3d 5 Level Hex-Prism variants

It occurred to me that one generic way to extend hex variants to 3d is putting pieces that would be similarly blocked by the front rank - or protective of each other if not blocked - on each level. Plainly it would not do to just have several levels the same as all the pieces without an orthogonal move - or with only a forward one - would be confined to their own level. Then I saw that levels could be arranged in a sort of Rook-Bishop-Queen-Bishop-Rook pattern, echoing FIDE Chess along the extra dimension. Thus the top and bottom levels would have the pieces from the 2d variants - save for replacing any royally-restricted piece with its capturable counterpart. The next two in would have the corresponding pieces moving one level for each coprime step or leap of its move. The middle level would have the compounds of the two, but with the royal restriction restored to the relevant piece, echoing the position of King as well as Queen in FIDE Chess.

The same logic can be applied to pieces from other boards such as the 9x9 Compact Hex Chess and Hourglass Hex Chess boards, which would give sizes of 305 and 325 respectively. I see the dimensions specified in the index to this page, however, as as the mainstream of the idea.

Setup

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Each camp of the Wellisch-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the Glinski-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the McCooey-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the HRC Wellisch-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the HRC Revergent-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the HRC McCooey-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the Liu Yang-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the simplified-Haynie's-derived variant is as follows:

top and bottom levels

even levels

middle level

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Each camp of the Hexenspiel-derived variant is as follows:

top and bottom levels

even levels

middle level

Pieces

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Symmetric pieces are defined the same way on both Glinski-level and Wellisch-level orientations.

	Pieces starting on the top and bottom levels that can move either within a level or up or down a column and are unbound:		Pieces starting on the same columns but the even levels, all able to move only between levels and unbound but some switching between odd and even levels:		Pieces starting on the same columns but the middle levels are the compounds of the original piece and the even-level one and are unbound:
	The DUCHESS moves any distance through empty intermediate cells along any of the 8 orthogonals and 6 hex diagonals.		The PONTIFF moves any distance through empty intermediate cells along any of the 12 standard, and 12 hybrid, diagonals.		WORLDRIDER
	The COHEN differs from the Queen in that it turns 60° at each intermediate cell, either left or right but never both within the same move. When moving up or down it can move only one step.		The LANDLSEXTUPLET differs from the Pontiff in that it turns 41° between standard, or 51° between hybrid, diagolnals at each intermediate cell, either left or right but never both within the same move, and spiralling up or down..		CHAFCOHEN
	The VICEREINE moves any distance through empty intermediate cells along any of the 8 orthogonals, or one step along any of the 6 xz`1hex diagonals.		The DRUID moves any distance through empty intermediate cells along any of the 12 standard, or one step along any of the 12 hybrid, diagonals.		WORLDQUEEN
	The BESIEGER moves any distance through empty intermediate cells along any of the 6 hex diagonals, or one step along any of the 8 orthogonals.		The CONGRESSMAN moves any distance through empty intermediate cells along any of the 12 hybrid, or one step along any of the 12 standard, diagonals.		WORLDTRICORN
	The ROOK moves any distance through empty intermediate cells along any of the 8 orthogonals.		The BISHOP moves any distance through empty intermediate cells along any of the 12 standard diagonals.		QUEEN
	The FINCH differs from the Rook in that it turns 60° at each intermediate cell, either left or right but never both within the same move. When moving up or down it can move only one step.		The BOYSEXTUPLET differs from the Bishop in that it turns 41° at each intermediate cell, either left or right but never both within the same move, and spiralling up or down.		CHAFFINCH
	The CANNON differs from the Rook in that when capturing it must pass through exactly one occupied cell.		The ARROW differs from the Bishop in that when capturing it must pass through exactly one occupied cell.		TANK
	The DUKE moves one step along any of the 8 orthogonals and 6 hex diagonals. It is the capturable version of the Grandduke which is the original piece.		The LANDLORD moves one step along any of the 12 standard, and 12 hybrid, diagonals and is levelswitching.		WORLDRULER
	The WAZIR moves one step along any of the 8 orthogonals. It is the capturable version of the General which is the original piece.		The FERZ moves one step along any of the 12 standard diagonals and is levelswitching.		KING or PRINCE

