Polyhedron(V=120) from Biscribed Pentakis Dodecahedron for the case of a trisection of its 10th-order segments
A polyhedron is constructed whose V=120 vertices are the points of the trisection of the segments the same length 10th-order (g=10) of the Biscribed Pentakis Dodecahedron.
Geometric Constructions are in Applet: Series of polyhedra obtained by trisection (truncation) different segments of the original polyhedron, and the resulting polyhedra in Applet: Serie of polyhedra obtained by trisection (truncation) segments of the Biscribed Pentakis Dodecahedron
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kyWpg5jVKOL0AIh7Rkhrhcc+yrk9PtMXIa4LDdT45nuI20513i6iMEMK6FujBtIh7AH3WefcfUrjeojvFKJLHtu3CSxBQrz/4rLc48wCW2Fz54kvZXr3xZlfEvGJXuAu1AVOG3BRXbBlJs7W0E2AvggyM30TnOFZZ+nGQcBrmscIXx5wqz345DXzi/q1/s5zw2XAZ+uLK+oLJ2mgxLv2+ubMtovnw2YcshDWFcmNKSGedzhdnvq5PDueoBdj85nuE24IeLMKfZdUnsNBmW/jDz6epjPhbqwrTJafBHnWffMbXz2WE7bTwSWmzxAxWtTDPiB9F15WFcYguRvjaQuUtlGBbsWcMC6oC3ETrPlFH4alcjudjD5fo6Tq2kuN724+SG/YEMJx0OClsh8x0wl1UtroPxleU2sJpgv6uMHWY/g/Jw8fjF+V394vycx2bOnDmUzissPL5xWlDZfOfKtowWZk6jlPNZMkNe4Aqz31enKy/XY8+H3U/Ox4zVvEtcfWQBRDlZn/TbYfaHaVOWizrPYa3T2eWkf7wSWmzxoxhEjR7fq6feJ7PatFeVyCfDdhyvVnOB1TNWwWgDQgth5bSrXU3DfcqkDb/6dS6rrA/bCpnPylUYK1wyv/SvWrWKysEymW21TOazw+xH/wAMpWNPDY9TnD+XtS8XJ06coAsfJyse4+Qjb1DZfOfKtowWZk6jlMOFizhcZOgLWzKTfbPD7PfV6crL9djzYfeT8zFjNe8SVx/zsVAXps1c1ukQ76obft8xBWHnZbwKb+Q92zC4xJZWtg6/osQFNyJcVGrJ7MHhQT6mqYktVqi97XUEPkaw0xUlKmrJ7MHjQT6miYstv/9KVE8deUcWbyCMvI3QenRUOUVRlAeZgqxsFUVRlGxUbBVFUVJAxVZRFCUFVGwVRVFSIFBs8Y003nPDy8gyHt94V1RUZMUVCrSNzwfxXTbHdXd303fQ+MUS313jU0DENzc30zfVeE8P8QhzmSjgHcHxZrotzT5FMf+XDxgTv4+ZNEnUneacTyQwJ0ket1zHKp/jkHRf8yFQbN9880161+3IkSNZ8UuXLk3llYzOzk6aKPQBcDw+N0T7EH3EL148bKeBv6uGOMNdsSLcV2VAmm9D2fH2fl+afcK7jhBal/m/fEnSTGHSTBQTfknPYdT6MCeYG1daHFBXUH35HIek+5oPgWILscNFJ0ULFoPwRQw+JZV5C4l9MGBAg9uXB4JfiO7r6yMXX5hwmVzIgyLrHC+k2adCtiXnebxh9208ngcg6TmMWl/S7aOuoPqQFvc4JN3XfMi5Z4vHdQguBA5hfIKKz+Y4HdaBYCaNw2HA0p4n2Mb1uMBpdjyEH/FsSQj95Hxwwx4g23wbl41j0g5gNe4yH4fPCfmRRvo5f5JmF7len+nFOOb/AI4Pm+Tbu3cvhcO2b88ztirYohnXgf6gTl5puerOZdoQcN08t/axsLH7hjj40U6c88A1Ht+cB/XRHqurn/Y8+84zV59c9bnGh6dJ1IVPyFEe+ZHXBnnwWS6bR8Q5zWm+8XP78KM9zDf8KIu6kBblOPj6as9TnOORDznFtrq6mjqLLQXslaIj+/bto7SLFy/SoHgwTG1tLYkGeP/9cOYUg0D9dhugvLycVtnHjh2jMBuqgB8uJkrmD0K2ARd1xTFpB3zl4QcuP/qapNlF2YbL9CKXiWr+b+3atXQSw79kyRIKR2mf4+DHkwc/fbDBEtxA8UTFJ76rblxc8EuzgTZcN/K5joULpAMZdpX1jVfiGo9vzuH39dE1VoQB5+Ewz7NMl37fHMs8wDU+3Lzg//LLL0fll3AaG1GCqHNa0PgB/PgtCBqDxR22B3GzQVqU4+DrK/t5noL64zse+ZBTbNEpGH/AwHFnhbhiL0/mQYdkGBcjhAPm3RYsCGdOMQjUb7eBuxLi8GMOx/HFBT9cvpAlfKcE8kTguCA/BJDDwGVeDsgyUf2+NDtO3kh8/eIw55NwGfjhyvqCyh09epTSTp8+TS5urFHal3EsiPDL/khcdecybQi4bi6HOOl3YafLsPT7xitxjUfGwUWY/TKe/cA1VjtPUFj6XX2y8wDX+NA+5+F4zi+RaXB5jCDM+LEFiGsUq1jEYfUq06Xf1U/E+/oq/bI8p7n6I/35klNswfr166nBkpISU1ZWNird7gwEGSIN4JdpQAqejRRAhtM4jHpxF9u1a1dWPiz3kQ8rALhRfiDjAwTzbbI96eeVQZB5OeArz23grh908sow+xleMeCxifP7+sVlOJ8krvk/1I9HWrz1ARfhKO3LeZZiC/uqiMeqC6v3d955h+JddecybQjiiK3sG8K+smHOA9d4fHMOP7D9wDXWoH7KdPs8882xXZ9rfHzN4g0fuIDbk3AarwrleRpm/ADXNVb0rpWv9PuOg6+v0g/iHI98CCW2uLvggAB+9JDYnZFhlJFpUcEFzQNGXdjKwN0eYRwQwHc0PE7wnhRcTKJdnw9pvg0XKd8k4LI/jHk5IMtIv8/0oszjK4++gbBmF+16bOKa/wN888U4EI7Svpxn5AWIx0qZ99+wRYL9YMS76s5l2hBw3bIPrv5IwprwC3MeuMbjm3NZt/QD11jtftplfOeZb47t+lzjwz4oHu+x14m88HN7Er5WXeepb/yYZ1kfbi4I8xtPUY+Dr6+yLIh6PHhsXD4qocQ2F3YH5ICkX1GUB5t8BQkLJqxUIaBYmbvyTFQKIrbYp8UKGOBxU6YpivLggtWsaw87LFhpYjWK1akrfSKTt9jKx3w8nuDXdLyBwG8j4AcVVzlFUZSHiURWtoqiKEowKraKoigpoGKrKIqSAiq2iqIoKaBiqyiKkgIqtoqiKCmgYqsoipICKraKoigpoGKrKIqSAiq2iqIoKaBiqyiKkgIqtoqiRAbmCLdt21ZwpOnPiY6KraIokYEQsgGqQvLyyy8725+IqNgqihIZFtuf/vSnJIhJg/+3U7FVFOWhh8W2UGJY6PrHAhVbRVEio2IbHRVbRVEio2IbHRVbRVEio2IbHRVbRVEio2IbHRVbRVEio2IbHRVbRVEio2IbnVBie+rUKfp7Yvwt+bJly8y0adNMf3+/M28cPvroI7Ny5UqzadMmZ3ohqKqqMkuXLqUxtbS0OPPE5ciRI+bpp5+mus+dO+fMkw+1tbVm9uzZzrRCgLmaNWuWKSkpKch4XJw/f57etSwtLXWmF4IXX3zRPPbYYzS3lZWVzjyFAMdz8eLFZsGCBeazzz5z5okL6n7yySepbsypK08cwoqhfW0jDA3BeIPOpThi62orKV2x64qjH6HEdvXq1TTwRYsWmYMHDyYqtMyePXvMunXrnGmF4NixY+SWlZUl/h/1nZ2d5EIs6urqRqXnC4Qc4udKKwT79+83v/zlL01vb68zvRBA+F555RW6cbnSC8WlS5foPOdjmAbPP/88XVfl5eXm7bffduaJC25Whw4dMps3b6bj6MoThyhiKK9taAn6s3PnTsLOy8Rd2do6kqSuyLri6Ecosd2yZcuI2GISXHnyJW2xBRAPjKmxsdGZng+7d+8uyKoZB3bv3r2pii0EAEKwcOFCc/r0aWeepFm1ahWtIrCawMXpylMIcH7v2rXLmVYo8P0/5vaJJ55I/Mlh/fr1dG1BdOF35YlDXLFdsWIF3UD37dsXeL2Pd7EFUfUjlNhCMPB4VVRUZOrr65158iXJSQkDVudr165N/LEN8MofArV9+/ZR6fmAkxVChK2cN99805knaXhFu2bNmkRXR0GgLYhsRUVFwW7wLiB4DQ0NzrRCASHEYym2Ll577TVnnri0tbXRzQPnzHhY2WKsNTU1FBd0XMe72MbRj9B7tlOmTKHB4yJPWhTPnj1L+x+PP/54QVaZLvBYNW/ePLN8+XLa13LliQsej/B4gfFg7lx58iXNlS1OfJxYGE8hbk4usP2C1d7cuXNpv8yVpxBMnjzZGV9IcBFjy6kQ58vJkydpCwhPWRBeV544hBVD+9qurq4mwcWe7SeffOIsA+KIrd1Wkrpi1xVHP0KJbXFxMQ0cBwvu1KlTnfmU+/T09KS6x1louru7TV9fnzOtUGD+0p7DQvweEYZCni84dkmPK+7KE4Q5rvnUP14JJbZYqc2cOZNEdsaMGWbHjh3OfIqiPBwUWgwfWrFVFEWRqNhGR8VWUZTIqNhGR8VWUZTIqNhGR8VWUZTIqNhGR8VWUZTIsBjilTX4k0b/FkdRFCUDBBFiWGhUbBVFeajBJ8YQwkJz4sQJZ/sTERVbRVGUFFCxVRRFSQEVW0VRlBRQsVUURUmBUGILS1+uXwrB9OnTnWWicL231/y7vNwMZdq5I/6BYLC52dyeP98MTZlibs+bR2FZLh96eq6bsrLvzNSpQ2bGjDtmz56/U3xz86CZP/+2mTJlyMybd5vCdtlcDPRdN50HvzMtm4ZM67Y75vJHw3X3dwyaCxW3TcvGIXPhN7cpbJfNxcC1XlPfWW4Ot04z77ffn6vL/c3m2IX5pqplSsadR2FZLh96B66b8vp/m2mHh8zs9++MxDdfzszVscxcVWXmKuMiLMvlxUCv6awvN62Hp5n29++Ps/9ys7lwbL5pqZqScedROKtcHly93msO/bvc/Gpomtl+536bHYPNpuL2fLNxaIr5ze15FJbl8uV6f6/57syvzVD1EnPnyHLz9z/WUPzg5VZz+1iZGapanHHXUNgum4uevl5TdvDXZuqmJWbGtuVmz0fDdTd3tJr5FWVmysbFZt5v1lDYLpuTMThGuRjov2bO1lwx//tsx0jc1d5r5lB5p/nVtFazfXZ7Vv6wNGe0B5bTYP0Q1r4QduULIpTYwm4qhBVGaJL8aw3mX1u3mkwD5h+VlVmCenP1aor/tqaG3FsrVmSVy4empkGzc+c/TXf3dVRNoov41atvUrim5ltyV6y4NapsLq5eGDTdH/zTDPReNy0vGBJdxHf+/iaFr5z9ltyv90Wv+9Ourebdlknm88uVWYJ6pnM1xX91pYbcD79Obq62fvovM+ldYyo//0eWoK4+k5mrTHzNV5m5yrgrPow+Hh9dn241Le9OMpc/r8y6WDvPrKb4K1/VkPv1h8mN8+i/tpoXzCTzf/+ozBLU399cTfFnv60hd9+t5NoEg11fmH82vmWuX+0x5t2FJLqIv3nmVQp/+1Udubc+/NWosrlouvCF2fnBW6a7t8dMemEhiS7iV//+VQrXnK0jd8W+6HWPxTEK4krngHmpqNW8MKmF4PijW7so/H+Vl01HczzrZ/xvNbDFCxd2pV35ggi9jbBhwwZqBKqOvw5x5YnLDyUlJKbXe3qy4u8WF1P8tb4+cu8msIq2wco1U7V55plhoSguvkvhvr7M5GTc6dPvjioTFqxcSVT3DtfduuUuhXH3hdv6UvS6a9tLSEz7B7Lnqqa1+F58H7mHW5Obq5LaH0hMe/qvZ8UX12TmKhPflxkP3OmH48+VTXttCV2oA/3Z42ytKb4X30du6+Hkxvn6DyUkpn3Xs9vccreY4vuv9ZH70t3kz0OAleuwqG6k8N2an1H4Wv9Vcu8e/p9RZcKClStE9Zm9w3UXb/kZhfsydcOd/lL0usfiGIXBFtvXS9op3NczkJUvCmxmFmZG4cZ5oo+0Z4v/voqr6kFgmwDcLC01Q0VF5m/3/tMHcVA8+OEOFcCO7uTJxixb9h/aVkAY2weZpsgPl1e8cWjdaMzF3/2HthUQxvYBRJb8GZdXvFHANgH4uKM0I6hFprlneK4QB5GFH251S3JzhW0CUPrxTVN0eMgcaP7bSDxEFn64U6vjz5UNHkFBx8elmYu1yPQ0D4+T4jMXMPkzbkt1cuPENgF462apeWmoyJz523CbiIPIwg9301Bh7DmbqkXmP3UbaFsBYWwfkNgiLePyijcOkzcuMst+t4G2FRDG9gFEFn64vOKNwlgcozDYYrtxSgvxVmkHrXzPHMi+OYSB/zwBfrhxbHpHElv89xUagpV1V3pcWFT/3NBA7p17/0JASnhvgHCRT5ZLgvb2P6FqElyE7zVJfrgQX5k/Cv3dfyJRheAiDPHNEtuM+Mr8YWBR7braQO57bcNzVdU6OUtskU+WywcW1YauP5M7673hfdvJVZm5EmKLfLJcPvAFe7Wrgdy294bH2Vo1OftCzuST5fKBRbXtzw3kvnpnuM2NZnKW2CKfLJcUf7rSQaIKwUUY4pslthnxlfmj0N7dQaIKwUUY4ivFFuIr84dhLI5RGFxii3Bbw1VyX50V/R8r8A8eUmwhvnaeXIQWW/y9Bn4ogxHxpP/E8E6mTqgc/FA4FlVsGyDM8YXYRgCZqkdEFdsGCHN8PtsIQIoqtg2k2MbZRnivbSYJK/xSVLFtIMU2yW2EmRlxhbDCL0UV2wZSbJPcRmh7byZdtPDLCxaPpPJCTvIR9eU7M0lY4Zeiim0DKbaF2kYAUlSxbSDFNp9tBCBFFdsGUmzjbCOMxTEKgy22L89sMxsnD/8AiHiIL6eFBdsGUmwLto2AX97w4xjUHaJrpz/33HOmpKTEzJkzJ9bfb3xXVkZiOtjYSC72cBF/a+VKCt84fpzcJH8gq629Yerr/2LOn/8GVZu5c3+g+JUrb1H4+PEb5Mb5gexKww3T98VfTH/HNySq7TuH6+7Yf4vCvU03yI3zA9mZzjIS066rjeRiDxfxpzpWUri99zi5Sf5AVnbmOxLTxq5BcrGHi/iVpzJzlQkfb8/MVcZN8geyzjNldKFe7WokF/uDiO84tZLCve3HyU3yx5eD35WRmLYNNpKLPVzE77+1ksJNN46Tm/QPZDdaPzZ/6Wg039zbs/2htpTib53aTOEb7fXkxvmBrLbhY1P/RaM5f2/Pdu7O4bpX7t9M4eNN9eTG+YFsLI5RGGyxPVjWSeG2xuGVLfZwZf4w4F+eIbL4TBluwX4gw49iaABii70KBktpKPyyZcuoM3G/Y/4ms1L+fsECgxUthBbiivjBpiZ65Qvx9OpXgn/z3Ng4aBYt+p5WtHPm/NfU1f2V4vGWAl754le/zp2L/jrT1bZBc7Hye1rRtr/+X9P7x+G68ZYCXvkaefXrYvS6r/S3mA8uLKAVLYQW4or4rqtN9MoX4odf/UpurlqufGMWfJCZq8yKFkILcUV8U0Z88coX4uGeS/DVr/4rLebCBwtotYSLGBcu4q92NdHrRIgffq0ouXFe+qbFVHy/gFa0EFqIK+IvDDbRK1+Ih3txMNm/Gx/sajbfnyinFe1/a1eZv7YP/xEi3lLAK1/3X/36alTZXDS2NZtFleW0op3z+ipT98fhuvGWAl754le/zl2MXvdYHKNcbCm+/zYCVrO93QPmUku/qVhwgVa0ENqm49H/660po0XQQX71K85fzkfas/WBf5p85JFHYr17piiK8jCQiNiWl5fTqvfnP/+5M11RFOVhJxGxxZYC/uY8zi90iqIoDwOJiO2aNWtIcH/xi1840xVFUR52EhFbRVEUJRgVW0VRlBRQsVUURUkBFVtFUZQUCCW2u3fvNuvWrRv1dVhdXZ2pqKjIiosL6ob5smeffXYkrru7mz6WwI9veJEYLxYjPgnbkr29vfTKGj5Bni1s6I73ukHacwW0zcK1qediMvT09JiysjJqF1+87tmzh+J9/YlCEn0PJbZsz/bIkSNZ8UuXLjU7duzIiotDZ2enKSoqojYAxx84cIDqh6gjng3gJGFbcuvWrVS2srIya+LGe91jMVfaZuHaBHouJgNEdOfOnSSuqB/iinhff6KQRN9DiS0mFYouG2hoaKAPGZI0Jo5BAA7Dbi7Xj3ievCRsS8KWA8ribijjx3vdDMoDDhdyrhhtszBt6rmYLLipoP5nnnmGwr7+RCGJvofes8UyHIKLjiMM4zNPPfXUqHz5gEEAOx7Cjvi5c+dSGP3gfHDjTB7qAKWlpXR3xt2P48dz3QzKc12SQswVo20Wpk3UA/RcTAYsAmGvxb7B2P2JQhJ9Dy221dXV1Ai2FLBMx4Hbt2+fM29cUD8PSMKfAx87dozC8MuBYyJk/jDw5PEBmHXPhu54r5tBea5LUoi5YrTNwrSJciiv52IytLe3U/0QXBlv9ycKSfQ9tNhiI/zRRx+l/Q7s/2DDHZvvrrxxwSB4QAxMOiLu0KFDI3FYwsuBx1nSwy4vJhB+1MGTN97rZlCe62IKNVeMtlmYNvVcTB7ULwXR1Z8oJNH30GIL1q9fTw1hHwi/+nF8vvZsGdTNAwKoC0v+Xbt2ZeXDlgby5WNbEv1H2cbGRnLRf8SP97oZlAccLuRcMdpmYdrUczEZamtrTX19Pe3Pon70AfG+/kQhib5HElsMBHdJgF/2OD5fe7aAN6AB6sdWRVVVFYWxPwJgxhF58asjXr/AnQtuHNuS+LeJBQsWUB04ATGJiB/vdYO05wpom4VrU8/FZMANZdGiRVQ/Fn6sUb7+RCGJvkcSWx9qz1ZRFCWYRMSWN57Vnq2iKIqbRMQWS3O1Z6soiuInEbFVe7aKoijBJCK2iqIoSjAqtoqiKCmgYqsoipICKraKoigpoGKrKIqSAiq2iqIoBeea+X/c5xSql/dRCAAAAABJRU5ErkJggg==)
![Image](https://www.geogebra.org/resource/taefrgnw/5XcALD4Dt1xy7Ind/material-taefrgnw.png)
1. Generating Elements of mesh modeling the surfaces of convex polyhedron and its dual image
2. Coloring edges and faces of polyhedra
3. Properties of polyhedra
![3. Properties of polyhedra](https://www.geogebra.org/resource/hdjxepmf/SlXEOxEIsAKWGnyQ/material-hdjxepmf.png)