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| Dennis Chen (dchenmathcounts) is part of the Mathematics Advancement Committee, a group of students who writes mock contests and creates other math enrichment activities. Their website is at mac.geometryexplorer.xyz | | Dennis Chen (dchenmathcounts) is part of the Mathematics Advancement Committee, a group of students who writes mock contests and creates other math enrichment activities. Their website is at https://mac.geometryexplorer.xyz. |
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| <asy>
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| usepackage("tikz");
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| label("\begin{tikzpicture}[tdplot_main_coords,scale=\logoscale,line join=round]
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| \pgfmathsetmacro\a{-2}
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| \pgfmathsetmacro{\phi}{\a*(1+sqrt(5))/2}
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| \pgfmathsetmacro{\psi}{\a*(sqrt(5)-1)/2}
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| \path
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| coordinate(A) at (0,-\phi,\psi)
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| coordinate(B) at (0,-\phi,-\psi)
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| coordinate(C) at (\a,-\a,-\a)
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| coordinate(D) at (\phi,-\psi,0)
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| coordinate(E) at (\a,-\a,\a)
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| coordinate(F) at (-\a,-\a,-\a)
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| coordinate(G) at (-\phi,-\psi,0)
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| coordinate(H) at (-\a,-\a,\a)
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| coordinate(I) at (-\psi,0,-\phi)
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| coordinate(J) at (\psi,0,-\phi)
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| coordinate(K) at (\a,\a,-\a)
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| coordinate(L) at (\phi,\psi,0)
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| coordinate(M) at (\a,\a,\a)
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| coordinate(N) at (\psi,0,\phi)
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| coordinate(O) at (-\psi,0,\phi)
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| coordinate(P) at (-\phi,\psi,0)
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| coordinate(Q) at (-\a,\a,-\a)
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| coordinate(R) at (0,\phi,-\psi)
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| coordinate(S) at (0,\phi,\psi)
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| coordinate(T) at (-\a,\a,\a);
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| \fill [RoyalBlue,opacity=0.4]
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| (D) -- (L) -- (M) -- (N) -- (E) -- cycle;
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| \fill [Goldenrod, opacity=0.4]
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| (A) -- (B) -- (C) -- (D) -- (E) -- cycle;
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| \fill [ForestGreen, opacity=0.4]
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| (C) -- (J) -- (K) -- (L) -- (D) -- cycle;
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| \fill [RubineRed, opacity=0.4]
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| (E) -- (N) -- (O) -- (H) -- (A) -- cycle;
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| \fill [Orchid, opacity=0.4]
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| (K) -- (R) -- (S) -- (M) -- (L) -- cycle;
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| \fill [orange, opacity=0.4]
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| (O) -- (T) -- (S) -- (M) -- (N) -- cycle;
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| \draw[ultra thick]
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| (A) -- (B) -- (C) -- (D) -- (E) -- cycle
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| (D) -- (L) -- (M) -- (N) -- (E)
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| (C) -- (J) -- (K) -- (L) -- (D)
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| (E) -- (N) -- (O) -- (H) -- (A)
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| (K) -- (R) -- (S) -- (M) -- (N)
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| (O) -- (T) -- (S);
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| \end{tikzpicture}");
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| </asy>
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Dennis Chen (dchenmathcounts) is part of the Mathematics Advancement Committee, a group of students who writes mock contests and creates other math enrichment activities. Their website is at https://mac.geometryexplorer.xyz.
