Field = f(x)\color{magenta}f(\mathbf x) Delta = d(kf(x))\color{magenta}d(\color{magenta}{k \ast f}(\mathbf x))
Neighbor sum = kf(x)\color{magenta}{k \ast f}(\mathbf x) Kernel = k(u)\color{magenta}k(\mathbf u)

Selected soliton
O2 Orbium unicaudatus 球虫 (單尾)
Unimodal kernel [1]
           

Params:
  μ\color{blue}\mu = 0.15   R\color{blue}R = 13 cells per kernel radius Field: 128² cells, each pixels
  σ\color{blue}\sigma = 0.017   T\color{blue}T = 10 steps per unit time CPU: fps
      ± 0.001
  β\color{blue}{\beta} =
  η\color{blue}{\eta} =
Δt\color{blue}{\Delta t} = 0.100 μs\mu s
tt = 0.500 μs\mu s
Calc stats:   Period: μs\mu s
+0.449
Mass (log scale)
m=f(x)/R2[μg]\color{black}m = \sum f(\mathbf x) / R^2 \quad [\mu g]

Run:    
Preset:          
Field:          
Space
Pixel
Soliton:             Options:
  • class: Exokernel 外核綱
    • order: Orbiformes 球形目
      • family: O Orbidae 球形科
        • subfamily: Haplorbinae 單球亞科
          • O2 Orbium unicaudatus 球虫(單尾) [1]
          • −− O. unicaudatus ignis ~(單尾焰) [1]
          • −− O. bicaudatus ~(雙尾) [1]
          • −− O. bicaudatus ignis ~(雙尾焰) [1]
          • OG2 Gyrorbium 旋球虫 [1]
          • OV2? Vagorbium(?) 遊球虫 [1]
        • subfamily: Polyorbinae 多球亞科
          • O3 Synorbium 連球虫 [1]
          • O4 Parorbium dividuus 並球虫(分) [1]
          • −− P. dividuus pedes ~(分步) [1]
          • −− P. adhaerens ~(黏) [1]
          • O6? Triorbium(?) 三球虫 [1]
    • order: Scutiformes 盾形目
      • family: S Scutidae 盾形科
        • subfamily: Haploscutinae 單盾亞科
          • S1 Scutium solidus 盾虫(實) [1]
          • −− S. gravidus ~(重) [1]
          • −− S. valvatus ~(閥) [1]
          • 2S1 S. serratus fluens 鋸盾虫(流) [2]
          • −−− S. serratus vagus ~(遊) [2]
          • −−− S. serratus saliens ~(躍) [2]
          • −−− S. serratus solidus ~(實) [2]
          • −−− S. serratus fluens ~(流) [3]
          • −−− S. serratus fluens ~(流) [4]
        • subfamily: Megaloscutinae 巨盾亞科
          • S2 Discutium solidus 乙盾虫(實) [1]
          • −− D. valvatus ~(閥) [1]
          • 2S2 D. serratus 乙鋸盾虫 [2]
          • −−− D. serratus ~ [3]
          • S3 Triscutium solidus 丙盾虫(實) [1]
          • −− T. valvatus centrale ~(中閥) [1]
          • −− T. valvatus laterale ~(邊閥) [1]
          • 2S3 T. serratus valvatus centrale 丙鋸盾虫(中閥) [2]
          • −−− T. serratus valvatus laterale ~(邊閥) [2]
          • S4 Tetrascutium solidus 丁盾虫(實) [1]
          • −− T. valvatus ~(閥) [1]
          • S5 Pentascutium solidus 戊盾虫(實) [1]
          • −− P. valvatus ~(閥) [1]
          • −− P. gravidus ~(重) [1]
          • S6 Hexascutium 己盾虫 [1]
          • S7 Heptascutium 庚盾虫 [1]
          • S8 Octascutium 辛盾虫 [1]
          • −− O. obliquus ~(斜) [1]
