Reading and Interpreting Time-Place Diagrams
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Einführung Funktionsbegriff
This example demonstrates how to read and interpret time-place diagrams, showcasing how to use various mathematical concepts and GeoGebra commands to construct such graphs.
Key mathematical concepts: functions, graphs, coordinate geometry
Construction points: using Polygon, PointIn, IsInRegion, etc. GeoGebra commands
Suitable grade level: 7-8
Suitable purpose: mathematics education, graph analysis
GeoGebra Commands & Parameters
Polygon(TüteBound1_{4}, TüteBound1_1, TüteBound1_2, TüteBound1_3) → TüteBound1, tütebound1_{4}, tütebound1_1, tütebound1_2, tütebound1_3PointIn(TüteBound1) → Zettel1Anchor_1Polygon(Zettel1Anchor_1, Zettel1Anchor_2, Zettel1Anchor_3, Zettel1Anchor_4) → Zettel1, zettel1anchor_1, zettel1anchor_2, zettel1anchor_3, zettel1anchor_4PointIn(TüteBound1) → Zettel2Anchor_1PointIn(TüteBound1) → Zettel3Anchor_1PointIn(TüteBound1) → Zettel4Anchor_1Polygon(Zettel2Anchor_1, Zettel2Anchor_2, Zettel2Anchor_3, Zettel2Anchor_4) → Zettel2, zettel2anchor_1, zettel2anchor_2, zettel2anchor_3, zettel2anchor_4Polygon(Zettel3Anchor_1, Zettel3Anchor_2, Zettel3Anchor_3, Zettel3Anchor_4) → Zettel3, zettel3anchor_1, zettel3anchor_2, zettel3anchor_3, zettel3anchor_4Polygon(Zettel4Anchor_1, Zettel4Anchor_2, Zettel4Anchor_3, Zettel4Anchor_4) → Zettel4, zettel4anchor_1, zettel4anchor_2, zettel4anchor_3, zettel4anchor_4Polygon(TüteBound2_1, TüteBound2_2, TüteBound2_3, TüteBound2_4) → TüteBound2, tütebound2_1, tütebound2_2, tütebound2_3, tütebound2_4PointIn(TüteBound2) → Zettel5Anchor_1PointIn(TüteBound2) → Zettel6Anchor_1PointIn(TüteBound2) → Zettel7Anchor_1PointIn(TüteBound2) → Zettel8Anchor_1Polygon(Zettel5Anchor_1, Zettel5Anchor_2, Zettel5Anchor_3, Zettel5Anchor_4) → Zettel5, zettel5anchor_1, zettel5anchor_2, zettel5anchor_3, zettel5anchor_4Polygon(Zettel6Anchor_1, Zettel6Anchor_2, Zettel6Anchor_3, Zettel6Anchor_4) → Zettel6, zettel6anchor_1, zettel6anchor_2, zettel6anchor_3, zettel6anchor_4Polygon(Zettel7Anchor_1, Zettel7Anchor_2, Zettel7Anchor_3, Zettel7Anchor_4) → Zettel7, zettel7anchor_1, zettel7anchor_2, zettel7anchor_3, zettel7anchor_4Polygon(Zettel8Anchor_1, Zettel8Anchor_2, Zettel8Anchor_3, Zettel8Anchor_4) → Zettel8, zettel8anchor_1, zettel8anchor_2, zettel8anchor_3, zettel8anchor_4Polygon(DecisionBound_1, DecisionBound_2, DecisionBound_3, DecisionBound_4) → DecisionArea, decisionbound_1, decisionbound_2, decisionbound_3, decisionbound_4IsInRegion(Zettel1Anchor_1, DecisionArea) → zettel1decIsInRegion(Zettel2Anchor_1, DecisionArea) → zettel2decIsInRegion(Zettel3Anchor_1, DecisionArea) → zettel3decIsInRegion(Zettel4Anchor_1, DecisionArea) → zettel4decIsInRegion(Zettel5Anchor_1, DecisionArea) → zettel5decIsInRegion(Zettel6Anchor_1, DecisionArea) → zettel6decIsInRegion(Zettel7Anchor_1, DecisionArea) → zettel7decIsInRegion(Zettel8Anchor_1, DecisionArea) → zettel8decPolygon(AngabeAnchor_1, AngabeAnchor_2, AngabeAnchor_3, AngabeAnchor_4) → Angabe, angabeanchor_1, angabeanchor_2, angabeanchor_3, angabeanchor_4Segment(UmrandungAnchor_1, UmrandungAnchor_2) → Umrandung_1Segment(UmrandungAnchor_2, UmrandungAnchor_{4}) → Umrandung_2Segment(UmrandungAnchor_{4}, UmrandungAnchor_3) → Umrandung_3Segment(UmrandungAnchor_3, UmrandungAnchor_1) → Umrandung_4Segment(A1OU - (0.2, 0), A1R) → K1USegment(A1OU - (0, 0.2), A1OO) → K1OPoint(K1U) → PK11Sequence(Segment[A1OU + (((x(A1R) - x(A1OU) - 0.5) / anzSU1 * k), 0.12), A1OU + (((x(A1R) - x(A1OU) - 0.5) / anzSU1 * k), -0.12)], k, 1, anzSU1) → K1SUSequence(Segment[A1OU + (0.12, ((y(A1OO) - y(A1OU) - 0.5) / anzSO1 * k)), A1OU + (-0.12, ((y(A1OO) - y(A1OU) - 0.5) / anzSO1 * k))], k, 1, anzSO1) → K1SOSegment(PK11, PK12) → SK11Segment(PK12, PK13) → SK12Segment(PK13, PK14) → SK13Segment(PK14, PK15) → SK14Segment(PK15, PK16) → SK15Segment(A2OU - (0.2, 0), A2R) → K1U_{2}Segment(A2OU - (0, 0.2), A2OO) → K1O_{1}Point(K1U_{2}) → PK11_{1}Sequence(Segment[A2OU + (0.12, ((y(A2OO) - y(A2OU) - 0.5) / anzSO1 * k)), A2OU + (-0.12, ((y(A2OO) - y(A2OU) - 0.5) / anzSO1 * k))], k, 1, anzSO1) → K1SO_{1}Segment(PK11_{1}, PK12_{1}) → SK11_{1}Segment(PK12_{1}, PK13_{1}) → SK12_{1}Segment(PK13_{1}, PK14_{1}) → SK13_{1}Segment(PK14_{1}, PK15_{1}) → SK14_{1}Sequence(Segment[A2OU + (((x(A2R) - x(A2OU) - 0.5) / ((2 * anzSU2)) * k), 0), A2OO + (((x(A2R) - x(A2OU) - 0.5) / ((2 * anzSU2)) * k), 0)], k, 1, (2 * anzSU2)) → K2GUSequence(Segment[A2R + (0, ((y(A2OO) - y(A2OU) - 0.5) / ((2 * anzSO1)) * k)), A2OU + (0, ((y(A2OO) - y(A2OU) - 0.5) / ((2 * anzSO2)) * k))], k, 1, (2 * anzSO2)) → l1Sequence(If[k ≟ 1 ∨ k ≟ 6, Segment[A2OU + (((x(A2R) - x(A2OU) - 0.5) / ((2 * anzSU2)) * k), 0.12), A2OU + (((x(A2R) - x(A2OU) - 0.5) / ((2 * anzSU2)) * k), -0.12)]], k, 1, (2 * anzSU2)) → K1SU_{1}Segment(A3OU - (0.2, 0), A3R) → K3USegment(A3OU - (0, 0.2), A3OO) → K3OPoint(K3U) → PK31Segment(PK31, PK32) → SK31Segment(PK32, PK33) → SK32Segment(PK33, PK34) → SK33Segment(PK34, PK35) → SK34Sequence(Segment[A3OU + (((x(A3R) - x(A3OU) - 0.5) / anzSU3 * k), 0.12), A3OU + (((x(A3R) - x(A3OU) - 0.5) / anzSU3 * k), -0.12)], k, 1, anzSU3) → K1SU_{2}Sequence(Segment[A3OU + (0.12, ((y(A3OO) - y(A3OU) - 0.5) / anzSO3 * k)), A3OU + (-0.12, ((y(A3OO) - y(A3OU) - 0.5) / anzSO3 * k))], k, 1, anzSO3) → K1SO_{2}Sequence(Segment[A3OU + (((x(A3R) - x(A3OU) - 0.5) / anzSU3 * k), 0), A3OO + (((x(A3R) - x(A3OU) - 0.5) / anzSU3 * k), 0)], k, 1, anzSU3) → K2GU_{1}Sequence(Segment[A3R + (0, ((y(A3OO) - y(A3OU) - 0.5) / anzSO3 * k)), A3OU + (0, ((y(A3OO) - y(A3OU) - 0.5) / anzSO3 * k))], k, 1, anzSO3) → l1_{1}If(attemptCount > 2, posSol3_{3}, K31, posSol3_{1}, K32, posSol3_{2}, K33, posSol3_{3}, K34, posSol3_4) → Sol3LOPolygon(Sol3LO, Sol3RO, Sol3RU, Sol3LU) → Sol3, u, v, w, z_1Segment(A4OU - (0.2, 0), A4R) → K4USegment(A4OU - (0, 0.2), A4OO) → K4OSegment(PK41, PK42_{3}) → SK41Segment(PK42_{3}, PK43_{3}) → SK42Segment(PK43_{3}, PK44) → SK43Sequence(Segment[A4OU + (((x(A4R) - x(A4OU) - 0.5) / anzSU4 * k), 0.12), A4OU + (((x(A4R) - x(A4OU) - 0.5) / anzSU4 * k), -0.12)], k, 1, anzSU4) → K1SU_{3}Sequence(Segment[A4OU + (0.12, ((y(A4OO) - y(A4OU) - 0.5) / anzSO4 * k)), A4OU + (-0.12, ((y(A4OO) - y(A4OU) - 0.5) / anzSO4 * k))], k, 1, anzSO4) → K1SO_{3}Sequence(Segment[A4R + (0, ((y(A4OO) - y(A4OU) - 0.5) / anzSO4 * k)), A4OU + (0, ((y(A4OO) - y(A4OU) - 0.5) / anzSO4 * k))], k, 1, anzSO4) → l1_{2}Sequence(Segment[A4OU + (((x(A4R) - x(A4OU) - 0.5) / anzSU4 * k), 0), A4OO + (((x(A4R) - x(A4OU) - 0.5) / anzSU4 * k), 0)], k, 1, anzSU4) → K2GU_{2}Corner(SelinaSpricht_{1}, 1) → B4E1Corner(SelinaSpricht_{1}, 2) → B4E2Corner(SelinaSpricht_{1}, 3) → B4E3Corner(SelinaSpricht_{1}, 