89 lines
3.9 KiB
Markdown
89 lines
3.9 KiB
Markdown
# Hako Dice
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A printable set of dice for **Hako**, the two-player dice game documented at
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[wiki.xxiivv.com/site/hako.html](https://wiki.xxiivv.com/site/hako.html).
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Each Hako die is a cube whose six faces are each split by their two diagonals
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into four triangles, painted in two contrasting colors. A complete die carries
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all six distinct triangle patterns, named after the time of day by how many of
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the four triangles are painted:
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| Face | Painted triangles |
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|------|-------------------|
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| **day** | 0 — the bright face |
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| **dusk** | 1 |
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| **half (split)** | 2, adjacent pair |
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| **half (cross)** | 2, opposite pair |
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| **dawn** | 3 |
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| **night** | 4 — the dark face |
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A player owns four identical dice. Since they're all the same, this model
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renders a single die by default — raise `dice_count` to batch-print a whole
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set, and print two sets in different accent colors for a full game.
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## Fair rolling (balance)
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A die only rolls fairly if its center of mass sits at its geometric center.
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Marking the faces unevenly biases the roll, so two measures keep these dice
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fair:
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1. **Opposite faces are balanced by painted-triangle count.** The two
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2-triangle faces sit opposite each other (0 difference), `day` (0) opposes
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`dusk` (1), and `dawn` (3) opposes `night` (4) — no axis differs by more
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than a single triangle of shallow material.
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2. **The triangles are a separate part seated in the face pockets.** In plain
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mode they sit flush, so a second material of similar density restores the
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removed mass and the die stays balanced. In recess mode they sit below the
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surface; prefer a shallow `recess_depth` (or plain mode) for the fairest
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single-material dice.
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When the Sonozai cord hole is enabled, `day` and `night` move opposite each
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other so the cord can pass straight through. The centered hole is symmetric and
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does not itself unbalance the die.
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## Printing in two colors
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The body and the triangle markings are emitted as separate parts so you can
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assign each its own filament:
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```sh
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# Primary (die body)
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openscad -o hako-bodies.stl -D 'render_part="bodies"' hako-dice.scad
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# Accent (triangle fill, flush)
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openscad -o hako-markings.stl -D 'render_part="markings"' hako-dice.scad
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```
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Load both STLs into your slicer and assign a filament to each, or print
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`bodies` alone and paint the triangles by hand. The default
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`render_part = "preview"` shows both parts together for the customizer.
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In **recess mode** (`recessed_triangles = true`, the default) the triangles are
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sunk `recess_depth` below the face — a visible, tactile recess (also handy for
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low-light or accessible play). In **plain mode** (`recessed_triangles = false`)
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the faces stay flat and the colored polygons sit flush, distinguished by color
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only.
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## Parameters
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| Parameter | Default | Description |
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|-----------|---------|-------------|
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| `die_size` | 16 mm | Edge length of each die |
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| `corner_radius` | 1.6 mm | Edge/corner rounding |
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| `dice_count` | 1 | Dice to lay out (all identical; 4 = one player's set) |
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| `columns` | 4 | Dice per row when laying out more than one |
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| `recessed_triangles` | true | Sink the triangles below the face; `false` = flat faces with flush color polygons |
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| `recess_depth` | 1.2 mm | How far below the surface the colored triangle sits (recess mode) |
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| `marking_thickness` | 0.5 mm | Thickness of the colored triangle layer |
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| `triangle_margin` | 1.0 mm | Inset of the pattern from the face edge |
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| `triangle_gap` | 0.7 mm | Gap between triangles and around the pattern |
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| `sonozai_hole` | false | Bore a centered cord hole through the day & night faces |
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| `sonozai_diameter` | 3 mm | Cord hole diameter |
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| `render_part` | `"preview"` | `preview` \| `bodies` \| `markings` |
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## Triangle index convention
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Per face, the four triangles are numbered `0 = N` (top), `1 = E` (right),
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`2 = S` (bottom), `3 = W` (left) — each the triangle between one face edge and
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the face center.
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