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hyperrogue/tessellations/sample/123_1_3169_s4s6soo_complex.tes
2022-10-07 22:19:10 +02:00

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## 123_1_3169 S4+S6+Soo example (6 vertices, 9 edges) (mirror test)
h2.
distunit(edge(6,4))
let(s4=regangle(1,4))
let(s6=pi/2)
let(soo=regangle(1,inf))
# The version with |2 makes the edge #1 of this tile self-mirrored.
# This gives rise to an inconsistency regarding this apeirogon's
# 'virtual edges'. However, the unmirroring process gets rid of
# this inconsistency. However, the tiling will not load if the unmirroring
# process is disabled (`-arb-unmirror 0`) and may look a bit weird
# in debug. In this case we can avoid the problem by using the #B forms,
# but this would not be possible in the cases where the period is even
# and we have two self-mirrored edges.
unittile(soo,soo,soo,soo,soo,soo,soo,soo,soo,*inf,|2)
#B unittile(soo,soo,soo,soo,soo,soo,soo,soo,soo,*inf,|8)
unittile(s4,s4,*2,|1)
unittile(s4,*4,|)
unittile(s4,s4,*2,|1)
unittile(s4,s4,s4,s4,|1)
unittile(s6,s6,s6,s6,s6,s6)
unittile(s6,*6)
# Note: tile #2 connects to tile 0's self-mirroring edge, so all of its 4
# edges are self-mirrors. '|' is necessary, because otherwise the unmirroring
# process will create two mirror copies of #2 and only one copy of #0,
# and get confused by the inconsistency of connections: the inverted copy of #2
# being connected to #0 which is connected to the standard #2. It is allowed in
# this case to just use '|', or '|n' for any value of n, though.
conway("(0 1')(1 0'')(3 0''')(4 0@4)(5 2@5)[2@4 1@5](0@5 3@5)(5@5)(4@5 0@6)")
#B conway("(3 1')(4 0'')(6 0''')(7 0@4)(8 2@5)[2@4 1@5](0@5 3@5)(5@5)(4@5 0@6)")
#debug(0)