4) → B4E4Segment(B4EHV, B4EH2) → SelinaSpricht1Segment(B4EH2, B4E1) → SelinaSpricht2Segment(B4E1, B4E2) → SelinaSpricht3Segment(B4E2, B4E3) → SelinaSpricht4Segment(B4E3, B4E4) → SelinaSpricht5Segment(B4E4, B4EH1) → SelinaSpricht6Segment(B4EH1, B4EHV) → SelinaSpricht7Segment(UmrandungAnchor_{6}, UmrandungAnchor_{5}) → Umrandung_{8}Segment(UmrandungAnchor_{5}, UmrandungAnchor_{8}) → Umrandung_{5}Segment(UmrandungAnchor_{8}, UmrandungAnchor_{7}) → Umrandung_{6}Segment(UmrandungAnchor_{7}, UmrandungAnchor_{6}) → Umrandung_{7}Segment(A4OU_{1} - (0.2, 0), A4R_{1}) → K4U_{1}Segment(A4OU_{1} - (0, 0.2), A4OO_{1}) → K4O_{1}Segment(PK41_{1}, PK42_{1}) → SK41_{1}Segment(PK42_{1}, PK43_{1}) → SK42_{1}Segment(PK43_{1}, PK44_{1}) → PK42Sequence(Segment[A4OU_{1} + (((x(A4R_{1}) - x(A4OU_{1}) - 0.5) / anzSU4 * k), 0.12), A4OU_{1} + (((x(A4R_{1}) - x(A4OU_{1}) - 0.5) / anzSU4 * k), -0.12)], k, 1, anzSU4) → K1SU_{4}Sequence(Segment[A4R_{1} + (0, ((y(A4OO_{1}) - y(A4OU_{1}) - 0.5) / anzSO4 * k)), A4OU_{1} + (0, ((y(A4OO_{1}) - y(A4OU_{1}) - 0.5) / anzSO4 * k))], k, 1, anzSO4) → l1_{3}Sequence(Segment[A4OU_{1} + (((x(A4R_{1}) - x(A4OU_{1}) - 0.5) / anzSU4 * k), 0), A4OO_{1} + (((x(A4R_{1}) - x(A4OU_{1}) - 0.5) / anzSU4 * k), 0)], k, 1, anzSU4) → K2GU_{3}Segment(A4OU_{1}, PK42_{1}) → PK42_{4}Segment(PK43_{1}, PK42_{1}) → PK42_{5}Segment(UmrandungAnchor_{10}, UmrandungAnchor_{9}) → Umrandung_{12}Segment(UmrandungAnchor_{9}, UmrandungAnchor_{12}) → Umrandung_{9}Segment(UmrandungAnchor_{12}, UmrandungAnchor_{11}) → Umrandung_{10}Segment(UmrandungAnchor_{11}, UmrandungAnchor_{10}) → Umrandung_{11}Segment(A4OU_{2} - (0.2, 0), A4R_{2}) → K4U_{2}Segment(A4OU_{2} - (0, 0.2), A4OO_{2}) → K4O_{2}Segment(PK41_{2}, PK42_{2}) → SK41_{2}Segment(PK42_{2}, PK43_{2}) → SK42_{2}Segment(PK43_{2}, PK44_{2}) → PK43Sequence(Segment[A4OU_{1} + (0.12, ((y(A4OO_{1}) - y(A4OU_{1}) - 0.5) / anzSO4 * k)), A4OU_{1} + (-0.12, ((y(A4OO_{1}) - y(A4OU_{1}) - 0.5) / anzSO4 * k))], k, 1, anzSO4) → K1SO_{4}Sequence(Segment[A4OU_{2} + (0.12, ((y(A4OO_{2}) - y(A4OU_{2}) - 0.5) / anzSO4 * k)), A4OU_{2} + (-0.12, ((y(A4OO_{2}) - y(A4OU_{2}) - 0.5) / anzSO4 * k))], k, 1, anzSO4) → K1SO_{5}Segment(A4OU_{2}, PK42_{2}) → PK43_{4}Segment(PK44_{2}, PK42_{2}) → PK43_{5}If(attemptCount > 