	The SENNIGHT makes any root-7 leap within its level and is bound to all of that level.		The HEFFALUMP makes any 1:root-7 leap and is unbound and levelswitching.		SHERIFF
	The UNICORN moves any distance through empty intermediate cells along any of the 6 hex diagonals, and is bound to a third of its level.		The DICORN moves any distance through empty intermediate cells along any of the 12 hybrid diagonals, and is bound to a third of all levels.		TRICORN
	The RABBI differs from the Unicorn in that it turns 60° at each intermediate cell, either left or right but never both within the same move.		The RUMBASEXTUPLET differs from the Dicorn in that it turns 51° at each intermediate cell, either left or right but never both within the same move, and spiralling up or down.		CHAFRABBI
	The SLING differs from the Unicorn in that when capturing it must pass through exactly one occupied cell.		The SWORD differs from the Dicorn in that when capturing it must pass through exactly one occupied cell.		SLINGLINE
	The VICEROY moves one step along any of the 6 hex diagonals, and is bound to a third of its level.		The RUMBABA moves one step along any of the 6 hex diagonals, and is bound to a third of all levels.		BELLMAN

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Part-symmetric and forward-only pieces are generally differently defined on the two orientations, or apply only on one.

Starting on the top and bottom levels and moving either within a level or up or down a column and are unbound is the SUPERBRASSGENERAL moves one step along any of the 8 orthogonals and 3 forward hex diagonals.

Starting on the same columns but the even levels and moving only between levels and unbound but switching between odd and even levels is the SUPERPEARLGENERAL moves one step along any of the 12 standard, and 6 forward hybrid, diagonals. Starting on the same columns but the middle levels is their compound the SUPERPRINCGENERAL.

Pieces starting on the top and bottom levels that can move only within a level and are bound to all or part of that level: move descriptions are shoewn in green if specific to Glinski-level boards and in red if specific to Wellisch-level ones.

	Pieces starting on the top and bottom levels that can move only within a level:		Pieces starting on the same columns but the even levels:		Pieces starting on the same columns but the middle levels are the compounds of the original piece and the even-level one:
	The AZUREGENERAL moves one step along any of the 6 hex diagonals and 1 straight forward orthogonal or 2 forward orthogonals.		The RUBYGENERAL moves one step along any of the 12 hybrid, and 2 straight forward or 4 forward standard, diagonals.		BELLMGENERAL
	The WING moves any distance through empty intermediate cells, and the POINT one step, along the 1 straight forward orthogonal or 2 forward orthogonals.		The MITRE moves any distance through empty intermediate cells, and the CROSS one step, along the 2 straight forward or 4 forward standard diagonals.		PRINCESS, PRINCELING
	The HORN moves any distance through empty intermediate cells, and the SALTIRE one step, along the 2 forward hex diagonals or 1 straight forward hex diagonal.		The DILEMMA moves any distance through empty intermediate cells, and the RUMCHICK one step, along the 4 forward or 2 straight forward hybrid diagonals		TRILEMMA, BELLBOY
	The SUPERSENHELM makes any of the 4 forwardmost Sennight leaps.		The SUPERRUMTUSK makes any of the 8 forwardmost Heffalump leaps.		SUPERRUSHOFF
	The SENHELM makes either of the 2 forwardmost Sennight leaps.		The RUMTUSK makes either of the 4 forwardmost Heffalump leaps.		RUSHOFF
	The BROKER moves as a Point except when capturing, which it does as a Saltire.		The WIELDER moves as a Point except when capturing, which it does as a Saltire.		BROKERWIELDER.

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Three Horn Rimmed pieces are specific to the Wellisch orientation.

	Starting on the top and bottom levels is the SUPERSALTIRE moving one step along any of the 1 straight forward, and 2 half-forward, hex diagonals.
	Starting on the even levels is the SUPERRUMCHICK moving one step along any of the 2 straight forward, and 4 half-forward, hybrid diagonals.
	Starting on the middle level is their compound the SUPERBELLBOY.

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AltOrth pieces are specific to the Glinski orientation.

	Starting on the top and bottom levels is the MIGRANT moving as a Point except when it captures, which it does as a Pointreservist.
	Starting on the even levels is the MIGRANT CROSS moving as a Cross except when it captures, which it does as a Crossreservist.
	Starting on the middle level is their compound the MIGRANT PRINCELING.

Rules

Pieces starting on the top and bottom levels are promotable to the same pieces as in 2d, and pieces starting on intermediate ranks are promotable to the corresponding pieces. For example, in 3d Hex Shogi a Rook is still promoted to a Vicereine, a Bishop to a Pontiff, and a Queen to a Worldqueen.

Thus works in reverse with pieces captured and reintroduced. Thus in 3d Horn Rimmed Hex a Rook returns as a Wing, a Bishop as a Mitre, and a Queen as a Princess.

Any double-step move applying to 2d still applies, and is extrapolated to other levels. Thus McCooey's optional double-step noncapturing initial move for Brokers also applies to Wielders and Brokerwielders.

Liu Yang's Grandduke swap becomes a Worldruler Swap in 3d, with no special powers for the capturable Duke and Landlord.

Notes