{4}\cos\frac{2\pi}{5}\big)\bigg(\frac{1}{2}\sin\frac{\pi}{5}+\frac{1}{4}\sin\frac{2\pi}{5}+\frac{1}{4}\sin\frac{2\pi}{5}\bigg)\in\mathbb{R}^2.
$$
The affine map $g:x\mapsto f(p)+x$ is an isomorphism from $X$ onto the pentagon.

I have trouble understanding why $g$ is isomorphic to a subgroup of $SO(3)$. I first of all don’t understand the adjective «affine» at all. I don’t think $X$ is a linear space because it is not even a metric space. Why are $X$ and $g$ called affine?
I don’t understand the sentence about the pentagon. I don’t even know how to find a point $p\in\mathbb{R}^2$. I don’t really understand what $g$ does on $X$ and $p$.

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Bleach H Game Mayuri Ver 56 14
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