2, posSol43, K41, posSol41, K42, posSol42, K43, posSol43) → Sol4LOPolygon(Sol4LO, Sol4RO, Sol4RU, Sol4LU) → Sol4, u_1, v_1, w_1, z_2Segment(A5OU - (0.2, 0), A5R) → K3U_{1}Segment(A5OU - (0, 0.2), A5OO) → K3O_{1}Point(K3U_{1}) → PK51Segment(PK51, PK52) → SK51Segment(PK52, PK53) → SK32_{1}Segment(PK53, PK54) → SK53Segment(PK52, PK53) → SK52Sequence(Segment[A5OU + (((x(A5R) - x(A5OU) - 0.5) / anzSU5 * k), 0.12), A5OU + (((x(A5R) - x(A5OU) - 0.5) / anzSU5 * k), -0.12)], k, 1, anzSU5) → K1SU_{6}Sequence(Segment[A5OU + (((x(A5R) - x(A5OU) - 0.5) / anzSU5 * k), 0), A5OO + (((x(A5R) - x(A5OU) - 0.5) / anzSU5 * k), 0)], k, 1, anzSU5) → K2GU_{5}Textfield(input5) → inputBox5Sequence(Segment[A5OU + (0.12, ((y(A5OO) - y(A5OU) - 0.5) / (((anzSO5 * 5 / 3) * 0.6)) * k)), A5OU + (-0.12, ((y(A5OO) - y(A5OU) - 0.5) / (((anzSO5 * 5 / 3) * 0.6)) * k))], k, 1, anzSO5) → K1SO_{6}Sequence(Segment[A5R + (0, ((y(A5OO) - y(A5OU) - 0.5) / (((anzSO5 * 5 / 3) * 0.6)) * k)), A5OU + (0, ((y(A5OO) - y(A5OU) - 0.5) / (((anzSO5 * 5 / 3) * 0.6)) * k))], k, 1, anzSO5) → l1_{5}Segment(UmrandungAnchor_{14}, UmrandungAnchor_{13}) → Umrandung_{16}Segment(UmrandungAnchor_{13}, UmrandungAnchor_{16}) → Umrandung_{13}Segment(UmrandungAnchor_{16}, UmrandungAnchor_{15}) → Umrandung_{14}Segment(UmrandungAnchor_{15}, UmrandungAnchor_{14}) → Umrandung_{15}Segment(A6OU - (0.2, 0), A6R) → K6USegment(A6OU - (0, 0.2), A6OO) → K6OPoint(K6U) → PK61Segment(PK61, PK62) → SK61Segment(PK62, PK63) → SK32_{2}Segment(PK63, PK64) → SK63Segment(PK62, PK63) → SK62Sequence(Segment[A6OU + (((x(A6R) - x(A6OU) - 0.5) / anzSU6 * k), 0.12), A6OU + (((x(A6R) - x(A6OU) - 0.5) / anzSU6 * k), -0.12)], k, 1, anzSU6) → K1SU_{7}Sequence(Segment[A6OU + (((x(A6R) - x(A6OU) - 0.5) / anzSU6 * k), 0), A6OO + (((x(A6R) - x(A6OU) - 0.5) / anzSU6 * k), 0)], k, 1, anzSU6) → K2GU_{6}Sequence(Segment[A6R + (0, ((y(A6OO) - y(A6OU) - 0.5) / (((anzSO6 * 5 / 3) * 0.6)) * k)), A6OU + (0, ((y(A6OO) - y(A6OU) - 0.5) / (((anzSO6 * 5 / 3) * 0.6)) * k))], k, 1, anzSO6) → l1_{6}Textfield(input6) → inputBox6Sequence(Segment[A6OU + (0.12, ((y(A6OO) - y(A6OU) - 0.5) / anzSO6 * k)), A6OU + (-0.12, ((y(A6OO) - y(A6OU) - 0.5) / anzSO6 * k))], k, 