Mental Rotation
Shepard & Metzler (1971) established that we really do 'rotate' images in our heads. Peters 1995's MRT-A redrawn version is the modern standard. Voyer 1995 meta-analysis found d≈0.67 male advantage.
Intermediate: 18 items, 5 min
Look at the target. Among 4 options, select the 2 that can be obtained by rotating the target. Skip the 2 mirror-then-rotated ones. Submit when 2 are selected.
History
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Refs: Shepard & Metzler 1971; Peters 1995; Voyer 1995.
Mental Rotation · scientific basis
Shepard & Metzler 1971 seminal Science paper. Peters 1995 redrawn MRT-A is modern standard. Voyer 1995 meta-analysis found d≈0.67 male advantage.
Expert-mode parameters
These are the standard parameters from the canonical paradigm (used by the "Expert" difficulty).
| Parameter | Standard value | Source |
|---|---|---|
| Trials (Expert) | 24 items | Peters 1995 MRT-A |
| Options per item | 4 (2 correct, 2 mirror) | Peters 1995 |
| Time limit | 6 minutes (2 × 3) | Peters 1995 |
| Strict scoring | Both correct = 1 point | Peters 1995 |
| Our stimuli | Procedural 2D polyominoes (copyright-free) | This project |
Healthy-population norms (by age)
Peters MRT-A strict scoring (0-24, both options must be correct for 1 point). Thresholds derived from Peters 1995, Titze 2010 (German adolescents) and Geiser 2008 mean/SD by age; Excellent = mean + 1 SD. Spatial ability peaks at 18-34 and declines notably with age. Males average 3-4 points higher than females (Voyer 1995 meta d≈0.67); this table is combined-sex. Assessment mode matches the band to your actual age.
| Age band | Correct Excellent | Correct Mean | SD | Evidence |
|---|---|---|---|---|
| 8-9 | ≥ 10 | ~6.5 | 3.5 | moderate |
| 10-11 | ≥ 12.5 | ~8.5 | 4.0 | moderate |
| 12-13 | ≥ 15 | ~10.5 | 4.5 | moderate |
| 14-15 | ≥ 17 | ~12 | 4.8 | moderate-strong |
| 16-17 | ≥ 18 | ~13 | 5.0 | moderate-strong |
| 18-24 | ≥ 18 | ~13.2 | 4.7 | strong |
| 25-34 | ≥ 18 | ~13 | 4.8 | strong |
| 35-44 | ≥ 17 | ~12 | 4.7 | strong |
| 45-54 | ≥ 15 | ~10.5 | 4.8 | moderate-weak |
| 55-64 | ≥ 14 | ~9 | 4.6 | moderate-weak |
| 65+ | ≥ 12 | ~7.5 | 4.5 | weak (extrapolated) |
Standard output metrics
- ·Total correct (strict 0-24) — Primary
- ·Mean RT per item — Speed
- ·RT × angle slope — Rotation rate (adult ~15-20 ms/°)
Citations
- Shepard, R. N., & Metzler, J. (1971). Mental rotation of three-dimensional objects. Science, 171, 701-703. DOI
- Vandenberg, S. G., & Kuse, A. R. (1978). Mental rotations, a group test of three-dimensional spatial visualization. Percept Mot Skills, 47(2), 599-604. DOI
- Peters, M., et al. (1995). A redrawn Vandenberg and Kuse mental rotations test. Brain Cogn, 28(1), 39-58. DOI
- Voyer, D., Voyer, S., & Bryden, M. P. (1995). Magnitude of sex differences in spatial abilities: A meta-analysis. Psychol Bull, 117(2), 250-270. DOI
- Techentin, C., Voyer, D., & Voyer, S. D. (2014). Spatial abilities and aging: A meta-analysis. Exp Aging Res, 40(4), 395-425. DOI
All reference ranges come from published peer-reviewed literature. For personal training reference only — not a medical diagnosis. Full methodology: docs/PARADIGMS.md.
This tool is for educational and entertainment purposes only and does not constitute medical advice or a clinical diagnosis.