How to Sketch a Remembered Puzzle’s Rotating Gravity Across an Infinitely Repeating Map

Sketch the scene in three parts: a map reference, a view of its infinite repetition, and an ordered gravity sequence. Keep the gravity change global, and mark details that remain unspecified.

The drawing task is to preserve two linked game features: gravity rotates across the whole map, and the map repeats infinitely. A useful record must show both the spatial connections and the changes over time. One dramatic sideways view cannot carry that information by itself.

The method below combines coordinate frames, repeated-space diagrams and state sequences into a paper drawing workflow. These are visual-recording tools drawn from the sources cited beside them; the sources describe their own mathematical or graphics concepts, not this remembered scene.

Establish What the Drawing Must Preserve

Begin with a short statement above the sketch: “Gravity rotates across the entire infinitely repeating map.” This anchors the drawing before perspective, texture or composition makes one local area dominate.

Then separate established features from details you still need to record. The supplied scene establishes global gravity rotation and infinite map repetition. It does not specify a room arrangement, a repeating unit’s shape, the number of turns, their angles, their direction or the appearance of individual objects. Let those details remain open unless they are actually remembered.

Use a small working legend. For example, a solid line can mean a remembered contour, a broken line an uncertain contour, and a written note an unseen continuation. These are illustrative drawing conventions. Define them on the sheet so a broken line does not accidentally read as a passage or a material boundary.

Record relationships before polishing outlines. Which visible edges meet? Which shapes remain attached? Which features recur? Which direction counts as down at each remembered moment? When exact proportions are unavailable, a clear relationship is more useful than a precise-looking invented measurement.

Keep Map Direction Separate From Page Direction

Give the map a stable reference orientation. Add a small pair of axes outside the drawing, labeled “map reference,” and keep them consistent across the sequence. Separately label the top of the sheet “page top.” Neither label needs to correspond to a permanent up direction inside the game.

This distinction has a useful graphics precedent. The W3C’s SVG specification distinguishes the drawing viewport from the coordinate system used to position content, and describes transformations between coordinate systems. For a hand sketch, the practical adaptation is to track the map’s orientation separately from how it appears inside the picture. Coordinate Systems, Transformations and Units — SVG 2 (https://www.w3.org/TR/SVG/coords.html)

Place a prominent arrow outside each map panel labeled “gravity throughout map.” If smaller arrows help, repeat them at widely separated locations. For a state remembered as having one common gravity direction, these arrows should agree. Their repetition communicates the global rule without requiring a detailed drawing of every region.

A curved arrow needs a different label: “gravity turns” or “view turns,” according to what is remembered. An unlabeled curved arrow leaves the reader guessing whether the force, the map geometry or the viewpoint changes.

As an illustrative example, a gravity arrow might point toward page bottom in one panel and page left in the next while the map reference remains fixed. This demonstrates a notation for a global direction change; it does not establish a quarter-turn, a sideways destination or a particular order for the remembered puzzle.

If the view also rotates, show that on a separate line beneath the panel. If its behavior is unclear, write “view change unspecified.” Keep the known gravity rotation visible without supplying an unremembered camera movement.

Show Infinite Repetition Without Inventing a World Layout

A finite sheet can represent endless continuation through a repeat rule. The essential question is what the repetition connects: recognizable copies extending beyond the view, a region that reconnects to itself, or a repeating space whose exact connections remain unspecified.

A developer’s explanation of Topological Asteroids offers a relevant visual distinction: a connected game space can be represented by a single region with joined edges or by an infinite array of tiles. This supports using a compact connection diagram alongside an expanded repeat view when those connections are known. It does not establish the topology of this puzzle. Topological Asteroids (https://adam-rumpf.github.io/games/topological_asteroids.html)

Draw the remembered area first. Add neighboring repetitions only where the repeated relationship is known. Keep recognizable features in the same relative positions within each copy. Do not extend a passage, add a room or complete a perimeter merely to make the drawing resemble a finished level.

As an illustrative presentation choice, a central region surrounded by partial copies can communicate repetition. The central region is a reference copy, not the center of the infinite world. Label the sheet’s outer boundary “drawing crop; repetition continues” so the page edge does not become an apparent map edge.

If the repeating unit’s boundary is unknown, avoid enclosing it in a confident rectangle. Show the known recurrence and annotate “repeat boundary unspecified.” A rectangular panel may still frame the drawing, provided it is clearly a viewing window.

Add Edge Connections Only When They Are Remembered

If crossing one edge leads to a known corresponding edge, mark that pair with matching labels. Small direction marks can show whether the orientation continues unchanged. Use these marks as connection notation, keeping them visually separate from gravity arrows.