          • S9 Nonascutium 壬盾虫 [1]
          • S10 Decascutium 癸盾虫 [1]
          • S12 Dodecascutium 十二盾虫 [1]
          • S14 Tetradecascutium 十四盾虫 [1]
          • S24 Tetracosascutium 二十四盾虫 [1]
        • subfamily: Catenoscutinae 鏈盾亞科
          • SN+ Catenoscutium bidirectus 鏈盾虫(雙向) [1]
      • family: P Pterifera 有翼科
        • subfamily: Haplopterinae 單翼亞科
          • PG1 Gyropteron arcus 旋翼虫(鼓) [1]
          • −−− G. cavus ~(屈) [1]
          • 2PG1 G. serratus velox 旋鋸翼虫(迅) [2]
          • −−−− G. serratus turbulentus ~(湍) [2]
          • −−−− G. serratus velox ~(迅) [3]
          • −−−− G. serratus velox ~(迅) [4]
          • PV1 Vagopteron 遊翼虫 [1]
        • subfamily: Diplopterinae 雙翼亞科
          • P3 Synptera cavus saliens 連翼虫(屈躍) [1]
          • −− S. cavus pedes ~(屈步) [1]
          • −− S. sinus pedes ~(曲步) [1]
          • PS3 Pyroscutium arcus pedes 炎盾虫(鼓步) [1]
          • −−− P. ambiguus 幻盾虫 [1]
          • 2P3 Synptera serratus arcus pedes 連鋸翼虫(鼓步) [2]
          • −−− S. serratus cavus labens ~(屈翔) [2]
          • −−− S. serratus cavus saliens ~(屈躍) [2]
          • −−− S. serratus sinus labens ~(曲翔) [2]
          • 3P3 S. serratus sinus pedes ~(曲步) [3]
          • 2PS3 Pyroscutium ambiguus serratus 幻鋸盾虫 [3]
        • subfamily: Vacuopterinae 胞翼亞科
          • P4 Paraptera arcus labens 並翼虫(鼓翔) [1]
          • −− P. arcus saliens ~(鼓躍) [1]
          • −− P. arcus saliens ignis ~(鼓躍焰) [1]
          • −− P. arcus pedes ~(鼓步) [1]
          • −− P. cavus labens ~(屈翔) [1]
          • −− P. cavus salien ~(屈躍) [1]
          • −− P. cavus pedes ~(屈步) [1]
          • −− P. cavus furiosus ~(屈狂) [1]
          • −− P. orbis pedes ~(球步) [1]
          • −− P. orbis furiosus ~(球狂) [1]
          • −− P. sinus labens ~(曲翔) [1]
          • −− P. sinus pedes ~(曲步) [1]
          • −− P. ambiguus ~(幻) [1]
          • 2P4 P. serratus arcus saliens 並鋸翼虫(鼓躍) [2]
          • P5 Pentapteryx arcus labens 戊翼虫(鼓翔) [1]
          • −− P. arcus saliens ~(鼓躍) [1]
          • −− P. arcus pedes ~(鼓步) [1]
          • −− P. cavus labens ~(屈翔) [1]
          • −− P. cavus saliens ~(屈躍) [1]
          • −− P. cavus pedes ~(屈步) [1]
          • −− P. cavus furiosus ~(屈狂) [1]
          • −− P. arcus valvatus ~(鼓閥) [1]
          • 2P5 P. serratus cavus labens 戊鋸翼虫(屈翔) [2]
          • P6 Hexapteryx arcus labens 己翼虫(鼓翔) [1]
          • −− H. cavus labens ~(屈翔) [1]
          • 2P6 H. serratus cavus labens 己鋸翼虫(屈翔) [2]
          • P7 Heptapteryx arcus labens 庚翼虫(鼓翔) [1]
          • −− H. cavus labens ~(屈翔) [1]
          • −− H. cavus labens cunctans ~(屈翔疑) [1]
          • 2P7 H. serratus cavus labens 庚鋸翼虫(屈翔) [2]
          • −−− H. serratus liquefaciens ~(熔) [3]
          • P8 Octapteryx arcus labens 辛翼虫(鼓翔) [1]
