Johnson near misses and near-near misses — sources and realizations 52 documented models: all 31 entries in Jim McNeill's numbered near-miss list, 14 further near misses, and 7 wider near-near misses. Primary mathematical data and descriptions: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/nearmiss.htm Jim McNeill's HEDRON models, with individual discoveries credited below. Several source files were exported by Robert Webb's Stella software. The original files and their full notices are retained, unchanged, in this private site's source repository under data/near-misses/. NM1–NM31 follow McNeill's ordering. Subsequent NM/NNM codes belong only to this explorer. There is no universally accepted boundary between near misses and near-near misses and no claim of an exhaustive class. The wider group collects documented far-miss / rejected candidates and examples with larger edge deviations. It is a browsing convention. Eight source realizations contain warped polygons. For these, the offline importer enforces the original polygon coplanarity constraints, then reduces relative regular-polygon chord errors while retaining those planarity constraints. It keeps the original vertex/face incidence. All displayed meshes pass convex supporting-plane and closed-incidence checks. Maximum source adjustments are disclosed per model. The local numerical optimization makes no claim of a global optimum. Source E/P/A values are NOT presented as measurements of a modified realization. The edge ratio is longest / shortest boundary edge. Face-angle errors compare each actual polygon corner with 180(n-2)/n degrees for an n-gon. Largest error is a maximum; total error is the sum of absolute errors. These quantities are scale-independent and computed from the displayed mesh. Neither edge ratio alone nor aggregate angular error alone is a complete measure of regularity. Face labels distinguish regular polygons from irregular n-gons (including irregular triangles and quadrilaterals). Reproduce with: OPENBLAS_NUM_THREADS=1 python scripts/generate-near-misses.py NumPy and SciPy are offline dependencies; the deployed viewer uses no external geometry requests or runtime packages. Original export notices (preserved; not a new licence grant): HEDRON --- Polyhedron Generator; Copyright Jim McNeill, 1999 onwards. # Copyright (C) Robert Webb, 2001-2008. # This copyright notice and the above # information must be kept intact. Catalogue and individual sources: NM1: Augmented Pentagonal Prism Credited discovery / realization: Alex Doskey Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/ad_augp5.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM2: Myers 3 Credited discovery / realization: Bill Myers Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/myers_3.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM3: Bi-augmented J49 Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/j49aug.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM4: Trisquare Hexadecatrihedron Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/cubicos.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM5: J91-like Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/RK_J91E.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM6: 5-5-4 Acrohedron Credited discovery / realization: Melinda Green Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/554dg.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0.01974468091 NM7: Wedge 4-5 Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedge-4-5.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM8: J85 Pentagonal Prism Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/j85_pp.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM9: Hexawedge Credited discovery / realization: Mick Ayrton Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/hexawedge.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM10: J85 Altered Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/j85-rk1-w3.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM11: Myers 2s Credited discovery / realization: Bill Myers Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/myers_2s.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM12: 4-5-6 Acrohedron Credited discovery / realization: Alex Doskey Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/ad456.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0.008034617014 NM13: 6-5-5 b05 Credited discovery / realization: Robert Webb Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/655b05.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM14: Hexagonal square barrel Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/sqbarrel6.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0.01569385165 NM15: 6-5-5 b05ex Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/655b05ex.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM16: J85 Altered 2 Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/j85-rk2-w3.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM17: 5-4-3 nm Credited discovery / realization: Robert Webb and Alex Doskey Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/RW5343nm.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM18: J26 Augmented Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/j26aug.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM19: Myers 6 Credited discovery / realization: Bill Myers Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/myers_6.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM20: X2 Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/RK-X2.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM21: UM1 Credited discovery / realization: Ulrich Mikloweit Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/UM1.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM22: Fullerene c28 Credited discovery / realization: Robert Austin and Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/c28w5.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0.0795905261 NM23: 5-5-4 Acrohedron Tetra-augmented Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/554dg_aug4.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM24: Myers 4 Credited discovery / realization: Bill Myers Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/myers_4.