t1 = tetrahedron1 cube
-prop_t0_shares_edge_with_t6 :: Cube -> Bool
-prop_t0_shares_edge_with_t6 cube =
- (v2 t0) == (v3 t6) && (v3 t0) == (v2 t6)
- where
- t0 = tetrahedron0 cube
- t6 = tetrahedron6 cube
-
-
-- | Given in Sorokina and Zeilfelder, p. 79.
prop_c3000_identity :: Cube -> Bool
prop_c3000_identity cube =
-- where
-- t0 = tetrahedron0 cube
-- t1 = tetrahedron1 cube
+
+
+-- Tests to check that the correct edges are incidental.
+prop_t0_shares_edge_with_t1 :: Cube -> Bool
+prop_t0_shares_edge_with_t1 cube =
+ (v1 t0) == (v1 t1) && (v3 t0) == (v2 t1)
+ where
+ t0 = tetrahedron0 cube
+ t1 = tetrahedron1 cube
+
+prop_t0_shares_edge_with_t3 :: Cube -> Bool
+prop_t0_shares_edge_with_t3 cube =
+ (v1 t0) == (v1 t3) && (v2 t0) == (v3 t3)
+ where
+ t0 = tetrahedron0 cube
+ t3 = tetrahedron3 cube
+
+prop_t0_shares_edge_with_t6 :: Cube -> Bool
+prop_t0_shares_edge_with_t6 cube =
+ (v2 t0) == (v3 t6) && (v3 t0) == (v2 t6)
+ where
+ t0 = tetrahedron0 cube
+ t6 = tetrahedron6 cube
+
+prop_t1_shares_edge_with_t2 :: Cube -> Bool
+prop_t1_shares_edge_with_t2 cube =
+ (v1 t1) == (v1 t2) && (v3 t1) == (v2 t2)
+ where
+ t1 = tetrahedron1 cube
+ t2 = tetrahedron2 cube
+
+prop_t1_shares_edge_with_t19 :: Cube -> Bool
+prop_t1_shares_edge_with_t19 cube =
+ (v2 t1) == (v3 t19) && (v3 t1) == (v2 t19)
+ where
+ t1 = tetrahedron1 cube
+ t19 = tetrahedron19 cube
+
+prop_t2_shares_edge_with_t3 :: Cube -> Bool
+prop_t2_shares_edge_with_t3 cube =
+ (v1 t1) == (v1 t2) && (v3 t1) == (v2 t2)
+ where
+ t1 = tetrahedron1 cube
+ t2 = tetrahedron2 cube
+
+prop_t2_shares_edge_with_t12 :: Cube -> Bool
+prop_t2_shares_edge_with_t12 cube =
+ (v2 t2) == (v3 t12) && (v3 t2) == (v2 t12)
+ where
+ t2 = tetrahedron2 cube
+ t12 = tetrahedron12 cube
+
+prop_t3_shares_edge_with_t21 :: Cube -> Bool
+prop_t3_shares_edge_with_t21 cube =
+ (v2 t3) == (v3 t21) && (v3 t3) == (v2 t21)
+ where
+ t3 = tetrahedron3 cube
+ t21 = tetrahedron21 cube
+
+prop_t4_shares_edge_with_t5 :: Cube -> Bool
+prop_t4_shares_edge_with_t5 cube =
+ (v1 t4) == (v1 t5) && (v3 t4) == (v2 t5)
+ where
+ t4 = tetrahedron4 cube
+ t5 = tetrahedron5 cube
+
+prop_t4_shares_edge_with_t7 :: Cube -> Bool
+prop_t4_shares_edge_with_t7 cube =
+ (v1 t4) == (v1 t7) && (v2 t4) == (v3 t7)
+ where
+ t4 = tetrahedron4 cube
+ t7 = tetrahedron7 cube
+
+prop_t4_shares_edge_with_t10 :: Cube -> Bool
+prop_t4_shares_edge_with_t10 cube =
+ (v2 t4) == (v3 t10) && (v3 t4) == (v2 t10)
+ where
+ t4 = tetrahedron4 cube
+ t10 = tetrahedron10 cube
+
+prop_t5_shares_edge_with_t6 :: Cube -> Bool
+prop_t5_shares_edge_with_t6 cube =
+ (v1 t5) == (v1 t6) && (v3 t5) == (v2 t6)