          • −− O. cavus labens ~(屈翔) [1]
          • 2P8 O. serratus cavus labens 辛鋸翼虫(屈翔) [2]
          • P9 Nonapteryx arcus labens 壬翼虫(鼓翔) [1]
          • −− N. cavus labens ~(屈翔) [1]
          • 2P9 N. serratus cavus labens 壬鋸翼虫(屈翔) [2]
          • −−− N. serratus sinus labens ~(曲翔) [2]
          • P10 Decapteryx arcus labens 癸翼虫(鼓翔) [1]
          • −−− D. cavus labens ~(屈翔) [1]
          • 2P10 D. serratus sinus labens 癸鋸翼虫(曲翔) [2]
          • P13 Tridecapteryx arcus valvatus 十三翼虫(鼓閥) [1]
          • P24 Tetracosapteryx arcus labens 二十四翼虫(鼓翔) [1]
          • −−− T. cavus labens ~(屈翔) [1]
        • subfamily: Caudopterinae 尾翼亞科
          • P6,4 Hexacaudopteryx 己尾翼虫 [1]
          • P6,3s H. serratus cavus labens 己尾鋸翼虫(屈翔) [2]
          • P8,3s Octacaudopteryx serratus cavus labens 辛尾鋸翼虫(屈翔) [2]
          • P10,3s Decacaudopteryx serratus sinus labens 癸尾鋸翼虫(曲翔) [2]
        • subfamily: Catenopterinae 鏈翼亞科
          • PN+ Catenopteryx cyclon 鏈翼虫(環) [1]
          • −−− C. cyclon scutoides ~(環盾) [1]
          • −−− C. cinguli ~(帶) [1]
          • 2PN+ C. serratus cinguli 鏈鋸翼虫(帶) [2]
      • family: H Helicidae 卷形科
        • subfamily: Perissohelicinae 奇卷亞科
          • H3 Helicium solidus 卷虫(實) [1]
          • −− H. arcus saliens ~(鼓躍) [1]
          • −− H. arcus saliens ignis ~(鼓躍焰) [1]
          • −− H. arcus pedes ~(鼓步) [1]
          • −− H. cavus pedes ~(屈步) [1]
          • 2H3 H. serratus ocellus 鋸卷虫(斑) [2]
          • −−− H. serratus velox ~(迅) [2]
          • −−− H. serratus turbulentus ~(湍) [2]
          • 3H3 H. serratus turbulentus ~(湍) [3]
          • 4H3 H. serratus turbulentus ~(湍) [4]
          • H5 Pentahelicium solidus 戊卷虫(實) [1]
          • −− P. ignis ~(焰) [1]
          • 2H5 P. serratus limus 戊鋸卷虫(偏) [2]
          • H7 Heptahelicium solidus 庚卷虫(實) [1]
          • −− H. ignis ~(焰) [1]
          • 2H7 H. serratus limus 庚鋸卷虫(偏) [2]
          • H9 Nonahelicium solidus 壬卷虫(實) [1]
          • −− N. ignis ~(焰) [1]
          • 2H9 N. serratus 壬鋸卷虫 [2]
        • subfamily: Artiohelicinae 偶卷亞科
          • H4? Tetrahelicium(?) 丁卷虫 [1]
          • 2H4 Tetrahelicium serratus 丁鋸卷虫 [2]
          • −−− T. serratus fractus ~(碎) [2]
          • −−− T. serratus turbulentus ~(湍) [2]
          • H6 Hexahelicium solidus 己卷虫(實) [1]
          • −− H. ignis ~(焰) [1]
          • 2H6 H. serratus 己鋸卷虫 [2]
          • H8 Octahelicium 辛卷虫 [1]
          • 2H8 O. serratus 辛鋸卷虫 [2]
          • H10 Decahelicium 癸卷虫 [1]
          • 2H10 D. serratus 癸鋸卷虫 [2]
          • H12 Dodecahelicium limus 十二卷虫(偏) [1]
        • subfamily: Catenohelicinae 鏈卷亞科
          • HN+ Catenohelicium monospirae 鏈卷虫(單螺) [1]
          • −−− C. bispirae vacuoides ~(雙螺胞) [1]