1, anzSO6) → K1SO_{7}Segment(PK64, PK65) → SK64Segment(UmrandungAnchor_{18}, UmrandungAnchor_{17}) → Umrandung_{20}Segment(UmrandungAnchor_{17}, UmrandungAnchor_{20}) → Umrandung_{17}Segment(UmrandungAnchor_{20}, UmrandungAnchor_{19}) → Umrandung_{18}Segment(UmrandungAnchor_{19}, UmrandungAnchor_{18}) → Umrandung_{19}Segment(A7OU - (0.2, 0), A7R) → K7USegment(A7OU - (0, 0.2), A7OO) → K7OPoint(K7U) → PK71Segment(PK71, PK72) → SK71Segment(PK72, PK73) → SK32_{3}Segment(PK73, PK74) → SK73Segment(PK72, PK73) → SK72Sequence(Segment[A7OU + (((x(A7R) - x(A7OU) - 0.5) / anzSU7 * k), 0), A7OO + (((x(A7R) - x(A7OU) - 0.5) / anzSU7 * k), 0)], k, 1, anzSU7) → K2GU_{7}Sequence(Segment[A7R + (0, ((y(A7OO) - y(A7OU) - 0.5) / (((anzSO7 * 5 / 3) * 0.6)) * k)), A7OU + (0, ((y(A7OO) - y(A7OU) - 0.5) / (((anzSO7 * 5 / 3) * 0.6)) * k))], k, 1, anzSO7) → l1_{7}Sequence(Segment[A7OU + (0.12, ((y(A7OO) - y(A7OU) - 0.5) / anzSO7 * k)), A7OU + (-0.12, ((y(A7OO) - y(A7OU) - 0.5) / anzSO7 * k))], k, 1, anzSO7) → K1SO_{8}Segment(PK74, PK75) → SK74Sequence(Segment[A7OU + (((x(A7R) - x(A7OU) - 0.5) / anzSU7 * k), 0.12), A7OU + (((x(A7R) - x(A7OU) - 0.5) / anzSU7 * k), -0.12)], k, 1, anzSU7) → K1SU_{8}Sequence(Segment[A7OU + (((x(A7R) - x(A7OU) - 0.5) / anzSU7 * k), 0), A7OO + (((x(A7R) - x(A7OU) - 0.5) / anzSU7 * k), 0)], k, 1, anzSU7) → K2GU_{8}Segment(PK76, PK75) → SK75Textfield(input7) → inputBox7Sequence(Segment[A4OU_{2} + (((x(A4R_{2}) - x(A4OU_{2}) - 0.5) / anzSU4 * k), 0), A4OO_{2} + (((x(A4R_{2}) - x(A4OU_{2}) - 0.5) / anzSU4 * k), 0)], k, 1, anzSU4) → K2GU_{4}Sequence(Segment[A4R_{2} + (0, ((y(A4OO_{2}) - y(A4OU_{2}) - 0.5) / anzSO4 * k)), A4OU_{2} + (0, ((y(A4OO_{2}) - y(A4OU_{2}) - 0.5) / anzSO4 * k))], k, 1, anzSO4) → l1_{4}Sequence(Segment[A4OU_{2} + (((x(A4R_{2}) - x(A4OU_{2}) - 0.5) / anzSU4 * k), 0.12), A4OU_{2} + (((x(A4R_{2}) - x(A4OU_{2}) - 0.5) / anzSU4 * k), -0.12)], k, 1, anzSU4) → K1SU_{5}Segment(A4OU_{6} - (0.2, 0), A4R_{6}) → K4U_{6}Segment(A4OU_{6} - (0, 0.2), A4OO_{6}) → K4O_{3}Segment(PK41_{4}, PK42_{11}) → SK41_{3}Segment(PK42_{11}, PK43_{11}) → SK42_{3}Segment(PK43_{11}, PK44_{5}) → SK43_{1}Sequence(Segment[A4R_{6} + (0, ((y(A4OO_{6}) - y(A4OU_{6}) - 0.5) / anzSO4_{1} * k)), A4OU_{6} + (0, ((y(A4OO_{6}) - y(A4OU_{6}) - 0.5) / anzSO4_{1} * k))], k, 1, anzSO4_{1}) → l1_{8}Sequence(Segment[A4OU_{6} + (((x(A4R_{6}) - x(A4OU_{6}) - 