Golly’s official documentation illustrates why the details matter: ordinary opposite-edge connections, shifted connections and reversed connections describe different spaces. Matching edges therefore record more information than simply writing “wraps around.” Golly Help: Bounded Grids (https://golly.sourceforge.io/Help/bounded.html)

Use the term “torus” only if the remembered connections support that description. Infinite repetition alone does not tell you how every boundary connects. Where the memory supplies repetition but no specific edge crossing, preserve that distinction in words and leave the connection diagram incomplete.

Draw the Gravity Change as an Ordered Sequence

Make one panel for each distinct remembered state, using the same scale and reference orientation where possible. Carry the repeated-map notation into every panel. Otherwise, the sequence may show gravity rotating while quietly dropping the infinite topology.

The useful principle is to separate states from transitions. Microsoft’s Windows Animation documentation describes a transition as the way a variable changes over an interval and distinguishes instantaneous changes from changes that unfold over time. Adapt that distinction to the sketch: knowing the direction before and after a turn does not establish how the turn looked between them. Storyboard Overview (https://learn.microsoft.com/en-us/windows/win32/uianimation/storyboard-construction)

Build the sequence in this order:

1. Draw the earliest remembered map state and its global gravity direction.

2. Add the next remembered state, retaining the same reference landmarks.

3. Label the transition with any remembered turn direction, angle or visible intermediate orientation.

4. Record changes in position or contact only where they are remembered.

5. Continue through the final remembered state, leaving gaps explicitly marked.

A midpoint panel belongs in the sequence only when it records something known. If the endpoints are clear but the intervening motion is not, connect them with “transition appearance unspecified.” Do not draw a smooth arc simply because it makes an attractive explanation.

Number the panels in remembered order. Panel numbers show sequence, not equal durations. Write “duration unspecified” where needed, and label any deliberate spacing choice as a drawing convention.

Keep spatial repetition and temporal repetition distinct. An infinitely repeating map does not by itself establish that the gravity changes loop forever. Add a return arrow from the last panel to the first only if that recurrence is remembered.

Preserve Geometry and Material Relationships Through the Turn

Use stable labels for recognizable features across panels. For example, “A” and “B” can identify two remembered shapes without assigning them new functions or material types. Repeat those labels wherever the same features appear.

Check whether an apparent shape change comes from the viewpoint. A narrow shape becoming broad on the page may reflect a changed view; it does not establish that the object itself stretches. When uncertain, keep the simpler reference drawing and annotate the appearance separately.

For any remembered contact, show which edges touch in each state. Distinguish a fixed attachment from a temporary contact if that distinction is known. A change in gravity direction should not silently turn an attached feature into a loose one, or move a feature whose movement was never recalled.

Use texture only to preserve remembered material differences. An illustrative hatch pattern can distinguish two surfaces, but label it as notation unless the texture itself belongs to the scene. Keep shading subordinate to the outlines, contacts and direction marks that explain the puzzle.

Separate force arrows from movement paths. A gravity arrow records direction; a path records where something traveled. If movement is remembered, draw and label its path independently. If only the gravity change is known, the global arrow is sufficient.

Assemble a Sheet That Can Be Read Without Explanation

Arrange the finished record so the reader encounters the stable geometry, then the repeat connections, then the changing gravity states. A simple numbered sequence can share the page with a small reference map and a notation key. This arrangement is a proposed drawing method, not a claim about the puzzle’s original interface.

Before finishing, read the sheet using these questions:

• Does every state show that gravity applies across the whole map?

• Is infinite continuation clear beyond the drawing crop?

• Are repeated copies distinguishable from successive moments?

• Do connection labels preserve every known edge relationship?

• Are viewpoint changes separate from gravity changes?

• Does the sequence include every remembered turn without adding a cycle?

• Are illustrative choices and unspecified details clearly labeled?

Resolve ambiguity with a short annotation before adding more scenery. “Same feature in neighboring repeat” may communicate a relationship more faithfully than drawing another elaborate region. “Intermediate direction unspecified” preserves a gap without breaking the sequence.

The finished sketch should let another reader trace the map’s repetition and follow each remembered global gravity change. Stable reference marks, explicit connections and ordered panels give those features a readable form while keeping the unremembered parts open.

Sources

• Coordinate Systems, Transformations and Units — SVG 2 (https://www.w3.org/TR/SVG/coords.html)

• Topological Asteroids — Adam Rumpf (https://adam-rumpf.github.io/games/topological_asteroids.html)

• Golly Help: Bounded Grids (https://golly.sourceforge.io/Help/bounded.html)

• Storyboard Overview — Microsoft Learn (https://learn.microsoft.com/en-us/windows/win32/uianimation/storyboard-construction)