          • −−− C. bispirae scutoides ~(雙螺盾) [1]
      • family: C Circidae 環形科
        • subfamily: Haplocircinae 單環亞科
          • C0 Circium lithos apertus 石環虫(開) [1]
          • −− C. lithos opertus ~(閉) [1]
          • −− C. ventilans 透環虫 [1]
          • −− C. ventilans tenuis ~(幼) [1]
          • −− C. ventilans lateralis ~(側) [1]
          • −− C. ventilans scintillans ~(閃) [1]
          • −− C. ventilans cumulans ~(疊) [1]
          • −− C. rupturus 爆環虫 [1]
    • (others)
      • (step delta only)
        • S2 Discutium pachus 乙盾虫(厚) [1]
        • H3 Trihelicium pachus 丙卷虫(厚) [1]
      • (compilation)
        • [S2,PS,P4~7,H3,C0] max-fleet [1]
  • class: Mesokernel 中核綱
    • order: Geminiformes 雙子目
      • family: G Geminidae 雙子科
        • 2G Aerogeminium volitans 氣雙子虫(飛) [2]
        • −− A. ambiguus ~(幻) [2]
        • 3G A. quietus ~(靜) [3]
        • −− A. labens ~(翔) [3]
        • −− Hydrogeminium natans 水雙子虫(泳) [3]
        • −− H. natans ~(泳) [3]
        • −− Spinogeminium solidus 棘雙子虫(實) [3]
        • −− S. limus ~(偏) [3]
        • 3GG Gyrogeminium velox 旋雙子虫(速) [3]
        • −−− G. tardus ~(緩) [3]
        • −−− G. serratus ~(鋸) [3]
        • 3GA Circogeminium ventilans 環雙子虫(透) [3]
  • class: Endokernel 內核綱
    • order: Kroniformes 冠形目
      • family: K Kronidae 冠形科
        • subfamily: Haplokroninae 單冠亞科
          • K4 Kronium solidus 冠虫(實) [2]
          • −− K. tardus ~(緩) [2]
          • −− K. vagus ~(遊) [2]
          • −− K. saliens ~(躍) [2]
          • −− K. limus ~(偏) [2]
          • −− K. dividuus ~(分) [2]
          • 3K4 K. solidus ~ [3]
          • 4K4 K. solidus ~(實) [4]
          • −−− K. saliens ~(躍) [3]
          • KG4 Gyrokronium 旋冠虫 [2]
          • K5 Argentokronium 銀冠虫 [2]
          • K6 Ferrokronium solidus 鐵冠虫(實) [2]
          • −− F. valvatus centrale ~(中閥) [2]
          • −− F. valvatus laterale ~(邊閥) [2]
          • −− F. tardus ~(緩) [2]
          • −− F. circularis ~(圓) [2]
          • 4K6 F. solidus ~(實) [4]
          • −−− F. saliens ~(躍) [4]
        • subfamily: Diplokroninae 雙冠亞科
          • K7 Aurokronium arcus 金冠虫(鼓) [2]
          • −− A. cavus ~(屈) [2]
          • K8 Synkronium arcus 連冠虫(鼓) [2]
          • −− S. cavus ~(屈) [2]
          • K9 Florakronium arcus 花冠虫(鼓) [2]
          • −− F. cavus ~(屈) [2]
          • 3K12 Caudoflorakronium 尾花冠虫 [3]
        • subfamily: Vacuokroninae 胞冠亞科
          • K10 Parakronium arcus 並冠虫(鼓) [2]
          • −−− P. cavus ~(屈) [2]
          • K12 Pentakronium arcus 戊冠虫(鼓) [2]
          • −−− P. cavus ~(屈) [2]
          • K14 Hexakronium arcus 己冠虫(鼓) [2]
          • −−− H. cavus ~(屈) [2]
          • K16 Heptakronium arcus 庚冠虫(鼓) [2]
        • subfamily: Caudokroninae 尾冠亞科
          • KC10 Tetracaudokronium cavus 丁尾冠虫(屈) [3]