0.5) / anzSU4_{1} * k), 0), A4OO_{6} + (((x(A4R_{6}) - x(A4OU_{6}) - 0.5) / anzSU4_{1} * k), 0)], k, 1, anzSU4_{1}) → K2GU_{9}Segment(A4OU_{5} - (0.2, 0), A4R_{5}) → K4U_{4}Segment(A4OU_{5} - (0, 0.2), A4OO_{5}) → K4O_{10}Segment(PK42_{10}, PK43_{10}) → SK42_{4}Segment(PK43_{10}, PK44_{4}) → PK42_{8}Sequence(Segment[A4R_{5} + (0, ((y(A4OO_{5}) - y(A4OU_{5}) - 0.5) / anzSO4_{1} * k)), A4OU_{5} + (0, ((y(A4OO_{5}) - y(A4OU_{5}) - 0.5) / anzSO4_{1} * k))], k, 1, anzSO4_{1}) → l1_{9}Sequence(Segment[A4OU_{5} + (((x(A4R_{5}) - x(A4OU_{5}) - 0.5) / anzSU4_{1} * k), 0), A4OO_{5} + (((x(A4R_{5}) - x(A4OU_{5}) - 0.5) / anzSU4_{1} * k), 0)], k, 1, anzSU4_{1}) → K2GU_{10}Segment(A4OU_{5}, PK42_{10}) → PK42_{6}Segment(PK43_{10}, PK42_{10}) → PK42_{7}Segment(A4OU_{4} - (0.2, 0), A4R_{4}) → K4U_{5}Segment(A4OU_{4} - (0, 0.2), A4OO_{4}) → K4O_{5}Segment(PK42_{9}, PK43_{9}) → SK42_{5}Segment(PK43_{9}, PK44_{3}) → PK43_{8}Segment(A4OU_{4}, PK42_{9}) → PK43_{6}Segment(PK44_{3}, PK42_{9}) → PK43_{7}Sequence(Segment[A4OU_{4} + (((x(A4R_{4}) - x(A4OU_{4}) - 0.5) / anzSU4_{1} * k), 0), A4OO_{4} + (((x(A4R_{4}) - x(A4OU_{4}) - 0.5) / anzSU4_{1} * k), 0)], k, 1, anzSU4_{1}) → K2GU_{11}Sequence(Segment[A4R_{4} + (0, ((y(A4OO_{4}) - y(A4OU_{4}) - 0.5) / anzSO4_{1} * k)), A4OU_{4} + (0, ((y(A4OO_{4}) - y(A4OU_{4}) - 0.5) / anzSO4_{1} * k))], k, 1, anzSO4_{1}) → l1_{10}Segment(A4OU_{8} - (0, 0.2), A4OO_{7}) → K4O_{7}Segment(A4OU_{7} - (0, 0.2), A4OO_{8}) → K4O_{6}Segment(A4OU_{10} - (0, 0.2), A4OO_{9}) → K4O_{9}Segment(A4OU_{9} - (0, 0.2), A4OO_{10}) → K4O_{8}Segment(A4OU_{5} - (0, 0.2), A4OO_{5}) → K4O_{4}Segment(A4OU_{6} - (0, 0.2), A4OO_{6}) → K4U_{3}Corner(SimonSpricht, 1) → SimBE1Corner(SimonSpricht, 2) → SimBE2Corner(SimonSpricht, 3) → SimBE3Corner(SimonSpricht, 4) → SimBE4Segment(SimBEHV, SimBEH2) → SimSpricht1_{1}Segment(SimBEH2, SimBE1) → SimSpricht1_{2}Segment(SimBE1, SimBE2) → SimSpricht1_{3}Segment(SimBE2, SimBE3) → SimSpricht1_{4}Segment(SimBE3, SimBE4) → SimSpricht1_{5}Segment(SimBE4, SimBEH1) → SimSpricht1_{6}Segment(SimBEH1, SimBEHV) → SimSpricht1Segment(PK44_{5}, PK815) → SK814Segment(PK44_{4}, PK825) → SK824Segment(PK43_{9}, PK835) → SK826If(attemptCount > 