Hyp cos's 4-entry series is the group of numbers which was defined by Wikia user Hyp cos using strong array notation and expressions of of the form s(a,b,c,d) with a, b, d > 1.[1]
| Previous series | Next series |
|---|---|
| 3-entry series | 5+ entry series |
Primitol group[]
This group includes primitol, primitolplex, primitolbiplex, primitoltriplex, primitolquadriplex, primibol, primibolplex, primitrol, primitrolplex, primitetol, primitetolplex, primipenol and primipenolplex in order.
| Name of number | Strong array notation (definition) | Chained arrow notation (exact equality) |
|---|---|---|
| primitol | s(3,2,2,2) | \(3\rightarrow3\rightarrow2\rightarrow2\) |
| primitolplex | s(3,3,2,2) | \(3\rightarrow3\rightarrow3\rightarrow2\) |
| primitolbiplex | s(3,4,2,2) | \(3\rightarrow3\rightarrow4\rightarrow2\) |
| primitoltriplex | s(3,5,2,2) | \(3\rightarrow3\rightarrow5\rightarrow2\) |
| primitolquadriplex | s(3,6,2,2) | \(3\rightarrow3\rightarrow6\rightarrow2\) |
| primibol | s(3,2,3,2) | \(3\rightarrow3\rightarrow2\rightarrow3\) |
| primibolplex | s(3,3,3,2) | \(3\rightarrow3\rightarrow3\rightarrow3\) |
| primitrol | s(3,2,4,2) | \(3\rightarrow3\rightarrow2\rightarrow4\) |
| primitrolplex | s(3,3,4,2) | \(3\rightarrow3\rightarrow3\rightarrow4\) |
| primitetol | s(3,2,5,2) | \(3\rightarrow3\rightarrow2\rightarrow5\) |
| primitetolplex | s(3,3,5,2) | \(3\rightarrow3\rightarrow3\rightarrow5\) |
| primipenol | s(3,2,6,2) | \(3\rightarrow3\rightarrow2\rightarrow6\) |
| primitrolplex | s(3,3,6,2) | \(3\rightarrow3\rightarrow3\rightarrow6\) |
Tetentri group[]
This group includes duprimitol, duprimitolplex, duprimibol and tetentri in order.
| Name of number | Strong array notation (definition) | Chained arrow notation (exact equality) |
|---|---|---|
| duprimitol | s(3,2,2,3) | \(3\rightarrow3\rightarrow3\rightarrow2\rightarrow2\) |
| duprimitolplex | s(3,3,2,3) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\) |
| duprimibol | s(3,2,3,3) | \(3\rightarrow3\rightarrow3\rightarrow2\rightarrow3\) |
| tetentri (duprimibolplex) | s(3,3,3,3) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\) |
Tetentet group[]
This group includes truprimitol, truprimitolplex, truprimibol, truprimibolplex and tetentet in order.
| Name of number | Strong array notation (definition) | Chained arrow notation (exact equality) |
|---|---|---|
| truprimitol | s(3,2,2,4) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow2\) |
| truprimitolplex | s(3,3,2,4) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\) |
| truprimibol | s(3,2,3,4) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow3\) |
| truprimibolplex | s(3,3,3,4) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\) |
| tetentet | s(4,4,4,4) | \(4\rightarrow4\rightarrow4\rightarrow4\rightarrow4\rightarrow4\) |
Tetenpent group[]
This group includes quadprimitol, quadprimitolplex, quadprimibol, quadprimibolplex and tetenpent in order.
| Name of number | Strong array notation (definition) | Chained arrow notation (exact equality) |
|---|---|---|
| quadprimitol | s(3,2,2,5) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow2\) |
| quadprimitolplex | s(3,3,2,5) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\) |
| quadprimibol | s(3,2,3,5) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow3\) |
| quadprimibolplex | s(3,3,3,5) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\) |
| tetenpent | s(5,5,5,5) | \(5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\rightarrow5\) |
Tetenhex group[]
This group includes quinprimitol, quinprimitolplex, quinprimibol, quinprimibolplex and tetenhex in order.
| Name of number | Strong array notation (definition) | Chained arrow notation (exact equality) |
|---|---|---|
| quinprimitol | s(3,2,2,6) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow2\) |
| quinprimitolplex | s(3,3,2,6) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\) |
| quinprimibol | s(3,2,3,6) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow2\rightarrow3\) |
| quinprimibolplex | s(3,3,3,6) | \(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\) |
| tetenhex | s(6,6,6,6) | \(6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\rightarrow6\) |
Sources[]
- ↑ Hyp cos. Numbers from linear array notation. Steps Toward Infinity!. Retrieved 2017-09-30.