          • KC12 Pentacaudokronium cavus 戊尾冠虫(屈) [3]
          • KC14 Hexacaudokronium cavus 己尾冠虫(屈) [3]
        • subfamily: Catenokroninae 鏈冠亞科
          • KN+ Catenokronium cinguli 鏈冠虫(帶) [2]
      • family: V Volvidae 輪形科
        • V2 Tetravolvium 乙輪虫 [2]
        • V3 Hexavolvium 丙輪虫 [2]
        • −− H. resiliens ~(彈) [2]
        • −− H. ulterior ~(遠) [2]
    • order: Symmetridae 對稱目
      • family: R Radidae 放射科
        • 3R4 Crucium arcus 十字虫(鼓) [3]
        • −−− C. arcus valvatus ~(鼓閥) [3]
        • −−− C. arcus anulus ~(鼓圜) [3]
        • −−− C. arcus vagus ~(鼓遊) [3]
        • −−− C. arcus vagus ~(鼓遊) [3]
        • −−− C. arcus gyrans ~(鼓旋) [3]
        • −−− C. cavus ~(屈) [3]
        • −−− C. cavus anulus ~(屈圜) [3]
        • −−− C. crux ~(叉) [3]
        • −−− C. crux rotans ~(叉轉) [3]
        • −−− C. crux ventilans ~(叉透) [3]
        • −−− C. crux ventilans ~(叉透) [3]
        • 4R4 C. ~ [4]
        • −−− C. ~ [4]
        • 4R3 Triradium lithos 三分虫(石) [4]
        • −−− T. gyrans ~(旋) [4]
        • −−− T. rotans ~(轉) [4]
        • −−− T. ventilans ~(透) [4]
        • −−− T. limus ~(偏) [4]
        • 4R6 Hexaradium solidus 六分虫(實) [4]
        • −−− H. valvatus ~(閥) [4]
        • −−− H. lithos ~(石) [4]
      • family: A Astridae 星形科
        • 4A4 Tetrastrium rotans 四星虫(轉) [4]
        • 3A5 Astrium solidus 星虫(實) [3]
        • −−− A. limus ~(偏) [3]
        • −−− A. rotans ~(轉) [3]
        • −−− A. scintillans ~(閃) [3]
        • −−− A. inversus ~(反) [3]
        • −−− A. reversus ~(倒) [3]
        • 4A5 A. solidus ~(實) [4]
        • −−− A. currens ~(衝) [4]
        • −−− A. rotans ~(轉) [4]
        • −−− A. rotans ~(轉) [4]
        • −−− A. nausia ~(眩) [4]
        • 3A6 Hexastrium 六星虫 [3]
        • −−− H. rotans ~(轉) [3]
        • 4A6 H. ~ [4]
      • family: Q Quadridae 方形科
        • 4Q Quadrium solidus 方虫(實) [4]
        • −− Q. minus ~(缺) [4]
        • −− Q. gyrans ~(旋) [4]
        • −− Q. vagus ~(遊) [4]
    • order: Criciformes 環形目
      • family: C Cricidae 環形科
        • subfamily: Cumulocircinae 疊環亞科
          • 2C0 Cumulocircium lithos 疊環虫(石) [2]
          • 3C0 C. scintillans ~(閃) [3]
          • −−− C. scintillans ~(閃) [3]
          • −−− C. lithos ~(石) [3]
          • 4C0 C. scintillans ~(閃) [4]
          • −−− C. lithos ~(石) [4]
        • subfamily: Polycircinae 多環亞科
          • 2C2 Dicircium inversus 雙環虫(反) [2]
          • −−− D. rotans ~(轉) [2]
          • −−− D. limus ~(偏) [2]
          • 2C3 Tricircium inversus 三環虫(反) [2]
          • −−− T. rotans ~(轉) [2]
          • −−− T. torquens ~(扭) [2]
          • −−− T. vagus ~(遊) [2]
          • 3C3 T. rotans ~(轉) [3]
          • 2C4 Tetrcircium torquens 四環虫(扭) [2]
          • −−− T. lithos ~(石) [2]