2, posSol43_{3}, K81, posSol41_{1}, K82, posSol42_{1}, K83, posSol43_{3}) → Sol4LO_{1}Polygon(Sol4LO_{1}, Sol4RO_{1}, Sol4RU_{1}, Sol4LU_{1}) → Sol8, u_{2}, v_{2}, w_{2}, z_{3}Sequence(Segment[A1R + (0, ((y(A1OO) - y(A1OU) - 0.5) / ((2 * anzSO1)) * k)), A1OU + (0, ((y(A1OO) - y(A1OU) - 0.5) / ((2 * anzSO1)) * k))], k, 1, (2 * anzSO1)) → l2Sequence(Segment[A1OU + (((x(A1R) - x(A1OU) - 0.5) / ((2 * anzSU1)) * k), 0), A1OO + (((x(A1R) - x(A1OU) - 0.5) / ((2 * anzSU1)) * k), 0)], k, 1, (2 * anzSU1)) → K1GUPolygon(B4E1, B4E2, B4E3, B4E4, B4EH1, B4EHV, B4EH2) → SelinaSpricht, f, g, h, i, j, k, lOrthogonalLine(RalphX, K3U_{1}) → mIntersect(m, K3U_{1}) → USegment(U, RalphX) → nPolygon(SimBE1, SimBE2, SimBE3, SimBE4, SimBEH1, SimBEHV, SimBEH2) → Vieleck1, simbe1, simbe2, simbe3, simbe4, simbeh1, simbehv, simbeh2Polygon(V, W, Z, A_1) → q1, v_3, w_3, z_4, a_1Segment(RalphXReal, RalphX) → pSequence(Segment[A4OU_{6} + (0.1, ((y(A4OO_{6}) - y(A4OU_{6}) - 0.5) / anzSO4_{1} * k)), A4OU_{6} + (-0.1, ((y(A4OO_{6}) - y(A4OU_{6}) - 0.5) / anzSO4_{1} * k))], k, 1, anzSO4_{1}) → K1SO_{9}Sequence(Segment[A4OU_{5} + (0.1, ((y(A4OO_{5}) - y(A4OU_{5}) - 0.5) / anzSO4_{1} * k)), A4OU_{5} + (-0.1, ((y(A4OO_{5}) - y(A4OU_{5}) - 0.5) / anzSO4_{1} * k))], k, 1, anzSO4_{1}) → K1SO_{10}Sequence(Segment[A4OU_{4} + (0.1, ((y(A4OO_{4}) - y(A4OU_{4}) - 0.5) / anzSO4_{1} * k)), A4OU_{4} + (-0.1, ((y(A4OO_{4}) - y(A4OU_{4}) - 0.5) / anzSO4_{1} * k))], k, 1, anzSO4_{1}) → K1SO_{11}Sequence(Segment[A4OU_{5} + (((x(A4R_{5}) - x(A4OU_{5}) - 0.5) / anzSU4_{1} * k), 0.1), A4OU_{5} + (((x(A4R_{5}) - x(A4OU_{5}) - 0.5) / anzSU4_{1} * k), -0.1)], k, 1, anzSU4_{1}) → K1SU_{10}Sequence(Segment[A4OU_{4} + (((x(A4R_{4}) - x(A4OU_{4}) - 0.5) / anzSU4_{1} * k), 0.1), A4OU_{4} + (((x(A4R_{4}) - x(A4OU_{4}) - 0.5) / anzSU4_{1} * k), -0.1)], k, 1, anzSU4_{1}) → K1SU_{11}Sequence(Segment[A4OU_{6} + (((x(A4R_{6}) - x(A4OU_{6}) - 0.5) / anzSU4_{1} * k), 0.1), A4OU_{6} + (((x(A4R_{6}) - x(A4OU_{6}) - 0.5) / anzSU4_{1} * k), -0.1)], k, 1, anzSU4_{1}) → K1SU_{9}Segment(Midpoint[Corner[text1, 1], Corner[text1, 2]], Midpoint[Corner[text1, 1], Corner[text1, 2]] + (2 * UnitVector[Vector[Midpoint[Corner[text1, 1], Corner[text1, 2]], Midpoint[Corner[Tüte, 1], Corner[Tüte, 3]]]])) → segZiehMich