|
|
(3 intermediate revisions by 2 users not shown) |
Line 1: |
Line 1: |
− | 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. |
− | | |
− | <asy>
| |
− | usepackage("tikz");
| |
− | label("\begin{tikzpicture}[tdplot_main_coords,scale=\logoscale,line join=round]
| |
− | \pgfmathsetmacro\a{-2}
| |
− | \pgfmathsetmacro{\phi}{\a*(1+sqrt(5))/2}
| |
− | \pgfmathsetmacro{\psi}{\a*(sqrt(5)-1)/2}
| |
− | \path
| |
− | coordinate(A) at (0,-\phi,\psi)
| |
− | coordinate(B) at (0,-\phi,-\psi)
| |
− | coordinate(C) at (\a,-\a,-\a)
| |
− | coordinate(D) at (\phi,-\psi,0)
| |
− | coordinate(E) at (\a,-\a,\a)
| |
− | coordinate(F) at (-\a,-\a,-\a)
| |
− | coordinate(G) at (-\phi,-\psi,0)
| |
− | coordinate(H) at (-\a,-\a,\a)
| |
− | coordinate(I) at (-\psi,0,-\phi)
| |
− | coordinate(J) at (\psi,0,-\phi)
| |
− | coordinate(K) at (\a,\a,-\a)
| |
− | coordinate(L) at (\phi,\psi,0)
| |
− | coordinate(M) at (\a,\a,\a)
| |
− | coordinate(N) at (\psi,0,\phi)
| |
− | coordinate(O) at (-\psi,0,\phi)
| |
− | coordinate(P) at (-\phi,\psi,0)
| |
− | coordinate(Q) at (-\a,\a,-\a)
| |
− | coordinate(R) at (0,\phi,-\psi)
| |
− | coordinate(S) at (0,\phi,\psi)
| |
− | coordinate(T) at (-\a,\a,\a);
| |
− | \fill [RoyalBlue,opacity=0.4]
| |
− | (D) -- (L) -- (M) -- (N) -- (E) -- cycle;
| |
− | \fill [Goldenrod, opacity=0.4]
| |
− | (A) -- (B) -- (C) -- (D) -- (E) -- cycle;
| |
− | \fill [ForestGreen, opacity=0.4]
| |
− | (C) -- (J) -- (K) -- (L) -- (D) -- cycle;
| |
− | \fill [RubineRed, opacity=0.4]
| |
− | (E) -- (N) -- (O) -- (H) -- (A) -- cycle;
| |
− | \fill [Orchid, opacity=0.4]
| |
− | (K) -- (R) -- (S) -- (M) -- (L) -- cycle;
| |
− | \fill [orange, opacity=0.4]
| |
− | (O) -- (T) -- (S) -- (M) -- (N) -- cycle;
| |
− | \draw[ultra thick]
| |
− | (A) -- (B) -- (C) -- (D) -- (E) -- cycle
| |
− | (D) -- (L) -- (M) -- (N) -- (E)
| |
− | (C) -- (J) -- (K) -- (L) -- (D)
| |
− | (E) -- (N) -- (O) -- (H) -- (A)
| |
− | (K) -- (R) -- (S) -- (M) -- (N)
| |
− | (O) -- (T) -- (S);
| |
− | \end{tikzpicture}");
| |
− | </asy>
| |