          • 3C5 Pentcircium rotans 五環虫(轉) [3]
          • −−− P. inversus ~(反) [3]
          • 3C6 Hexcircium inversus 六環虫(反) [3]
          • 3C7 Heptcircium lithos 七環虫(石) [3]
          • −−− H. ventilans ~(透) [3]
          • 3C8 Octcircium lithos 八環虫(石) [3]
          • 4C8 O. ventilans ~(透) [4]
          • 4C10 Deccircium lithos 十環虫(石) [4]
      • family: D Dentidae 齒形科
        • 2D6 Hexadentium rotans 六齒虫(轉) [2]
        • −−− H. scintillans ~(閃) [2]
        • −−− H. torquens ~(扭) [2]
        • 2D7 Heptadentium rotans 七齒虫(轉) [2]
        • −−− H. scintillans ~(閃) [2]
        • 2D8 Octadentium rotans 八齒虫(轉) [2]
        • −−− O. scintillans ~(閃) [2]
        • −−− O. alternatus ~(間) [2]
        • 2D9 Nonadentium rotans 九齒虫(轉) [2]
        • 2D10 Decadentium rotans bioculi 十齒虫(轉雙眼) [2]
        • −−−− D. rotans trioculi ~(轉三眼) [2]
        • 3D10 D. rotans ~(轉) [3]
        • 4D10 D. rotans ~(轉) [4]
        • −−−− D. vagus ~(遊) [4]
        • −−−− D. volubilis ~(滾) [4]
        • 4D11 Undecadentium rotans 十一齒虫(轉) [4]
        • −−−− U. scintillans ~(閃) [4]
        • 4D12 Dodecadentium rotans 十二齒虫(轉) [4]
        • −−−− D. scintillans ~(閃) [4]
        • −−−− D. nausia ~(眩) [3]
        • 4D13 Tridecadentium rotans 十三齒虫(轉) [4]
      • family: F Folidae 瓣形科
        • subfamily: Florafolinae 花瓣亞科
          • 3F2 Bifolium lithos 雙瓣虫(石) [3]
          • −−− B. lithos limus ~(石偏) [3]
          • 3F4 Tetrafolium lithos 四瓣虫(石) [3]
          • 2F5 Pentafolium lithos 五瓣虫(石) [2]
          • −−− P. incarceratus ~(囚) [2]
          • 3F5 P. incarceratus ~(囚) [3]
          • 3F6 Hexafolium incarceratus 六瓣虫(囚) [3]
          • 3F8 Octafolium lithos 八瓣虫(石) [3]
          • −−− O. lithos limus ~(石偏) [3]
          • −−− O. tardus ~(緩) [3]
          • 4F8 O. lithos ~(石) [4]
          • 3F12 Dodecafolium lithos 十二瓣虫(石) [3]
          • 4F12 D. ventilans ~(透) [4]
        • subfamily: Frugofolinae 瓜瓣亞科
          • 4F7 Heptafolium nausia 五瓣虫(眩) [4]
          • 4F9 Nonafolium lithos 九瓣虫(石) [4]
          • −−− N. rotans ~(轉) [4]
          • 4F12 Dodecafolium lithos 十二瓣虫(石) [4]
          • 4F13 Tridecafolium lithos 十三瓣虫(石) [4]
  • SmoothLife
    • Bug(smaller) [1]
    • Bug(bigger) [1]
  • Conway's Game of Life
    • Glider (diagonal c/4) [1]
    • LWSS (orthogonal c/2) [1]
    • MWSS (orthogonal c/2) [1]
    • HWSS (orthogonal c/2) [1]
    • Glider gun [1]
    • R-pentomino (methuselah 1103) [1]
    • Galaxy (oscillator) [1]
    • Copperhead (orthogonal c/10) [1]
    • Weekender (orthogonal 2c/7) [1]
    • Lobster (diagonal c/7) [1]
    • Pufferfish (puffer c/2) [1]
    • Switch engine (puffer c/12) [1]
    • Max (spacefiller) [1]
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