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM25: Quasi Gyro J90 Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/qgj90.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM26: 5-5-4 Acrohedron Bi-augmented Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/554dg_aug2.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM27: UM2 Credited discovery / realization: Ulrich Mikloweit Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/UM2.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM28: Myers 7 Credited discovery / realization: Bill Myers Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/myers_7.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM29: A56 Credited discovery / realization: Ulrich Mikloweit Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/UM_A56.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM30: Saucer Credited discovery / realization: Mick Ayrton Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/MA-saucer.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM31: J90 Truncated Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/j90_trunc.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM32: Triaugmented pentagonal prism near miss Credited discovery / realization: Alex Doskey Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/ad_augp5_aug.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM33: Square–pentagon wedge, top augmented Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedge-4-5-sqaug.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM34: Square–pentagon wedge, side augmented Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedge-4-5-sqaug2.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NM35: Pentagonal square barrel Credited discovery / realization: Jim McNeill; Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/sqbarrel5.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0.05669939776 NNM1: Mikloweit’s 2025 near-miss candidate Credited discovery / realization: Ulrich Mikloweit Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/UM56W3.off Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm Maximum vertex adjustment / mean source edge: 0 NNM2: Associahedron Credited discovery / realization: Dov Tamari; Jim Stasheff; realization by Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/associahedron.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/554.htm Maximum vertex adjustment / mean source edge: 0.06129068446 NNM3: 6-5-3 acrohedron Credited discovery / realization: Roger Kaufman Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/RK653nm.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/653-655.htm Maximum vertex adjustment / mean source edge: 0 NM36: 6-5-5 acrohedron, Webb’s first form Credited discovery / realization: Robert Webb Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/RW655_1.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/653-655.htm Maximum vertex adjustment / mean source edge: 0 NM37: Enneagonal-faced polyhedron Credited discovery / realization: Craig S. Kaplan; George W. Hart Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/enneagc.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/enneagonal.htm Maximum vertex adjustment / mean source edge: 0 NNM4: 9-3-5-3 acrohedron Credited discovery / realization: Robert Webb Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/9353.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/enneagonal.htm Maximum vertex adjustment / mean source edge: 0 NM38: Hendecagonal-faced polyhedron Credited discovery / realization: Craig S. Kaplan; realization by Alex Doskey / Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/hendec.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/enneagonal.htm Maximum vertex adjustment / mean source edge: 0.03122714236 NM39: Dodecagonal-faced 12-5-4 polyhedron Credited discovery / realization: Alex Doskey Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/t54.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/dodecagonal.htm Maximum vertex adjustment / mean source edge: 0.06870412598 NM40: Tetrated dodecahedron Credited discovery / realization: Alex Doskey; Robert Austin Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/tetrated%20dodecahedron.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Maximum vertex adjustment / mean source edge: 0 NM41: Tetrahedrally expanded tetrated dodecahedron Credited discovery / realization: Tadeusz E. Dorozinski; realization by Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/QTT4H3_w4.off Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Maximum vertex adjustment / mean source edge: 0 NM42: Snub expanded tetrated dodecahedron Credited discovery / realization: Mick Ayrton Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/snub-exp%20tet%20dodecahedron.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Maximum vertex adjustment / mean source edge: 0 NM43: Curvy octahedroid Credited discovery / realization: Mick Ayrton Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/curvy%20octahedroid.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Maximum vertex adjustment / mean source edge: 0 NM44: Bipentagonal snub dodecahedron Credited discovery / realization: Mick Ayrton Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/bipentagonal%20snub%20dodecahedron.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Maximum vertex adjustment / mean source edge: 0 NM45: Hexagonally expanded snub dodecahedron Credited discovery / realization: Mason Green Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/pyrito_nearmiss.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Maximum vertex adjustment / mean source edge: 0 NNM5: Pentagon–hexagon wedge Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedge-5-6.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedges.html Maximum vertex adjustment / mean source edge: 0 NNM6: Hexagon–heptagon wedge Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedge-6-7.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedges.html Maximum vertex adjustment / mean source edge: 0 NNM7: Heptagon–octagon wedge Credited discovery / realization: Jim McNeill Source model: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedge-7-8.wrl Source page: https://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/wedges.html Maximum vertex adjustment / mean source edge: 0