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Mathematical notation is presented in the LaTeX typsetting language. The environments \re{} and \bl{} induce red and blue font colors, respectively.

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Page 40 incorrect labels on first marginal figure: replace Figures/Chap3/Ch3_S632_triangle with:

Pages 43, 45, 47, 49: irregular line widths in some of the figures.

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Page 73, final solution to problem 2:

Page 81, third to last paragraph. Replace:

**We can therefore suppose that $$(V - Nv) - (E - Ne) + (F - Nf) <
cR$$ for some number $c$, and so $$ch = v - e + f < |(V - E + F +
CR / N| < |(2 + cR)/kR^2|.$$ Since the right-hand side of this
inequality tends to zero as $R$ tends to infinity, it must be true
that $ch = 0$.**

by:

**We can therefore suppose that $$|(V - kR^2v) - (E - kR^2e)
+ (F -kR^2f)| < cR$$ for some constants $c$ and $k$, and so
$$\frac{1}{kR} (-c + (V - E + F)/R) < ch = v - e + f <\frac{1}{kR}
(c + (V - E + F)/R).$$ Since the
bounds of this inequality tend to zero as $R$ tends to
infinity, it must be true that $ch = 0$.**

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Page 100 Figure 8.8: Second and third images swapped: replace Figures/Chap8/Ch8_gaping_crosshandle with:

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Pages 120 and 121: remove the duplicate paragraph at the top of page 121; it contains the typo "thisbook"

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Page 156: In Table 12.1, replace:

\hline $^\alpha\bl{2}^\beta\bl{2}\re{*}^P$ & $^2\bl{2}^2\bl{2}\re{*}^1\re{2}$ & \bl{22}\re{*}//\re{**}\\ \hlinewith:

\hline & $^1\bl{2}^1\bl{2}\re{*}^2$ & $\bl{22}\re{*}//\bl{o}$\\ $^\alpha\bl{2}^\beta\bl{2}\re{*}^P$ & $^2\bl{2}^2\bl{2}\re{*}^1$ & \bl{22}\re{*}//\re{**}\\ \hline(Adds 22*//o, which is discussed in the next chapter, and removes an extraneous "red 2" from the second column of the 22* row.)

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Page 162: replace

$^{\alpha}\bl{2}^{\beta}\bl{2}\re{*}^P$ : $\alpha \beta \gamma = 1 = \alpha^2 = \beta^2 = P^2 = \gamma^{-1} P \gamma P^{-1}$ Here the two invariant slopes $\infty$ and 0 yield two possibilities; lead to distinct cases: $\alpha \rightarrow 1, \beta \rightarrow 1, P \rightarrow <\!1-t\!>$, which we discard as intransitive, and $\alpha \rightarrow <\!-t\!>, \beta \rightarrow <\!1-t\!>, P \rightarrow 1$, or $^2\bl{2}^2\bl{2}\re{*}^1$, type \bl{22}\re{*}//\re{**}.with:

$^{\alpha}\bl{2}^{\beta}\bl{2}\re{*}^P$ : $\alpha \beta \gamma = 1 = \alpha^2 = \beta^2 = P^2 = \gamma^{-1} P \gamma P^{-1}$ Here the two invariant slopes $\infty$ and 0 yield two possibilities; lead to distinct cases: $\alpha \rightarrow 1, \beta \rightarrow 1, P \rightarrow <\!1-t\!>$, i.e. $^1\bl{2}^1\bl{2}\re{*}^2$ of type $\bl{22}\re{*}//\bl{o}$, and $\alpha \rightarrow <\!-t\!>, \beta \rightarrow <\!1-t\!>, P \rightarrow 1$, or $^2\bl{2}^2\bl{2}\re{*}^1$, type \bl{22}\re{*}//\re{**}.(Removes an extra ">" symbol from the second to last line of the text and corrects an error regarding the existence of 22*//o.)

Page 164: replace:

$^\alpha\bl{2}^\beta\bl{2}\re{*}^P$ & $^2\bl{2}^2\bl{2}\re{*}^1$ & $\bl{22}\re{*}^p//\re{**}$ & $p \equiv 1$ (mod 2)\\with:

$^\alpha\bl{2}^\beta\bl{2}\re{*}^P$ & $^2\bl{2}^2\bl{2}\re{*}^1$ & $\bl{22}\re{*}^p//\re{**}$ & $p \equiv 1$ (mod 2)\\ & $^2 2^2 2^1*^2 $ & $22*^p//o$ & \\(Adds color symmetry 22*//o.)

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Page 252 third image in illustration: Readers may find it helpful to know that the innermost boundary is brown, the outer boundary is red, and the remaining boundary curve is purple.

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Page 412: Five lines from the bottom: replace "the interesting Hesse polytope" by "the interesting Schläfli polytope".

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