+ where
+ t5 = tetrahedron5 cube
+ t6 = tetrahedron6 cube
+
+prop_t5_shares_edge_with_t16 :: Cube -> Bool
+prop_t5_shares_edge_with_t16 cube =
+ (v2 t5) == (v3 t16) && (v3 t5) == (v2 t16)
+ where
+ t5 = tetrahedron5 cube
+ t16 = tetrahedron16 cube
+
+prop_t6_shares_edge_with_t7 :: Cube -> Bool
+prop_t6_shares_edge_with_t7 cube =
+ (v1 t6) == (v1 t7) && (v3 t6) == (v2 t7)
+ where
+ t6 = tetrahedron6 cube
+ t7 = tetrahedron7 cube
+
+prop_t7_shares_edge_with_t20 :: Cube -> Bool
+prop_t7_shares_edge_with_t20 cube =
+ (v2 t7) == (v3 t20) && (v2 t7) == (v3 t20)
+ where
+ t7 = tetrahedron7 cube
+ t20 = tetrahedron20 cube
putStr "prop_c2100_identity2... "
quickCheckWith qc_args TC.prop_c2100_identity2
- putStrLn "\np. 79, (2.8)\n"
-
- putStr "prop_t0_shares_edge_with_t6... "
- quickCheckWith qc_args prop_t0_shares_edge_with_t6
+ putStrLn "\np. 79, (2.8)\n"
putStr "prop_c3000_identity... "
quickCheckWith qc_args TC.prop_c3000_identity
-- putStr "prop_c0300_identity3... "
-- quickCheckWith qc_args TF.prop_c0300_identity3
+ putStrLn "\nEdge Incidence Tests\n"
+
+ putStr "prop_t0_shares_edge_with_t6... "
+ quickCheckWith qc_args prop_t0_shares_edge_with_t6
+
+ putStr "prop_t0_shares_edge_with_t1... "
+ quickCheckWith qc_args prop_t0_shares_edge_with_t1
+
+ putStr "prop_t0_shares_edge_with_t3... "
+ quickCheckWith qc_args prop_t0_shares_edge_with_t3
+
+ putStr "prop_t1_shares_edge_with_t2... "
+ quickCheckWith qc_args prop_t1_shares_edge_with_t2
+
+ putStr "prop_t1_shares_edge_with_t19... "
+ quickCheckWith qc_args prop_t1_shares_edge_with_t19
+
+ putStr "prop_t2_shares_edge_with_t3... "
+ quickCheckWith qc_args prop_t2_shares_edge_with_t3
+
+ putStr "prop_t2_shares_edge_with_t12... "
+ quickCheckWith qc_args prop_t2_shares_edge_with_t12
+
+ putStr "prop_t3_shares_edge_with_t21... "
+ quickCheckWith qc_args prop_t3_shares_edge_with_t21
+
+ putStr "prop_t4_shares_edge_with_t5... "
+ quickCheckWith qc_args prop_t4_shares_edge_with_t5
+
+ putStr "prop_t4_shares_edge_with_t7... "
+ quickCheckWith qc_args prop_t4_shares_edge_with_t7
+
+ putStr "prop_t4_shares_edge_with_t10... "
+ quickCheckWith qc_args prop_t4_shares_edge_with_t10
+
+ putStr "prop_t5_shares_edge_with_t6... "
+ quickCheckWith qc_args prop_t5_shares_edge_with_t6
+
+ putStr "prop_t5_shares_edge_with_t16... "
+ quickCheckWith qc_args prop_t5_shares_edge_with_t16
+
+ putStr "prop_t6_shares_edge_with_t7... "
+ quickCheckWith qc_args prop_t6_shares_edge_with_t7
+
+ putStr "prop_t7_shares_edge_with_t20... "
+ quickCheckWith qc_args prop_t7_shares_edge_with_t20
putStrLn "\nMisc Tests\n"