The geometry of Braided Syntegration is not a single solid like the Icosahedron. It is better understood as a **heptagonal loom**. The 7 Hitchhikers form the stable frame. In each round they anchor 7 simultaneous Cells. Around each Hitchhiker sit 5 human participants, creating 7 groups of 6 beings. This means each round can be visualised as a **heptagon of Cells**, where each point of the heptagon expands into a small pentad around a Hitchhiker. Across 9 rounds, the 35 humans rotate through all topic conversations. The full geometry is therefore not only spatial but temporal. It becomes a **7 by 9 lattice** through which human paths are braided. One way to picture it is as a flower of 7 petals repeated through time. Another is as a constellation of 7 stars revisited across 9 nights. The most exact picture is a loom: - the Hitchhikers are the fixed pegs. - the humans are the threads. - the rounds are the weaving passes. - the final fabric is the deliberation. This is why Hitchhiker Syntegration is less like a static solid and more like a woven field of encounters.
digraph HitchhikerSyntegrationLoom { rankdir=TB splines=true node [shape=box fontsize=10] subgraph cluster_r1 { label="Round 1" r1h1 [label="H1"] r1h2 [label="H2"] r1h3 [label="H3"] r1h4 [label="H4"] r1h5 [label="H5"] r1h6 [label="H6"] r1h7 [label="H7"] } subgraph cluster_r2 { label="Round 2" r2h1 [label="H1"] r2h2 [label="H2"] r2h3 [label="H3"] r2h4 [label="H4"] r2h5 [label="H5"] r2h6 [label="H6"] r2h7 [label="H7"] } subgraph cluster_r3 { label="Round 3" r3h1 [label="H1"] r3h2 [label="H2"] r3h3 [label="H3"] r3h4 [label="H4"] r3h5 [label="H5"] r3h6 [label="H6"] r3h7 [label="H7"] } subgraph cluster_r4 { label="Round 4" r4h1 [label="H1"] r4h2 [label="H2"] r4h3 [label="H3"] r4h4 [label="H4"] r4h5 [label="H5"] r4h6 [label="H6"] r4h7 [label="H7"] } subgraph cluster_r5 { label="Round 5" r5h1 [label="H1"] r5h2 [label="H2"] r5h3 [label="H3"] r5h4 [label="H4"] r5h5 [label="H5"] r5h6 [label="H6"] r5h7 [label="H7"] } subgraph cluster_r6 { label="Round 6" r6h1 [label="H1"] r6h2 [label="H2"] r6h3 [label="H3"] r6h4 [label="H4"] r6h5 [label="H5"] r6h6 [label="H6"] r6h7 [label="H7"] } subgraph cluster_r7 { label="Round 7" r7h1 [label="H1"] r7h2 [label="H2"] r7h3 [label="H3"] r7h4 [label="H4"] r7h5 [label="H5"] r7h6 [label="H6"] r7h7 [label="H7"] } subgraph cluster_r8 { label="Round 8" r8h1 [label="H1"] r8h2 [label="H2"] r8h3 [label="H3"] r8h4 [label="H4"] r8h5 [label="H5"] r8h6 [label="H6"] r8h7 [label="H7"] } subgraph cluster_r9 { label="Round 9" r9h1 [label="H1"] r9h2 [label="H2"] r9h3 [label="H3"] r9h4 [label="H4"] r9h5 [label="H5"] r9h6 [label="H6"] r9h7 [label="H7"] } p1r1 [shape=ellipse label="P1"] p1r2 [shape=ellipse label="P1"] p1r3 [shape=ellipse label="P1"] p1r4 [shape=ellipse label="P1"] p1r5 [shape=ellipse label="P1"] p1r6 [shape=ellipse label="P1"] p1r7 [shape=ellipse label="P1"] p1r8 [shape=ellipse