Template:Seal triangle OakDrop examples

OakDrop(5, 0)=0
seals with arity 5 and depth 0 Oak(5, 0) = 1 with adicity 0 OakDrop(5, 0) = 0 with adicity 5

OakDrop(5, 1)=ExOak(4, 4)=1 ⋅ 6=16
seals with arity 5 and depth 1 Oak(5, 1) = 31 with adicities 1...5 OakDrop(5, 1) = 16 with adicity 5	seal blocks with arity 4 and depth 4 ExOak(4, 4) = ExOakDrop(4, 4) = 16 with adicity 4

OakDrop(5, 2)=ExOak(4, 3)=15 ⋅ 8=120
seals with arity 5 and depth 2 Oak(5, 2) = 155 with adicities 2...5 OakDrop(5, 2) = 120 with adicity 5	seal blocks with arity 4 and depth 3 ExOak(4, 3) = 120 with adicities 3...4 ExOakDrop(4, 3) = 112 with adicity 4

OakDrop(5, 3)=ExOak(4, 2)=35 ⋅ 4=140
seals with arity 5 and depth 3 Oak(5, 3) = 155 with adicities 3...5 OakDrop(5, 3) = 140 with adicity 5	seal blocks with arity 4 and depth 2 ExOak(4, 2) = 140 with adicities 2...4 ExOakDrop(4, 2) = 112 with adicity 4

OakDrop(5, 4)=ExOak(4, 1)=15 ⋅ 2=30
seals with arity 5 and depth 4 Oak(5, 4) = 31 with adicities 4...5 OakDrop(5, 4) = 30 with adicity 5	seal blocks with arity 4 and depth 1 ExOak(4, 1) = 30 with adicities 1...4 ExOakDrop(4, 1) = 16 with adicity 4

OakDrop(5, 5)=ExOak(4, 0)=1 ⋅ 1=1
seals with arity 5 and depth 5 Oak(5, 5) = OakDrop(5, 5) = 1 with adicity 5	seal blocks with arity 4 and depth 0 ExOak(4, 0) = 1 with adicity 0 ExOakDrop(4, 0) = 0 with adicity 4

triangles

These are the same triangles as shown in the boxes above. They refer to the seals with arity 5. The main content of each image is a refinement of the shown slice of pyramid Ivy. Each column for a valency is refined into columns for each equivalence class. Shown above them are a slice of pyramid Liana and its refinement. Their entries are the column sums of the triangles below. Triangle OakDrop is still called Maple in these images. depth 1 depth 2 depth 3 depth 4

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• {{Triangle pair Oak}}
• {{Triangle pair ExOak}}
• {{Seal pyramids Liana and Ivy}}
• {{Seal triangles Elm and Lime}}

• {{Seal triangle OakDrop examples/style.css}}