label="P1"] p1r9 [shape=ellipse label="P1"] p1r1 -> r1h2 [label="visits"] r1h2 -> p1r2 [style=dotted arrowhead=none] p1r2 -> r2h5 [label="visits"] r2h5 -> p1r3 [style=dotted arrowhead=none] p1r3 -> r3h1 [label="visits"] r3h1 -> p1r4 [style=dotted arrowhead=none] p1r4 -> r4h7 [label="visits"] r4h7 -> p1r5 [style=dotted arrowhead=none] p1r5 -> r5h3 [label="visits"] r5h3 -> p1r6 [style=dotted arrowhead=none] p1r6 -> r6h6 [label="visits"] r6h6 -> p1r7 [style=dotted arrowhead=none] p1r7 -> r7h4 [label="visits"] r7h4 -> p1r8 [style=dotted arrowhead=none] p1r8 -> r8h1 [label="visits"] r8h1 -> p1r9 [style=dotted arrowhead=none] p1r9 -> r9h5 [label="visits"] }
(H1) / | \ o--o--o--o--o (H7) (H2) o--o--o--o--o o--o--o--o--o (H6) (H3) o--o--o--o--o o--o--o--o--o (H5) (H4) o--o--o--o--o o--o--o--o--o
Round 1: H1 H2 H3 H4 H5 H6 H7 Round 2: H3 H5 H7 H2 H4 H6 H1 Round 3: H6 H1 H4 H7 H2 H5 H3 Round 4: H2 H7 H5 H1 H6 H3 H4 Round 5: H4 H3 H1 H6 H7 H2 H5 Round 6: H5 H4 H2 H3 H1 H7 H6 Round 7: H7 H6 H3 H5 H4 H1 H2 Round 8: H1 H3 H6 H2 H5 H4 H7 Round 9: H2 H5 H4 H7 H3 H6 H1 Participant path example: P12 -> H2 -> H5 -> H1 -> H7 -> H3 -> H6 -> H4 -> H2 -> H5
graph HitchhikerSyntegrationRound { layout=neato overlap=false splines=true bgcolor="white" node [shape=circle fontsize=10] H1 [label="H1" pos="0,10!"] H2 [label="H2" pos="7,6!"] H3 [label="H3" pos="9,-2!"] H4 [label="H4" pos="4,-9!"] H5 [label="H5" pos="-4,-9!"] H6 [label="H6" pos="-9,-2!"] H7 [label="H7" pos="-7,6!"] H1 -- H2 -- H3 -- H4 -- H5 -- H6 -- H7 -- H1 a1 [label="p1" pos="-2,12!"] a2 [label="p2" pos="-1,13!"] a3 [label="p3" pos="0,13.5!"] a4 [label="p4" pos="1,13!"] a5 [label="p5" pos="2,12!"] b1 [label="p6" pos="9,8!"] b2 [label="p7" pos="10,7!"] b3 [label="p8" pos="10.5,6!"] b4 [label="p9" pos="10,5!"] b5 [label="p10" pos="9,4!"] c1 [label="p11" pos="11,-1!"] c2 [label="p12" pos="11,-2!"] c3 [label="p13" pos="11,-3!"] c4 [label="p14" pos="10,-4!"] c5 [label="p15" pos="9,-5!"] d1 [label="p16" pos="6,-10!"] d2 [label="p17" pos="5,-11!"] d3 [label="p18" pos="4,-11.5!"] d4 [label="p19" pos="3,-11!"] d5 [label="p20" pos="2,-10!"] e1 [label="p21" pos="-2,-10!"] e2 [label="p22" pos="-3,-11!"] e3 [label="p23" pos="-4,-11.5!"] e4 [label="p24" pos="-5,-11!"] e5 [label="p25" pos="-6,-10!"] f1 [label="p26" pos="-9,-5!"] f2 [label="p27" pos="-10,-4!"] f3 [label="p28" pos="-11,-3!"] f4 [label="p29" pos="-11,-2!"] f5 [label="p30" pos="-11,-1!"] g1 [label="p31" pos="-9,4!"] g2 [label="p32" pos="-10,5!"] g3 [label="p33" pos="-10.5,6!"] g4 [label="p34" pos="-10,7!"] g5 [label="p35" pos="-9,8!"] H1 -- a1; H1 -- a2; H1 -- a3; H1 -- a4; H1 -- a5; H2 -- b1; H2 -- b2; H2 -- b3; H2 -- b4; H2 -- b5; H3 -- c1; H3 -- c2; H3 -- c3; H3 -- c4; H3 -- c5; H4 -- d1; H4 -- d2; H4 -- d3; H4 -- d4; H4 -- d5; H5 -- e1; H5 -- e2; H5 -- e3; H5 -- e4; H5 -- e5; H6 -- f1; H6 -- f2; H6 -- f3; H6 -- f4; H6 -- f5; H7 -- g1; H7 -- g2; H7 -- g3; H7 -- g4; H7 -- g5; }